Trouble with PDE of a channel flow - XP Math - Forums

 XP Math - Forums Trouble with PDE of a channel flow

 12-12-2008 #1 wisdommaster Guest   Posts: n/a Trouble with PDE of a channel flow I am having trouble finding the analytic solution to this problem, any help is appreciated. the @ symbol represents a partial derivative its an engineering problem of a PDE for starting poiseuille flow in a channel u(y,t) @u/@t = −dp/dx +1/Rehchan @^2u/@x^2 Rehchan is the reynolds number for the height of the channel Rehchan = density*U*h/u = U*h(chan)/v initial condition u(y,0) = 0 boundary conditions u(0,t)=0 for t>0 y = 0 represents the bottom of the channel u(1,t)=0 for t>0 y = 1 represents the top of the channel dp/dx = -.01 and Rechan = 100

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