Question

Explain how each of the following terms relate to the Bernoulli equation: a. static pressure b. dynamic pressure .stagnation pressure d. total pressure

Answer 1

Explanation:

We know that  Bernoulli equation is the energy conservation equation.This equation given as

$\dfrac{P}{\rho g}+ \dfrac{V^2}{2g}+Z=C$

Where

P = Pressure

V= Velocity

Z= Elevation from reference

g= Acceleration due to gravity

ρ=Density

The above can be also written as

$P+ \dfrac{\rho V^2}{2}+\rho gZ=C$

ρ g Z = Static pressure

$\dfrac{\rho V^2}{2}=Dynamic\ pressure$

Stagnation pressure = Static pressure + Dynamic pressure

$Stagnation\ pressure=\dfrac{\rho V^2}{2}+\rho gZ$

$The\ total\ pressure = \dfrac{P}{\rho g}+ \dfrac{V^2}{2g}+Z$