InterviewSolution
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InterviewSolution
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Which of these is the non-conservative differential form of Eulerian x-momentum equation?(a) \(\frac{\partial(\rho u)}{\partial t}+\nabla.(\rho u\vec{V})=-\frac{\partial p}{\partial x}+\rho f_x\)(b) \(\rho\frac{Du}{Dt}=-\frac{\partial p}{\partial x}+\rho f_x\)(c) \(\frac{(\rho u)}{\partial t}=-\frac{\partial p}{\partial x}+\rho f_x\)(d) \(\rho \frac{\partial u}{\partial t}=-\frac{\partial p}{\partial x}+\rho f_x\)This question was posed to me during an internship interview.The query is from Euler Equation in section Governing Equations of Fluid Dynamics of Computational Fluid Dynamics |
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Answer» RIGHT answer is (b) \(\RHO\frac{DU}{Dt}=-\frac{\partial P}{\partial x}+\rho f_x\) To elaborate: MOMENTUM equation excluding the viscous terms gives the Eulerian momentum equation. This can be given by \(\rho\frac{Du}{Dt}=-\frac{\partial p}{\partial x}+\rho f_x\). |
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