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authorpriyanka2015-06-24 15:03:17 +0530
committerpriyanka2015-06-24 15:03:17 +0530
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+clc;
+warning("off");
+printf("\n\n example14.4 - pg728");
+// given
+D=7.66*10^-5; //[m^2/sec] - diffusion coefficient of the helium nitrogen
+P=1; //[atm] - pressure
+// (a) using the Chapman-Enskog
+T(1)=323; //[K]
+T(2)=413; //[K]
+T(3)=600; //[K]
+T(4)=900; //[K]
+T(5)=1200; //[K]
+Ma=4.0026;
+sigma_a=2.551*10^-10; //[m]
+etaabykb=10.22; //[K]
+Mb=28.016;
+sigma_b=3.798*10^-10; //[m]
+etabbykb=71.4; //[K]
+sigma_ab=(1/2)*(sigma_a+sigma_b);
+etaabbykb=(etaabykb*etabbykb)^(1/2);
+Tstar=T/(etaabbykb);
+siD=[0.7205;0.6929;0.6535;0.6134;0.5865];
+patm=1;
+// using the formula Dab=1.8583*10^-27*(((T^3)*((1/Ma)+(1/Mb)))^(1/2))/(patm*sigma_ab*siD)
+Dab=(1.8583*(10^-(27))*(((T^3)*((1/Ma)+(1/Mb)))^(1/2)))/(patm*(sigma_ab^(2))*siD)
+printf("\n\n (a)");
+for i=1:5;
+ printf("\n at T=%fK;Dab=%em^2/sec",T(i),Dab(i));
+end
+// (b) using experimental diffusion coefficient and Chapman-Enskog equation
+for i=1:4
+ D(i+1)=D(1)*((T(i+1)/T(1))^(3/2))*(siD(1)/(siD(i+1)));
+end
+printf("\n\n (b)");
+for i=1:5;
+ printf("\n at T=%fK;Dab=%em^2/sec",T(i),Dab(i));
+end
+// (c)
+for i=1:4
+ Dab(i+1)=D(1)*(T(i+1)/T(1))^(1.75);
+end
+printf("\n\n (c)");
+for i=1:5;
+ printf("\n at T=%fK;Dab=%em^2/sec",T(i),Dab(i));
+end
+
+
+