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Handbook of Linear Partial Differential Equations for Engineers and Scientists, 2nd Edition
book

Handbook of Linear Partial Differential Equations for Engineers and Scientists, 2nd Edition

by Andrei D. Polyanin, Vladimir E. Nazaikinskii
December 2015
Intermediate to advanced content levelIntermediate to advanced
1643 pages
59h 33m
English
Chapman and Hall/CRC
Content preview from Handbook of Linear Partial Differential Equations for Engineers and Scientists, 2nd Edition
336 SECOND-ORDER PARABOLIC EQUATIONS WITH ONE SPACE VARIABLE
Mass exchange between fluid film and gas.
The mass exchange between a fluid film and the gas above the free surface, provided that
the admixture concentration at the film surface is constant and there is no mass transfer
through the solid surface, meets the boundary conditions
w = 0 at x = 0 (0 < y < 1),
w = 1 at y = 0 (x > 0),
y
w = 0 at y = 1 (x > 0).
The solution of the original equation subject to these boundary conditions is given by
w(x, y) = 1
X
m=1
A
m
exp
2
m
x
F
m
(y),
F
m
(y) = y exp
1
2
λ
m
y
2
Φ
3
4
1
4
λ
m
,
3
2
; λ
m
y
2
,
(1)
where the function F
m
and the coefficients A
m
and λ
m
are independent of the parameter ...
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Publisher Resources

ISBN: 9781466581494