diff options
Diffstat (limited to '2510/CH19/EX19.9/Ex19_9.sce')
-rwxr-xr-x | 2510/CH19/EX19.9/Ex19_9.sce | 31 |
1 files changed, 31 insertions, 0 deletions
diff --git a/2510/CH19/EX19.9/Ex19_9.sce b/2510/CH19/EX19.9/Ex19_9.sce new file mode 100755 index 000000000..f5d3d31bb --- /dev/null +++ b/2510/CH19/EX19.9/Ex19_9.sce @@ -0,0 +1,31 @@ +//Variable declaration: +h = 140 //Convention heat transfer coefficient (W/m^2.K) +D1 = 10/10**3 //Rod diameter (m) +L = 2.5 //Rod length (m) +T1 = 200 //Surface temperature of rod ( C) +T2 = 25 //Fluid temperature ( C) +k = 1.4 //Thermal conductivity of bakellite (W/m.K) +l = 55/10**3 //Insulation thickness (m) + +//Calculation: +Q1 = h*%pi*D1*L*(T1-T2) //Rate of heat transfer for the bare rod (W) (part 1) +Bi = 2 //Critical Biot number (part 2) +D2 = Bi*k/h //Critical diameter associated with the bakelite coating (m) +r2 = D2/2 //Critical radius associated with the bakelite coating (m) +r1 = D1/2 //Rod radius (m) +R1 = log(r2/r1)/(2*%pi*k*L) //Insulation conduction resistance ( C/W) +R2 = 1/(h*(2*%pi*r2*L)) //Convection thermal resistance ( C/W) +Rt1 = R1+R2 //Total thermal resistance ( C/W) +Qc = (T1-T2)/Rt1 //Heat transfer rate at the critical radius (W) +r3 = r1+l //New radius associated with the bakelite coating after insulation (m) (part 3) +R3 = log(r3/r1)/(2*%pi*k*L) //Insulation conduction bakelite resistance ( C/W) +R4 = 1/(h*(2*%pi*r3*L)) //Convection bakelite thermal resistance ( C/W) +Rt2 = R3+R4 //Total bakelite thermal resistance ( C/W) +Q2 = (T1-T2)/Rt2 //Heat transfer rate at the bakelite critical radius (W) +Re = ((Q1-Q2)/Q1)*100 //Percent reduction in heat transfer rate relative to the case of a bare rod (%) + +//Result: +printf("1. The rate of heat transfer for the bare rod is : %0.f W .",Q1) +printf("2. The critical radius associated with the bakelite coating is : %.0f mm.",r2*10**3) +printf(" & the heat transfer rate at the critical radius is : %.0f W .",Qc) +printf("3. The fractional reduction in heat transfer rate relative to the case of a bare rod is : %.1f ",Re) |