math of Diffusion ; diffusion through membrane
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A liquid diffuses through a porous membrane of thickness L. If the concentration c(x,t) is maintained at c1 on the x=0 side of the membrane and c2 on the x=L side of the membrane, determine c(x,t) on the membrane. Assume that there is no liquid in the membrane initially and the Dliquid = D. Simplify the solution when the diffusion length is larger than 'L'.
Attempted this problem with trigonometric series solution but couldn't derive the equation.
trigonometric-series
asked Dec 5 '18 at 4:39
ciskocisko
61
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add a comment |
$begingroup$
A liquid diffuses through a porous membrane of thickness L. If the concentration c(x,t) is maintained at c1 on the x=0 side of the membrane and c2 on the x=L side of the membrane, determine c(x,t) on the membrane. Assume that there is no liquid in the membrane initially and the Dliquid = D. Simplify the solution when the diffusion length is larger than 'L'.
Attempted this problem with trigonometric series solution but couldn't derive the equation.
trigonometric-series
asked Dec 5 '18 at 4:39
ciskocisko
61
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Please try and give us more info on what you have tried: Calculations, the differential equation you are trying to solve with you trigonometric series etc.
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– TheD0ubleT
Dec 5 '18 at 8:59
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I was reading this concept in a book about Diffusion by Crank and I even know the final solution to it its I don't know how to get there. In the book they have just given the final expression. I would have loved to show what I have done but my Mathjax is not great.
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– cisko
Dec 5 '18 at 13:57
add a comment |
$begingroup$
A liquid diffuses through a porous membrane of thickness L. If the concentration c(x,t) is maintained at c1 on the x=0 side of the membrane and c2 on the x=L side of the membrane, determine c(x,t) on the membrane. Assume that there is no liquid in the membrane initially and the Dliquid = D. Simplify the solution when the diffusion length is larger than 'L'.
Attempted this problem with trigonometric series solution but couldn't derive the equation.
trigonometric-series
asked Dec 5 '18 at 4:39
ciskocisko
61
$endgroup$
A liquid diffuses through a porous membrane of thickness L. If the concentration c(x,t) is maintained at c1 on the x=0 side of the membrane and c2 on the x=L side of the membrane, determine c(x,t) on the membrane. Assume that there is no liquid in the membrane initially and the Dliquid = D. Simplify the solution when the diffusion length is larger than 'L'.
Attempted this problem with trigonometric series solution but couldn't derive the equation.
trigonometric-series
trigonometric-series
asked Dec 5 '18 at 4:39
ciskocisko
61
asked Dec 5 '18 at 4:39
ciskocisko
61
asked Dec 5 '18 at 4:39
ciskocisko
61
asked Dec 5 '18 at 4:39
ciskocisko
61
asked Dec 5 '18 at 4:39
ciskocisko
61
61
$begingroup$
Please try and give us more info on what you have tried: Calculations, the differential equation you are trying to solve with you trigonometric series etc.
$endgroup$
– TheD0ubleT
Dec 5 '18 at 8:59
$begingroup$
I was reading this concept in a book about Diffusion by Crank and I even know the final solution to it its I don't know how to get there. In the book they have just given the final expression. I would have loved to show what I have done but my Mathjax is not great.
$endgroup$
– cisko
Dec 5 '18 at 13:57
add a comment |
$begingroup$
Please try and give us more info on what you have tried: Calculations, the differential equation you are trying to solve with you trigonometric series etc.
$endgroup$
– TheD0ubleT
Dec 5 '18 at 8:59
$begingroup$
I was reading this concept in a book about Diffusion by Crank and I even know the final solution to it its I don't know how to get there. In the book they have just given the final expression. I would have loved to show what I have done but my Mathjax is not great.
$endgroup$
– cisko
Dec 5 '18 at 13:57
$begingroup$
Please try and give us more info on what you have tried: Calculations, the differential equation you are trying to solve with you trigonometric series etc.
$endgroup$
– TheD0ubleT
Dec 5 '18 at 8:59
$begingroup$
Please try and give us more info on what you have tried: Calculations, the differential equation you are trying to solve with you trigonometric series etc.
$endgroup$
– TheD0ubleT
Dec 5 '18 at 8:59
$begingroup$
I was reading this concept in a book about Diffusion by Crank and I even know the final solution to it its I don't know how to get there. In the book they have just given the final expression. I would have loved to show what I have done but my Mathjax is not great.
$endgroup$
– cisko
Dec 5 '18 at 13:57
$begingroup$
I was reading this concept in a book about Diffusion by Crank and I even know the final solution to it its I don't know how to get there. In the book they have just given the final expression. I would have loved to show what I have done but my Mathjax is not great.
$endgroup$
– cisko
Dec 5 '18 at 13:57
add a comment |
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$begingroup$
Please try and give us more info on what you have tried: Calculations, the differential equation you are trying to solve with you trigonometric series etc.
$endgroup$
– TheD0ubleT
Dec 5 '18 at 8:59
$begingroup$
I was reading this concept in a book about Diffusion by Crank and I even know the final solution to it its I don't know how to get there. In the book they have just given the final expression. I would have loved to show what I have done but my Mathjax is not great.
$endgroup$
– cisko
Dec 5 '18 at 13:57