Computational Fluid Dynamics Practice Test 2

1. \(\frac{\partial(\rho\hat{u})}{\partial t}+\nabla.(\rho\vec{V}\hat{u}) = -\nabla.\dot{q_s}-p\nabla.\vec{V}-\tau:\nabla\vec{V}+\dot{q_v}\). This form of the energy equation is applicable to _________

2. What are the two viscosity coefficients involved in the relationship between stress tensor and strain rate of fluids?

3. The boundary condition represented in the following diagram is ___________

4. Consider an infinitesimally small fluid element with density ρ (of dimensions dx, dy and dz with mass δ m and volume δ V) moving along with the flow with a velocity \(\vec{V}=u\vec{i}+v \vec{j}+w\vec{k}\). The continuity equation is \(\frac{D\rho}{Dt}+\rho \nabla.\vec{V}=0\). Where does this second term come from?

5. The major difference between the Navier-Stokes equations and the Euler equations is the dissipative transport phenomena. The impact of this phenomena in a system is ____

6. Which is true for a symmetry boundary?

7. Which of these best define the Dirichlet boundary conditions for the property Φ at a point ‘b’ in a boundary?

8. Consider an element shown below. S is the source term.

If gravitational force is the only force acting on this element. Which of these following is correct?

9. Consider an infinitesimally small fluid element with density ρ (of dimensions dx, dy and dz) fixed in space and fluid is moving across this element with a velocity \(\vec{V}=u\vec{i}+v\vec{j}+w\vec{k}\). What is the final reduced form of net mass flow across the fluid element?

10. Which of the following applies to a symmetry boundary?