In a control volume adjacent to the boundary, the flux crossing the boundary is _______________ in the discretized equation.

introduced as a convective flux

The area in the western face of a 2-D steady-state diffusion stencil (uniform) is _______________

product of the grid sizes in the x and y-directions

ratio of the grid sizes in the x and y-directions

Which of these equations represent the semi-discretized equation of a 2-D steady-state diffusion problem?

( int_A frac{ partial}{ partial x}( Gamma A frac{ partial phi}{ partial x})dA+ int_A frac{ partial}{ partial y}( Gamma A frac{ partial phi}{ partial y})dA+ int_{ Delta V}S , dV=0 )

( int_A( Gamma A frac{ partial phi}{ partial x})dA+ int_A( Gamma A frac{ partial phi}{ partial y}) dA+ int_{ Delta V} S ,dV=0 )

( int_A frac{ partial}{ partial x}( Gamma A frac{ partial phi}{ partial x})dA+ int_A frac{ partial}{ partial y}( Gamma A frac{ partial phi}{ partial y})dA+ int_{ Delta V}S , dV=0 )

( int_A( Gamma A frac{d phi}{dx})dA+ int_A( Gamma A frac{d phi}{dy})dA+ int_{ Delta V}S , dV=0 )

( frac{ partial phi}{ partial t}+ int_A frac{ partial}{ partial x}( Gamma A frac{ partial phi}{ partial x}) dA+ int_A frac{ partial}{ partial y}( Gamma A frac{ partial phi}{ partial y})dA+ int_{ Delta V}S , dV=0 )

Explore topic-wise MCQs in Computational Fluid Dynamics.

This section includes 5 Mcqs, each offering curated multiple-choice questions to sharpen your Computational Fluid Dynamics knowledge and support exam preparation. Choose a topic below to get started.

1.	Consider a source-less 3-D steady-state diffusion problem. The general discretized equation is a_P _P = a_nb _nb. What is a_P?
A.	a<sub>P</sub>=a<sub>W</sub>+a<sub>E</sub>+a<sub>S</sub>+a<sub>N</sub>+a<sub>T</sub>+a<sub>B</sub>
B.	a<sub>P</sub>=a<sub>W</sub>+a<sub>E</sub>+a<sub>S</sub>+a<sub>N</sub>
C.	a<sub>P</sub>=a<sub>W</sub>+a<sub>E</sub>+a<sub>S</sub>+a<sub>N</sub>+a<sub>T</sub>
D.	a<sub>P</sub>=0
Answer» B. a<sub>P</sub>=a<sub>W</sub>+a<sub>E</sub>+a<sub>S</sub>+a<sub>N</sub>

Discussion

2.	In a control volume adjacent to the boundary, the flux crossing the boundary is _______________ in the discretized equation.
A.	set to some arbitrary constant
B.	set to zero
C.	introduced as a source term
D.	introduced as a convective flux
Answer» D. introduced as a convective flux

Discussion

3.	I general, for all the steady-state diffusion problems, the discretized equation can be given as a_P _P = a_nb _nb-S. For a one-dimensional problem, which of these is wrong?
A.	a<sub>nb</sub> =a<sub>T</sub>+a<sub>B</sub>
B.	a<sub>nb</sub> =a<sub>S</sub>+ a<sub>N</sub>
C.	a<sub>nb</sub> =a<sub>W</sub>+a<sub>E</sub>
D.	a<sub>nb</sub> =a<sub>P</sub>+a<sub>E</sub>
Answer» E.

Discussion

4.	The area in the western face of a 2-D steady-state diffusion stencil (uniform) is _______________
A.	grid size in the x-direction
B.	grid size in the y-direction
C.	product of the grid sizes in the x and y-directions
D.	ratio of the grid sizes in the x and y-directions
Answer» C. product of the grid sizes in the x and y-directions

Discussion

5.	Which of these equations represent the semi-discretized equation of a 2-D steady-state diffusion problem?
A.	( int_A( Gamma A frac{ partial phi}{ partial x})dA+ int_A( Gamma A frac{ partial phi}{ partial y}) dA+ int_{ Delta V} S ,dV=0 )
B.	( int_A frac{ partial}{ partial x}( Gamma A frac{ partial phi}{ partial x})dA+ int_A frac{ partial}{ partial y}( Gamma A frac{ partial phi}{ partial y})dA+ int_{ Delta V}S , dV=0 )
C.	( int_A( Gamma A frac{d phi}{dx})dA+ int_A( Gamma A frac{d phi}{dy})dA+ int_{ Delta V}S , dV=0 )
D.	( frac{ partial phi}{ partial t}+ int_A frac{ partial}{ partial x}( Gamma A frac{ partial phi}{ partial x}) dA+ int_A frac{ partial}{ partial y}( Gamma A frac{ partial phi}{ partial y})dA+ int_{ Delta V}S , dV=0 )
Answer» B. ( int_A frac{ partial}{ partial x}( Gamma A frac{ partial phi}{ partial x})dA+ int_A frac{ partial}{ partial y}( Gamma A frac{ partial phi}{ partial y})dA+ int_{ Delta V}S , dV=0 )

Discussion

Explore topic-wise MCQs in Computational Fluid Dynamics.

Consider a source-less 3-D steady-state diffusion problem. The general discretized equation is aP P = anb nb. What is aP?

In a control volume adjacent to the boundary, the flux crossing the boundary is _______________ in the discretized equation.

I general, for all the steady-state diffusion problems, the discretized equation can be given as aP P = anb nb-S. For a one-dimensional problem, which of these is wrong?

The area in the western face of a 2-D steady-state diffusion stencil (uniform) is _______________

Which of these equations represent the semi-discretized equation of a 2-D steady-state diffusion problem?

Consider a source-less 3-D steady-state diffusion problem. The general discretized equation is a_P _P = a_nb _nb. What is a_P?

I general, for all the steady-state diffusion problems, the discretized equation can be given as a_P _P = a_nb _nb-S. For a one-dimensional problem, which of these is wrong?