Analisa Efisiensi Kipas dan Simulasi Kecepatan Hidrogen di Dalam Micro Channel Sel Bahan Bakar (Fuel Cell) Polymer Electrolyte Membrane Kapasitas 20W
LAMPIRAN A
33.65 05/25/2012 12:11:15:334
32.58 05/25/2012 11:55:15:320
32.70 05/25/2012 11:57:15:343
32.88 05/25/2012 11:59:15:339
33.05 05/25/2012 12:01:15:306
33.11 05/25/2012 12:03:15:337
33.29 05/25/2012 12:05:15:290
33.36 05/25/2012 12:07:15:311
33.49 05/25/2012 12:09:15:292
33.81 05/25/2012 12:13:15:300
32.20 05/25/2012 11:51:15:337
33.89 05/25/2012 12:15:15:346
33.89 05/25/2012 12:17:15:329
33.98 05/25/2012 12:19:15:348
34.11 05/25/2012 12:21:15:333
34.24 05/25/2012 12:23:15:301
34.41 05/25/2012 12:25:15:291
34.51 05/25/2012 12:27:15:341
34.53 05/25/2012 12:29:15:316
32.41 05/25/2012 11:53:15:290
32.02 05/25/2012 11:49:15:290
Suhu air pada saat hidrolisa aquadest menjadi hidrogen murni tanggal 25 Mei Time Suhu Air(
28.46 05/25/2012 11:25:15:332
o
C) 05/25/2012 11:11:15:305
27.92 05/25/2012 11:13:15:300
27.79 05/25/2012 11:15:15:335
27.76 05/25/2012 11:17:15:290
27.73 05/25/2012 11:19:15:328
27.76 05/25/2012 11:21:15:306
27.77 05/25/2012 11:23:15:330
29.09 05/25/2012 11:27:15:322
31.81 05/25/2012 11:47:15:324
29.39 05/25/2012 11:29:15:290
29.59 05/25/2012 11:31:15:298
29.92 05/25/2012 11:33:15:290
30.28 05/25/2012 11:35:15:305
30.51 05/25/2012 11:37:15:319
30.84 05/25/2012 11:39:15:320
31.19 05/25/2012 11:41:15:312
31.42 05/25/2012 11:43:15:328
31.60 05/25/2012 11:45:15:290
34.72
05/25/2012 12:31:15:340
34.39 05/25/2012 13:25:15:327
34.76 05/25/2012 13:13:15:292
34.53 05/25/2012 13:15:15:338
34.57 05/25/2012 13:17:15:290
34.56 05/25/2012 13:19:15:290
34.48 05/25/2012 13:21:15:346
34.41 05/25/2012 13:23:15:327
34.26 05/25/2012 13:27:15:323
35.02 05/25/2012 13:09:15:348
34.25 05/25/2012 13:29:15:334
34.18 05/25/2012 13:31:15:311
34.07 05/25/2012 13:33:15:290
34.05 05/25/2012 13:35:15:329
34.00 05/25/2012 13:37:15:311
33.88 05/25/2012 13:39:15:334
34.86 05/25/2012 13:11:15:318
35.08 05/25/2012 13:07:15:323
34.81 05/25/2012 12:33:15:302
35.33 05/25/2012 12:47:15:343
34.81 05/25/2012 12:35:15:322
34.96 05/25/2012 12:37:15:328
35.12 05/25/2012 12:39:15:322
35.15 05/25/2012 12:41:15:347
35.22 05/25/2012 12:43:15:297
35.26 05/25/2012 12:45:15:347
35.50 05/25/2012 12:49:15:309
35.24 05/25/2012 13:05:15:292
35.67 05/25/2012 12:51:15:323
35.48 05/25/2012 12:53:15:294
35.79 05/25/2012 12:55:15:334
36.24 05/25/2012 12:57:15:306
35.94 05/25/2012 12:59:15:290
35.70 05/25/2012 13:01:15:330
35.41 05/25/2012 13:03:15:302
33.62
LAMPIRAN B
19.80
20.53
31.95 05/26/2012 14:07:05:685
31.78
20.31
31.95 05/26/2012 14:06:35:709
31.71
20.20
31.83 05/26/2012 14:06:05:728
31.57
20.06
31.92 05/26/2012 14:05:35:725
31.59
31.76 05/26/2012 14:05:05:685
31.91 05/26/2012 14:07:35:685
31.40
19.65
31.66 05/26/2012 14:04:35:685
31.35
19.47
31.64 05/26/2012 14:04:05:689
31.39
19.17
31.66 05/26/2012 14:03:35:720
31.17
18.99
31.60 05/26/2012 14:03:05:685
31.67
20.77
18.73
31.80
31.98
23.67
32.46 05/26/2012 14:12:05:704
31.86
23.87
32.39 05/26/2012 14:11:35:727
32.16
22.83
32.28 05/26/2012 14:11:05:695
32.07
22.48
32.20 05/26/2012 14:10:35:719
22.11
31.77
32.17 05/26/2012 14:10:05:695
31.86
21.93
32.04 05/26/2012 14:09:35:701
31.69
21.74
31.91 05/26/2012 14:09:05:721
31.64
21.42
31.76 05/26/2012 14:08:35:701
31.54
21.25
32.01 05/26/2012 14:08:05:719
31.19
31.46 05/26/2012 14:02:35:691
Suhu hydrostick, stack inlet, dan stack outlet pengoperasian tanggal 26 Mei 2012 Time Hidrostik (
29.57 05/26/2012 13:55:05:687
30.25 05/26/2012 13:57:05:685
30.04
18.71
30.01 05/26/2012 13:56:35:685
29.87
19.37
29.72 05/26/2012 13:56:05:720
29.70
20.26
29.63 05/26/2012 13:55:35:691
29.51
21.84
29.37
30.23
24.36
29.42 05/26/2012 13:54:35:711
29.48
28.42
29.60 05/26/2012 13:54:05:685
29.69
31.71
C) 05/26/2012 13:53:35:700
o
C) Outlet(
o
C) Inlet(
o
18.35
30.48 05/26/2012 13:57:35:730
31.22
18.12
18.61
31.39 05/26/2012 14:02:05:711
31.01
18.71
31.32 05/26/2012 14:01:35:719
30.89
18.46
31.30 05/26/2012 14:01:05:696
30.94
18.21
31.16 05/26/2012 14:00:35:700
30.70
31.01 05/26/2012 14:00:05:698
18.03
30.69
17.96
31.02 05/26/2012 13:59:35:716
30.67
17.83
30.95 05/26/2012 13:59:05:685
30.64
17.73
30.70 05/26/2012 13:58:35:706
30.58
17.82
30.50 05/26/2012 13:58:05:724
30.42
32.42
LAMPIRAN C
34.45 05/29/2012 14:43:43:047
33.91 05/29/2012 14:35:43:049
33.91 05/29/2012 14:36:43:054
34.05 05/29/2012 14:37:43:047
34.19 05/29/2012 14:38:43:047
34.22 05/29/2012 14:39:43:104
34.28 05/29/2012 14:40:43:088
34.34 05/29/2012 14:41:43:074
34.42 05/29/2012 14:42:43:066
34.52 05/29/2012 14:44:43:101
33.80 05/29/2012 14:33:43:072
34.58 05/29/2012 14:45:43:094
34.63 05/29/2012 14:46:43:086
34.58 05/29/2012 14:47:43:063
34.64 05/29/2012 14:48:43:103
34.78 05/29/2012 14:49:43:093
34.87 05/29/2012 14:50:43:085
34.88 05/29/2012 14:51:43:075
34.95 05/29/2012 14:52:43:064
33.83 05/29/2012 14:34:43:055
33.73 05/29/2012 14:32:43:104
Suhu air pada saat hidrolisa aquadest menjadi hidrogen murni tanggal 29 Mei 2012
32.65 05/29/2012 14:20:43:094
Time Suhu Air (
o
C) 05/29/2012 14:14:43:062
32.72 05/29/2012 14:15:43:059
32.87 05/29/2012 14:16:43:100
32.83 05/29/2012 14:17:43:084
32.77 05/29/2012 14:18:43:067
32.73 05/29/2012 14:19:43:056
32.72 05/29/2012 14:21:43:084
33.67 05/29/2012 14:31:43:047
32.85 05/29/2012 14:22:43:080
32.80 05/29/2012 14:23:43:066
32.94 05/29/2012 14:24:43:078
33.09 05/29/2012 14:25:43:103
33.22 05/29/2012 14:26:43:089
33.30 05/29/2012 14:27:43:080
33.37 05/29/2012 14:28:43:084
33.45 05/29/2012 14:29:43:064
33.57 05/29/2012 14:30:43:055
34.97
05/29/2012 14:53:43:047
35.04 05/29/2012 14:54:43:101
35.07 05/29/2012 14:55:43:047
35.15 05/29/2012 14:56:43:088
35.18 05/29/2012 14:57:43:065
35.30 05/29/2012 14:58:43:058
35.35 05/29/2012 14:59:43:054
35.16 05/29/2012 15:00:43:062
35.16 05/29/2012 15:01:43:057
35.01 05/29/2012 15:02:43:060
35.02 05/29/2012 15:03:43:059
34.96 05/29/2012 15:04:43:047
34.89 05/29/2012 15:05:43:091
34.74 05/29/2012 15:06:43:060
34.80 05/29/2012 15:07:43:047
34.80
LAMPIRAN D
19.70
19.99
30.40
30.43 05/30/2012 12:28:29:010
19.77
30.58
30.78 05/30/2012 12:29:29:011
19.60
30.69
30.89 05/30/2012 12:30:29:009
30.80
30.14
31.06 05/30/2012 12:31:28:998
24.63
30.71
31.08 05/30/2012 12:32:28:988
27.55
30.75
31.07 05/30/2012 12:33:28:988
28.00
30.78
30.20 05/30/2012 12:27:29:017
21.06
Suhu hydrostick, stack inlet, dan stack outlet pengoperasian tanggal 30 Mei 2012 Time hidrostik(
25.33
o
C) input(
o
C) output(
o
C) 05/30/2012 12:21:28:976
31.77
28.04
28.03 05/30/2012 12:22:28:974
28.30
29.67 05/30/2012 12:26:28:991
28.19 05/30/2012 12:23:28:961
21.40
28.63
28.56 05/30/2012 12:24:28:960
21.14
29.03
28.97 05/30/2012 12:25:29:011
21.54
29.48
30.96
LAMPIRAN E
Perintah - perintah untuk penyelesaian permasalahan permodelan microchannel dua fasa
% Modeling the Two-Phase Pressure Drop in Microchannels % UnitSystem SI % inputs % Pressure drop analysis for microchannels
D_chan = 0.001 55; % Channel diameter (m) D_bipolar = 0.000 1; % Bipolar channel diameter m = 2.18e-4; % Mass fl ow rate (kg/s) x = 0.80; % Quality pv = 100; % Vapor density (kg/m^3) pl = 1000; % Liquid density (kg/m^3) mul = 1.2e-4; % Liquid viscosity (kg/ms) muv = 1.4e-5; % Vapor viscosity (kg/ms) sigma = 3.6e-3; % (N/m) A = 1.308e-3; a = 0.4273; b = 0.9295; c = -0.1211; L_chan = 0.01; % Channel Length (10 mm) kb = 0.6; psi = 7.5;
% Calculate the area of the inlet channels
A_chan = pi * ((D_chan/2)^2) G_chan = m / A_chan
% Frictional pressure drop in channel from inlet to the bipolar channel % entrance % Void fraction
alpha = (1 + (((1 - x) / x)^ 0.74) * ((pv/pl)^0.65) * (mul/muv)^0.13)^(-1)
% Liquid Reynold’s number
Re_l = (G_chan * D_chan * (1 - x))/ ((1+ sqrt(alpha)) * mul)
% Vapor Reynold’s number
Re_v = (G_chan * D_chan * x)/ (sqrt(alpha) * muv);
% Friction factor for laminar fi lm
f_l = 64/Re_l
% Vapor friction factor
f_v = 0.316 * Re_v^(-0.25)
% Annular flow model
dPdz_l = (f_l * G_chan^2 * (1 − x)^2)/(2 * D_chan * pl); %Pa/m dPdz_v = (f_v * G_chan^2 * x^2)/(2 * D_chan * pv); %Pa/m
% Martinelli parameter
Xm = (dPdz_l/dPdz_v)^0.5; j_l = (G_chan * (1-x))/(pl * (1-alpha)); %m/s phi = (j_l * mul)/sigma; f_i = A * (Xm^a) * (Re_l^b) * (phi^c) * f_l; % For laminar region deltaP_chan = 0.5 * f_i * G_chan^2/pv * (x^2)/(alpha^2.5) * (1/D_chan) * L_chan; % Pa
% Calculate the area of the bipolar channels
A_bipolar = pi * (D_bipolar/2)^2; G_bipolar = m / (pi * D_chan * D_bipolar);
% Bend pressure drop from flow channel to bipolar channel entrance % Homogenous flow model
deltaP_bend_in = kb * ((G_bipolar^2)/(2 * pl)) * psi; % Pa
% Contraction pressure drop from the flow channel to bipolar channel entrance
gamma_con = A_chan/A_bipolar Cc = 1/(0.639 * ((1-(1/gamma_con))^0.5)+1)
% Homogenous flow model
deltaP_con_in =((G_bipolar^2)/(2 * pl)) * ((((1/Cc)-1)^2) + 1 -(1 / gamma_con^2)) * psi; % Pa
% Deceleration pressure gain in channels
x_in = 0.80; % Quality in pl_in = 1000; % Liquid density in mul_in=1.2e-4; % Liquid viscosity in pv_in = 100; % Vapor density in muv_in = 1.4e-5; % Vapor viscosity in pl_out = 1075; % Liquid density out mul_out = 1.24e-4; % Liquid viscosity out pv_out = 95; % Vapor density out muv_out = 1.4e-5; % Vapor viscosity out x_out = 0.70; % Quality out G = 550; alphax_in = (1+ (((1-x_in)/x_in)^0.74) * ((pv_in/pl_in)^0.65) * ((mul_in/muv_ in)^0.13))^(-1); alphax_out=(1+(((1-x_out)/x_out)^0.74)*((pv_out/pl_out)^0.65)* (mul_out/muv_out)^0.13))^(-1); deltaP_decel = (((G^2) * (x_in^2)/(pv_in * alphax_in))+ ((G^2) * (1- x_in)^2)/(pl_in * (1- alphax_in)))- (((G^2) * (x_out^2)/(pv_out *alphax_out))+ ((G^2) * (1-x_out)^2)/ (pl_out * (1-alphax_out)));
% Frictional pressure drop in bipolar channels
L_bipolar_hor = 0.0075 * 6; % horizontal length x number of channels L_bipolar_vert = 0.0015 * 5; % vertical length x number of u bends
% Void fraction
alpha_bipolar = (1 + (((1 − x) / x)^ 0.74) * ((pv/pl)^0.65) * (mul/muv)^0.13)^(-1);
% Liquid Reynold’s number
Re_l = (G_bipolar * D_bipolar * (1 − x))/ ((1+ sqrt(alpha_bipolar)) * mul);
% Vapor Reynold’s number
Re_v = (G_bipolar * D_bipolar * x)/ (sqrt(alpha_bipolar) * muv);
% Friction factor for laminar fi lm
f_l = 64/Re_l;
% Vapor friction factor
f_v = 0.316 * Re_v^(-0.25);
% Annular fl ow model dPdz_l = (f %Pa/m
_l * G_bipolar^2 * (1 − x)^2)/(2 * D_bipolar * pl); dPdz_v = (f_v * G_bipolar^2 * x^2)/(2 * D_bipolar * pv); %Pa/m
% Martinelli parameter
Xm = (dPdz_l/dPdz_v)^0.5; j_l = (G_bipolar * (1-x))/(pl * (1-alpha_bipolar)); %m/s phi = (j_l * mul)/sigma; f_i = A * (Xm^a) * (Re_l^b) * (phi^c) * f_l; % For laminar region deltaP_bipolar_hor = 0.5 * f_i * G_bipolar^2/pv * (x^2)/(alpha_bipolar^2.5) * (1/D_bipolar) * L_bipolar_hor; % Pa deltaP_bipolar_vert = 0.5 * f_i * G_bipolar^2/pv * (x^2)/(alpha_bipolar^2.5) * (1/D_bipolar) * L_bipolar_vert; % Pa
% Bend pressure drop in bipolar channel bends
bends = 10; % “L” bends
% Homogenous fl ow model
deltaP_bend_bipolar = kb * ((G_bipolar^2)/(2 * pl)) * psi * bends; % Pa
% Net frictional pressure drop in channels
deltaP = deltaP_chan + deltaP_bend_in + deltaP_con_in + deltaP_decel + deltaP_ bipolar_hor +deltaP_bipolar_vert + deltaP_bend_bipolar; % Pa
% Convert to bar
deltaP = deltaP * 1e-5
LAMPIRAN F
Perintah - perintah untuk penyelesaian permasalahan permodelan stack sel bahan bakar
% Designing the Fuel Cell Stack % UnitSystem SI % Inputs
Power = 20; % Required stack power (W) Voltage = 10; % Stack Voltage (V) V_cell = 0.769; % Cell voltage i = 0.5; % Current Density (A/cm^2)
% Calculate the required stack current
I = Power / Voltage; % The current is the power divided by the voltage
% Assume that the fuel cell voltage is 0.769 V per cell
N_cells = Voltage/V_cell;
% Assume the current density is 0.5 A/cm^2, therefore, the current needed per cell is
i_cell = I/N_cells;
% The area required per cell is
A_cell = i_cell/i; % cm^2
LAMPIRAN G
Perintah - perintah untuk penyelesaian efisiensi kipas pada sel bahan bakar
% Calculate the Fan Efficiency % UnitSystem SI % Inputs
T = 298; % Operating temperature (K) P = 100; % Operating pressure (kPa) PBoost = 0.6; % PBoost: the boost in the pressure air = 0.02; % air moved actualpower = 0.02; % the actual power generated (kW) cp = 1.005; % Specific heat gamma = 1.38; R = 0.286;
% Calculate the exit temperature from isentropic ratio
T2 = T ((P + PBoost)/P).^((gamma- 1)/gamma); % Ideal work (kJ/kg)
W_ideal = cp (T2 − T)
% Mass flow rate (kg/s)
m = air / (R T / P)
% Fan Efficiency
etha = W_ideal / (actualpower / m)
LAMPIRAN H
Perintah - perintah untuk penyelesaian permasalahan permodelan kompresor udara untuk sel bahan bakar
% Designing an Air Compressor % UnitSystem SI % Inputs
T = 298; % Operating temperature (K) P = 100; % Operating pressure (kPa) PBoost = 100; % PBoost: the boost in the pressure eta = 0.75; % Effi ciency m_air = 2; % Mass fl ow rate (kg/s) gamma = 1.38; cp = 1.005; % Specifi c heat R = 0.286; % Ideal gas constant
% Calculate volume using the ideal gas law
v1 = R
% Calculate volumetric flow rate (m3/s)
V1 = v1 m_air
% Ideal exit temperature
T_exit_ideal = T * ((P + PBoost)/P)^((gamma- 1)/gamma)
% Ideal work
W_ideal = cp * (T_exit_ideal − T)* m_air
% Actual work
W_actual = W_ideal / eta
% Actual exit temperature
T_exit_actual = T + W_actual/ (cp * m_air)