C17_Shell_Component_Balance_1

C17_Shell_Component_Balance_1 - Shell Component Mass/Molar...

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1 Shell Component Mass/Molar Balance Kinetics of chemical reactions Simple kinetics AB C + The rate at which A/B disappears or C appears may be described as For homogeneous reactions ( ) n n An AnA Rk ck c x ′′′ == Units: R [=] moles/cm 3 .s, C A [=] mole/cm 3 (concentration in the reactive solution), n is the order of the reaction, for the first order k’’’ [=] 1/s For heterogeneous reactions ( ) n n c x ′′ Units: R [=] moles/cm 2 .s, C A [=] mole/cm 3 (concentration at the surface), n is the order of the reaction, for the first order k’’ [=] cm/s
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2 Shell Component Mass/Molar Balance Component mass/molar balance for homogeneous media Mass/mole accumulation of A Mass/moles Influx of A Mass/moles outflux of A Rate of disappear/appear of A due to reactions Mass/moles Influx of A Mass/moles outflux of A Rate of disappear/appear of A due to reactions Chemical reaction Mass influx of A (inward arrows) Mass outflux of A (outward arrows) by diffusion by convection , A Ai i i JD x ω ρ =− Total flux Mass flux of component A in the i-direction A iA i uu ωρ , A A i i i nu D x ρω
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3 Shell Component Mass/Molar Balance Component mass/molar balance for homogeneous media by diffusion by convection , A Ai i i x Jc D x =− Molar flux of component A in the i-direction A iA i cx u c u Total flux , A A i i i x Nc x u c D x For binary system () ,, , A A Bi i i x Nx NN c D x =+
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4 Shell Component Mass/Molar Balance A methodology for solving component transfer problems Statement of problems 1. Define the domain boundary 2. Choose a coordinate system such that there are more vanishing terms (i.e. components of velocity, velocity gradient, temperature gradient, and forces).
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C17_Shell_Component_Balance_1 - Shell Component Mass/Molar...

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