5.(5 pts.) A material (A) is diffusing (no convection) into a porous cylinder (radiusR, lengthL) from aflowing fluid (B). The concentration of speciesAwithin the fluidiscA(r, θ, z, t), and the diffusivitywithin the fluid isDAB.Using this information, write an integral expression for the total rate oftransport of speciesAfrom the fluid into the cylinder (molesA/time).You may assume thatAis dilute so that the total concentration is constant, and that transport at the cylinder ends may beneglected.6.(5 pts.) The mean Nusselt number for forced convection past a sphere is given byNum=hmDk= 2 + 0.60parenleftBiggDv∞ρμparenrightBigg1/2parenleftBigghatwideCpμkparenrightBigg1/3.(1)
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