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20.MassTransfer2[1]

# 20.MassTransfer2[1] - Boundary Layer Equations...

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1 Boundary Layer Equations Concentration boundary layer may form, in addition to hydrodynamic and velocity B.L.s

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2 Boundary Layer Equations For this problem, we can define a mass- transfer coefficient, similar to Newton’s law of cooling: Where j 0 = mass loss rate at y = 0 (kg/m 2 s) h m = mass transfer coefficient (m/s) C 0 = concentration at y = 0 C = concentration outside boundary layer ( 29 - = C C h j m 0 0
3 Boundary Layer Equations At y = 0, we must also satisfy Fick’s Law: Just like in heat transfer problems, for y > 0, mass distribution controlled by fluid motion, so we need velocity field (from boundary layer equations) ) 36 . 11 ( 0 0 = - = y y C D j

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4 Boundary Layer Mass Transfer Consider boundary conditions of: Where, C 0 , C are constants Same form as the Pohlhausen problem for heat transfer – replace T with C and α with D Pohlhausen solution becomes = = y C C y C C ) 38 . 11 ( 0 0 ( 29 ( 29 ) 39 . 11 ( 2 / exp 1 0 0 2 / 1 0 0 - = - - = γ β β ν ν γ d d f D x U C C y C y
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20.MassTransfer2[1] - Boundary Layer Equations...

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