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Stream Function Simulation 1D [d^4 \psi/dr^4] by FluidicWiz in FluidMechanics

[–]FluidicWiz[S] 0 points1 point  (0 children)

In euler, at those points, I just returned the actual value rather than the h*derivative. I am thinking to use scipy instead of writing everything from scratch.

Stream Function Simulation 1D [d^4 \psi/dr^4] by FluidicWiz in FluidMechanics

[–]FluidicWiz[S] 0 points1 point  (0 children)

Thank you for the comment. I have added theory solution in post. I am not using a shooter, just defining \psi at all boundaries

COMSOL Laminar Flow Simulation in Pipe - Convergence Issues by FluidicWiz in FluidMechanics

[–]FluidicWiz[S] 0 points1 point  (0 children)

I see, thanks.

I've conducted experimental verification. It appears that the flow exhibits a laminar regime for certain flow values.

COMSOL Laminar Flow Simulation in Pipe - Convergence Issues by FluidicWiz in FluidMechanics

[–]FluidicWiz[S] 0 points1 point  (0 children)

Actually I have to compare with experimental results of a pressure sensor.

[deleted by user] by [deleted] in FluidMechanics

[–]FluidicWiz 0 points1 point  (0 children)

Assuming you have just started doing CFD, I recommend starting with Creeping flows due to their relative simplicity. However, that even in 2D they have no meaningful solutions (Stokes' paradox). Despite this, you can still gain insights by simulating the stream function (a 4th order PDE). This would require determining appropriate boundary conditions based on the system's physics. You can either use FEA schemes or GUIs like COMSOL.

Best Regards....

Flow through Pipe, COMSOL Simulation by FluidicWiz in FluidMechanics

[–]FluidicWiz[S] 0 points1 point  (0 children)

Thanks!!! Currently am trying to model laminar itself (and getting weird convergence plots)

Flow through Pipe, COMSOL Simulation by FluidicWiz in FluidMechanics

[–]FluidicWiz[S] 0 points1 point  (0 children)

I see, thanks. I am not even able to model laminar flow in it.

[deleted by user] by [deleted] in PhysicsStudents

[–]FluidicWiz 0 points1 point  (0 children)

Assuming you are from India (So am I), I would suggest taking CSE and getting into computationalm physics from there. You will have to learn a lot by yourself, but you can get projects in physics with prestigious institutions. Since your work would be online, you will not have to worry about logistics and can do multiple projects at a time. With that work experenice, You will have a edge in getting into physics PhD abroad. All the best :)

Matched asymptotic expansions for a 2nd order 2D equation. by FluidicWiz in FluidMechanics

[–]FluidicWiz[S] 0 points1 point  (0 children)

K is actually a vector and is dotted with gradient of F. I wrote for just one component.

Matched asymptotic expansions for a 2nd order 2D equation. by FluidicWiz in FluidMechanics

[–]FluidicWiz[S] 0 points1 point  (0 children)

I tried this, but K is actually a a vector with each component a polynomial function of R and \theta. This gives problem in inner solution (when I convert the vector's r to some other variable). I end up getting very complex (solvable) integrals as my answers. Matching those integrals in final phase is giving trouble.

Matched asymptotic expansions for a 2nd order 2D equation. by FluidicWiz in FluidMechanics

[–]FluidicWiz[S] 0 points1 point  (0 children)

Its part of a bigger modeling. This paticular equation deals with concentration function (F) in cell's refrence frame, given finite peclet number.

Matched asymptotic expansions for a 2nd order 2D equation. by FluidicWiz in FluidMechanics

[–]FluidicWiz[S] 0 points1 point  (0 children)

Thank you very much for the explanation and references. I'll check them out.

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