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This problem consists of two parts. In Part A there is an homogeneous reaction within the fluid. ThePART B ( 2 0 POINTS ) Steadv

This problem consists of two parts. In Part A there is an homogeneous reaction within the fluid. ThePART B (20 POINTS)
Steadv linear velocitv nrofile
Starting at x=0
Now repeat Part A with the important difference that the homogeneous reaction in the fluid there is replaced by a surface reaction at the inside the walls, forming Species i, at a constant rate of Ri moles im2s Answer the following questions. Note that the fluid is now no longer reacting homogeneously. Reactions occur only at the wall surface and the product, Ci diffuses into the fluid.
IV Write down the species balance equation with the appropriate boundary conditions. (10)
V Scale appropriate variables, non-dimensionalize and derive an expression for the characteristic concentration difference, and the characteristic length in the x-direction. Interpret this length physically.
DO NOT SOLVE THE EQUATION
reaction creates species at a constant rate Ri, moles im3s. The walls catalytically destroy species i
infinitely rapidly.
In Part B there is no homogeneous reaction, but there is a surface reaction at the inside walls s creating
species i at a constant rate of Ri(surface) moles im2s. Specie i then diffuses into the fluid. For both Parts
A and B assume (pseudo ) binary diffusion because species i is very dilute.
PART A (40 POINTS)
A reacting incompressible fluid flows between two parallel flat plates. The bottom plate moves with velocity V. The
top plate is stationary. A developing concentration profile of, say species i is formed within the fluid by a constant
volumetric reaction rate Ri moles ?m3s. At x=0 the volumetric reaction source is turned on. For x0 there is NO
reaction. The walls destroy the species i extremely rapidly. A concentration profile, Ci(x,y) develops, due to the
volumetric reaction source. There is no imposed pressure drop - motion is caused by the bottom sliding plate.. The
concentration at x=0 is C0. Assume there is a steady state, unless you conclude there is not. Then explain. Assume
pseudo-binary diffusion, constant total molar concentration, incompressible fluid etc.
Steadv linear velocitv profile
Walls destroy species i infinitely rapidly
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