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Rayleigh Number in Natural Convection along a vertical plate

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Old   June 10, 2019, 21:23
Default Rayleigh Number in Natural Convection along a vertical plate
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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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Old   June 11, 2019, 03:58
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Agustín Villa
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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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Old   June 24, 2019, 11:56
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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




Quote:
Originally Posted by Mondal131211 View Post
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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Old   June 24, 2019, 12:02
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Quote:
Originally Posted by jherb View Post
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
Hi Jherb,

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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Old   June 26, 2019, 07:55
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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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