How to apply "Convective Operator" to a scalar field?

sam_1982 · August 28, 2013, 10:20

I know how to apply the convective operator to a vector field: http://mathworld.wolfram.com/ConvectiveOperator.html
But I need to apply this operator to a scalar field (temperature). Anyone has a suggestion?

FMDenaro · August 28, 2013, 11:39

Quote:

Originally Posted by sam_1982

I know how to apply the convective operator to a vector field: http://mathworld.wolfram.com/ConvectiveOperator.html
But I need to apply this operator to a scalar field (temperature). Anyone has a suggestion?

It is a scalar function therefore just write v.Grad T, for example in Cartesian Coordinates :

u dT/dx + v dT/dy + w dT/dz

duri · August 28, 2013, 11:56

Look at the continuity equation it shows convective operator to density scalar field.

August 28, 2013, 10:20	How to apply "Convective Operator" to a scalar field?	#1
sam_1982 New Member Join Date: Aug 2013 Posts: 4 Rep Power: 13	I know how to apply the convective operator to a vector field: http://mathworld.wolfram.com/ConvectiveOperator.html But I need to apply this operator to a scalar field (temperature). Anyone has a suggestion?

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August 28, 2013, 11:56		#3
duri Senior Member duri Join Date: May 2010 Posts: 245 Rep Power: 17	Look at the continuity equation it shows convective operator to density scalar field.