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diff --git a/587/CH1/EX1.11/example1_11.sce b/587/CH1/EX1.11/example1_11.sce new file mode 100755 index 000000000..4e1a2ca97 --- /dev/null +++ b/587/CH1/EX1.11/example1_11.sce @@ -0,0 +1,36 @@ +clear;
+clc;
+
+//Example1.11[Heat transfer between two Isothermal Plates]
+//Given:-
+T1=300,T2=200;//Temperatures of two large parallel isothermal plates[K]
+L=0.01;//distance between both plates[m]
+e=1;//Emissivity of plates
+A=1;//Surface area of plates[m^2]
+T_avg=(T1+T2)/2;//Average temperature[K]
+sigma=5.67*(10^(-8));//Stefan's constant[W/m^2.K^4]
+//Solution (a)[space between plates is filled with air]
+k_air=0.0219;//The thermal conductivity of aair at the average temperature[W/m.K]
+Q_cond=k_air*A*(T1-T2)/L;//[W]
+Q_rad=e*sigma*A*((T1^4)-(T2^4));//[W]
+disp("W",round(Q_rad),"and",Q_cond,"The rates of conduction and radiation heat transfer between the plates through the air layer are respectively")
+Q_total_a=Q_cond+Q_rad;//[W]
+disp("W",round(Q_total_a),"Net rate of heat transfer is")
+disp("The heat transfer rate in reality will be higher because of the natural convection currents that are likely to occur in the air space between the plates")
+//Solution (b)[space between the plates is evacutaed]
+disp("when the air space b/w the plates is evacuted there is no conduction or convection,and the only heat transfer between the plates will be by radiation. ")
+disp("Therefore")
+Q_total_b=Q_rad;//[W]
+disp("W",round(Q_total_b),"Net rate of heat transfer is")
+//Solution (c)[space between the plates is filled with urethane insulation]
+k_insu=0.026;//At average temperature thermal conductivity of urethane insulation [W/m.K]
+disp("An opaque solid material placed b/w the two plates blocks direct radiation heat transfer between the plates")
+Q_cond_c=k_insu*A*(T1-T2)/L;//[W]
+Q_total_c=Q_cond_c;//[W]
+disp("W",round(Q_total_c),"The net rate of heat transfer through the urethane insulation is")
+//Solution (d)[the distance between the plates is filled with superinsulation]
+k_super=0.00002;//At average temperature thermal conductvity of superinsulation[W/m.K]
+disp("The layers of superinsulation prevent any direct radiation heat transfer between the plates")
+Q_cond_d=k_super*A*(T1-T2)/L;//[W]
+Q_total_d=Q_cond_d;//[W]
+disp("W",Q_total_d,"The net rate of heat transfer through the layer of superinsulation is")
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