19.1 10 SLE oz 19.1-22. Diffusion and Heterogeneous Reaction on a Surface. In a tube of radius R m filled with a liquid, dilute component A is diffusing in the nonflowing liquid phase repre- sented by 16 be A828 XUh She lE SE dc NA=-DAB 35 00 A АВ dz where z is distance along the tube axis. The inside wall of the tube exerts a catalytic effect and decomposes A so that the heterogeneous rate of decomposition on the wall in kg mol A/s is equal to kc Aw, where k is a first-order constant and Ay is the wall area in m2. Neglect any radial gradients (this means a uniform radial concentration). Derive the differential equation for unsteady state for diffusion and reaction for this system. [Hint: First make a mass balance for A for a Az length of tube as fol- lows: rate of input (diffusion) +rate of generation (heterogeneous) rate of outpur (diffusion)+ rate of accumulation.] sds a'сА 2k дс А A = D Ans. A R az3 АВ OTOt 19.2-1.
19.1 10 SLE oz 19.1-22. Diffusion and Heterogeneous Reaction on a Surface. In a tube of radius R m filled with a liquid, dilute component A is diffusing in the nonflowing liquid phase repre- sented by 16 be A828 XUh She lE SE dc NA=-DAB 35 00 A АВ dz where z is distance along the tube axis. The inside wall of the tube exerts a catalytic effect and decomposes A so that the heterogeneous rate of decomposition on the wall in kg mol A/s is equal to kc Aw, where k is a first-order constant and Ay is the wall area in m2. Neglect any radial gradients (this means a uniform radial concentration). Derive the differential equation for unsteady state for diffusion and reaction for this system. [Hint: First make a mass balance for A for a Az length of tube as fol- lows: rate of input (diffusion) +rate of generation (heterogeneous) rate of outpur (diffusion)+ rate of accumulation.] sds a'сА 2k дс А A = D Ans. A R az3 АВ OTOt 19.2-1.
Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)
8th Edition
ISBN:9781305387102
Author:Kreith, Frank; Manglik, Raj M.
Publisher:Kreith, Frank; Manglik, Raj M.
Chapter9: Heat Transfer With Phase Change
Section: Chapter Questions
Problem 9.29P
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