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diff --git a/2705/CH4/EX4.13/Ex4_13.sce b/2705/CH4/EX4.13/Ex4_13.sce new file mode 100755 index 000000000..108099539 --- /dev/null +++ b/2705/CH4/EX4.13/Ex4_13.sce @@ -0,0 +1,65 @@ +clear;
+clc;
+disp('Example 4.13');
+
+// aim : To determine
+// the dryness fraction of steam
+// and the internal diameter of the pipe
+
+// Given values
+
+// steam1
+P1 = 2;// pressure before throttling, [MN/m^2]
+t = 300;// temperature,[C]
+ms1_dot = 2;// steam flow rate, [kg/s]
+P2 = 800;// pressure after throttling, [kN/m^2]
+
+// steam2
+P = 800;// pressure, [N/m^2]
+x2 = .9;// dryness fraction
+ms2_dot = 5; // [kg/s]
+
+// solution
+// (a)
+// from steam table specific enthalpy of steam1 before throttling is
+hf1 = 3025;// [kJ/kg]
+// for throttling process specific enthalpy will same so final specific enthalpy of steam1 is
+hf2 = hf1;
+// hence
+h1 = ms1_dot*hf2;// [kJ/s]
+
+// calculation of specific enthalpy of steam2
+hf2 = 720.9;// [kJ/kg]
+hfg2 = 2046.5;// [kJ/kg]
+// hence
+h2 = hf2+x2*hfg2;// specific enthalpy, [kJ/kg]
+h2 = ms2_dot*h2;// total enthalpy, [kJ/s]
+
+// after mixing
+m_dot = ms1_dot+ms2_dot;// total mass of mixture,[kg/s]
+h = h1+h2;// Total enthalpy of the mixture,[kJ/s]
+h = h/7;// [kJ/kg]
+
+// At pressure 800 N/m^2
+hf = 720.9;// [kJ/kg]
+hfg = 2046.5;// [kJ/kg]
+// so total enthalpy is,hf+x*hfg, where x is dryness fraction of mixture and which is equal to h
+// hence
+x = (h-hf)/hfg;// dryness fraction after mixing
+mprintf('\n (a) The condition of the resulting mixture is dry with dryness fraction = %f \n',x);
+
+// (b)
+// Given
+C = 15;// velocity, [m/s]
+// from steam table
+v = .1255;// [m^/kg]
+A = ms1_dot*v/C;// area, [m^2]
+// using ms1_dot = A*C/v, where A is cross section area in m^2 and
+// A = %pi*d^2/4, where d is diameter of the pipe
+
+// calculation of d
+d = sqrt(4*A/%pi); // diameter, [m]
+
+mprintf('\n (b) The internal diameter of the pipe is = %f mm \n',d*1000);
+
+// End
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