clear; clc; // Illustration 12.3 // Page: 671 printf('Illustration 12.3 - Page: 671\n\n'); // Solution // ***Data***// SsByA = 40; x1 = 0.25;// [moisture fraction] x2 = 0.06;// [moisture fraction] //***********// X1 = x1/(1-x1);// [kg moisture/kg dry solid] X2 = x2/(1-x2);// [kg moisture/kg dry solid] // Fig. 12.10 (Pg 668) indicates that both constant and falling rate periods are involved. // Constant Rate period: // From Fig. 12.10 (Pg 668): Xc = 0.200;// [kg moisture/kg dry solid] Nc = 0.3*10^(-3);// [kg/square m.s] // From Eqn. 12.4: thetha1 = SsByA*(X1-Xc)/Nc;// [s] // Falling Rate Period: // From Fig. 12.10 (Pg 668): // Data=[x N*10^3] Data = [0.2 0.3;0.18 0.266;0.16 0.239;0.14 0.208;0.12 0.180;0.10 0.150;0.09 0.097;0.08 0.070;0.07 0.043;0.064 0.025]; Val = zeros(10); // Val=[(1/N)*10^(-3)] for i = 1:10 Val(i) = 1/Data(i,2); end scf(40); plot(Data(:,1),Val); xgrid(); xlabel("x [kg moisture / kg dry solid]"); ylabel("10^(-3) / N"); title("Graphical Integration Falling Rate Period"); // Area under the curve: Area = 1060; // From Eqn. 12.3: thetha2 = SsByA*Area;// [s] thetha = thetha1+thetha2;// [s] printf("Total Drying Time: %f h\n",thetha/3600);