Question

Leibniz rule is applied to which of these terms in deriving Reynolds transport theorem?

(a) Volume integral term of control volume

(b) Differential term of material volume

(c) Surface integral term of control volume

(d) Volume integral term of material volume

I had been asked this question in an online interview.

This intriguing question comes from Governing Equations topic in section Governing Equations of Fluid Dynamics of Computational Fluid Dynamics

Answer 1

Correct answer is (a) Volume integral term of control volume

To explain: Using Leibniz rule, the differentiation of an integral term can be reduced. Here, differential of integral exists in the Volume integral term of Control Volume which is given by \(\frac{d}{dt}(\int_vb \rho dV).\)