Euler's Equation

What are rotodynamic machines? Deduce the Euler's pump-turbine equation.

Differentiate between pressure relief valve and pressure reducing valve.

A pressure relief valve with a poppet area of $650 \text{ mm}^2$ and a spring constant of $450 \text{ kN/m}$ has its spring is initially compressed by $5 \text{ mm}$. The poppet must move by $2.5 \text{ mm}$ from its fully closed position in order to pass full pump flow through the valve. Determine the cracking pressure of the valve, and also the pressure of the valve needed for full pump flow through the valve.

State and deduce the Euler's equation of work done for fluid machinery form the RTT's.

Design a Pelton wheel for the following data: Head of water = 150 m, power to be developed = 600 kW and speed of the wheel = 360 rpm. Assume, reasonably, the missing data.

Derive Euler’s equation of energy transfer in rotodynamic machines.

Design a Pelton wheel for a head of $150\text{ meters}$ at a speed of $360\text{ rpm}$. Power to be developed by the turbine is $600\text{ kW}$. Assume the overall efficiency of the wheel as $85$.

What is meant by turbomachinery? Derive Euler turbomachinery equation.

A Pelton wheel is required to generate $4000 \text{ kW}$ under an effective head of $400 \text{ m}$. Determine (i) total flow in $\text{m}^3\text{/s}$ and (ii) size of jet. Assume generator efficiency $95$, overall efficiency $85$ and coefficient of velocity $0.98$ and speed ratio $0.46$.