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Derivatives wrt Temperature

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Old   April 24, 2014, 19:33
Default Derivatives wrt Temperature
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Deepak Kalaikadal
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How do I calculate derivative of a fluid property wrt temperature, like d(rho)/dT or d(viscosity)/dT?
I am working on heat transfer in two phase systems where temperature gradients create vast differences in properties.

Are there schemes to calculate these derivatives? I could find only divergence, laplacian and grad schemes. How do i incorporate a new discretization scheme for a derivative like above? I am currently using interFOAM with temeperature incorporated!

Thanks!

Last edited by kalaikdr; April 25, 2014 at 00:26. Reason: Add Information
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Old   April 25, 2014, 05:19
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Originally Posted by kalaikdr View Post
How do I calculate derivative of a fluid property wrt temperature, like d(rho)/dT or d(viscosity)/dT?
I am working on heat transfer in two phase systems where temperature gradients create vast differences in properties.

Are there schemes to calculate these derivatives? I could find only divergence, laplacian and grad schemes. How do i incorporate a new discretization scheme for a derivative like above? I am currently using interFOAM with temeperature incorporated!

Thanks!
You might have to extend the thermophysical model that you're using, to provide a function that calculates this derivative. Then you can use it in the equation you are solving. Depending on the model this can be an analytical or numerical derivative.
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Old   June 5, 2014, 15:19
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Thank you Chriss. But I ended up giving a constant value for the derivative. It was a very small magnitude anyway.
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