C17_Shell_Component_Balance_2

C17_Shell_Component_Balance_2 - Shell Component Mass/Molar...

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Shell Component Mass/Molar Balance Diffusion with a homogeneous reaction 1. Assumption: constant diffusivity; neglecting the small amount of AB; steady state; the reaction kinetics: 2. Non-zero components: N A , N B , dx A /dz, dx B /dz. 1 A A Rk c x ′′′ = 3. Writing the molar balance for component A If there is no reaction: equimolecular diffusion This is still valid for small x A and small amount of AB A AB dx NNc D dz =− Molar balance for component A at steady state 1 0 AA A zz z SN k cx S z +∆ −∆ = 2 1 2 A A dc D kc =
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Shell Component Mass/Molar Balance Diffusion with a homogeneous reaction 2 1 2 A A dc D kc dz ′′′ = 4. Boundary conditions 0 0 00 AA z A A zL cc N = = = =⇔ = 2 1 2 0 1 cosh 1 A A z kL D c L c kL D ⎛⎞ ⎜⎟ ⎝⎠ =
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Shell Component Mass/Molar Balance Diffusion in porous media
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Shell Component Mass/Molar Balance Diffusion in porous media 1.Assumption: constant effective diffusivity D e ; only diffusion accounting for the transfer of A
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C17_Shell_Component_Balance_2 - Shell Component Mass/Molar...

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