[alimea]

Hi all

I want to simulate a forced convection that is report in paper:

Accounting for temperature-dependent properties in viscoelastic duct flows

by Nobrega.

Like the other papers, all of the results are reported in non-dimensioned form. I have calculated initial and boundary conditions based on these dimensionless numbers.
Dimensionless temperature is defined as:

T*=(T-Ti)/(Ts-Ti)

where Ts and Ti are wall and inlet temp. Scince the real or physical values of Ts and Ti are not mentioned in the paper, I decided to select to arbitrary values like 1 and 0 respectively.
Viscosity is changing with

etta(T) = etta0 * aT

where

aT = exp [a(1/T-1/T0)]

where T0 = 463 K and a = 1720 K

Now I have a question:

My T* values that are come from BC, IC or from the energy Eqn are dimensionless, how can I put these dimensionless values in a relation with real physical To and a ?!!!

Thanks