Railways Technical Ability Fluid Mechanics and Machinery Question Bank Fluid Mechanics

  • question_answer The continuity equation in a differential form is:

    A) \[\frac{dA}{A}+\frac{dV}{V}+\frac{dp}{\rho }=\text{constant}\]

    B) \[\frac{A}{dA}+\frac{V}{dV}+\frac{\rho }{dp}=\text{constant}\]

    C) \[\frac{dA}{A}+\frac{dV}{V}+\frac{dp}{\rho }=0\]

    D) \[AdA+VdV+p\,d\rho =0\]

    Correct Answer: D

    Solution :

    \[Q={{A}_{\rho v}}=const\] Taking in of both sides In \[A+In\,\rho +In\,v=\,In\,\,const\] Taking differential, we have \[\frac{dA}{A}+\frac{d\rho }{\rho }+\frac{dv}{v}=0\]

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