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Saturday, 18 March 2017

What is Control Volume and Control Surface?

 What is Control Volume and Control Surface?

CV= Control Volume, CS= Control Surface - Wikimedia
Control Volume is simply mathematical representation of 3D space.

In fluid mechanics and thermodynamics, the control volume is a volume fixed in space or moving with constant velocity (no acceleration) through which the fluid (it could be gas or liquid) flows.

The surface enclosing the control volume is referred to as the control surface.  Control surface is boundary of Control Volume.

Mathematically Control Volume is denoted by ∂V.
In the figure above, CV is Control Volume.

Mathematically Control Surface is denoted by ∂S.
In the figure above, CS is Control Surface.

Relation between Control Volume and Control Surface: -


Relation between Control Volume and Control Surface can be given by Gauss Divergence Theorem








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