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

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

() ( ) ( ) 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 =

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

View Full Document
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
Time Dependent & 2D Component Transfer Dimensionless analysis of component balances without reaction

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

View Full Document
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
Ask a homework question - tutors are online