Dimensional analysis / similarity analysis help

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This discussion focuses on simulating fluid motion (diffusion) of gases in a 1/10 scale model enclosure to analyze ventilation efficiency. The user seeks advice on whether the velocity of a fan should be scaled to match the model's dimensions and the use of smoke pellets for visualization. The conversation highlights the importance of the convective mass transfer term in the mass transfer differential equation, specifically the term v.∇CA, which is dependent on velocity. Participants agree that scaling is necessary to ensure accurate simulation results.

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victor_123
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I’m currently investigation the fluid motion (diffusion) of gas's so see how well they can ventilate in an enclosure.

I would like to simulate this using a (1/10) scale model. The enclosure has already been built, and smoke pellets are going to be placed inside to help visualize fluid motion.

If I add a fan to simulate wind, will there have to be any scaling on its velocity to account for the 1-10 scale model and smoke pellets being used??

Any help or opinions are greatly appreciated

Thanks
 
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I think so. If you have a model race track then a car traveling normal speeds on your scaled down track would be way too fast, right?

The mass transfer differential equation...
∂CA/∂t + v.∇CA = DAB2CA

Where v.∇CA is your convective mass transfer term and, as you can see, is entirely dependent on velocity.
 
Thanks, that’s what I thought too. But I’m unsure of what parameters to use in the analysis. Any ideas people?

Thanks again
 

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