Question

To convert the non-conservative integral equation of mass conservation into the conservative integral form, which of these theorems is used?

(a) Stokes theorem

(b) Kelvin-Stokes theorem

(c) Gauss-Siedel theorem

(d) Gauss Divergence Theorem

The question was posed to me by my college professor while I was bunking the class.

The query is from Continuity Equation topic in portion Governing Equations of Fluid Dynamics of Computational Fluid Dynamics

Answer 1

Right answer is (d) Gauss Divergence Theorem

The best I can explain: The expansion of non-conservative integral equation gives two volume integral terms. One of these terms representing the mass flow is converted into surface integral using the Gauss Divergence theorem.