X7.714Dm$@�{EES solution for ME 146 homework 2} {This is set up to solve using the parametric tables.} Volflow=2.5*10^(-3) Volbypass=fractionbypass*Volflow Volheatsink=(1-fractionbypass)*Volflow velocityheatsink=Volheatsink/numberchannels/Achannel numberchannels=6 Achannel=channelheight*channelwidth channelwidth=5/1000 channelheight=25/1000 Aduct=ductwidth*ductheight ductheight=(10/1000) ductwidth=channelwidth*numberchannels+finwidth*numberfins finwidth=1/1000 numberfins=7 velocityduct=volbypass/Aduct Reheatsink=velocityheatsink*Density(Air,T=T_1,P=P_1)*dh/Viscosity(Air,T=T_1) T_1=30 P_1=101 dh=4*Achannel/Perimeterchannel Perimeterchannel=2*channelheight+2*channelwidth entrance=channellength/dh*Reheatsink*10^(-3) fheatsink=kheatsink*64/Reheatsink kheatsink=1.5 {estimated from developing flow chart} Reduct=velocityduct*Density(Air,T=T_1,P=P_1)*dhduct/Viscosity(Air,T=T_1) dhduct=4*Aduct/ductperimeter ductperimeter=2*ductheight+2*ductwidth entranceduct=channellength/dhduct*Reduct*10^(-3) kduct=1.15 fduct=kduct*64/Reduct Rheatsink=(numberchannels*(fheatsink*channellength/dh*Density(Air,T=T_1,P=P_1)/2/Achannel^2)^(-0.5))^(-2) Rduct=fduct*channellength/dhduct*Density(Air,T=T_1,P=P_1)/2/Aduct^2 channellength=0.08 deltaP=((1/Rheatsink^0.5+1/Rduct^0.5)^(-2))*Volflow^2 Volbypassnew=(deltaP/Rduct)^0.5 fractionbypassnew=Volbypassnew/Volflow {check out the parameteric tables; at fractionbypass of 0.70, the program has converged. You can also get EES to solve for the fractionbypass directly if you have good initial guesses. 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