Let \((\vec{V} \Delta t).\vec{ds}\) be the change in volume of elemental control volume in time Δt. Over the same time Δt, what is the change in volume of the whole control volume V with control surface S?
(a) \(\int(\vec{V}\Delta t).\vec{ds}\)
(b) \(\vec{V}\Delta t\)
(c) \(\sum(\vec{V}\Delta t).\vec{ds}\)
(d) \(\iint_s(\vec{V}\Delta t).\vec{ds}\)
I had been asked this question in exam.
My doubt is from Governing Equations in portion Governing Equations of Fluid Dynamics of Computational Fluid Dynamics