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The following partial differential equation describes the diffusion of salt in a vessel. Assuming that diffusion happens only along the x-axis, calculate the salt concentration (C(x, t)). D is the diffusion constant. ac at = D a²c əx² Initial condition: C(x,0) = Co (C(L, t) = 0 Boundary conditions: ac(0,t) Əx = 0

The following partial differential equation describes the diffusion of salt in a vessel. Assuming that diffusion happens only along the x-axis, calculate the salt concentration (C(x, t)). D is the diffusion constant. ac at = D a²c əx² Initial condition: C(x,0) = Co (C(L, t) = 0 Boundary conditions: ac(0,t) Əx = 0

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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The following partial differential equation describes the diffusion of salt in a vessel. Assuming that diffusion happens only along the x-axis, calculate the salt concentration (C(x, t)). D is the diffusion constant.

∂?/∂t = D*(∂2?/∂x2)

Initial condition:

?(x,0,) = ?0

?(?, t) = 0

Boundary conditions:

{∂?(0, ?)/∂x = 0

 

The following partial differential equation describes the diffusion of salt in a vessel. Assuming that diffusion happens only along the x-axis, calculate the salt concentration (C(x, t)). D is the diffusion constant. ac at a²c əx² Initial condition: C(x,0) = Co (C(L, t) = 0 Boundary conditions: ac(0,t) Əx = 0
Transcribed Image Text:The following partial differential equation describes the diffusion of salt in a vessel. Assuming that diffusion happens only along the x-axis, calculate the salt concentration (C(x, t)). D is the diffusion constant. ac at a²c əx² Initial condition: C(x,0) = Co (C(L, t) = 0 Boundary conditions: ac(0,t) Əx = 0
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