Martin Luther King and Henry David Thoreau Essay

Martin Luther King and Henry David Thoreau - Essay Example Martin Luther considered conscience as an important aspect in distinguishing between just and unjust laws. Conscience enables a person to differentiate between laws that should be obeyed and laws that should be defied. Thoreau had similar views concerning conscience as the basis of determining just and unjust laws. Conscience is the notion of right and wrong according to the moral of a given society. The writer also argued that majority rule or democracy is not a basis of justice (Jacobus 12). According to Thoreau, majority rule is incomparable to human conscience in distinguishing between just and just laws. However, Thoreau considers that majority rule or democracy should be applied as a last resort. The majority rule should therefore be applied in places where other mechanisms such as human conscience cannot be applied. The positions taken by the two authors concerning just and unjust laws are similar. However, martin Luther bases his conscience on moral law or the notion of right and wrong according to the law of God. Although the two writers had different basis for differentiating between just and unjust laws, they had similar views on how a person should handle both the just and unjust laws. Just laws are beneficial both to the subject and the nation, obeying such laws is not only a legal duty but also a moral responsibility. Martin Luther considered laws that uplift human personality to be just laws while those that degrades human personality to be unjust laws. Thoreau also had similar views concerning just and unjust laws. According to the writer, just laws are beneficial to the people while unjust laws were of no benefit to the people. Unlike martin Luther, Thoreau’s arguments concerning human conscience, unjust and just laws were based on the insufficiency of democracy or the rule of the majority. Thoreau used the weakness in democratic

Senior Project - Team Video Analysis Report Essay - 1

Senior Project - Team Video Analysis Report - Essay Example Without clear goals or a financial projection, the ideas are being tossed at the team who is left feeling vulnerable and without direction. 6. Team members do not know how to organize and create strategy. It is clear that the basic tools of strategic management are outside of the knowledge of most of the team. This means that a part of the team is not working up to their potential, decreasing the efficiency with which goals are met. The head of the company is unaware of the steps that were taken to create the success that she has achieved. The problem with this lack of understanding is that she is unable to create a future without having a clear picture of the past. Understanding the importance of the past is the first step in creating a strategic methodology for continuing into the future. Charting how the company was built, all the milestones and the ways in which they were achieved would allow for Elizabeth to create a clearer picture of how her company evolved. Recognizing how she was prepared for opportunities and how she utilized those opportunities would give her a better grasp of her current success. In addition, she needs to look for lost opportunities and how she can be better prepared from them in the future. Once this understanding has been developed, she can move forward to create the business plan that she needs to continue her success. In order to address the problem of a business plan, Elizabeth needs to establish what her company stands for in regard to its mission and goals. This development of a business plan will provide a framework for expansion as new markets are examined for potential benefit. Through a clear statement of who the business and how it operates, she can better establish a strategic plan towards the future. The business plan needs to be built upon the establishment of a mission statement. A mission statement will help to define the business so that it can stay

Huckleberry Finn Essay Example for Free

Huckleberry Finn Essay The Adventures of Huckleberry Finn, written by Mark Twain, takes place during the antebellum era, and revolves around a young boy, named Huck. The antebellum era was the years right before the Civil War, so Huck was living in a dark and murky time in American History. Huck starts off by living with The Widow Douglas and her sister, Miss Watson, who is trying to civilize him or make him to be what the perfect child should look like and make him act how a perfect child should act. Huck does not want that. He just wants to live how he wants, just like most youth want. In the novel, Huckleberry Finn befriends a runaway slave, Jim, and his adventures begin. According to Dennis Puopard, Mark Twain exposed many of the dark problems of antebellum United States. Some say Mark Twain wrote this episodic novel as a boys adventure story and that Huck is a character that children should look up to. (422) Modern readers do not see Huckleberry Finn as a childrens book because the book is racist, there a themes of lying, and characters object and criticize authority. Because, modern readers see the book as improper for children The Adventures of Huckleberry Finn is on the banned books list on many school in the United States. In The Adventures of Huckleberry Finn there are racial slurs, lies, and profanity. The Adventures of Huckleberry Finn is not a childrens book in todays society because of the prominent theme of race. The topic of race and racism is strong in todays society. If a modern American citizen uses racial slurs against another race in a hurtful way that citizen would be convicted with a criminal offense. A racial slur such as the word nigger is not tolerable todays society. The word nigger was used to belittle and dehumanize African American slaves, such as Jim, in antebellum United States. Through out the book, The Adventures of Huckleberry Finn, author Mark Twain includes racial slurs such as the word, nigger toward African American characters, such as Jim and other slaves. Good gracious! anybody hurt? Nom. Killed a nigger. Well, its lucky; because sometimes people do get hurt. ( Twain 109). This quote shows how the white society views Jim different then themselves. They view Jim as property rather than a human with a living breathing heart. This dialoged between two white characters just shows how hurtful and cruelly someone can sound just by taking. Barbra L. Jackson professor at Fordham University in New York City says, It is hard to teach The Adventures of Huckleberry Finn in a diverse class because of its racial views. (63). If a college professor has a hard time teaching the book, The Adventures of Huckleberry Finn, to her class, how can it be easy for high school students who are studding the novel, or even young boys whom pick up the book and start reading it? Also, Barbra L. Jackson says, I always see a lack in participation, when studying the book, the students do not want to read out loud, (64). The students do not feel right saying nigger out loud because they do not want to offend any of their classmates. The students know that the word, nigger is a taboo in modern society. The Adventures of Huckleberry Finn should not be taught or read to children because of the racial slurs. The type of racial language that Mark Twain uses in the book is offensive and crude. The exposure of the racial slurs to young children would be harmful. The young children will think it is okay to say the new words they discover from reading The Adventures of Huckleberry Finn, which would get them into trouble in the future.

Processes and Applications of Fermentation

Processes and Applications of Fermentation Hort-312 (1+1) Topic: Fermented Food Dr. Ananta Saikia Sir, Murchana Malakar Introduction Fermentation is the process of producing a fermented product by the mass culture of micro organisms involved in it [14]. It is derived from the Latin word fevere meaning â€Å"to boil†. Biochemically, fermentation is a process in which an agent causes an organic substance to break down into simpler substances; especially, the anaerobic breakdown of sugar into alcohol. It is the oldest most which is the most economical method of preserving food [2]. The local people have been using the microbes without knowing their effects to produce the fermented products [10]. For household purpose, fermentation is followed with simple processing methods. Due to the lack of sterility, the end products often contain mixed microbial population [8]. Fermentation promotes digestibility and improve the health of human beings [6]. It promotes the shelf-life reducing volume, less cooking time and higher nutritive value. It helps in the detoxification of undesirable compounds such as phytates, polyphenols and tannins[11]. It also enhances the aroma and flavour of the fermented food. For industrial purpose, it is carried out on a large scale for manufacturing of the product. But in the second phase Microbiology evolved as a science for the first time in the history of fermentation [3]. Processes involved in fermentation:[7,13] Acetic Acid Fermentation: Acetobacter spp. is the main microorganism involved in this process. It aerobically converts the alcohol to acetic acid. Examples: Wine, Cider and melt honey. Lactic Acid Fermentation: It is carried out by lactic acid bacteria. Examples: Pickles, sauerkraut, kimchi Alcoholic fermentation: Yeast is the main micro organism involved in this process which yields ethanol. Example: Brandy, Beer, Whiskey Alkali fermentation: It occurs in case of fish and seeds which are used as condiment.Example: Fish sauce, bagoong. Types of fermented food: Cereal based fermented food: Cereal grains are considered to be on one of the most important source of carbohydrate, protein, vitamin and mineral. It improves the texture, aroma of the end product. Most common type of cereals (such as wheat, rice, sorghum or corn) is used for the preparation of fermented foods. The bacteria species involved includes Leuconostoc, Streptococcus, Bacillus, Pediococcus, Lactobacillus, and Micrococcus. Fungi genera include Fusarium, Cladosporium, Penicillium, Aspergillus, and Trichothecium. The yeasts include Saccharomyces[10] (Steinkraus, 1998). Table 1: Commonly used cereal based fermented food and beverages [1,4,5,9, 12]. Anarshe Rice India Ang-kak Rice South East Asia Bagni Millet Caucasus Banku Maize Ghana Bogobe Sorghum Botswana Brem Rice Indonesia Busa Rice Egypt Chee-fan Wheat China Chicha Maize Peru Chonju Rice Korea Dalaki Millet Nigeria Dhokla Rice/Wheat India Dosa Rice India Darassum Millet Mongolia Hamanatto Wheat Japan Idli Rice India/Srilanka Injera Wheat/Sorghum Ethiopia Jalebies Wheat flour India/ Nepal/ Pakistan Kanji Rice India Kaffir beer Kaffir corn South Africa Kisra Sorghum Sudan Lao-chao Rice China/ Indonesia Me Rice Vietnam Miso Rice and soybeans Japan/ China Nan Unbleached wheat flour India/ Pakistan Nasha Sorghum Sudan Ogi Maize/Sorghum Nigeria Puto Rice Philippines Pozol Maize Mexico Rabdi Maize India Sorghum Beer Sorghum/Maize South Africa Sake Rice Japan Takju Rice/Wheat Korea Torani Rice India Tape ketan Rice/ Cassava Indonesia Uji Maize/Sorghum Kenya Vada Ceral India Legume Based Fermented Foods: Pulses are the chief sources of proteins. The micro organisms involved in it are: Mucor sp., Aspergillus spp., Lactobacillus sp. , Saccharomyces sp. Table 2: Fermented foods of legumes [6]. Aagya Soybean India Chee-fan Soybean China Dawadawa African locust bean Nigeria Kecap Soybean Indonesia Khaman Bengal gram India Meju Soybean Korea Natto Soybean Japan Soybean Milk Soybean China Tempeh Soybean Indonesia Waries Black gram India Fermented Milk Products: The fermented milk products have higher nutritive value, better keeping quality and it has a strong therapeutic potential. Micro organisms involved are: Lactobacillus sp, Saccharomyces sp, Acetobacter aceti, Yeast. Table 3: List of Fermented milk products [6] Buttermilk Bovine USA/ Australia Chhurpi Yak India Curd Bovine, Buffalo India Cultured cream Bovine USA Koumiss Horse, Mare, Camel Russia, Asia Kefir Bovine, Goat Russia Laktofil Bovine Sweden Lassi Bovine India Leben Ewe, Goat, Sheep Labenon, Iraq Quark Bovine Germany, Europe Viili Bovine Finland Yoghurt Bovine/ Goat Turkey Fermented Fish Meat Products: Meat and fish are the rich source of proteins. Fermentation helps in increasing the shelf life and also gives unique flavour and texture to the final product. It involves the micro organisms such as Actinomycetes, Pseudomonas, Yeast, Penicillium, Lactobacillus, and Micrococcus. Table 4: List of Meat and fish products [6] Bacon Cured Meat Europe Bagoong Fish Philippines Fish sauce Fish South East Asia Ham Meat Europe Katsuobushi Fish Japan Fermented Fruits Vegetables: Fermentation is the oldest method of extending the shelf life of perishable products. Table 5: List of fermented fruits and vegetables [6] Gundruk Radish India Kimchi Radish Korea Olive Olive Spain Pickle Vegetable India Yan-taozih Peach China Sauerkraut Cabbage Internatinal Soidon Bamboo shoot India Yan-tsai-shin Broccoli Taiwan Benefits of Fermented Foods: Variation in the types of fermented products Important ingredients can be prepared from it Quality is increased to a great extent. Preservation increases the shelf life. It helps in the recovery of a disease free life. Raw materials can be digested to a great extent. Conclusion: Fermented products which are associated with several cultural and social aspects contain a wide range of probiotics. The tactics which are practised by the ethnic groups reveal the correlation of nature with the people including the micro flora. Value added methods are practised by genetic improvement, strains of micro organisms, using of immobilised systems which will lead to industrialization of the food products. Hence, the fermented products can be maximised and commercializing the technological development in terms of financial support by the governing agencies. References: [1] ] Adams, M. R. (1998). Fermented weaning foods. In J. B. Wood (Ed.),  Microbiology of fermented foods (pp. 790–811). London: Blackie  Academic. [2] Billings, T. (1998). On fermented foods. Available: http://www.living-foods.com. [3] Caplice, E., Fitzgerald, G. F. (1999). Food fermentations: role of  microorganisms in food production and preservation. International  Journal of Food Microbiology, 50, 131–149. [4] Chavan, J. K., Kadam, S. S. (1989). Critical reviews in food science  and nutrition. Food Science, 28, 348–400. [5] Harlander, S. (1992). Food biotechnology. In J. Lederberg (Ed.), Encyclopaedia of microbiology (pp. 191–207). New York: Academic Press [6] Jeyaram, K., Singh A., Romi, W., Devi, A.R., Singh, W.M., Dayanithi, H., Singh, N.R. and Tamang, J.P. 2009. Traditional fermented foods of Manipur. Indian Journal of Traditional Knowledge 8(1): 115-121. [7] Modi, H.A.(2012). Aavishkar Publishers, Distributors, Jaipur, pp-1-203. [8] Nout, M.J.R. and Sarkar, P.K. 1999. Lactic acid food fermentation in tropical climates. Antonie van Leeuwenhoek 76: 395-401. [9] Sankaran, R. (1998). Fermented food of the Indian subcontinent. In  J. B. Wood (Ed.), Microbiology of fermented foods (pp. 753–789).  London: Blackie Academic and Professional. [10] Sekar, S. and Mariappan, S. 2007. Usage of traditional fermented products by Indian rural folks and IPR. Indian Journal of Traditional Knowledge 6 (1): 111120. [11] Sharma, A. and Kapoor, A.C. 1996. Level of antinutritional factors in pearl millet as affected by processing treatments and various types of fermentation. Plant Foods for Human Nutrition 49: 241-252. [12] Soni, S. K., Sandhu, D. K. (1990). Indian fermented foods: microbiological  and biochemical aspects. Indian Journal of Microbiology,  30, 135–157. [13] Srivastava, R.P. Kumar, S(2002). Fruit and Vegetable Preservation.CBS Publishers and Distributors Pvt. Ltd, New Delhi, pp-81-82. [14] Stanbury, P.F. 1999. Fermentation Technology. In Stanbury, P. F., A. Whitaker, and S. J. Hal (Eds), Principles of Fermentation Technology, 2nd Edition, p 1-24. UK: Butterworth Heinemann, Oxford. [15] Steinkraus, K. H. (1998). Bio-enrichment: production of vitamins in  fermented foods. In J. B. Wood (Ed.), Microbiology of fermented  foods (pp. 603–619). London: Blackie Academic and Professional.

Importance of Understanding, Compassion and Empathy in Patient Care Ess

Lying in a hospital bed feeling, sick, scared and helpless, the only comforting thought is supposed to be knowing that when you need something, a nurse is there to help you. You ring the call bell for assistance in going to the restroom and no one comes. You ring the bell again, and still no one comes. You ring it for the third time and a voice comes over the speaker, "I will be back in a few minutes, I have some things I have to finish up". You need to get out of bed right now, and you can’t do it alone. Now, on top of everything else, you’re feeling alone and frustrated. If someone doesn’t appear soon you will have to deal with embarrassment and shame. On top of being sick, look how many other things a patient may have to go through just because of something as simple as no one coming when the call bell is rung. A nurse’s job is not just medical. A good nurse must be empathetic and aware of the patient’s feelings and needs. Empathy is making sure the patient receives comfort, compassion, sensitivity, solace and understanding, qualities that are essential for any doctor, nurse, or caregiver. For patients, a lack of empathy from a physician or nurse can easily be interpreted as its antonym: hostility (Comor, 1997). Patients are human beings and need to be treated as such. It’s terrible to say, but in our society today, it is much too common to hear horror stories of people in a hospital who are treated more like a number or a diagnosis than a human being. I chose to discuss the nurse’s role because in reality he or she normally spends the most time with the patient. It isn’t always the nurse who should uphold these standards of empathy. I just recently had an experience with my mother in which it was not the nurse who needed t... ...kly or maybe not even at all. I know time is an important issue in our society and a lot of us don’t have any, but we need to step back and remember that we are all human and need to be treated as such. It may just save someone’s life. References Baier, Sue & Shomaker, Mary Zimmeth (1995). Bed Number Ten. New York: CRC Press. Chaisson, Jean (1999). Nursing stories journalists fail to cover. Neiman Reports, 53(3), p.55. Comor, H (1997). A question of care. CMAJ, 156(4), pp.541-544. Lindergren, Maryclaire & Key, Sandra W. (1999, August). Nursing support inflluences outcomes for Oxytocin patents. Women’s Health Weekly, p4. Lindergren, Maryclaire & Key, Sandra W. (1999, May). Doula support reduces complications and shortens labor. Women’s Health Weekly, p12. Gastmans, C. (1999). Care as a moral attitude in nursing. Nursing Ethics, 6(3), pp. 214-223. Importance of Understanding, Compassion and Empathy in Patient Care Ess Lying in a hospital bed feeling, sick, scared and helpless, the only comforting thought is supposed to be knowing that when you need something, a nurse is there to help you. You ring the call bell for assistance in going to the restroom and no one comes. You ring the bell again, and still no one comes. You ring it for the third time and a voice comes over the speaker, "I will be back in a few minutes, I have some things I have to finish up". You need to get out of bed right now, and you can’t do it alone. Now, on top of everything else, you’re feeling alone and frustrated. If someone doesn’t appear soon you will have to deal with embarrassment and shame. On top of being sick, look how many other things a patient may have to go through just because of something as simple as no one coming when the call bell is rung. A nurse’s job is not just medical. A good nurse must be empathetic and aware of the patient’s feelings and needs. Empathy is making sure the patient receives comfort, compassion, sensitivity, solace and understanding, qualities that are essential for any doctor, nurse, or caregiver. For patients, a lack of empathy from a physician or nurse can easily be interpreted as its antonym: hostility (Comor, 1997). Patients are human beings and need to be treated as such. It’s terrible to say, but in our society today, it is much too common to hear horror stories of people in a hospital who are treated more like a number or a diagnosis than a human being. I chose to discuss the nurse’s role because in reality he or she normally spends the most time with the patient. It isn’t always the nurse who should uphold these standards of empathy. I just recently had an experience with my mother in which it was not the nurse who needed t... ...kly or maybe not even at all. I know time is an important issue in our society and a lot of us don’t have any, but we need to step back and remember that we are all human and need to be treated as such. It may just save someone’s life. References Baier, Sue & Shomaker, Mary Zimmeth (1995). Bed Number Ten. New York: CRC Press. Chaisson, Jean (1999). Nursing stories journalists fail to cover. Neiman Reports, 53(3), p.55. Comor, H (1997). A question of care. CMAJ, 156(4), pp.541-544. Lindergren, Maryclaire & Key, Sandra W. (1999, August). Nursing support inflluences outcomes for Oxytocin patents. Women’s Health Weekly, p4. Lindergren, Maryclaire & Key, Sandra W. (1999, May). Doula support reduces complications and shortens labor. Women’s Health Weekly, p12. Gastmans, C. (1999). Care as a moral attitude in nursing. Nursing Ethics, 6(3), pp. 214-223.

Patriotism and The American Flag Essay -- essays research papers

There is much controversy surrounding the idea of patriotism and the iconography of the American flag in today’s society. Some believe patriotism is simply the act of supporting the decisions of the leaders of the country. Others say, to be patriotic, people should be outspoken and voice their oppositions to what is going on in the government. Opinions also differ on the idea of what the American flag represents. One opinion of the flags representation is that the flag represents our history, and the formerly mentioned idea of patriotism. Others believe the flag also represents our history as a nation, but these beliefs focus much more heavily on the negative aspects of our history; such as slavery and other injustices carried out by our nation. These people often believe we should find a new iconography for our country’s ideas of patriotism. As Barbara Kingsolver states in â€Å"And Our Flag Was Still There,† â€Å"Patriotism seems to be falling to whoever cla ims it loudest, and we’re left struggling to find a definition in a clamor of reaction† (Pg. 1). Therefore, every American’s duty is to define patriotism amongst the clamor of reaction, recapture the American flag’s representation, and create a new icon for the flag.   Ã‚  Ã‚  Ã‚  Ã‚  In times of war, such as these, the importance for everyone to know where they stand on the idea of patriotism so they can voice or enact their opinion to the government and the people around them in a more clear and fair fashion is multiplied. The idea of patriotism can often be an obscure one, and during times of heightened security patriotism is a more spoken upon subject. Discussing the many different views of what patriotism means is a key step in better defining patriotism for all people. Barbara Kingsolver says in her article, â€Å"My patriotic duty is to recapture my flag from the men now waving it in the name of jingoism and censorship† (Pg. 2). What she means by this is that the idea of patriotism is being morphed into something it is not. She believes patriotism should encourage free speech and criticism of our leaders in times of difficult decisions. Instead, what is happening is patriotism is suggesting more fascist ideals than democratic idea ls. Barbara believes her duty is to recapture the true meaning of patriotism and let everyone know what that meaning is. She wants everyone to feel open towards voicing t... ...ed to the Red Cross, the stars of film, theater and music who are using their influences to raise money for recovery, and the small hands of schoolchildren collecting anything they think might help the kids who’ve lost their moms or dads (Pg. 2). Although some of these suggestions are not tangible items, they definitely give me a sense of patriotism, and make me feel good about what is going on in our country today. These people and objects truly, in my opinion, represent patriotism. If we were somehow able to take these objects and ideas and put them into an icon of patriotism I know I would solute it, but until then, I will keep these peoples actions in my mind as what I believe to be true patriotism.   Ã‚  Ã‚  Ã‚  Ã‚  The exploration of what patriotism is and what represents patriotism is an important one more people should embark upon. If Americans are to examine patriotisms true meaning, we will be able to abolish this faux patriotism, which is represented by intimidation, censorship, and majority rules attitudes or actions. This can be replaced by feelings and actions of caring, compassion, acceptance, rationality, and nonviolence, or in other words, patriotism.

Fluid Mechanics Lab

EN 1029 Laboratory Laboratory FM Declaration: In submitting this report, I hereby declare that, except where I have made clear and full reference to the work of others, this submission, and all the material (e. g. text, pictures, diagrams) contained in it, is my own work, has not previously been submitted for assessment, and I have not knowingly allowed it to be copied by another student. In the case of group projects, the contribution of group members has been appropriately quantified. I understand that deceiving, or attempting to deceive, examiners by passing off the work of another as my own is plagiarism.I also understand that plagiarising another's work, or knowingly allowing another student to plagiarise from my work, is against University Regulations and that doing so will result in loss of marks and disciplinary proceedings. I understand and agree that the University’s plagiarism software ‘Turnitin’ may be used to check the originality of the submitted cou rsework. Contents 1. Introduction 2. Theory 2. 1 Impact of a Water Jet 2. 2 Flow Through a Venturi Meter 3. Experimental procedures and results 3. 1 Experimental procedure – Impact of a Water Jet 3. Experimental procedure – Flow through a Venturi Meter 3. 3 Results– Impact of a Water Jet 3. 4 Results– Flow through a Venturi meter 4. Discussion 4. 1 Impact of a water jet 4. 2 Venturi meter 5. Conclusion 6. References Appendices Abstract Rate of flow was measured in two different experiments, Impact of a water jet and flow through a Venturi meter. The main objective was to calculate the change in momentum and energy loss in flow which was put under pressure. The experiment showed that results obtained can significantly defer from the theory if energy losses are not neglected. 1.Introduction Water is the most commonly used resource of renewable energy. In 21st century, hydropower is used in more than 150 countries around the world. It is also the most effici ent method of producing energy with 90% efficiency output. Impact of a Water Jet is used to show how mechanical work can be created from water flow. When a fluid is put under pressure, the pressure gives it high velocity in a jet. Jet strikes the vanes of the turbine wheel. This wheel then rotates under the impulse created by the water jet hitting the vanes. Venturi meter is used to measure discharge along a pipe.In this experiment, when pressure is dropped, there is an increase in velocity. Pressure magnitude is dependent on rate of flow, so by measuring the pressure drop, discharge can be calculated. Main objective of both experiments is to calculate rate of flow under pressure. 2. Theory 2. 1 Impact of a Water Jet From impulse-momentum change equation it can be assumed that force is generated due to the change in momentum of the water. In other words, force equals the difference between the initial and final momentum flow. Arrangement of jet impact apparatus used is given in Figu re 1 Figure 1Jet impinging on a vane is shown in Figure 2. Control volume V is used, bounded by a control surface S. The entering velocity is u1 (m/s) and it’s in the x –direction. The vane deflects water jet and the leaving velocity is u2 inclined at an angle ? 2 to the x – direction. Pressure over the surface of the jet, apart from the part where it flows over the surface of the vane is atmospheric. The change in direction is due to force generated by pressure and shear stress at the vane’s surface. The mass flow rate is . Mass flow rate is the mass of substance which passes through a given surface per unit time [kg/s].Experiment was done for flat and hemispherical vane. Figure 2 Force on the het in the direction x is FJ (N), then momentum equation in the s- direction is FJ =(u2 cos ? 2 – u1) (1) From Newton's Action- Reaction law, force F on the vane is equal and opposite to Fj F =(u1 – u2 cos ? 2 ) (2) For flat plate ? 2 = 90Â ° so cos ? 2 = 0. Therefore F =u1 (3) For the hemispherical cup, it’s assumed that ? 2 = 180Â ° so cos ? 2 = -1,so F =( u1 + u2 )(4) The effect of change of elevation on jet speed and the loss of speed due to friction over the surface of the vane is neglected.Therefore u1 = u2. So, F=2u1(5) If resistance forces are neglected, this is the maximum possible value of force on the hemispherical cup. Rate at which momentum enters the control volume, or rate of flow of momentum in the jet, is detonated by symbol J. J =u1(6) For the flat plate rate of flow of momentum in the jet is equal to the force on the vane. This is shown in equation (3). F=J(7) For the hemispherical cup, maximum possible value of the force is from equation (5) F=2J (8) If the velocity of the jet is uniform over it’s cross section it can be concluded that =? 1A (9) 2. 2 Flow Through a Venturi Meter Piezometer tubes were bored into a wall and links were made from a each of these to perpendicular manometer tubes, w hich were placed in front of a millimetre scale. Venturi meter is shown in Figure 3 Figure 3 It’s assumed that the fluid used is frictionless and incompressible, fluid flow is steady, and energy equation was derived along a stream line. Bernoulli’s theorem states that u122g+ h1 = u222g+ h2 = un22g+ hn (10) From continuity equation Q=U1A1=U2A2=UnAn(11) here Q is discharge rate( m3/s), and A is cross-sectional area of the pipe(m2) substituting for u1 gives u222ga2a12+ h1 = u222g+h2 (12) Solving equation (3) for u2 gives u2 =2g(h1-h2)1-a2a12 (13) From equation (4) Q=a22g(h1-h2)1-a2a12 (14) In previous equation it was assumed there was no energy loss in the flow and the velocity was constant. In reality, there is some energy loss and velocity is not uniform. Equation (5) is therefore corrected to Q=Ca22g(h1-h2)1-a2a12(15) Where C is the coefficient of the meter.Its value usually lies in within range 0. 92 to 0. 99. Ideal pressure distribution is given in equation (7) hn-h1 u222g=a2a12-a2an2 (16) 3. Experimental procedures and results 3. 1 Experimental procedure – Impact of a Water Jet The apparatus shown in Figure 1 was levelled and lever was balanced, with jockey weight at zero setting. Weight of the jockey was measured. Diameter of the nozzle, height of the vane above the nozzle and the distance from the pivot of the lever to the centre of the vane were recorder. Water was then released through the supply valve and flow rate increased to maximum.The force on the vane displaces the lever, which is then restored to its balanced position by sliding the jockey weight along the lever. The mass flow rate can be established by gathering of water over a timed interval. Additional readings are then taken at number of reducing flow rates. The most efficient way of reducing flow is to place jockey weight precisely at desired position, and then adjust the flow control valve to bring the lever to the balanced position. Range of settings of the jockey posi tion may be separated efficiently into uniform steps. 3. Experimental procedure – Flow through a Venturi Meter The objective of this experiment is to establish the coefficient of the meter C. Bench vale and control vale should be open so water can flow to clear air pockets from the supply system. The control valve is then progressively closed, so the meter is exposed to a steadily increasing pressure. This will cause water to pass up the tubes. When water levels have risen to a suitable height, the bench valve is slowly closed, so that, as both valves are lastly shut of, the meter is left holding static water under adequate pressure.Amounts were then recorded for values of (h1 –h2) and discharge value Q is recorded. The rate of flow is measured by gathering of water in weighing tank, whilst values of h1 and h2 were read from the scale. Similar readings may be taken at a sequence of reducing values of h1 –h2. About 6 readings, proportionately spread in the range of 250 mm to zero. By reading off from all the tubes at any of the settings used, the pressure distribution along the length of the Venturi meter may be logged. 3. 3 Results– Impact of a Water Jet Two sets of readings were taken, one for the flat plate other for the hemispherical plate.Table 1 contains readings for the flat plate and Table 2 results for the hemispherical plate. These tables can be found in Appendix 2. Mass flow is calculated by dividing the Quantity (kg) by Time (s) taken to collect water. Quantity should be converted to m3 where 1 kg water will be 1/1000 m3. e. g. If quantity is 30 kg, time taken is 52. 69 s, mass flow is 0. 569 103 x Q. Using the equation (9), u1 can be calculated. From uo2 = u12 – 2gs , uo can be deduced. For flat plate J can be calculated using equation (6). F is calculated from F X 150 = W x yData from Table 1 and 2 are plotted on a graph to give a comparison between forces and rate of momentum flow of the impact. Graph is present ed in Figure 4. Additional information are given in Apendex 2 Figure 4 (Series 1-flat plate, Series 2- hemispherical plate) 3. 4 Results– Flow through a Venturi meter Two sets of data were compared. Values shown in Table 4 are measurements of h1 and h2 at different discharges. In this part of the experiment C is assumed to be constant over a range of measurement. Closer inspection of Table 4 shows C is not constant as Q varies.Piezometer measurements are recorded in Table 5 and compared with ideal pressure distribution given In Table 3. Figure 5 Graph shown in Figure 5 gives variation of (h1 -h2)1/2 With Q. Equation of the graph line is y= 0. 581 x h1-h2=0. 581 x Qx 103 Q =5. 81 x 10-4h1-h2 (16) Substitute (16) in equation (15) to get a value of C. C= 0. 604 Figure 6 shows both ideal and set of results obtained in the experiment. Series 1 shows ideal pressure distribution, and series2 shows obtained results. Figure 6 4. Discussion 4. 1 Impact of a water jet Theory compares we ll with the experiment considering that the two lines have different gradients.In theory, gradients of lines are significantly steeper, and this might be because an error in the experiment occurred. Likely errors that might have occurred are measurements of mass of jockey weight; distance L from centre of vane to pivot of lever or diameter of water jet emerging from nozzle. If Mass of jockey was wrongly logged by 0. 001kg, Force on the vane would have 2% error. The graph that was obtained shows force on the hemisphere us less than twice the flat plate. This can be concluded from the line gradient. This implication is supported by the theory.In theory, no friction losses or any other kind of energy losses were included in equations. In the actual experiment, there were some energy losses like friction over the surface of the vane and effect of change of elevation on jet speed. It was assumed that velocity of the jet was uniform over its cross section, which would imply ideal flow. It ’s likely that this was not the case, and momentum gained by the change in velocity. 4. 2 Venturi meter Value of C determined in table A is higher than it theoretically should be. This is probably due errors that occurred in the experiment, like parallax rror. Air in pipes could have also caused an error in the experiment. Value of C obtained from Figure 5 gives a more realistic value of 0. 604. The difference between the ideal pressure results and values recorded in the experiment is acceptable considering the coefficient of the meter C that is not included in ideal pressure distribution. Flow of 1x 10-3 m3/s is expected to lie on a negative hn-h1u222g value. 5. Conclusion From both experiments it can be concluded that the flow was not ideal and there were significant energy losses that differ obtained results from theoretical results.In the impact of a water jet experiment it was proven that force on a flat plate is less than the force on the hemispherical plate. Therefore change in momentum flow was smaller. In the Venturi meter experiment it was shown that ideal pressure distribution differs from obtained results because energy losses effect the results. The errors in both experiments can affect the results significantly an lead to wrong assumptions. References Fluid Mechanics, Third Edition? JF Douglas, JM Gasiorek, JA Swafield? Longman Mechanics of Fluids? BS Massey, Van Nostrant Reinhold? Chapman & HallAppendix 1-Nomenclature Symbol| Quantity| SI units| F| Force| N| J| Rate of flow of momentum| N| u| velocity| m/s| | Mass flow rate| Kg/s| D| Diameter| m| h| height| m| A| Cross-section area| m2| ?| Angle of elevation| degrees| ?| density| Kg/m3| Appendix 2-Raw data Impact of a water jet Diameter of nozzleD= 10. 0 mm Cross sectional area of nozzle A =? D24=7. 85 x 10-5 m2 Height of vane above nozzle tips= 35 mm = 0. 035 m Distance from centre of vane to pivot of leverL= 150 mm Mass of jockey weightM= 0. 600 kg Weight of jockey weightW =Mg = 0. 600 x9. 81 =5. 89 NQuantity (kg)| T(s)| y(mm)| 103 x Q(m3/s)| U1(m/s)| U0(m/s)| J(N)| F(N)| 30| 52. 69| 65| 0. 569| 7. 25| 7. 20| 4. 13| 2. 55| 30| 57. 81| 55| 0. 519| 6. 61| 6. 56| 3. 43| 2. 16| 30| 61. 28| 45| 0. 490| 6. 24| 6. 18| 3. 06| 1. 77| 15| 22. 76| 35| 0. 659| 8. 40| 8. 36| 5. 54| 1. 37| 15| 28. 12| 25| 0. 533| 6. 80| 6. 75| 3. 62| 0. 98| 15| 37. 09| 15| 0. 404| 5. 15| 5. 08| 2. 08| 0. 59| 15| 75. 09| 5| 0. 200| 2. 54| 2. 40| 0. 51| 0. 196| Table 1 Quantity(kg)| T(s)| y(mm)| 103 x Q(m3/s)| U1(m/s)| U0(m/s)| J(N)| F(N)| 30| 52. 87| 120| 0. 567| 7. 23| 7. 18| 8. 24| 4. 71| 30| 56. 8| 105| 0. 527| 6. 72| 6. 67| 7. 08| 4. 12| 30| 60. 78| 90| 0. 494| 6. 29| 6. 24| 6. 21| 3. 53| 15| 21. 75| 75| 0. 690| 8. 79| 875| 6. 07| 2. 94| 15| 24. 60| 60| 0. 610| 7. 77| 7. 73| 9. 48| 2. 35| 15| 28. 32| 45| 0. 530| 6. 75| 6. 70| 7. 16| 1. 77| 15| 37. 32| 30| 0. 402| 5. 12| 5. 05| 4. 12| 1. 18| Table 2 Venturi Meter Piezometer Tube No. N| Diameter of cross-section(mm)| Areaa(m2)| | | | A(1)BCD(2 )EFGHJKL| 26. 0023. 2018. 4016. 0016. 8018. 4720. 1621. 8423. 5325. 2426. 00| 0. 0005310. 0004230. 0002660. 0002010. 0002220. 0002680. 0003190. 0003750. 0004350. 00050. 000531| 0. 150. 6900. 8701. 0000. 9520. 8660. 7940. 7330. 6800. 6340. 615| 0. 1430. 2260. 5721. 0000. 8230. 5630. 3970. 2880. 2140. 1610. 143| 0. 000-0. 083-0. 428-0. 857-0. 679-0. 420-0. 253-0. 145-0. 070-0. 0180. 000| Table 3 Quantity (kg)| T(s)| h1(mm)| h2(mm)| 103 x Q(m3/s)| (h1- h2)(mm)| (h1 -h2)1/2(mm)1/2| C| 12| 17. 67| 346| 20| 0. 679| 0. 326| 0. 571| 1. 236| 12| 17. 53| 346| 20| 0. 685| 0. 326| 0. 571| 1. 248| 12| 17. 60| 346| 20| 0. 682| 0. 326| 0. 571| 1. 242| 12| 20. 69| 330| 84| 0. 580| 0. 246| 0. 496| 1. 216| 12| 18. 40| 330| 84| 0. 652| 0. 246| 0. 496| 1. 367| 12| 19. 5| 330| 85| 0. 616| 0. 246| 0. 496| 1. 212| 12| 21. 36| 324| 114| 0. 562| 0. 210| 0. 458| 1. 275| 12| 20. 90| 324| 114| 0. 574| 0. 210| 0. 458| 1. 303| 12| 21. 13| 324| 114| 0. 568| 0. 210| 0. 458| 1. 289| 12| 20. 00| 336| 58| 0. 600| 0. 278| 0. 527| 1. 183| 12| 18. 31| 336| 58| 0. 655| 0. 278| 0. 527| 1. 292| 12| 19. 16| 336| 58| 0. 628| 0. 278| 0. 527| 1. 239| 6| 12. 23| 310| 176| 0. 491| 0. 134| 0. 366| 1. 395| 6| 12. 32| 310| 176| 0. 487| 0. 134| 0. 366| 1. 342| 6| 12. 28| 310| 176| 0. 489| 0. 134| 0. 366| 1. 389| 6| 17. 11| 298| 224| 0. 351| 0. 074| 0. 272| 1. 342| 6| 18. 5| 298| 224| 0. 317| 0. 074| 0. 272| 1. 212| 6| 18. 03| 298| 224| 0. 334| 0. 074| 0. 272| 1. 277| 6| 0| 296| 296| 0| 0| 0| 0| 6| 0| 296| 296| 0| 0| 0| 0| 6| 0| 296| 296| 0| 0| 0| 0| Table 4 Piezometer Tube No. | Q=0. 682 x 10-3u222g – 0. 587 m| | hn(mm)| hn – h1(m)| hn-h1u222g| A(1)| 346| 0. 000| 0| B| 328| -0. 018| -0. 0307| C| 202| -0. 144| -0. 245| D(2)| 20| -0. 326| -0. 555| E| 52| -0. 294| -0. 501| F| 142| -0. 204| -0. 348| G| 190| -0. 156| -0. 266| H| 224| -0. 122| -0. 208| J| 246| -0. 100| -0. 170| K| 264| -0. 082| -0. 140| L| 268| -0. 078| -0. 133| Table 5 Appendix C