Governing Equations and Boundary Conditions

Initial conditions are used for

• boundary value problems

• marching problems

• periodic problems

• none of the above

The Neumann and Dirichlet boundary conditions are _________ and _________

• value specified, flux specified

• flux specified, gradient specified

• value specified, time specified

• gradient specified, value specified

Which among these is a combination of value specified and flux specified boundary condition?

• Dirichlet boundary condition

• Neumann boundary condition

• Robin boundary condition

• Symmetry boundary condition

Which type of equation defines a steady heat conduction with heat generation in a solid body?

• Laplace equation

• Poisson equation

• Fourier equation

• Tricomi equation

Which of these falls in the post-processing category?

• Grid generation

• Discretization

• Defining boundary condition

• Flow visualization

In the general transport equation ∂(ρϕ)∂t+∇⋅(ρuϕ)=∇⋅(Γ∇ϕ)+Sϕ, what is the value of diffusion coefficient for continuity equation?

• 0

• 1

• 2

• 3

In the general transport equation ∂(ρϕ)∂t+∇⋅(ρuϕ)=∇⋅(Γ∇ϕ)+Sϕ, what is the value of diffusion coefficient for energy equation?

• T

• k/Cp

• q/Cp

• none of the above

The nature of the second order partial differential equation is

• circular

• elliptic

• parabolic

• hyperbolic

The value of α (alpha) for which the equation becomes parabolic is

• 1

• 2

• 4

• 8

The steady compressible flow defined by the given equation becomes hyperbolic under the condition

• 
• 
• 
•