Integral governing equations

From Thermal-FluidsPedia

Contents 1 Transformation Formula 2 Continuity 2.1 Momentum 2.2 Energy 2.3 Entropy 2.4 Conservation of Mass Species

Transformation Formula

A fixed-mass system describes an amount of matter that can move, flow and interact with the surroundings, but the control volume approach depicts a region or volume of interest in a flow field, which is not unique and depends on the user. So conservation laws for a fixed-mass system need to be transformed to apply to a control volume. The transformation Formula allows one to mathematically and physically link the conservation laws for a control volume with that of a fixed-mass system.

See Main Article Transformation formula

Continuity

The law of the conservation of mass dictates that mass may be neither created nor destroyed. For a control volume that contains only one phase, the integral continuity equation is

See Main Article Continuity

Momentum

See Main Article Momentum

Energy

See Main Article Energy

Entropy

See Main Article Entropy

Conservation of Mass Species

See Main Article Conservation of Mass Species