Day 29-Oct 17-Worksheet-Diploma-Types of flow & fluid lines

If velocity at a point in a 2-D flow is given by V = 3x²y î + 4xy² ĵ m/s, then the flow is —

• Steady and uniform

• Unsteady and compressible

• Steady and non-uniform

• Irrotational and uniform

For laminar flow through a pipe, the velocity distribution follows —

• Linear law

• Parabolic law

• Logarithmic law

• Hyperbolic law

In a steady incompressible flow, the rate of change of mass within a control volume is —

• Zero

• Constant

• Equal to inflow rate

• Depends on pressure

For compressible flow, fluid density __________ with pressure and temperature.

• Remains same

• Varies

The discharge through a 250 mm diameter pipe is 0.045 m³/s. Compute the mean velocity.

(a)  

In a one-dimensional steady flow, velocity varies as V = 3x² m/s. Find the convective acceleration at x = 2 m.

(a)  

In uniform flow, velocity does not vary with space but may vary with time.

• True

• False

For irrotational flow, the curl of the velocity vector is non-zero.

• True

• False

Assertion (A): Pathlines can intersect each other in unsteady flow. Reason (R): Different particles may pass through the same point at different instants of time.

• Both (A) and (R) are true, and (R) correctly explains (A).

• Both (A) and (R) are true, but (R) does not explain (A).

• (A) is true, (R) is false.

• (A) is false, (R) is true.

• Both (A) and (R) are false.

The line whose tangent at any point represents the instantaneous velocity direction is called a (a)   .