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Diffstat (limited to '2510/CH17/EX17.8')
-rwxr-xr-x | 2510/CH17/EX17.8/Ex17_8.sce | 56 |
1 files changed, 56 insertions, 0 deletions
diff --git a/2510/CH17/EX17.8/Ex17_8.sce b/2510/CH17/EX17.8/Ex17_8.sce new file mode 100755 index 000000000..f06516247 --- /dev/null +++ b/2510/CH17/EX17.8/Ex17_8.sce @@ -0,0 +1,56 @@ +//Variable declaration: +h1 = 13.0 //Air-side heat transfer coefficient (W/m^2.K) +A = 1.0 //Base wall area (m^2) +L = 2.5/100 //Length of steel fins (m) +L2 = 1.5/10**3 //Length of steel wall (m) +k = 13.0 //Thermal conductivity of fin (W/m.K) +k1 = 38.0 //Thermal conductivity of steel wall (W/m.K) +h2 = 260.0 //Water side heat transfer coefficient (W/m^2.K) +T4 = 19.0 //Air temperature ( C) +T1 = 83.0 //Water temperature ( C) +t = 1.3/10**3 //Thickness of steel fins (m) +w = 1.0 //Width of wall (m) +S = 1.3/100 //Fin pitch(m) + +//Calculation: +R1 = 1/(h1*A) //Air resistance ( C/W) (part 1) +R2 = L2/(k1*A) //Conduction resistance ( C/W) +R3 = 1/(h2*A) //Water resistance ( C/W) +Rt = (R1+R3) //Total resistance ( C/W) (part 2) +Q = (T1-T4)/Rt //Total heat transfer (W) +Nf = 1/S //Number of fins (part 3) +Lbe = w - Nf*t //Unfinned exposed base surface +Abe = w*Lbe //Exposed base surface area (m^2) +Lc = L+t/2 //Corrected length (m) +Ap = Lc*t //Profile area (m^2) +Af = 2*w*Lc //Fin surface area (m^2) +Bi = h1*(t/2)/k1 //Biot number +a = sqrt(Lc**3*h1/(k*Ap)) //Abscissa of the fin efficiency +//From figure 17.3: +nf = 0.88 //Fin efficiency +Rb = 1/(h1*Abe) //Air thermal resistance of base wall ( C/W) +Rf = 1/(h1*Nf*Af*nf) //Air thermal resistance of fins ( C/W) +RT1 = 1/(1/Rb+1/Rf) //Total outside resistance of the fin array ( C/W) +Rt3 = RT1+R3 //Total resistance on air side fins ( C/W) +Qt = (T1-T4)/Rt3 //Heat transfer rate on air side fins (W) +I = (Qt/Q - 1)*100 //Percent increase in heat transfer rate to air side fins (W) +A = sqrt(Lc**3*h2/(k1*Ap)) //Abscissa of the new fin efficiency (part 4) +//From figure 17.3: +nf2 = 38.0 //New fin efficiency +Rb2 = 1/(h2*Abe) //Thermal resistance of base wall ( C/W) +Rf2 = 1/(h2*Nf*Af*nf2) //Thermal resistance of fins ( C/W) +Rt4 = 1/(1/Rb2+1/Rf2) //Total resistance of the finned surface ( C/W) +Rt5 = R1+Rt4 //Total resistance on water side fins ( C/W) +QT1 = (T1-T4)/Rt5 //Heat transfer rate on water side fins (W) +I2 = (QT1/Q - 1)*100 //Percent increase in heat transfer rate to water side fins (W) + +//Result: +if (R2<R1 | R2<R3) then + printf("1. The conduction resistance may be neglected.") +else + printf("1. The conduction resistance can not be neglected.") +end +printf("2. The rate of heat transfer from water to air is : %.1f W .",Q) +printf("3. The percent increase in steady-state heat transfer rate by adding fins to the air side of the plane wall is : %.1f %%",I) +printf("4. The percent increase in steady-state heat transfer rate by adding fins to the water side of the plane wall is : %.1f %%",I2) +printf("____There is a calculation mistake in book in calculating Qt(83-19/0.0214 = 2999), hence slight differences in answer______") |