Assuming isotropic porosity and solitary stage circulation, the volume-averaged mass and momentum conservation equations are as follows:
Where by rho Va^two/2 would be the dynamic force, and Va is the average velocity of fluid equal to 50 % of the maximum velocity profile, r=0, for laminar stream and horizontal pipe. L will be the length of pipe and D diameter, file would be the friction issue, and rho the fluid density.
The porous media design incorporates an empirically established flow resistance in a very region of your respective design described as "porous''. In essence, the porous media product is nothing a lot more than an added momentum sink while in the governing momentum equations. As a result, the following modeling assumptions and constraints should be commonly recognized: Because the volume blockage that is definitely physically existing will not be represented while in the design, by default ANSYS FLUENT works by using and studies a superficial velocity Within the porous medium, depending on the volumetric move charge, to ensure continuity in the velocity vectors through the porous medium interface.
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Initial see the proper way to choose the expected constraint: regardless of whether it should be a line, surface area or quantity and do the needful effectively.
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In general, You need to use the typical Alternative techniques and solution parameter settings Whenever your ANSYS FLUENT model contains porous media. You could find, nevertheless, that the rate of convergence slows after you outline a porous region through which the tension drop is pretty big while in the move route (e.g., the permeability, , is reduced or even the inertial factor, , is significant). This gradual convergence go to this site can come about because the porous media force drop seems being a momentum resource expression--yielding a loss of diagonal dominance--while in the matrix of equations solved.
When modeling laminar circulation through a packed mattress, the 2nd expression in the above equation could possibly be dropped, resulting in the Blake-Kozeny equation
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