From b1f5c3f8d6671b4331cef1dcebdf63b7a43a3a2b Mon Sep 17 00:00:00 2001
From: priyanka
Date: Wed, 24 Jun 2015 15:03:17 +0530
Subject: initial commit / add all books

---
 839/CH29/EX29.2/Example_29_2.sce | 74 ++++++++++++++++++++++++++++++++++++++++
 1 file changed, 74 insertions(+)
 create mode 100755 839/CH29/EX29.2/Example_29_2.sce

(limited to '839/CH29/EX29.2/Example_29_2.sce')

diff --git a/839/CH29/EX29.2/Example_29_2.sce b/839/CH29/EX29.2/Example_29_2.sce
new file mode 100755
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+++ b/839/CH29/EX29.2/Example_29_2.sce
@@ -0,0 +1,74 @@
+//clear//
+clear;
+clc;
+
+//Example 29.2
+//Given
+n = 1:7;
+beeta = 1.3;
+//From Table 29.2
+Dpn = [3.327,2.362,1.651,1.168,0.833,0.589,0.417]'; //[mm]
+Dpu = Dpn; //[mm]
+xn0 = [0.0251,0.125,0.3207,0.2570,0.1590,0.0538,0.0210]';
+Su(1) = 10*10^-4; //[s^-1]
+//B(1) = 1;
+//Solution 
+
+//(a)
+//For the 4/6-mesh materials there is no input from coarser
+//material and applying Eq.(29.11). At the end of time tT
+x1 = xn0(1)*0.9;
+tT = 1/Su(1)*log(xn0(1)/x1); //[s]
+disp('s',tT,'Required time is');
+
+//(b)
+
+//Assuming Su varies with Dp^3
+for i = 1:length(Dpn)-1
+  Su(i+1) = Su(i)*(Dpn(i+1)/Dpn(i))^3; //[s^-1]
+end
+for i = 1:length(Dpn)
+  for j = 1:length(Dpu)    
+//Using Eq.(29.13)
+    if (j<i)
+      B(i,j)=0;
+    else
+      B(i,j) = (Dpn(j)/Dpn(i))^beeta;
+    end    
+end
+end
+
+for i = 1:length(Dpn)-1
+  for j = 1:length(Dpu)-1
+    if (j<i)
+      delta_B(i,j)=0;
+      else
+      delta_B(i,j) = B(i,j)-B(i,j+1);
+    end   
+  end
+end
+disp(delta_B,'individual breakage functions');
+
+//(c)
+deltaT = 30; //[s] 
+//Using Eq.(29.15)
+x=[];
+x(:,1) = xn0;
+for n = 1:length(xn0)
+    for t = 1:720
+    if (n==1)
+      x(n,t+1) = x(n,t)*(1-Su(n)*deltaT);
+    else
+      x(n,t+1) = x(n,t)*(1-Su(n)*deltaT)+ deltaT*Su(n-1)*delta_B(n-1,n-1)*x(n-1,t);
+    end
+  end
+end
+time = linspace(0,6,721);
+for i =1:length(xn0)
+  plot2d(time,x(i,:),style = i);
+  xgrid();
+  xlabel('time (h)');
+  ylabel('mass fraction (xa)');
+  title('Mass fractions');
+  legend('x1','x2','x3','x4','x5','x6','x7');
+end
-- 
cgit