FLUID MECHANICS LAB - BERNOULLI’S THEOREM APPARATUS

  APPARATUS FOR VERIFICATION OF BERNOULLI’S THEOREM

       

EXPERIMENTAL SET-UP

THEORY

Considering friction less flow along a variable area duct, the law of conservation of energy states “for an inviscid, incompressible, irrotational and steady flow along a stream line the total energy (or head) remains the same”. This is called Bernoulli’s equation

The total head of flowing fluid consists of pressure head, velocity head and elevation head. Hence

                                    

Where, P, V, and Z refer to the pressure, velocity and position of the liquid relative to some                      datum at any section.

Tube No.	Distance from inlet section (cm)	Area of c/s of conduit A (cm2)	Velocity of flow (cm/sec) V= (Q/A) cm/sec	V2/2g (cm)	(cm)	(cm)
1	7.5	14.67
2	15.0	13.33
3	22.5	12.0
4	30.0	10.67
5	37.5	9.33
6	45.0	8.0
7	52.5	9.33
8	60.0	10.67
9	67.5	12.0
10	75.0	13.33
11	82.5	14.67

  RESULTS AND DISCUSSIONS:

 

1.         If V is the velocity of flow at a particular section of the duct and Q is the discharge, then by continuity equation:

         
2.         Calculate velocity head and total head.

3.         Plot piezometric head (P/w + Z), velocity head (V²/ 2g), total head (P/w + Z+ V²/2g) v/s distance of piezometer tubes from same reference point.