Question

for thermal boiler drum consists of a cylindrical portion 2m long. 1 m diameter and 25 mm thick has hemispherical ends. it is filled with an incompressible fluid atmospheric pressure. how much additional fluid should be pumped in to rise internal pressure to 10 mpa. assume circumferential strain at the junction of cylinder and hemispherical is the same.

Answer 1

To calculate the additional fluid needed to raise the internal pressure of the thermal boiler drum, use the formula P = F/A. Calculate the initial pressure using the formula F = ρ×V×g. Then use the formula Additional Fluid = (Additional Pressure × Drum Volume) / Initial Fluid Pressure.

Step-by-step explanation:

To calculate the additional fluid that should be pumped into the thermal boiler drum to raise the internal pressure to 10 MPa, we will need to use the formula for pressure:

Pressure (P) = Force (F) / Area (A)

First, we need to calculate the initial pressure inside the drum when it is filled with an incompressible fluid at atmospheric pressure. The force applied to the fluid is equal to the weight of the fluid, which can be calculated using the formula:

Force (F) = Density (ρ) × Volume (V) × Gravity (g)

Once we have the initial pressure, we can calculate the additional pressure required. The additional fluid that needs to be pumped in can be calculated using the formula:

Additional Fluid = (Additional Pressure × Drum Volume) / Initial Fluid Pressure