# NS equations ????????

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 March 15, 2006, 08:34 NS equations ???????? #1 vijesh joshi Guest   Posts: n/a Hi, i am not getting the exact reason that why NS equations cannot be solved analytically. that is why cant we obtain a general solution for NS eqns??? is it due to lack in the improvement in mathematics or what???

 March 15, 2006, 08:45 Re: NS equations ???????? #2 Jim Guest   Posts: n/a Two many variables, not enough equations.

 March 15, 2006, 08:58 Re: NS equations #3 Mich Guest   Posts: n/a Why not enough equations? For 2-D case we have three equations and three unknown (u,v,p). For analytical solution you get bonus in \$1 million. Hurry.

 March 15, 2006, 09:38 Re: NS equations #4 Jim Guest   Posts: n/a Which is why for Hagen-Poisueille and Couette flows, analytical solutions exists. Start introducing turbulence or compressibility, or even (heaven forbid) some complicated geometry, and I'd love to see you derive an analytical solution. You also forgot that time might be an issue.

 March 15, 2006, 12:33 Re: NS equations #5 kharicha Guest   Posts: n/a The problem is not really the number of unkowns, but the non-linearite of the equations due to the convectif term. The only solution you can find is usually in 2D and canceling the convectif term (poiseuille..etc )or the diffusif term (bernoulli). well, this is my point of view....

 March 15, 2006, 13:24 Re: NS equations #6 vijesh joshi Guest   Posts: n/a thanks to all

 March 15, 2006, 21:44 Re: NS equations #7 ztdep Guest   Posts: n/a non-linear give the difficulty! that all

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