fluid mechanics solve step by step?Turbomachinery $-$ Euler's Equation, Dimensional Analysis and Cavitation Question $2$

The pump investigated in Assignment $4$ needs to be checked to ensure cavitation does not occur.

a Evaluate the Net Postive Suction Head $($NPSH$)$ available for the operating conditions

determined in Assignment $4.$ Assume the water temperature is $50C($water saturation

pressure is $12\mathrm{.}4$ kPa $)$ and atmospheric pressure is $101$ kPa $.$ Assume density $=1000$

$k\frac{g}{m^3}$

b Using the Pump Performance Characteristic in Assignment $4$ to determine the NPSH

Required for the pump.

c Assess if cavitation is going to occur and comment on the result.

Question $3$

The pump investigated in Assignment $4$ is connected to a $4-$pole motor with a constant speed of

$735$ rpm $.$ Estimate the new flow rate, head rise and power.

Question $1$

A small Francis Turbine has the following rated conditions

The turbine runner has an outer diameter of $1\mathrm{.}2$ m and the water exits the runner at a distance of

$0\mathrm{.}2$ m from the centreline of the turbine shaft. The passage width through the runner is $0\mathrm{.}2$ m $.$ At

inlet, the runner vanes have an angle of ${}_2=40$ degrees measured relative to the peripheral

direction as shown below. Assume the water exits the runner with no swirl and the water density

is $1000k\frac{g}{m^3}.$

a Sketch the inlet guide vanes, runner, and draw both the inlet and outlet velocity triangles

showing all normal and tangential components.

b Evaluate the components of energy transfer $($absolute velocity head, centrifugal velocity

head and relative velocity head$).$

c Evaluate the hydraulic and overall efficiency of the turbine.

d Evaluate the turbine specific speed and comment if this is consistent for this type of

machine.