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verify solute mass transport.
Posted Jul 13, 2009, 12:33 a.m. EDT 0 Replies
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I am testing a simple solute mass transport as attachment. The domain includes a initial concentration of water. There is a injection mass flux on the upper-right boundary and a concentration boundary on the upper-left side. I want to check the mass balance that the difference between the mass concentration solved by solute equation (T~) and mass concentration calculated by injection rate (T*) is zero (consistent) after 1 day run. First I integrated the mass concentration c over the whole domain and then subtracted the initial concentration c_initial which is 150 in my model. Now I multiple porosity and got the mass concentration which is increased due to flux injection. That is T~=theta_s* integral (c-c_initial). On the other hand, from conservation law, T*=integral (J_in - J_out)*dt. Since the injection flux rate R is constant, 3.723863e-5 kg/(m^2 s) in my model. The total injected mass is J_in=R*t. I did this method for my model, But it is not consistent since the difference between T~ and T* is not 0. Could any body give some suggestions/comments on how to check/verify this consistent? or what formulas I need to check/verify this matter?
Thank you in advance.
Attachments:
Hello Guoxiang liu
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