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Volume Integration and Surface Integration

Posted Feb 27, 2013, 12:51 a.m. EST Fluid & Heat, Heat Transfer & Phase Change, Computational Fluid Dynamics (CFD), Modeling Tools & Definitions, Parameters, Variables, & Functions, Results & Visualization, Studies & Solvers Version 4.3a 1 Reply

Nithin
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What is the use of volume integration and surface integration for the parameters like temperature, pressure and velocity??
1 Reply Last Post Feb 27, 2013, 1:40 a.m. EST
Ivar KJELBERG COMSOL Multiphysics(r) fan, retired, former "Senior Expert" at CSEM SA (CH)
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Posted: 1 decade ago Feb 27, 2013, 1:40 a.m. EST
Hi

I'm not sure I understand you fully, indeed the integration of a temperature Field T(x,y,z,t) over a domain ends up with units K*m^3, as such not a usual physical global variable, but if you rather integrate over the volume rho*Cp*(T-T0) you get the increase in internal energy which is rather a usual and interesting variable

and to get the average temperature you need to integrate T over the volume and divide by the integration aver the volume of "1" i.e. the total volume. But now in V4 we have this in the average operator (if we consider the full domain)

This applies by similarity to p and v and many other variables

--
Good luck
Ivar
Hi I'm not sure I understand you fully, indeed the integration of a temperature Field T(x,y,z,t) over a domain ends up with units K*m^3, as such not a usual physical global variable, but if you rather integrate over the volume rho*Cp*(T-T0) you get the increase in internal energy which is rather a usual and interesting variable and to get the average temperature you need to integrate T over the volume and divide by the integration aver the volume of "1" i.e. the total volume. But now in V4 we have this in the average operator (if we consider the full domain) This applies by similarity to p and v and many other variables -- Good luck Ivar

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