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Which of these gives the statement of one-dimensional steady-state diffusion problem?(a) The diffusive flux of Φ leaving the exit face is the same as the diffusive flux of Φ entering the inlet face(b) The diffusive flux of Φ leaving the exit face plus the diffusive flux of Φ entering the inlet face is equal to the generation of Φ(c) The diffusive flux of Φ leaving the exit face minus the diffusive flux of Φ entering the inlet face is equal to the generation of Φ(d) The diffusive flux of Φ leaving the exit face is the same in magnitude and opposite in direction as the diffusive flux of Φ entering the inlet faceI got this question during an online exam.This is a very interesting question from FVM for 1-D Steady State Diffusion in division Diffusion Problem of Computational Fluid Dynamics

Answer»

Right answer is (C) The diffusive flux of Φ leaving the exit face minus the diffusive flux of Φ entering the inlet face is EQUAL to the generation of Φ

For EXPLANATION I WOULD SAY: The diffusive flux of Φ leaving the exit face minus the diffusive flux of Φ entering the inlet face is equal to the generation of Φ. It constitutes the balance equation over the control volume. This ensures conservation.



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