Solution_HW9

# Solution_HW9 - Homework Set#9 with solutions Problem 1...

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Homework Set #9: with solutions Problem # 1: Recall the example of evaporation of component A contained in a test tube. (a) By neglecting the convective flux of component A, show that this leads to () 1 12 21 AA zz cD Nx = =− A x (b) What error (in percentage) is made in the determination of D in the example 18.2-2 in BSL if the result in (a) is used? Answer: a. Without the convection term, the total molar flux of A is equal to the diffusion flux of A. For steady state ` Since c and D are constant, thus ( ) . A x x dx const dz z z == Therefore, 1 cD = A x b. Error in the determination of D in the example 18.2-2 To get the solution of Example 18.2-2 by using the result in (a), we make the following calculation with the help of the equation of state for an ideal gas. ( )( )( )( ) ( ) 9 2 7.26 10 82.06 273 17.1 0.0641 / / / 755/760 33/755 0 Az Az NR T N Dc c dx dz p dx dz × = = −− ⎡⎤ ⎣⎦ m s Hence the error is % 79 . 0 100 0636 . 0 0636 . 0 0641 . 0 = ×

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Problem # 2: It is desired to alter the wettability of a formation from the initial oil wet to the water wet because the relative permeability to oil is significantly higher for more water-wet rock. One of
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## This note was uploaded on 02/26/2009 for the course PGE 322K taught by Professor Dicarlo during the Spring '08 term at University of Texas.

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Solution_HW9 - Homework Set#9 with solutions Problem 1...

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