BME Fluid Mechanics 5

Question 1

Reynolds Transport Theorem relates the time rate of change of an extensive property in a:

Accepted Answer

Control volume to a system (material volume)

Answer

Reynolds Transport Theorem converts conservation laws from a Lagrangian system (fixed mass) to an Eulerian control volume formulation.

Question 2

In pipe network analysis using the Hardy-Cross method, iterations are performed to satisfy:

Accepted Answer

Mass continuity at each node and energy balance around each loop

Answer

Hardy-Cross iterates flow corrections until both nodal flow continuity and loop head-loss balance (∑h_f = 0) are satisfied simultaneously.

Question 3

The 'no-slip condition' in viscous fluid mechanics states that:

Accepted Answer

The fluid velocity at a solid wall equals the wall velocity

Answer

The no-slip condition requires that viscous fluid immediately adjacent to a solid surface moves at the same velocity as the surface.

Question 4

Which statement correctly describes the difference between Newtonian and non-Newtonian fluids?

Accepted Answer

Newtonian fluids have constant viscosity; non-Newtonian fluids have viscosity that depends on shear rate

Answer

Newtonian fluids have a linear stress–strain rate relationship (constant μ); non-Newtonian fluids (e.g., blood, paint) exhibit shear-dependent viscosity.

Question 5

The Buckingham π theorem states that if a physical problem involves n variables and k fundamental dimensions, the number of independent dimensionless groups is:

Accepted Answer

n − k

Answer

Buckingham π theorem: the number of independent dimensionless Π groups equals n (variables) minus k (fundamental dimensions).

BME - Bachelor of Mechanical Engineering Practice Test

BME - Bachelor of Mechanical Engineering Practice Test

BME Fluid Mechanics 5