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authorpriyanka2015-06-24 15:03:17 +0530
committerpriyanka2015-06-24 15:03:17 +0530
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initial commit / add all books
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-rwxr-xr-x3250/CH2/EX2.7/Ex2_7.txt4
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+clc
+// Given that
+thetaF= 1540 // Temperature of mould face in degree centigrade
+thetaO = 28 // Initial temperature of mould in Degree centigrade
+L= 272e3 // Latent heat of iron in J/Kg
+Dm = 7850 // Density of iron in Kg/m^3
+Cs = 0.67e+3 //Specific heat of iron in J/Kg-K
+C = 0.376e3 //Specific heat of copper in J/Kg-K
+Ks = 83 // Conductivity of iron in W/m-K
+K = 398 // Conductivity of copper in W/m-K
+D= 8960 // Density of copper in Kg/m^3
+h = .1 // Height in m
+hF = 1420 // Total heat transfer coefficient across the casting-mould interface in W/m^2-°C
+// Sample Problem 7 on page no. 75
+printf("\n # PROBLEM 2.7 # \n")
+AlphaS = K /(D*C)
+thetaS = 982 //In °C as in example 2.6
+h1= (1+(sqrt((Ks*Dm*Cs)/(K*D*C))))*hF
+a = 1/2 + (sqrt((1/4)+Cs*(thetaF-thetaS)/(3*L)))
+delta=h/2
+ts = (delta+((h1*delta^2)/(2*Ks)))/((h1*(thetaF-thetaS))/(Dm*L*a)) // in sec
+ts_ = ts/3600 // in hours
+h2= (1+(sqrt((K*D*C)/(Ks*Dm*Cs))))*hF
+gama= ((h2^2)/(K^2))*AlphaS*ts
+thetaS_ = thetaO + (thetaS-thetaO)*(1-((exp(gama))*(1-(erf(sqrt(gama))))))
+printf("\n Solidification time = %f hr,\n The surface temperature of the mould = %f ° C", ts_,thetaS_)
+// The value of the surface temperature of the mould in the book is given as 658.1° C, Which is wrong.
diff --git a/3250/CH2/EX2.7/Ex2_7.txt b/3250/CH2/EX2.7/Ex2_7.txt
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+ # PROBLEM 2.7 #
+
+ Solidification time = 0.053443 hr,
+ The surface temperature of the mould = 672.151154 ° C \ No newline at end of file