Energy Losses in Pipes

Energy Losses in Pipes ABSTRACT The objective of this lab is to associate the loss of energy in a hydraulic system with the geometry of the pipe, that contains the fluid, while it is being transported from one location to another. Special considerations were given to major and minor energy losses. Friction was taken and treated as a major loss with respect to energy, while other factors such as expansions, contractions, pipe bends, pipe fittings and obstructions were considered as minor energy losses. The design of any hydraulic systems is governed by the understanding of these relations, and this experiment is carried out with the intention proving that there is a loss of energy specifically related to these factors. [4] The DMXL Base Unit  ® in accordance with the DLM-6  ® cartridge were used to perform the experiment, using water as the medium of choice. The cartridges pressure transducers recorded the pressure differences at three locations of interest. The locations included a straight pipe secti on, a smooth 90 ° bend, and a sharp 90 ° right angle turn. For proper comparison, these results were all at the same length, of 70 mm. A total of 20 data points were tabulated, and used to calculate the loss of energy coefficients and head loss, for of all three sections. The results showed that there was a greater loss of energy with the sharp 90 ° right angle, followed by the smooth 90 ° bend and finally, the straight section had the least amount of energy loss. According to the principles of fluid mechanics, the assumption is that the highest loss of energy would correspond to the sharp 90 ° right angle bend. The results reinforced that assumption. INTRODUCTION In almost all hydraulic systems, it can be observed that there are energy losses with respect to friction and geometrical changes. The friction loss in pipes is due to the influence of the fluids viscosity near the surface of the surrounding pipe. The energy losses due to pressure changes can be seen in every part of a hydraulic system due to the expansions, contractions, bends in pipes, pipe fittings, and obstructions in the pipes. [2] This loss of energy is then transferred as heat. Frictional losses in pipework are related to: Velocity of flow Roughness of pipe surface Length of pipe Cross-sectional area of pipe Viscosity of fluid Number of pipe bends The complete acceptable pressure drop of the hydraulic system must be picked with care, as the power loss is a result of the pressure drop and system flow rate. There is an efficiency loss that must be adjusted for the cost of bigger fittings and hoses and pipework. The energy of no use is disseminated as heat energy in oil, which may prompt to cooling issues and condensing of the oil life. [1] Pressure losses in pipework will rely on the fluid flow condition. There are three particular fluid flow conditions: Laminar Flow Turbulent Flow Transition Flow As it can be seen in Figure 1, Laminar stream is the condition when the liquid particles travel easily in straight lines, the internal most liquid layer goes at the most elevated speed and the external most layer at the pipe surface doesnt move. [2] Figure 1. Laminar Flow [2] Turbulent flow has unusual and disorderly liquid molecule movements, to such an extent that a comprehensive blending of the fluid happens, as appeared in Figure 2. A turbulent flow is generally not attractive, as the flow resistance increments and in this way the hydraulic losses increment. [3] Figure 2. Turbulent Flow [3] As shown in Figure 3, with turbulence in the focal point of the pipe, and laminar flow close to the edges, the transactional flow can be seen that it is a blend of the turbulent and laminar flow. [2] Figure 3. Transitional Flow [2] Inside a pipe system, there are two sorts of losses. The first is a Major Loss and comprises of the head losses because of viscous impacts in straight fragments of pipe in the system. [5] Which is referred to as h_(L major) and the equation follows as: (1) The second sort is a Minor Loss and is a form of losses produced inside segments of the pipe system other than the straight pipes themselves. [5] Which is referred to as h_ (L minor) and the equation follows as: (2) The equation for head loss at a sudden expansion can be written as: (3) And expression for the head loss at a sudden contraction is as: (4) The head loss due to a bend can be shown by the expression as: (5) METHODOLOGY Equipment and Materials List: For the experiment, we used the Energy Losses in Hydraulic Systems cartridge on DLMX Base Unit  ®. The DLMX is a teaching equipment that can be presented as one of the absolute best designed educating device that is utilized to teach students from various different subjects like Fluid Mechanics and Heat Transfer. The equipment includes a small battery operated, base unit, into which has one of the seven different cartridges is plugged. [3] The base unit contains: Viewing panel Water reservoir Pump Controls Experimental Apparatus: According to the General Operating Instructions from the provided lab manual, the DLM-6 cartridge (Energy Losses in Hydraulic Systems)  ® was installed as shown below in Figure 4, with a filled Base Unit and powered on. The flow rate was adjusted using the knob on the Base Unit. The flow rate and corresponding differential pressure readings across the straight pipe, smooth bend and sharp bend sections appeared on the output screen. Figure 4. DLM-6 cartridge (Energy Losses in Hydraulic Systems) [3] The cartridges have the particular instrumentation required for the specific demonstration and contain an experimental representation of the topic. The base unit involves a round, clear acrylic water reservoir, mounted on a powerful vacuum shaped ABS plastic plinth, shown below in Figure (#). Under the plinth is a pump with a variable speed control, battery, flow meter, the electrical control hardware, and level sensor [6]. Figure (5) Energy Losses in Hydraulic Systems cartridge on DLMX Base Unit [3] Experimental Procedure: To commensurate our lab, we referred to Filling Pressure Transducer Tubes section as we powered on the machine. We then installed the DLM-6 cartridge (Energy Losses in Hydraulic Systems)  ® into the Base Unit filled with water and ensured that all pressure readings are at zero flow rate. We can read the flow rate and pressure drop at that moment is given if we scrolled down on the display on the machine. Next, we checked for the possible maximum flow rate. From there we were able to get an estimate of the increment differences needed for each reading. The flow rate was set to ~ 1 L/min and increased in approximately equal increments until the maximum flow rate was achieved. And then the pressure drop was obtained and recorded. Steps were repeated until Experimental DLMX  ® data table is completed. RESULTS Table 1 shows the data points recorded from different runs of fluid flowing through ΆP Straight, ΆP Smooth, and ΆP RA Bend. Table 1. Data points recorded from the experiment. Dimension Constants: Square pipe width = 4 mm Smooth bend radius = 8 mm (to channel center) Distance between pressure taps: Straight section: 70 mm Smooth bend section: 70 mm Sharp bend section: 70 Ç‚RA = right angle bend Velocity: In Table 2, we found the Velocity by using the equation of Flow rate, Area: (area = 0.004*0.004 =0.000016 m2); Q: Flow rate (6) Table 2. Velocity obtained from different runs. Headloss: Head loss for straight, smooth and right angle pipe are shown below in Table 3: We used Pascals Law to calculate the loss coefficient. This can be found by using equation of: HL = (7) Table 3. Head loss for straight, smooth and right angle pipe Loss Coefficient: K smooth =289.30, k RA= 267.48, f Straight= 1.461*10^-4, As we know that hydraulic diameter, (8) (9) therefore, The values below are derived from basic equation of Head loss, HL = {This same equation is used for straight pipes} {This same equation is used for smooth and RA pipes} In the above equations f and K are the loss coefficients. Loss coefficients for straight, smooth and right angle pipes are shown below: Table 4. Loss coefficients of Straight, Smooth, and RA Bend Pipe. DISCUSSION In order to obtain the pressure difference in a circular pipe it is possible to reduce the energy equation as follows. (10) (11) Where, à ¡Ã¢â‚¬ËœÃ‚ ­ = Density of fluid, g = gravity, h = height, P = pressure, V = average velocity, z = elevation and This reduction is applicable when the cross-sectional area as well as the elevation are equal. For circular channels, the head loss due to flow can be obtained using the equation below. (12) Where, f = Stanton friction factor, L = length of circular channel, D = diameter, V = average velocity and g = gravity. In contrast to circular channels, the energy equation can also be used to obtain the pressure difference in noncircular channels as follows. (13) However, in noncircular channels, the head loss due to flow can be obtained using the equation (14) Where, (15) Moreover, the friction factor for non-circular channels is a function of the roughness factor divided by the hydraulic radius and the Reynolds number. (16) For noncircular channels, the Reynolds number is also calculated using the hydraulic diameter as follows. (17) It is possible to measure pressure losses arising from fittings to the piping system using the DLMX fluid mechanics cartridge fitted with differential pressure transducers that connected to pressure taps which registers the difference in pressure related to the flow. The pressure difference can be evaluated using the energy equation that includes major friction losses due to fittings on the piping system as follows. (18) For the cartridge, the energy balance equation begins as follows below. (19) Considering the cartridge as a closed system the energy balance equation reduces as follows below. (20) Physically, represents the pressure losses per unit mass of water in the cartridge. On the other hand, represents the differences in pressure at the three points of interest associated with flow. The hierarchy of pressure difference starting from the least pressure difference to the highest is as follows below. The pressure drop at the right-angled bend can be calculated using from the energy balance equation below. (21) Because there is no change in diameter throughout the length of the bend, no change in elevation, as well as no change in elevation, the energy balance equation reduces to. (22) The loss coefficient is a dimensionless coefficient derived from dividing the head loss by as follows below. (23) Therefore, Finally, to calculate the required pressure losses in the bend the equation above reduces as follows below. (24) At the straight portion of the pipe, the pressure drop equation reduces as follows below. (25) Where f=the friction coefficient, D=diameter of the pipe and L= the length of the pipe. In order to find the length of straight pipe that would be sufficient to generate the same amount of pressure drop at the right-angled bend the pressure drops have to be made equal as follows below. (26) The length of the pipe then reduces to the formula below. (27) It is possible to determine the loss coefficient graphically from the experimental values by creating a graph of the head loss vs dynamic head. (28) Where and = dynamic head, the loss coefficient Figure 6. Head loss vs Dynamic Head CONCLUSION The goals of this lab was to measure the head losses through straight, smooth, and sharp- bend pipe fittings and then use these measurements to estimate the loss of energy coefficients for each transition or fitting. For the experiment, the DML-6  ® cartridge (Energy Losses in Hydraulic Systems) was used with the DLMX Base Unit  ®, using water as the fluid of choice. The flow rate and corresponding differential pressure readings across the straight pipe, smooth bend and sharp bend sections were all recorded. A total of 20 data points were collected. The collected datas were used to calculate the head losses and loss of energy coefficients for all three sections. The results show that the pressure difference in the right-angle bend is higher than smooth bend, and pressure difference in smooth is higher than the straight bend pipes. Also, the average head loss of a right-angle pipe, 1.633, is certainly higher than average head loss of the smooth, 2.144, and straight, 1.63 3. Furthermore, the average loss coefficient of right angle pipe, 16.84078, was also higher than smooth, 10.988725, and straight, 0.13513, pipes. Uncertainty analysis indicate that one possible source of error came from the pressure readings. The pressure readings at the reference point for each component and each flow was some value greater than zero, but the problem with this was that all the reference point readings should have been zero regardless of the set up. The reason for this difference is still unknown, however the doubt is that there was a problem with the machines manometer. The lesson learned with this experiment was the energy losses in pipes due to different fittings. The experiment was quite interesting, yet this hands-on approach lesson will help us succeed in the real engineering world as well. REFERENCES [1] Bruce Roy, Munson, T. H. Okiishi and Donald F. Young. Fundamentals of Fluid Mechanics. Hoboken, NJ: J. Wiley Sons, 2009. [2] Smith, W.F., Turbulent and Laminar Flow in Pipes, with the Particular Reference to the Transition between the Straight, Smooth and Rough Pipe Laws, J. Inst. Civ. Eng. Lond., vol.11, pp. 148-178, 1979-78. [3] DLMX Base Unit and DLM-6 Energy Losses in Hydraulic Systems. (2017, February 28). Retrieved from http://discoverarmfield.com/en/products/view/dlmx/desktop-learning-modules [3] Hibbeler, R. C. 10.2 Losses Occurring from Pipe Fittings and Laminar, Turbulent, and Transitions. Fluid Mechanics. N.p.: Pearson Prentice Hall, 2015. 578-46. Print. [4] Fluid Flow through between Pipes. Pump-House, University of South Carolina, Columbia (2007): n. pag. Web. http://www.cs.cdu.edu.au/home-page/jayitroy/eng477/sect10.pdf pg. 47 [5] Head Loss Coefficients of Major and Minor. Vano Engineering. N.p., 13 Dec. 2014. Web. 20 Jan. 2015. [6] Shukla. S.K., Indian Journal of Applied Research, of various different flow rates, vol. 7, no. 7, pp. 313-377, April. 2015. [7] Donald, James C., M. F. Sherif, and V. P. Kumar. 8.4 Minor and Major Losses in Pipes. Elementary Hydraulics. Mason, OH: Cengage Learning, 2004. 257-78. Print. [8] John Ray, W.F., 1947, Turbulent Flow in Pipes with Particular reference to the Transition Region between the Smooth and Rough Pipe Laws, J. Institution. of Civil Engr Dept., I7, pp 178-167. APPENDIX A We learned how different pipe fittings results in energy losses in pipes. Although it was quite difficult to do all the calculations, plus the presence of uncertainty created a doubt on the result, our team found this lab very interesting. The results were also close to the expected outcome. APPENDIX B Names Tasks Hours Rigoberto Aguilera Maaz Khan Esther Ndichu Trang Pham Prabhjit Singh APPENDIX C It should be noted that when using Bernoullis equation, one must take into consideration the height of a pipe. The data that was used in the calculations was processed without that consideration. The manufacturer of the unit explains that the pressure transducers inside the DLM-6  ® cartridge do not measure hydrostatic pressures between the taps, when the tubes are filled with water. As it can be seen in the image below the device is filled with water, but the water is not in motion. The levels of the manometer tubes are the same, regardless of the vertical setup. With the same concept in mind, it is clear to see that the pressure transducers will also fail to measure any pressure change with respect to gravity.

A Night to Remember - Original Writing :: Papers

A Night to Remember - Original Writing It was the day of the concert. The lively atmosphere around the arena was only beginning, being there early before, I saw the transformation of the what seemed to be spacious hall, into a jam packed stadium, mocked with nothing but up for it Geordies and music lover alike. As the lights sparkled above the stage, the huge amplifiers buzzed, vibrating the seat in which I had suddenly risen from. Announcements through the loud speakers were cropping up every minute, adding to the anxiety, whilst the crowds poured in, creating a carnival like atmosphere, despite still being an hour away form the main performance. Market stall like shops were beginning to unfold around the perimeter of the seated area; hats, shirts, jumpers you name it were being sold to the public with the name 'Stereophonics' sprung across them, mean while the more 'intelligent' of us crammed ourselves down to the front where the party was just starting. By the time fifty five minutes had passed, although it had seemed like days, a small acquainted girl, who when turned around looked at least thirty, noticed smoke effects coming from the ground of the stage as the florescent lights illuminated the entire audience which had now filled almost to the brim shouted "its begun!" Silhouettes of the and member, Stuart Cable and both Stuart and Kelly Jones appeared on the giant screens of paper behind there instruments before bursting through leaving the 'cannibalistic' like crowd roaring and urging forward, pushing against the dim steel rails lined with security guards. As Kelly, the lead guitarist and singer, introduced himself, the drummer, Stuart, Began a huge ear splitting fill, leading to the bands first song 'A Thousand Trees'. After hearing this song on there album I thought it was great, well now it was beyond great. With the atmosphere of the watching crowd and the raucous instrumental music being played before me, the words couldn't stop coming from my mouth, then again, I wasn't alone. As the song came to an en, the

The Manchurian Candidate

Films have always been an outlet for a confused society; with themes of politics, religion, relationship and illness movies are the way the modern world deals with its hardships and examines its own motives and actions.   â€Å"The Manchurian Candidate† is one of the more controversial films in this eye-opening genre, with political themes running strong throughout in such a way as to seemingly point fingers and make strongly opinionated remarks about our current political situation. The 2004 film was remade from an earlier 1962 version, which before taking that format was actually a novel written by Richard Condon in 1959.   Its political premise was originally based on the Cold War; the book and the original film shied away from the usual opinion that it was Communists who were solely misguided and instead portrayed a world where Communists, Capitalists and everybody in between was faulted ideologically.   The people in Condon’s book existed within a conspiratorial net that saw brainwashed operatives of the Communist Party seeking to take office and exploit their position for monetary gains (Gianos 1998). The 2004 version, by contrast, has been quite clearly adapted for the age of the War on Terror, with Communists replaced by the new perceived enemy, corporate giants, in this case â€Å"Manchurian Global†.   It becomes clear as the movie progresses that the main characters have been brainwashed by Manchurian Global to protect and grow the interests of the corporation. One character, under the direct influence of his power hungry mother, seeks election into office, while the other is representative of an entire section of the military in supporting his campaign.   This latter character, Marco, becomes suspicious of his own actions concerning the vice-presidential candidate, Shaw, when he realizes that he and every other military officer who served with his is using the exact same words to describe their support of the man; basically that he is a wonderful man and an excellent soldier who will make the best vice-president. Marco believes he is suffering from a mental illness, and seeks help from the military doctors who are pledged to offer comprehensive care following service in the army.   They seem willing to help until Marco finally refuses the pills they keep giving him.   He claims they don’t work and that he wants something different, however the doctors won’t do anything for him – in fact they are very concerned about his refusal to accept their treatment.   In the end, Marco pieces together the entire story that he has forgotten: while serving together in the army, he and his companions, including Shaw, were brainwashed by Manchurian Global to support the candidacy of Shaw while Shaw himself was groomed to take the vice-presidency. Through the brainwashing, the corporation expected to gain high level contracts and a huge amount of money and power.   It falls to Marco to expose the plot and explain it to Shaw before he gives the company and all the people connected to the plot exactly what they want.   It is a story of corruption in government and the overall will of those in powerful places to exploit whoever is necessary to stay on top and bring in the cash. The reverberations of this film in current American politics is very strong and very controversial.   Political controversy in film is of course not a new thing; Brian Nerve explains that Hollywood has been a refuge for the suspicious world since its earliest days, and that movies like â€Å"The Manchurian Candidate† are not the product of unsound minds but of a lack of transparency throughout the political world (Nerve 1992). This movie in particular has been built upon that ever-present facet of the American public: the conspiracy theory.   Whether it’s a Presidential assassination or a corporate cover-up, Americans want to know every detail and whether or not there are real conspiracies of this magnitude actually occurring is difficult to tell when questions constantly go unanswered and the imagination takes over.   More than anything, Manchurian Global has a startling likeness to American corporations like Halliburton, who have in recent years been harshly chided for their role in global inequality and exploitation in the name of money. The people in league with Manchurian Global are portrayed as basically heartless, inhuman and scandalous; these elements of scandal can always be found in political films according to Gillespie and Lerner (2000).   The producers were well aware of the parallels they were drawing between their characters and the members of America’s present government, and the audience was generally predisposed to believe the worst of its government before seeing such a shocking story of manipulation played out for them onscreen.   They wonder if they are being brainwashed to accept a fabricated reality, or if they are simply not seeing the whole picture. In its entirety, â€Å"The Manchurian Candidate† has questioned the accuracy of media portrayals of events in such a way as the American public truly wanted to see – however the movie was so undeniably outrageous in its plot details that instead of reinforcing the idea that the government is hiding something from the public all it really did was make the audience question their current beliefs concerning conspiracy. Few people are prepared to believe blatant military brainwashing, and this is the major weak point in the film.   â€Å"The Manchurian Candidate† is a movie that sets itself far apart from mainstream entertainment in its political aspects and ideas.   It has drawn an audience mostly intent on getting angry at the state of government and politics, though unfortunately in the end it falls short.   Instead of solidifying current thought patterns or expanding on them, the film merely sparks doubt in the minds of those most willing to believe its plot.   All in all, â€Å"The Manchurian Candidate† is quite unworthy of the hype. Works Cited Gianos, Phillip. Politics and Politicians in American Film. CT: Praeger Publishers, 1998. Nerve, Brian. Film and Politics in America: A Social Tradition. New York: Routledge, 1992. Schultz, David. It's Show Time!: Media, Politics, and Popular Culture. New York: Peter Lang, 2000.      

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