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Rayleigh Number in Natural Convection along a vertical plate |
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June 10, 2019, 21:23 |
Rayleigh Number in Natural Convection along a vertical plate
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#1 |
Member
Mondal
Join Date: Sep 2018
Location: Canberra ACT
Posts: 68
Rep Power: 8 |
Hi Foamers,
I am a bit confused about the varying of Rayleigh number during the simulation. Can anyone please explain to me, What is the simplest parameter to vary Rayleigh number in natural convection? Note that: I do not want to change my geometry, so there is no chance of changing the length of the plate. Ra=gB(DletaT)L^3/Nu.alpha I know all parameter will change Ra number. I also know there is the simplest way to change DeltaT to change Ra number. For that case how can I control B for an ideal gas? In case of an ideal gas, B=1/Tf where Tf is the film temperature. If I change DeltaT each time, do I need to change Tf every time? Please clear me about this confusion. Cheers Razon |
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June 11, 2019, 03:58 |
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#2 |
Senior Member
Agustín Villa
Join Date: Apr 2013
Location: Alcorcón
Posts: 314
Rep Power: 15 |
Hi Razon,
which kind of solver do you plan to use? If you go for buoyantBoussinesqSimpleFoam or *PimpleFoam, changing your DeltaT should not be a problem. If you take a look into the code, the kinematic density only depends on DeltaT, not on their values. Then, the buoyant force in the momentum equation takes into account the derivative of such density, so you could still use the same beta coefficient. In my case (I'm finishing my PhD on LES in such natural convection boundary layers) I found easier to modify the thermal diffusivity. But as far as you respect the dimensionless number, you should be fine. |
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June 24, 2019, 11:56 |
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#3 | |
Senior Member
Joachim Herb
Join Date: Sep 2010
Posts: 650
Rep Power: 22 |
Are you sure, Delta T is the time step size? I think it is the temperature difference. See e.g. https://en.wikipedia.org/wiki/Rayleigh_number
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June 24, 2019, 12:02 |
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#4 | |
Member
Mondal
Join Date: Sep 2018
Location: Canberra ACT
Posts: 68
Rep Power: 8 |
Quote:
I didn't say DeltaT is time step. I know its temperature difference. Probably, there is misunderstading here. I wanted to say if I change DeltaT every time, do I need to change Beta every time? Cheers Razon |
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June 26, 2019, 07:55 |
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#5 |
Member
Praphul T
Join Date: Dec 2013
Location: Bangalore, India
Posts: 32
Rep Power: 13 |
Hi Mondal,
The simplest parameter that you can change to vary the Rayleigh number, Ra is by changing the acceleration due to gravity, g. By this, you can retain all other fluid parameters which is evaluated at a suitable temperature and there's no need to change the temperature difference, delT . In my opinion, as long as the flow is set at a particular Rayleigh number, the flow physics remain the same. Regards, Praphul |
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