clear; clc; disp('Example .10'); // aim : To determine // (a) the mass of steam entering the heater // (b) the mass of water entering the heater // Given values x = .95;// Dryness fraction P = .7;// pressure,[MN/m^2] d = 25;// internal diameter of heater,[mm] C = 12; // steam velocity in the pipe,[m/s] // solution // from steam table at .7 MN/m^2 pressure hf = 697.1;// [kJ/kg] hfg = 2064.9;// [kJ/kg] hg = 2762.0; // [kJ/kg] vg = .273; // [m^3/kg] // (a) v = x*vg; // [m^3/kg] ms_dot = %pi*(d*10^-3)^2*C*3600/(4*v);// mass of steam entering, [kg/h] mprintf('\n (a) The mass of steam entering the heater is = %f kg/h \n',ms_dot); // (b) h = hf+x*hfg;// specific enthalpy of steam entering heater,[kJ/kg] // again from steam tables hf1 = 376.8;// [kJ/kg] at 90 C hf2 = 79.8;// [kJ/kg] at 19 C // using energy balance,mw_dot*(hf1-hf2)=ms_dot*(h-hf1) mw_dot = ms_dot*(h-hf1)/(hf1-hf2);// mass of water entering to heater,[kg/h] mprintf('\n (b) The mass of water entering the heater is = %f kg/h \n',mw_dot); // End