From 7f60ea012dd2524dae921a2a35adbf7ef21f2bb6 Mon Sep 17 00:00:00 2001
From: prashantsinalkar
Date: Tue, 10 Oct 2017 12:27:19 +0530
Subject: initial commit / add all books

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 3720/CH10/EX10.6/Ex10_6.sce | 37 +++++++++++++++++++++++++++++++++++++
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+// Example 10_6
+clc;clear;
+//Given data
+// Assume (vdot/L)_1=V1,(vdot/L)_2=V2;
+V1=2.00;// m^2/s
+V2=-1.00;// m^2/s
+gamma1=1.50;// m^2/s
+x_1=0;
+y_1=1;
+x_2=1;
+y_2=-1;
+x=1.0;
+y=0;// where all spatial coordinates are in meters.
+
+//Calculation
+//From fig.10-53,The vortex is located 1 m above the point (1, 0) and vortex velocity has positive i direction
+r_vortex=1.00;// m
+V_vortex=[gamma1/(2*%pi*r_vortex) 0];// m/s
+//Similarly, the first source induces a velocity at point (1, 0) at a 45° angle from the x-axis as shown in Fig. 10–53.
+r_source1=sqrt(2);// m
+V_source1=(V1)/(2*%pi*r_source1);// Resultant vector in m/s
+theta=45;// angle between two vectors
+// Function to find the velocity vector in i and j direction from resultant vector
+ function [X]=fric(f)
+    X(1)=f(1)^2 + f(2)^2-V_source1^2; // modulus(r)=sqrt(x^2+y^2)
+    X(2)=tand(theta)*f(1)-f(2);// theta=tan^-1(y/x)
+ endfunction
+
+    f=[0.01 0.01]; // Initial guess to solve X
+    V_source1_vec=fsolve(f,fric);// m/s (Calculating friction factor)
+    
+//Finally, the second source (the sink) induces a velocity straight down i.e in the negative j direction 
+r_source2=1.00;/// m
+V_source2=[0 (V2)/(2*%pi*r_source2)];// m/s
+V=V_vortex+V_source1_vec+V_source2;//The resultant velocity in m/s
+printf('\nThe resultant velocity, V = %0.3fi %1.0fj\n',V);
+
-- 
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