inflow into closed container
Hi,
Is it possible to model, say a cylindrical domain where one one end, there is an inlet with a diameter smaller than the cylinder. At this end, the velocity inlet boundary condition is prescribed. The rest of the wall is assumed to be stationary no slip wall. In this case, since we have an inlet flow into a closed domain, can the conservation of mass equation still be satisfied? I tried solving this in FLUENT and the solution converges. I am wary of its solution because intuition tells me that conservation of mass is not satisfied since there is no outflow to balance the inflow. Is the solution of FLUENT correct? Thanks. Sincerely, EH 
Incompressible?

Yes, it is solved with the ke model.

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Anyways, to your main question: No it should not work in this case, and I assume that your solution has not reached convergence and that you have terminated it before it blew up. Cheers! 
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If you calculate the mass flux across all boundaries what do you get?

I assumed you meant mass flow rate? Well, the mass flow rate at all the walls are zero except for the inlet where a value of 0.015kg/s was computed.
I guess it means there is a 0.015kg/s flow into the domain...but how is it that convergent is satisfied? This is puzzling. By the way, the mass flow rate at the interior calculated from fluent is 0.18kg/s...does this imply that mass vanishes somehow at the interior? 
Ok, I did a quick test with Fluent and I get the same results as you. However when I try the same in COMSOL and PHOENICS the solution diverges as expected. I have no good explanation as to why this works in Fluent. I will think more on the matter during the weekend. A cold beer is a good catalyst for "problems" like this ;)
Cheers! 
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If you happen to check the mass flow rate on the boundary, there is a positive flow rate into the container. However, if you calculate the mass flow rate at the interior as well, then there is a sink, which is somehow greater than the net mass flow rate at the boundary (at least in my model). Really puzzling... 
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