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Quiz+4+09+with+key - PTFE 3210 QUIZ#4 Spring 2009 Problem...

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Unformatted text preview: PTFE 3210 QUIZ #4 Spring 2009 Problem Maximum Score Score 7 1 10 2 20 3 20 4 50 Total 100 Name @g, 2% S“ FIFE 3210 Spring 2989 KEY Quiz #4 1. Write the fate equation (Fiek’s law) for molar diffusion of species A in a binary mixture of A and B measured relative to coordinates that move With the average velocity of the mixture and define all terms used in your expression. (10 points) ‘ .7), * (kmelfs ' m2) is the diffilsive molar flux of species A measured relative to coordinates that move with the exterage velocity of the mixture. C is the total 131013? concentratien. ' 124333 the binary difiusion coefficient or mass eiffixsivity. V is the del operator, xA is the molar fiaetion of species A. Gradino 5 points for the equation 1 point each for defining; symbols 2. Darcy’s equation describing flow through a porous medium is given below: dp/dx = - (iifk) (Jim (4 points) (1 points each for total 01'4 points) dpde = pres-Sure gradient in the fluid in the direction of flow H k = viscosity of the Newtonian fluid = permeability of the solid matrix :3 = apparent velocity A. Develop a relationship for the mass flow rate, m , in terms the known quantities. 12 Points 3. By definition, heat exchanger effectiveness, E, is defined as i | it: : Clactual I Qmax A heat exchanger is used to heat a cold stream. The following information concerning the hot and cold streams is known: The heat capacitance rate for the hot stream, Cg, equals 1000 BTU/'(hr—“B. The heat capacitance rate for the cold stream, Cc, equals 625 BTUf(hr-°F). The input temperature of the hot stream is 250°F. The exit temperature of the hot stream is 200°F. The exit temperame of the cold stream is 80°F. Calculate 5.. and gum for the conditions given above: (20 points) ‘ Clam; r' a; 2: Vow {gm/mo?“ Hot oil is used in a single-pass cross flow heat exchanger to heat dye solution in a carpet mill. ' The mixed-flow dye solution (Cp = 1.12 BTU/ lb-°F) enters a 100°]? at a flow rate of 2250 lb/hr. The unmixed-flow oil (Cp = 0.46 BTU/ lb-°F) enters at a temperature of 500°F and a flow rate of 1370'1b/hr. The flow system produces an overall heat-transfer coefficient of 5 0 BTU] hr-fi2-°F. The exchanger surface area is 63 ftz. Determine: A. The exiting temperature of the oil. (‘16 points) B. The exiting temperature of the dye solution. (16 points) C. The rate of heat transfer. (18 points) Clearly indicate which equations and figures that you are using. Do not simply write answers. If you do not Show you work, you will not get partial creditl! 5/,Vng-1— P2455 cwm CW g 51% C. v ,, 41M USMXKEP) f 33% :4 407 )[aééégi’éa ”530*? ii”: . GE}? CM?” C” j???) 2% Lb ' (Aug/effigy 3F"? C $30,? I r" ,_.. Q30 _____3_: :2 MM) _. ...._—-——-———v 2 eMwfif’CL, fl 1‘2ng '99")! 37"? H 4/ r: 3136 4L7: “‘" NW!!! 5mm) $352 3.“??? —- S, C) WEZW 5133a 1.. f F - ‘ I g : (Cr) L/ _ WE“ Ck L lwwfimffljg) I Pray/41,5 «56 S 4:" r 2. 5‘: 4525) Jugvvflfidz§fwflgf 5“ 7? ...
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