C18_Time_Dependent___2D_Component_Transfer_1

C18_Time_Dependent_ - Time Dependent 2D Component Transfer Component mass/molar balance for homogeneous media Mass/moles Influx of A Mass/moles

Info iconThis preview shows pages 1–4. Sign up to view the full content.

View Full Document Right Arrow Icon
() ( ) ( ) xx y y zz xx x zz z yy yy y yzn n xzn n xyn n αα α = = +Δ = == + Δ ΔΔ +ΔΔ Time Dependent & 2D Component Transfer Component mass/molar balance for homogeneous media Chemical reaction Mass influx of A (inward arrows) Mass outflux of A (outward arrows) Total mass flux of A Mass/moles Influx of A Mass/moles outflux of A Mass/mole accumulation 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 , ii i i i nu D u D x x ω ρ ρω =− Rate of conversion of A due to chemical reactions per unit volume r Mass balance of α over a rectangular volume element Total net mass flux Converting the balance into a partial differential form Rate of conversion xyz t ΔΔΔ Mass accumulation . y xz n nn rr tx y z ⎛⎞ ∂∂ + + + ≡−∇ + ⎜⎟ ⎝⎠ n rx y z Δ z x y 1,2,3,. .., N =
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Time Dependent & 2D Component Transfer Component mass/molar balance for homogeneous media Adding up N equations () ( ) ( ) 11 .. . NN t αα α ρ ωρ == ⎡⎤ =− ∇= = ⎢⎥ ⎣⎦ ∑∑ nu u For molar balance . c R t = −∇ + N * 1 . N c cR t = =− ∇ + u For constant c and ρ Adding up N equations [] 1 1 * * 1 . N N x cx R x R t R c = = ⎛⎞ +∇ = + ⎜⎟ uj u [] () . .0 . r t ω ρω + + ⎝⎠ =⇒ u . 1,2,3,. .., y xz n nn rr tx y z N ∂∂ + + + ≡−∇ + = n * = + Nu J
Background image of page 2
Time Dependent & 2D Component Transfer Dimensionless analysis of component balances without reaction
Background image of page 3

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Image of page 4
This is the end of the preview. Sign up to access the rest of the document.

This note was uploaded on 09/01/2011 for the course PGE 312 taught by Professor Peters during the Fall '08 term at University of Texas at Austin.

Page1 / 8

C18_Time_Dependent_ - Time Dependent 2D Component Transfer Component mass/molar balance for homogeneous media Mass/moles Influx of A Mass/moles

This preview shows document pages 1 - 4. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online