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A
arnair811-Visitor
1-Visitor
February 7, 2019
Question

solve partial differential equation

  • February 7, 2019
  • 2 replies
  • 12800 views

Hi,

         I am trying to solve the Kynch sedimentation process. For that, I need some help solving PDE with certain initial and boundary conditions. The objective is to get volume fraction (ϕ) in terms of height (z) and time (t). I am not really sure on how to go about doing this. It would be helpful if someone could take a look at it.

 

Thanks.

2 replies

L
LucMeekes23-Emerald IV
23-Emerald IV
February 7, 2019

You appear to be using phi as a variable and as a function at the same time.

LM_20190207_PDEsolve.png

That is begging for trouble. You have to clear this up before you can begin to solve.

 

Success!
Luc

 

A
arnair811-VisitorAuthor
1-Visitor
February 7, 2019

Hi,

       I have followed the equations given in the paper. Kindly check the attachments. 

L
LucMeekes23-Emerald IV
23-Emerald IV
February 7, 2019

To my opinion the paper uses inconsistent formulation.

At one time f is a function of just phi: "f(phi)".

At another point it is a function of two variables: "f(0,t)".

Mathcad, nor Prime will be able to work with that.

 

Success!
Luc

 

P.S

In your usage of Prime, with the derivative, you can leave the 'order' of the derivative blank if it's just 1 (It's only needed for second and higher order derivatives). That 'll help with readability.

 

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-MFra-21-Topaz II
21-Topaz II
February 10, 2019

Hi,

Below are my attempts to find a particular solution, using MAthcad 15, to the equation, after having defined the boundary condition for ϕ:

arnair81.jpg

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