Correct Answer - Option 1 : Integration of Euler's Equation
Explanation:
Bernoulli's equation: it is known as conservation of energy and is obtained by integrating the Euler's equation of motion.
\(\int {\frac{{\rm{P}}}{{\rm{\rho }}}} {\rm{ + }}\int {{\rm{gdz + }}\int {{\rm{VdV = const}}} } \)
The Assumptions of Bernoulli equation are:
- Steady flow that is the flow condition do not change with time at any point.
- Incompressible flow, ρ is constant.
- Non viscous, ideal flow.
- Energy is niether added nor removed from system.
In terms of energy per unit mass Bernoulli equation is:
\(\frac{P}{\rho}+gz+\frac{V^2}{2}=const\)
In terms of energy per unit weight Bernoulli equation is:
\(\frac{P}{\rho g}+z+\frac{V^2}{2g}=const\)
where,
P/γ = P/ρg = Pressure energy per unit weight of fluid or pressure head
v2/2g = Kinetic energy per unit weight or kinetic head
z = Potential energy per unit weight or potential head