Question

give me the derivation of bernoullis theorem:

Answer 1

Heya mate
The answer of ur question is here



Consider a streamline flow of ideal liquid across a pipe AB as shown in figure....

For an ideal liquid = constant

= 0

a1, a2 be the area of cross section at A and B

v1, v2 be the volume of liquid at A and B.

P1, p2 the pressure of liquid at A and B.

= density of liquid.

If m is mass entering per sec.

Then;

a1v1 = a2v2 = m

a1v1 = a2v2 = = v

F = P1a1

W1 = P1 a1 v1 = P1 V [Work done per pressure at A]

W2 = P2 a2 v2 = P2 V [Work done per pressure at B]

Net work done = P1 V - P2 V

Kinetic Energy at A = m

Kinetic Energy at B = m

Potential Energy at A = mg

Potential Energy at B = mg

According to work energy principle...




♢♢♢ See the attachment





Hope it helps you

Answer 2

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Refer to attachment