# finals18.pdf - SECTION: NAME: CBE 320 Transport Phenomena...

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SECTION:NAME:CBE 320May 10, 2018Transport PhenomenaFinal ExamPart A: Short Answer1.(5 pts.) What are theSI unitsof the following quantities?a.nAb.JAc.ρAd.DABe.kc(mass transfer coefficient)2.(5 pts.) Write the Stefan-Boltzmann law. Provide a definition for each term.1
3.(5 pts.) Consider a pure fluid ofAmolecules at room temperature, in which the density does not vary with timeor position. Do theAmolecules diffuse? Explain.4.(5 pts.) The local Nusselt for forced convection along a flat plate can be expressedNulochlocxk= 0.332Re1/2xPr1/3where Rex=xvρ/μ, withxthe distance from the leading edge of the plate. What is the correlation for thelocal Sherwood number, Shlockx,locx/cDAB?5.(5 pts.) Data for|τyx|as a function of|dvx/dy|for a Newtonian fluid in simple shear flow are given in thefigure below. Estimate the viscosityμof this fluid.|dvx/dy|(1/s)051015200.00.51.01.52.0tyx(Pa)v yx( )2
6.(5 pts.) GasAdissolves sparingly in stagnant liquidBin a beaker. As it diffuses,Aundergoes an irreversible,first-order homogeneous reaction,A+BAB. The top of the liquid in the beaker is defined asz= 0, thebottom of the beaker is atz=L, and the cross-sectional of the beaker isS. Given the concentration profilecA(z), and using the fact that there is no convection, write an expression for the net rate of consumption ofAin terms of the concentration profile.7.(5 pts.) The mass transport of speciesAin a binary mixture ofAandBcan be written (for constantρ,DAB,and dilute inA)DcADt=DAB2cA+RA.Simplify this expression for a stagnant liquid solution.8.(5 pts.) A fluid flows past a post with rectangular cross-section (0< x < a,0< y < b). Write an integral forthexcomponent of the force exerted by the fluid on the top surface (z=constant surface).xyz3
9.(5 pts.) A three-layer composite slab consists of a metal (material “01”) with thermal conductivityk01, a ceramic(material “12”) with thermal conductivityk12, and another metal (material “23”) with thermal conductivityk23,as illustrated in the figure below. The temperature atx0isT0, and the temperature atx3isT3(< T0). Therelative magnitudes of the thermal conductivities arek12< k01< k23. On the diagram below, sketch thesteady-state temperature profileT(x)forx0< x < x3(T0andT3are already indicated on the diagram).k01k12k23Txx0x1x2x3T0T310.(5 pts.) The amount of money in your checking account depends on how much you deposit, how much you

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