Question

State and prove Bernoulli's principle for the flow of non-viscous fluids .

Answer 1

'In a flow, as the velocity of the liquid increases, the potential energy of the liquid decreases or the pressure at that location decreases.'

Explanation:

Suppose that:

The fluid is incompressible, (although the pressure varies but the density of the fluid is uniform at all points.)

Viscosity is zero, (the friction force due to viscosity is zero).

The permanent state is attained and the flow is irrotational (the velocity, pressure, etc. of the fluid at a given point are unchanged over time), then

In this case, Bernoulli's equation is as follows:

$e_{m} = v^{2}/2 + gh + p/e$

where,

$e_{m}$ = The energy of the unit mass of the liquid

v - The velocity of the liquid at the respective location

g - Gravitational acceleration

h - Relative height of relative location of a reference

p  - Pressure at the relevant location

e = Liquid density

Learn more: Bernoulli's principle

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