CVEN 3313 Chapter Notes - Chapter 4,5: Material Derivative, Continuity Equation, Surface Integral
28 Feb 2017
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The reynolds transport theorem is an analytical tool that describes one shift representation to the other. Look at the equation below: b represents any fluid parameter(velocity, acceleration, mass, temperature, momentum, m is the mass of the portion of fluid of interest. Relationship to material derivative: the reynolds theorem is the integral counterpart of the material derivative. Unsteady effects: the reynolds theorem involves steady and unsteady effects, for some flow situations, certain portions of the reynolds transport theorem are automatically zero. Moving control volumes: the relative velocity is the difference between the absolute velocity and the velocity of the control volume, the reynolds equation for a moving control volume involves the relative velocity. The amount of mass in a system does not change with time. The continuity equation (listed below) is a statement that mass is conserved. The mass flowrate equals the product of density and volume flowrate.
