diff options
Diffstat (limited to '797/CH8/EX8.7.s/8_07_solution.sce')
-rw-r--r-- | 797/CH8/EX8.7.s/8_07_solution.sce | 43 |
1 files changed, 43 insertions, 0 deletions
diff --git a/797/CH8/EX8.7.s/8_07_solution.sce b/797/CH8/EX8.7.s/8_07_solution.sce new file mode 100644 index 000000000..dc7b8226b --- /dev/null +++ b/797/CH8/EX8.7.s/8_07_solution.sce @@ -0,0 +1,43 @@ +//Solution 8-07 +WD=get_absolute_file_path('8_07_solution.sce'); +datafile=WD+filesep()+'8_07_example.sci'; +clc; +exec(datafile) +function [Z] = equations(X) + Vdot = X(1); + Vdot_1 = X(2); + Vdot_2 = X(3); + V_1 = X(4); + V_2 = X(5); + h_L = X(6); + h_L1 = X(7); + h_L2 = X(8); + h_pump = X(9); + Re_1 = X(10); + Re_2 = X(11); + f_1 = X(12); + f_2 = X(13); + Z(1) = Wdot_elect - rho * Vdot * g * h_pump / (eta / 100); + Z(2) = h_pump - (z_B - z_A) - h_L; + Z(3) = h_L - h_L1; + Z(4) = h_L1 - h_L2; + Z(5) = V_1 - Vdot_1 / (%pi / 4 * D_1**2); + Z(6) = V_2 - Vdot_2 / (%pi / 4 * D_2**2); + Z(7) = Re_1 - rho * V_1 * D_1 / mu; + Z(8) = Re_2 - rho * V_2 * D_2 / mu; + Z(9) = 1 / sqrt(f_1) + 2.0 * log10(epsilon / D_1 / 3.7 + 2.51 / Re_1 / sqrt(f_1)); + Z(10) = 1 / sqrt(f_2) + 2.0 * log10(epsilon / D_2 / 3.7 + 2.51 / Re_2 / sqrt(f_2)); + Z(11) = h_L1 - f_1 * L_1 * V_1**2 / (2 * g * D_1); + Z(12) = h_L2 - f_2 * L_2 * V_2**2 / (2 * g * D_2); + Z(13) = Vdot - (Vdot_1 + Vdot_2); +endfunction +//unit conversions +D_1 = D_1 / 100; //[cm] to [m] +D_2 = D_2 / 100; //[cm] to [m] +[X, v, info] = fsolve([1e-2;1e-2;1e-2;1;1;10;10;10;20;1e5;1e5;0.02;0.02], equations); +Vdot = X(1); +Vdot_1 = X(2); +Vdot_2 = X(3); +printf("Flow rate between the reservoirs is %1.4f m^3/s", Vdot); +printf("\nFlow rate in pipe 1 is %1.5f m^3/s", Vdot_1); +printf("\nFlow rate in pipe 2 is %1.4f m^3/s", Vdot_2);
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