AFM TEST 1

What does the Reynolds Transport Theorem describe?

• A) The movement of fluids through porous media

• B) The transport of momentum in laminar flow

• C) The transport of conserved quantities in a moving control volume

• D) The generation of turbulence in a boundary layer

When applying Reynolds Transport Theorem, what must be accounted for regarding the control volume?

• A) Only changes in velocity

• B) Only changes in pressure

• C)Only changes in temperature

• D) All changes within the control volume

Which elementary flow represents a combination of a source and a sink with equal strengths but opposite directions?

• a) Source flow

• b) Sink flow

• c) Doublet flow

• d) Freestream flow

Which elementary flow represents rotational flow around a point?

• a) Source flow

• b) Sink flow

• c) Doublet flow

• d) Vortex flow

Which term in the Navier-Stokes equations represents the viscous forces within a fluid?

• a) Convective term

• b) Pressure gradient term

• c) Viscous term

• d) Inertial term

What happens if a fluid's velocity field is irrotational according to the Navier-Stokes equations?

• a) The flow becomes turbulent

• b) The fluid experiences no shear stress

• c) The flow becomes laminar

• d) The fluid heats up rapidly

What is the primary limitation of the Navier-Stokes equations in practical applications?

• a) They cannot account for fluid turbulence

• b) They only apply to idealized fluid scenarios

• c) They are too complex to solve analytically for most real-world problems

• d) They cannot be used for compressible fluids

Which fundamental physical principles are used in the derivation of the Navier-Stokes equations?

• a) Newton's laws of motion and conservation of mass

• b) Einstein's theory of relativity

• c) Maxwell's equations

• d) Heisenberg's uncertainty principle

In two-dimensional flow, what does the stream function describe?

• a) The pressure distribution in the fluid

• b) The velocity distribution in the fluid

• c) The streamline pattern of the fluid

• d) The density distribution in the fluid

Which boundary condition is typically used for solving the Laplace equation for the stream function in potential flow around a solid body?

• a) The stream function is zero at the boundary

• b) The normal derivative of the stream function is zero at the boundary

• c) The tangential derivative of the stream function is zero at the boundary

• d) Both the normal and tangential derivatives of the stream function are zero at the boundary