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SECTION:NAME:CBE 320December 5, 2011Transport PhenomenaExam IIIPart A: Short Answer1.(5 pts.) An energy term for a heat transfer problem is given byE=wˆCpΔT+wgΔhGivenw= 2000lbm/hr,ˆCp= 1.0Btu/lbm·◦F,ΔT= 25◦C,g= 9.8m/s2,Δh= 100ft, calculateEin SI units. Additional information:
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2.(5 pts.)Consider highly turbulent flow in a long tube (radiusR, lengthL) where both the walltemperatureT0and the bulk fluid temperatureTbdepend on the axial positionz. Given the thermalconductivity and instantaneous temperature profileT(r, θ, z, t), write an integral for the rate of energytransport to the fluid from the wall.3.(5 pts.) Sketch the thermal conductivity for water at atmospheric pressure as a function of temperatureon the graph below.2
4.(5 pts.) The following equation was given in BSL for the conservation of energy:ρˆCpDTDt=-∇ ·q-τ:∇v-parenleftBigg∂lnρ∂lnTparenrightBiggpDpDt.whereq=-k∇T. What is the correct form of the energy equation for a stationary solid with constantρandk?5.(5 pts) An initially room temperature egg is to be hard-boiled in a pot of boiling water at 100◦C.