
#1
Nov311, 09:29 AM

P: 6

μ[u_{yy} + u_{zz}]  ∂p/∂x = 0 ... (1)
∂u/∂x = 0 ; i tried assuming u(y,z) = Y(y)Z(z) so (1) becomes ... μ[ZY_{yy} + YZ_{zz}]  ∂p/∂x = 0 hence (1/Y)*Y_{yy} + (1/Z)*Z_{zz} = (R/YZ) = λ^{2} where, R = (1/μ)*∂p/∂x now Y_{yy} + λ^{2}Y = 0 ... can be solved easily but what about the remaining part .... i couldn't solve it due to the constant ... 



#2
Nov311, 01:13 PM

Mentor
P: 21,012





#3
Nov311, 02:10 PM

P: 6

∂p/∂x = constant
Some boundary conditions: x=0 , x=L ..... ∂u/∂x = 0 , v=0 , w=0 , ∂p/∂x = constant y=a,y=a ..... u=0,v=0,w=0, ∂p/∂y=0 z=b,z=b ..... u=0,v=0,w=0, ∂p/∂z = 0 



#4
Nov311, 03:10 PM

HW Helper
Thanks
P: 4,670

Help me solving this differential equation please[tex] u_{yy} + u_{zz} = k, [/tex] where [itex] k = c/ \mu [/itex] is a constant. Your condition [itex] u_x = 0[/itex] means that 'x' does not appear anywhere in the problem. RGV 


Register to reply 
Related Discussions  
differential equation ( help with solving it )  Calculus & Beyond Homework  2  
Need help solving a differential equation.  Classical Physics  0  
Solving a partial differential equation (Helmholtz equation)  Differential Equations  7  
Help solving a CauchyEuler Equation (Differential equation help)  Calculus & Beyond Homework  2  
I need help solving this differential equation...  Calculus & Beyond Homework  12 