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Diffstat (limited to '2510/CH19/EX19.10/Ex19_10.sce')
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diff --git a/2510/CH19/EX19.10/Ex19_10.sce b/2510/CH19/EX19.10/Ex19_10.sce new file mode 100755 index 000000000..fe576f6e6 --- /dev/null +++ b/2510/CH19/EX19.10/Ex19_10.sce @@ -0,0 +1,45 @@ +//Variable declaration: +r1 = 1.1/100 //Inside radius of %pipe (m) +r2 = 1.3/100 //Outside radius of %pipe (m) +r3 = 3.8/100 //Outside radius of asbestos insulation (m) +L = 1 //Length of tube (m) +h1 = 190 //Heat transfer coefficient from ethylene glycol to the stainless steel %pipe (W/m^2.K) +k2 = 19 //Thermal conductivity of %pipe (W/m.K) +h2 = 14 //Outside heat transfer coefficient from the air to the surface of the insulation (W/m^2.K) +k3 = 0.2 //Thermal conductivity of asbestos (W/m.K) +T1 = 124 //Hot ethylene glycol temperature ( C) +T5 = 2 //Surrounding air temperature ( C) +k4 = 0.0242 //Thermal conductivity of air (W/m.K) + +//Calculation: +A1 = 2*%pi*r1*L //Inside surface area of %pipe (m^2) (part1) +A2 = 2*%pi*r2*L //Outside surface area of %pipe (m^2) +A3 = 2*%pi*r3*L //Outside surface area of asbestos insulation (m^2) +R1 = 1/(h1*A1) //Inside convection resistance ( C/W) +R2 = log(r2/r1)/(2*%pi*k2*L) //Conduction resistance through the tube ( C/W) +R3 = 1/(h2*A2) //Outside convection resistance ( C/W) +Rt1 = R1+R2+R3 //Total resistance without insulation ( C/W) +Q1 = (T1 - T5)/Rt1 //Heat transfer rate without insulation (W) +R4 = log(r3/r2)/(2*%pi*k3*L) //Conduction resistance associated with the insulation ( C/W) (part 2) +R5 = 1/(h2*A3) //Outside convection resistance ( C/W) +Rt2 = R1+R2+R4+R5 //Total rsistance with the insulation ( C/W) +Q2 = (T1-T5)/Rt2 //Heat transfer rate with the insulation (W) +U1 = 1/(Rt2*A1) //Overall heat transfer coefficient based on the inside area (W/m^2.K) (part 3) +U3 = 1/(Rt2*A3) //Overall heat transfer coefficient based on the outside area (W/m^2.K) (part 4) +T3 = T1-(R1+R2)*Q2 //Temperature at the steelu2013insulation interface ( C) (part 5) +Bi1 = h2*(2*r3)/k3 //Outside Biot number (part 6) +Bi2 = h1*(2*r1)/k2 //Inside Biot number +Nu = h1*(2*r1)/k4 //Nusselt number of the air +rlm = (r3-r2)/log(r3/r2) //Log mean radius of the insulation (m) (part 7) + +//Result: +printf("1. The rate of heat transfer without insulation is : %.1f W.",Q1) +printf("2. The rate of heat transfer with insulation is : %.1f W.",Q2) +printf("3. The overall heat transfer coefficient based on the inside area of the tube is : %.2f W/m^2.K .",U1) +printf("4. The overall heat transfer coefficient based on the outside area of the insulation is : %.1f W/m^2.K .",U3) +printf("5. The temperature, T3, at the steelu2013insulation interface is : %.1f C.",T3) +printf("6. The inside Biot numbers is : %.2f",Bi2) +printf(" The outside Biot numbers is : %.2f",Bi1) +printf(" The Nusselt number is : %.1f",Nu) +printf("7. The log mean radius of insulation is : %.2f cm.",rlm*100) +printf("There is a printing mistake in book for unit in part 7.") |