Recent content by daz71

hi aq1q, As I have said, their PDE is exactly like mine, their boundary condition at z = 0 is also same as mine, the only difference is their bc at z = infinity, in which they have: u(infnity, t) = uc (a constant), and I have du/dz = 0 instaed. But let me remark that they did not claim to...

Hello aq1q, thank you for your reply, I am afraid I did not make any break through. Apart from a paper I have seen that have a similar problem formulation, the only diffrence is that the boundary condition they have at z = infinity is a Dritchlet condition i.e, u(infinity, t) = uc, where uc...

Hi aq1q, Thank you very much, you have been absolutely amazing for your kind assistance. I guess you should go and rest, I shall meet you up tomorrow hopefully with some leeway. Thank you alot!

hi aq1q, My line of thinking is that I am to use the soln for u(z,t) which is for the case at hand wll be of the form: Aexp(wt) + Bexpt(-wt). where A and B are to be determined. so if we introduce h(z,t) V(z,t) = Aexpt(wt) + Bexpt(-wt) - expt(-k(phi -ub)z) right?

Hi aq1q, yes to experment research possibilities, so I need to have some kind of solution for the heat equation (which is standard) , but imposing these bcs. But you are faster than I thought though, cos I you got the h(z,t) even b4 I figure out how to go about it.

hi aq1q, OK, that very encouraging, we do it together as you said. I am sure you are very capable to guide me through. thanks alot.

Hello aq1q, No the problem is not from a textbook, I set it up myself. But I can asure is no home work as well :) thanks.

Hi aq1q, the problem is getting me stirred up as well that I can't figure out this error, yes certainly you are right it should read u(0,t) because it is the temperature at z = 0 that we are dealing with at any point in time as we implement the bc. So any suggestions in that case? thanks.

Hi aq1q, I apologised, the first condition is actually convective boundary. so the u on the left is actually the same u in the derivative: u(z,t).

Hi aq1q, In the RHS of bc 1, u is not a constant but rather the dependant variable(the u in the derivative). so I guess your second suggestion will be the option for me, but could u pls tell me more abt this step: 'v(z,t)= u(z-t)- h(z)' do you mean u(z,t) as in the orginal problem?

Hi aq1q, Pardon me for the messy representation of the equations, the bcs should read: 1) \ z = 0; \left[\frac{\partial u}{\partial z}\right]_{z=0}= k\left(u - u_{b}\right) 2) z = \infty; \left[\frac{\partial u}{\partial z}\right]_{\infty} = 0 where k, and ub are constants

hi all, I am trying to solve this PDE by separation of variables, it goes like this: \frac{\partial u}{\partial t} = \alpha\frac{\partial ^2 u}{\partial z^2} for 0\leq z\leq infty the initial condition I have is: t=0; u = uo. the boundary condtions: z=0; \frac{\partial...

Solving a transient partial differential equation hello all, Could some one help me on this transient heat conduction equation, i had problem with the latex control on the forum website, so i attached the details of the problem and what i did so far as attachement. thanks.