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June 29, 2018, 11:22 |
Flow over a plate
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#1 |
Member
Vivek
Join Date: Mar 2018
Location: India
Posts: 54
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Hi everyone,
I have one clarification about flow over a flat plate. I had searched in online but i am not clear till now. Why the leading edge of flat plate has sharp corner in the simulation of flow over a flat plate ? Why not other shapes? Thanks in advance!! |
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June 29, 2018, 12:31 |
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#2 | |
Senior Member
Filippo Maria Denaro
Join Date: Jul 2010
Posts: 6,893
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Quote:
In the theory of developing boundary layer (Prandtl equations), the point x=0 is a point of singularity in the solution. When we solve numerically, the spatial discretization cannot distinguish exactly on a node where the origin is. If you want to consider a smooth body describing the leading edge, this is developed in a different theory for the BL. |
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June 29, 2018, 13:07 |
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#3 | |
Member
Vivek
Join Date: Mar 2018
Location: India
Posts: 54
Rep Power: 8 |
Quote:
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June 29, 2018, 13:33 |
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#4 | |
Senior Member
Filippo Maria Denaro
Join Date: Jul 2010
Posts: 6,893
Rep Power: 73 |
Quote:
No, what I mean is that the BL theory over a flat plate consider really a semi-infinite plat with zero thickness. On the other hand, on a numerical grid of size h, you can set the first node with no-slip condition but owing to the discretization that does not determine exactly the singular point in the origin. If you want to describe a slender flat with a rounded leading edge, the standard theory of Prandtl should be modified by the developing boundary layer over the rounded leading edge. If I am right, that theory was developed by Hinze who described an exact solution for small values of x. |
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flat plate, sharp corner |
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