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Consider a model of finite control volume (volume V and surface area) moving along the flow with elemental volume dV, vector elemental surface area d\(\vec{S}\), density ρ and flow velocity \(\vec{V}\). What is the time rate of change of mass inside the control volume?(a) \(\iiint_V\rho dV\)(b) \(\frac{\partial}{\partial t} \iiint_V\rho dV\)(c) \(\frac{D}{Dt} \iiint_V\rho dV\)(d) ρdVI have been asked this question in quiz.My doubt is from Continuity Equation in chapter Governing Equations of Fluid Dynamics of Computational Fluid Dynamics |
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Answer» Right option is (c) \(\frac{D}{DT} \iiint_V\rho dV\) |
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