Thursday, August 16, 2018

Bernouli


EXPERIMENT
BERNOULII SET-UP

 1.  OBJECTIVE
To verify experimentally the validity of Bernoulli’s equation for fluid flow.

 2. INTRODUCTION 
Bernoulli’s Principle is a physical principle formulated that states ‘as the speed of moving fluid (liquid or gas) increases, the pressure within the fluid decreases Bernoulli’s Principles is named after the Swiss scientist Daniel Bernoulli .Bernoulli’s Principle is demonstrated by the Bernoulli Equation .It is relation between pressure, velocity and elevation Bernoulli’s Law can be explained in terms of the law of conservation of energy. The converging diverging nozzle is used to show the validity of Bernoulli’s Equation.

Kinetic energy +potential energy+ flow energy =constant

Assumptions made in deriving the Bernoulli’s equation are-
1. Fluid is incompressible (density ρ, is constant)

Then it is expressed with the following equation-

Where the SI units
ρ =density of the flowing fluid in ‘kg/m’
g=acceleration due to gravity in ‘m/s2’
v=mean velocity of the fluid flow at the cross section in ‘m/s’
z=elevation head of the center of the cross section with respect to a datum z=0
h= total (stagnation)  head in m
3. PROCEDURE-
1. Check if the drain wall is open and keep it wide open and check whether the outlet pipe goes to the drain. Initiate the flow through the venture test section by opening the inlet valve.
2. Check all the manometer tubing are properly connected to the corresponding pressure tap and our air bubble free. If needed flush the air bubbles by slowly closing the exit valve.
3. Adjust the both inlet and outlet valve so that you get the maximum difference in level between the tapping point #7 and #8.
4. Wait for some time for the level in manometer tube to stabilize (it takes sometime steady state to reach).
5. After the steady state is achieved, redirect the water outlet loose into a container whose capacity is known (10 Lt for example) and record the time taken for the water to fill it up.
6. Gently push the tube connected to the manometer so that is end reaches the cross section of the venturi tube for, example, Wait for some time to note the down the readings from the manometer. The reading shown by the manometer is the sum of the velocity and pressure head that is total head because the Pitot tube is held against the flow of the fluid forcing it to stop. The reading in the manometer measures just the pressure head because it is connected to the venturi tube pressure tap which does not obstruct the flow thus measuring the flow of the static flow.
7. Repeat step 6 for the other cross section (3,5,7 for example)