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Most Efficient Numerical Method for Solving Boundary Layer Flows |
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August 1, 2012, 09:42 |
Most Efficient Numerical Method for Solving Boundary Layer Flows
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#1 |
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samina
Join Date: Aug 2012
Location: Pakistan
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hi friends,
Can anyone tell me about some efficient n stable numerical schemes to solve Boundary Layer Flow Problem. thanks With profound regards. samina |
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August 2, 2012, 07:06 |
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#2 | |
Senior Member
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Quote:
which kind of boundary layer problem? If it is 2D and over a flat plate, solving Blasius equation is straightforward. check this :http://moon.pr.erau.edu/~gallyt/ae30...ricBlasius.pdf If the geometry is more complex than flat plate, use any good Navier-Stokes solver. |
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August 2, 2012, 12:48 |
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#3 |
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samina
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thanks leflix,
you suggested a goood link. My problem is not on an easy geometry, its the BVP for the flow over an expanding stretching cylinder, (in cylindrical coordinates) 3D geometry |
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August 2, 2012, 13:14 |
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#4 |
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Then the only outcome is to solve the full NS equations. Refine the grid near the wall. Hope the Reynolds number is not too high....
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August 4, 2012, 11:20 |
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#5 |
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samina
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One more issue,I have NS eq of order four, while i have only three boundary conditions..
What should i do for the missing condition. Regards |
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August 4, 2012, 11:43 |
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#6 |
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cfdnewbie
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August 4, 2012, 12:00 |
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#7 |
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samina
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Obviously, 2nd order PDEs (NS eqs for the viscous fluid).
but when i convert these equations to ODE, by using similarity transform for the stretching surfaces, order of the differential equation is raised by 1, so it becomes 3rd order ODE. And when i solve the same problem for the 2nd grade fluid, i get ODE of order 4 |
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August 4, 2012, 13:16 |
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#8 | |
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cfdnewbie
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Quote:
Sorry, I don't know what a 2nd grade fluid is, but if you have 3 BCs from the similarity ( I assume what you are doing is similar to the classical blasius solution, which is a 3rd order PDE), then the last one has to come from this 2nd grade fluid, whatever that might be |
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