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get_perf_curve_affinity.m
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function [h, q] = get_perf_curve_affinity(omega)
q_provided = [8900,
13350,
17800,
22250,
26700,
31150,
35600,
40050,
44500,
48950,
53400]; % updated
rpm_05 = [371,
484,
606,
733,
863,
995,
1128,
1262,
1396,
1531,
1667]; % updated
rpm_1 = [449,
543,
655,
775,
900,
1027,
1157,
1288,
1420,
1553,
1687]; % updated
rpm_2 = [NaN,
649,
743,
851,
967,
1088,
1212,
1338,
1466,
1595,
1726]; % updated
rpm_3 = [NaN,
747,
823,
920,
1029,
1143,
1263,
1385,
1509,
1636,
1763]; % updated
rpm_4 = [NaN,
NaN,
898,
986,
1087,
1196,
1310,
1429,
1551,
1674,
1800]; % updated
rpm_5 = [NaN,
NaN,
972,
1048,
1142,
1246,
1356,
1472,
1590,
1712,
1835]; % updated
rpm_6 = [NaN,
NaN,
1044,
1108,
1195,
1294,
1401,
1513,
1629,
1748,
1869]; % updated
rpm_7 = [NaN,
NaN,
NaN,
1167,
1247,
1341,
1444,
1553,
1666,
1783,
1902]; % updated
rpm_8 = [NaN,
NaN,
NaN,
1226,
1297,
1387,
1486,
1592,
1702,
1817,
1934]; % updated
sp = [0.5, 1, 2, 3, 4, 5, 6, 7, 8]'; % in H2O
rpm_vects = [rpm_05, rpm_1, rpm_2, rpm_3, rpm_4, rpm_5, rpm_6, rpm_7, rpm_8]';
q = zeros(length(sp), 1);
h = zeros(length(sp), 1);
conversion_omega = 0.01667; % rps / rpm
conversion_q = 0.000472; % m^3/s / cfm
conversion_A = 0.0929; % m^3 / ft^3
conversion_rho = 16.018; % kg/m^3 / lbm/ft^3
conversion_sp = 248.36; % Pa / in H2O
g_metric = 9.81; % m / s^2
in_per_m = 39.37; % in / m
K_L = 0.2;
for i = 1:length(sp)
cur_rpm_vect = rpm_vects(i, :)';
[min_value, closest_index] = min(abs(omega - cur_rpm_vect));
closest_omega = cur_rpm_vect(closest_index);
% Get closest Q
closest_q_cfm = q_provided(closest_index); % cfm
closest_q_metric = closest_q_cfm * conversion_q; % m^3 / s
% Use affinity laws to get Q at actual omega
new_q = (omega / closest_omega) * closest_q_cfm; % cfm
q(i) = new_q;
% Get closest actual head rise
A_fan_ft2 = 8.90; % ft^2
A_fan_metric = A_fan_ft2 * conversion_A; % m^2
vbar_fan_metric = closest_q_metric / A_fan_metric; % m / s
rho_air_std = 0.075; % lbm / ft^3
rho_H2O_std = 62.4; % lbm / ft^3
rho_air_metric = rho_air_std * conversion_rho; % kg / m^3
sp_inH2O = sp(i); % in H2O
sp_metric = sp_inH2O * conversion_sp; % Pa
h_a_m_air = sp_metric / (rho_air_metric * g_metric) + (1 + K_L) * ( (vbar_fan_metric)^2 / (2 * g_metric) ); % m air
h_a_in_air = h_a_m_air * in_per_m; % in air
closest_h_a_in_H2O = h_a_in_air * (rho_air_std / rho_H2O_std);
% Use affinity laws to get H at actual omega
new_h_a = (omega / closest_omega) ^ 2 * closest_h_a_in_H2O; % in H2O
h(i) = new_h_a; % in H2O
end
end