A mass transfer operation is preceded by laminar flowof a

Chapter 8, Problem 8.129

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A mass transfer operation is preceded by laminar flowof a gaseous species B through a circular tube that issufficiently long to achieve a fully developed velocityprofile. Once the fully developed condition is reached,the gas enters a section of the tube that is wetted with aliquid film (A). The film maintains a uniform vapordensity ?A,salong the tube surface.(a) Write the differential equation and boundary condi-tions that govern the species A mass density distri-bution, ?A(x, r), for x?0.(b) What is the heat transfer analog to this problem?From this analog, write an expression for theaverage Sherwood number associated with massexchange over the region 0?x?L.(c) Beginning with application of conservation ofspecies to a differential control volume of extent, derive an expression (Equation 8.86) thatmay be used to determine the mean vapor density?A,m,oat x?L.(d) Consider conditions for which species B is air at25C and 1 atm and the liquid film consists of water,also at 25C. The flow rate is m??2.5?10?4kg/s,and the tube diameter is D?10 mm. What is themean vapor density at the tube outlet if L?1m?

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