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January 30, 2013, 08:31 |
Non Boussinesq approximation
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#1 |
New Member
Hari
Join Date: Jan 2013
Posts: 4
Rep Power: 13 |
Hi,
I need to simulate natural convection in square cavity (bottom wall heated) without using Boussinesq approximation. I need to take the density changes into account with non-Boussinesq approximation. Can I solve this with an incompressible solver with treating density as constant? I need help about the formulation and way of solving. With regards, Hari |
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January 30, 2013, 09:15 |
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#2 | |
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Filippo Maria Denaro
Join Date: Jul 2010
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February 5, 2013, 09:04 |
Non Boussinesq approximation
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#3 |
New Member
Hari
Join Date: Jan 2013
Posts: 4
Rep Power: 13 |
Thank you for replying. I need to develop a pressure based solver without boussinesq approximation. Is it possible to work on incompressible flows without treating density as constant.
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February 5, 2013, 09:37 |
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#4 |
Senior Member
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If the density can vary, then the flow by definition is not incompressible. however, you can develop segregated solvers for variable density flows. One example of such a solver can be found in a JCP paper by Hou and Mahesh. If you put their names into google scholar, the second or third entry will point you to a pdf version of that paper.
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February 5, 2013, 10:42 |
Non Boussinesq approximation
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#5 |
New Member
Hari
Join Date: Jan 2013
Posts: 4
Rep Power: 13 |
Thankyou for replying.
I was referring to the following ASME J.heat transfer paper where they say the flow is incompressible with non boussinesq approximation in a differentially heated cavity. I have mentioned the details of the paper below. A Numerical Simulation of Combined Radiation and Natural Convection in a Differential Heated Cubic Cavity P. Kumar and V. Eswaran J. Heat Transfer,2010,Volume 132,Issue 2, |
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February 5, 2013, 11:28 |
Non Boussinesq approximation
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#6 |
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Jonas T. Holdeman, Jr.
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Location: Knoxville, Tennessee
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But doesn't "incompressible" just mean that the density is not a function of pressure? Isn't constant density just an additional simplification? I would think that an (idealized) incompressible fluid could still have the density a function of temperature or concentration. Isn't bouyancy just the result of density differences?
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February 6, 2013, 10:01 |
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#7 | |
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