Question

a) Describe the following types of flow and give one example: i) Steady uniform flow (2 marks) i) Unsteady uniform flow (2 marks) i) Unsteady non-uniform flow (2 marks) b) The power input P to a centrifugal pump is assumed to be a function of the volume flow Q, impeller diameter D, rotational rate 0, and the density p and viscosity u of the fluid. By using 0, p and D as repeating variables, develop this as a dimensionless relationship. (10 marks) QUESTION 3 (PO1, CO1, cO2, C4, C4)

Answer 1

Ans 1

Part i

Steady Uniform Flow

Steady means does not change with time

Uniform means same at all points

The flow in which the properties of fluid do not change with respect to time and doesn't change with respect to its geometrical coordinates is Steady Uniform Flow

In the below figure the velocity doesn't change with time and is same everywhere inside the pipe.

Constant diameter tube with constant flow rate.

Water

Part ii

Unsteady uniform flow

UnSteady means does change with time

Uniform means same at all points

The flow in which the properties of fluid do change with respect to time and doesn't change with respect to its geometrical coordinates is UnSteady Uniform Flow

Constant diameter tube at increasing rate

Part iii

Unsteady non uniform flow

UnSteady means does change with time

Non Uniform means does not same at all points

The flow in which the properties of fluid do change with respect to time and change with respect to its geometrical coordinates is UnSteady non Uniform Flow

Expanding tube at increasing rate