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Which is the diffusion terms of the y-momentum equation?(a) \(\frac{\partial\tau_{xy}}{\partial x}+\frac{\partial\tau_{yy}}{\partial y}+\frac{\partial\tau_{zy}}{\partial z}\)(b) \(\frac{\partial\tau_{yx}}{\partial x}+\frac{\partial\tau_{yy}}{\partial y}+\frac{\partial\tau_{yz}}{\partial z}\)(c) \(\frac{\partial\tau_{xx}}{\partial x}+\frac{\partial\tau_{yx}}{\partial x}+\frac{\partial\tau_{zx}}{\partial x}\)(d) \(\frac{\partial\tau_{xy}}{\partial y}+\frac{\partial\tau_{yy}}{\partial y}+\frac{\partial\tau_{zy}}{\partial y}\)I have been asked this question in an interview for job.This question is from Navier Stokes Equation topic in division Governing Equations of Fluid Dynamics of Computational Fluid Dynamics

Answer»

Right ANSWER is (a) \(\frac{\PARTIAL\tau_{xy}}{\partial x}+\frac{\partial\tau_{yy}}{\partial y}+\frac{\partial\tau_{ZY}}{\partial z}\)

Easy explanation: \(\frac{\partial\tau_{xy}}{\partial x}+\frac{\partial\tau_{yy}}{\partial y}+\frac{\partial\tau_{zy}}{\partial z}\) are the DIFFUSION terms of the y-momentum equation. It involves all the shear STRESS tensors which are in the y-direction.



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