Experiment to Investigate the Validation of Bernoulli’s Equation

TITLE Bernoullis Principle OBJECTIVE try outis maketo check outthevalidationofthe Bernoullisequation and also to measure draw distribution along venture furnish. INTRODUCTION This test is carried out to investigate the validity ofBernoullis theorem when applied to the steady flow of water supply in tapered duct and to measure the flow points and both still and total crush heads in a rigid convergent/ divergent tube of known geometry for a range ofsteady flow rates.The Bernoullis theorem (Bernoullis theorem, 2011) relates the pressure, velocity, and elevation in a moving fluid (liquid or gas), the compressibility and viscosity of which ar negligible and the flow of which is steady, or laminar. In order to demonstrate the Bernoullis theorem Bernoullis Apparatus Test Equipment issued in this experiment. THEORY Velocity of fluid is less fluid The fluid is incompressible and non- viscous There is no heat energy transferred across the boundaries of the subway to the fluid as either a heat gain or loss. There are no pumps in the section of pipe For an nonpareil fluid flow the energy density is the same at each(prenominal) locations along the pipe. This is the same as saying that the energy of a unit of measurement mass of the fluid does not change as it flow by the pipe system. APPARATUS EXPERIMENTAL PROCEDURE 1, A inspection was through with(p) to ensure that the unit was in proper operating condition, so that the experiment will not consist of errors. 2, A hose had to be affiliated to the nearest power supply. 3, The discharged pipe was then undetermined. , The cap pull together of the probe compression gland was set to such condition, that the slight subway could be felt on moving the probe, and the water flow created a sound which also helps to determine the flow pressure (by hearing it ). 5, The gate and outlet valve was then opened. 6, Then the pump was switched on and the main slam was released slowly opened. 7, The vent valve on water p ressure veiling was opened and outlet cock was closed with great care until pressure gauze was flushed. , By simultaneously setting the inlet and outlet cock, the water direct pressure gauze was regulated, so that neither upper or the impose range limit was overshot or undershot. 9, Pressure at alone point were measured and recorded. The over every last(predicate) pressure probe was moved to interchangeable measurement level and the overall pressure was noted down. 10, The volumetric pressure flow was determined, by using stopwatch to established time needed to raise the water level in the volumetric tank from 3to 7 liters. RESULTS FLOW RATES (L/s) FLOW VELOCITY AT DIFFERENT bar POINTS (10-3 m/s) 1 2 3 4 5 6 0. 137 2. 16 3. 45 8. 0 5. 91 2. 98 2. 16 0. 122 I. 93 3. 07 7. 92 5. 26 2. 65 1. 93 0. 094 1. 48 2. 37 6. 10 4. 05 2. 04 1. 48 0. 114 1. 80 2. 87 7. 40 4. 91 2. 48 1. 80 0. 116 1. 83 2. 92 7. 53 5. 00 2. 52 1. 83 VOLUME(L) TIME(s) FLOW RATES(L/s) 3 21. 90 0. 137 4 32. 7 8 0. 122 5 53. 19 0. 094 6 52. 85 0. 114 7 101. 50 0. 116 POINT (I) Di(mm) A(10-4 m2) 1 284 633 2 225 397 3 one hundred forty 154 4 172 232 5 242 460 6 284 633 GRAPH DISCUSSION it is known that water is a fluid and all fluids have the properties to take shape of the container or wherever they are stored or flow through.Since the fluid cosses through a given path for duration of time there have to be a pressure lose due to the path design or distance or width. Bernoullis principle states that if the rate of flow of the fluid is high the pressure will be low and if the slower rate of flow the fluid exerts more quickly (with pressure). CONCLUSION From the experiment it is make that the difference between the experimental and the calculated value are to high, this could take a chance due to such factors 1, the reading was not taken accurately or either not taken to the very decimal point or perhaps parallel eye reading. , Bubbles those were trapped on the top of the tube and could no t have been released or seen. 3, The recording the data time baron not be accurate. 4, The internal resistance of the water , those were not taken into account during the calculation. 5, The pressure at each manometer tube might not be stable before reading was taken due to in accurate air flow or pressure flow. All the factors mentioned higher up could play a great role in effecting the results. There are many ways to improve reading one way ass be repeating the experiment multiple times and get the average.Considering all factors and the comparison between data collected via multiple values the experiment is successful, and it proves Bernoullis principle of fluid motion pressure. REFERENCES 1, http//camillasenior. homestead. com/Activities_Showing_Bernoulli_s_Principle. pdf 2, http//hyperphysics. phy-astr. gsu. edu/hbase/pber. html 3, http//www. princeton. edu/asmits/Bicycle_web/Bernoulli. html 4, http//mitchellscience. com/bernoulli_principle_animation 5, http//www. scribd. co m/ physician/68038037/Experiment-Bernoulli