 ## Fluids

#### Linearizing source terms of a property that depends on the value of another property

• montenegro
Subscriber
Hello.nnWhen linearizing source terms on a property (in my case, Temperature - T) that depends on the value of another property (in my case, UDS1) and this last one is calculated using values from the first property, do I consider these values constant in dS[eqn] for the temperature or not?.For example, I have the following source term:nS_temp = A * UDS1 * T^2;nnWhere A is a constant value and UDS1 is calculated as follows:n?(sigma * ?UDS1) + S_UDS1 = 0;nnAndnsigma = B * exp(1/T);nnDo I consider UDS1 as a constant value in the linearization of T?ndS_temp/dT = 2 * A * UDS1 * T;nnThank you.nBest regards,nMiguel Montenegronn
• DrAmine
Ansys Employee
You linearize with respect to the variable you are solving the transport equation and adding now the source term. So with respect to T. AS your UDS1 does depend on T and not on linear way I think you can assume it constant here.n
• montenegro
Subscriber
So my assumption was correct, the linearization of S_temp (temperature source term) in this case would be:nn(d/dT)*S_temp = 2 * A * UDS1 * T;nnCorrect?.Thank you.nBest regards,nMiguel Montenegron 