# Rotary Power calculator

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```					                                 Mazda Wankel Rotary Engine Performance Spreadsheet Version 1.5 Mar 2001

FOR EDUCATIONAL AND ENTERTAINMENT PURPOSES ONLY                                                                This spreadsheet
is designed to provide first order estimates of engine power and BTU Heat rejection requirements for a Mazda Wankel 13B
Normally aspired engine. It will provide an estimate for Sea Level Power and Power at Altitude MSL. Note: Engine load is not a
computational factor, but can be approximated to some degree by varying the throttle setting. Enter your desired parameters in
the blue Data Input Box. Copywrite @ January, 19, 1994                                                                                                                                                                                                              Calculation Results
AF =                           12.65                  Temp C =             40

Developed by: Ed Anderson, eanderson@carolina.rr.com, Matthews NC                                                                                                                                                          Altitude =                          0                Throttle = 100%
Thi s Spr eadsheet i s Pr ot ect ed t o Pr ecl ude I nadver t ent er asi ng of For m as
ul                                                                                                                     Gear Ratio =                     2.17                  RESULTS
Default                                                                                                                                                                                                                                                                                       Radiator Cooler                               Oil Cooler Heat
Values                                                     DATA ENTRY BOX                                                                  Enter Data                                                                                                                                         Heat Rejection                                   Rejection
Engine                                                 Requirement                                   Requirements
13. 5                      Air Fuel Mixture Ratio(Air Part)                                                                                           12.65                                                                           RPM                   Prop RPM Horse Power Gallon/Hour BTU/Minute                                     BTU/ Minute
4000                       Initial Engine RPM                                                                                                          5000 CALCULATION RESULTS
250                       RPM Step                                                                                                                     100                                                                                 5000                 2304           138            12.87                     4238                   2119
100                       % Throttle Opening (Enter Percentage)                                                                                      100%                                                                                  5100                 2350           141            13.13                     4323                   2161
0                   MSL Altitude in feet                                                                                                           0                                                                                 5200                 2396           144            13.38                     4408                   2204
60                       Enter Air Temperature (Select -40C- 40C, in 5 Degree Increments)                                                              40                                                                                 5300                 2442           147            13.64                     4492                   2246
0. 000                        Enter Boost (psi Gauge) Calculations Compensate for Altitude                                                                   0 1.088827839                                                                     5400                 2488           149            13.90                     4577                   2289
5500                 2535           152            14.16                     4662                   2331
Step 1 Enter Air/Fuel Ratio (Air Value)                                                                                                                                                                          5600                 2581           155            14.41                     4747                   2373
Step 2 Enter RPM Start Value                                                                                                                                                                                     5700                 2627           158            14.67                     4831                   2416
Step 3 Enter RPM Step Increment                                                                                                                                                                                  5800                 2673           160            14.93                     4916                   2458
Step 4 Enter Throttle Opening %                                                                                                                                                                                  5900                 2719           163            15.19                     5001                   2500
Step 5 Enter M SL Operating Altitude in thousand of feet                                                                                                                                                         6000                 2765           166            15.44                     5086                   2543
Step 6 Enter OAT F between 15 -100 in 5 degree increments                                                                                                                                                        6100                 2811           169            15.70                     5170                   2585
Step 7 Enter Gauge Boost in PSI (Note: No intercooler in calculation)                                                                                                                                            6200                 2857           172            15.96                     5255                   2628
6300                 2903           174            16.21                     5340                   2670
NOTES Below
Number of Rotors
Fuel Injection
Power Assumptions

Assumed Max Power                                                                                                                                                                                                                                             Manifold Pressure/Power Estimates
0
Change Max Power Value from 160 if
yours is different - used as the 100%                    Assumed                                                                                             Specified Max
Power basis                                              Max Engine                                                                                          RPM for Look Up                           Change the RPM value if you want
max power at a different RPM than
Power                                      180     Temp F                           40              Table                     6400
6000
A/F Ratio                                 12.65    Altitude                      Sea Level          Throttle                  100%
% Engine
Power              HP                  Inches HG                  RPM
97%               174                     29                     6400
94%               168                     28                     6179
90%               162                     27                     5959
87%               156                     26                     5738
83%               150                     25                     5517
80%               144                     24                     5297
77%               138                     23                     5076
73%               132                     22                     4855
70%               126                     21                     4634
67%               120                     20                     4414
63%               114                     19                     4193
60%               108                     18                     3972
57%               102                     17                     3752
53%                96                     16                     3531
50%                90                     15                     3310
47%                84                     14                     3090
43%                78                     13                     2869
40%                72                     12                     2648
37%                66                     11                     2428
33%                60                     10                     2207
30%                54                      9                     1986
27%                48                      8                     1766
23%                42                      7                     1545
20%                36                      6                     1324
17%                30                      5                     1103
13%                24                      4                      883
10%                18                      3                      662
7%                12                      2                      441
3%                6                       1                      221

Calculation Parameters and Equations

Turbo Charger Density Compensation
P1 At Altitude       14.74       29.999209             29.92                                                                                          Spreadsheet for calculating Engine Power, BTU cooling, and injector Timing
Ai r Densi t y
P2 psi Gauge                 0             0                1               0                                                                               et
Par am er                          Uni t s                 Val ue               Fact or               Conver si on Val ues                                                       Engines 13B (2 Rotors) , 20G (3 Rotors)
2.03537415                                                                                                 =L74*(-3*10^(-5)*\$J\$11+1)                 Air Mass Pa (Sea Lev el)           Lbm/Ft^3                    0.070325             0.002184          Gasoline Energy                                    19000 Btu/lbm-sec       VC=Rot or Chamber vol um CI D
e                          40.000                          Number of Rotors May be any interger
Delta T Ideal                  Delta T Real                                    Compensat e f or al t i t ude         Air Mass Pa (Altitude MSL)         Lbm/Ft^3                    0.070325           0.918418839         1 Btu =                                            778 f t-lb              R = Number of Rotors                               2.000                           value (1,2,3..).
T1 Inlet Temp F         40                 0                             0                                          0.070325                          Fuel Mass Pf                       Lbm/Ft^3                    44.883000                              1 Horse Power =                                    550 f t-lb              F = Faces Per Rot or                             3. 000
per
Tem at ur e                        Degr ees F                                       40. 000                                                                                      Tot al Swept Cham             e                  - 000
ber Vol um per Rot or Rev120.Si ngl e Rot orRead Note -->
65                                                                                                                            Fuel/Air Ratio                                                 0.079051                                                                                                          VCI D=Tot al Di spl acem                          240.000
ent f or N r ot or s per Rot or r ev
Compressor
Efficiency                                                                                                                                             Fuel                                                          1.000000                                                                                                          Ai r Di spl acem                                    0.139
ent per Rot or Revol ut i on ( Cubi c Feet )
Air                                                                                    12.650
T2 Oulet Temp F         40
/
Engi ne RPM Ai r f l ow Cal cul at i ons

Temp Ratio Pressure Ratio                                                                                            Operating parameters
Density Ratio                1           1           1                                                                                                Intake 'Ef f iciency Ve                                                                     100.00%
Vt Throttle % Open                                                                          100.00%
Sea level air Density
0.070325                                                                                                                            RPM Start Value                                                                            5000.000
RPM Step Value                                                                              100.000
Altitude Density    0.070
Turbo Density 0.0703248                                                                        O nce par am er s ar e set f or
et                            Engine RPM (Calculation                                                                                          Eng RPM                                                          5000                     5100                     5200           5300              5400            5500             5600             5700       5800       5900       6000       6100       6200       6300      RPM                                             5000          5100          5200          5300          5400       5500          5600       5700       5800       5900        6000          6100          6200          6300
an engi ne conf i gur at i on t hen         Propeller RPM (PSRU Ratio = 2.17)                             2.170                                              Prop RPM                                                           2304                      2350                     2396             2442           2488            2535             2581             2627       2673       2719       2765       2811       2857       2903    Ai r Fl ow CFM                                   231           236           241           245           250        255           259        264        269        273         278           282           287           292
Nor m l y onl y need t o var y RPM
al                                    Air Flow CFM                                                                                                     Air Flow CFM                                                        231                       236                      241             245             250             255              259              264        269        273        278        282        287        292    Runner Di a ( i nches)                       1. 250        1. 250        1. 250        1. 250        1. 250     1. 250        1. 250     1. 250     1. 250     1. 250      1. 250        1. 250        1. 250        1. 250
Thr ot t l e Openi ng and                   Air Flow Lbm/min                                                                                                 Air Flow Mass                                                   16. 28                    16. 60                  16. 93         17. 26            17. 58          17. 91            18. 23          18. 56     18. 88     19. 21     19. 53     19. 86     20. 19     20. 51     Num  ber Runner s                               2. 00         2. 00         2. 00         2. 00         2. 00      2. 00         2. 00      2. 00      2. 00      2. 00       2. 00         2. 00         2. 00         2. 00
Per haps f uel r at i o                     Fuel Required LBM/Min                                                                                            Fuel Flow Mass                                                      1.29                     1.31                     1.34             1.36            1.39            1.42             1.44             1.47       1.49       1.52       1.54       1.57       1.60       1.62   Runner Ai r Vel oci t y( Feet / Sec)       226. 354      230. 881      235. 408      239. 935      244. 462   248. 989      253. 516   258. 043   262. 570   267. 097    271. 624      276. 152      280. 679      285. 206
f r om Dat a I nput - Resul t s Spr eadsheet Gallon/Min                                                                                                      Gallon/Min                                                          0.21                     0.22                     0.22             0.23            0.23            0.24             0.24             0.24       0.25       0.25       0.26       0.26       0.27       0.27   Runner Ai r Vel oci t y M PH               154. 332      157. 419      160. 505      163. 592      166. 679   169. 765      172. 852   175. 939   179. 025   182. 112    185. 198      188. 285      191. 372
Gallon/Hour                                                                                          Gallon/Hour                                                      12.87                     13.13                   13.38          13.64             13.90           14.16            14.41            14.67      14.93      15.19      15.44      15.70      15.96      16.21     Runner Ai r Vel oci t y ( i nches/ sec)   2716. 244     2770. 569     2824. 894     2879. 219     2933. 544 2987. 869      3042. 194 3096. 519 3150. 843 3205. 168      3259. 493     3313. 818     3368. 143     3422. 468

Power/Heat Calculations                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  136. 574   cf pm
BTU/sec                                                                                               BTU/Second                                                          408                       416                      424             432             440             448              456              465        473        481        489        497        505        513                                                                                                                                                  1.25   1.2271846     2. 276   cf ps
Torque Ft-lbs                                                                                         Torque (Ft-Lbs)                                                  317042                    323382                  329723         336064            342405          348746           355087           361427     367768     374109     380450     386791     393132     399472                                                                                                                                                   1.5   1.7671459
Horse Power (Total)                                                                                   Horse Power (Total)                                                 576                       588                      599             611             623             634              646              657        669        680        692        703        715        726                                                                                                                                          Area           2.9943305
26     Useful                                              24%      24. 000000                              Horse Power (Useful)                                               138                       141                     144           147               149             152               155              158        160        163        166        169        172        174                                                                                                                                           Area ft^2       0.020794   109. 466   f ps
Cooling Loss                                        26%      26. 000000                              HP Loss (Cooling)                                                   150                       153                      156             159             162             165              168              171        174        177        180        183        186        189
40     Exhaust Loss                                        50%      50. 000000                              HP Loss (Exhaust)                                                   288                       294                      300             306             311             317              323              329        334        340        346        352        357        363

Cooling Requirements BTU/Min
Total Cooling Rejection BTU                                                                          Total BTU Rejection                                                6357                      6484                     6611             6739           6866            6993             7120             7247       7374       7501       7629       7756       7883       8010

Radiator = 2/3 of Rejection                                                                          BTU Rejection Radiators                                           4238                     4323                      4408          4492             4577            4662              4747             4831       4916       5001       5086       5170       5255       5340
Oil Cooler = 1/3 of Rejection                                                                        BTU Rejection Oil Cooler                                           2119                     2161                      2204          2246             2289            2331              2373             2416       2458       2500       2543       2585       2628       2670

Injector timing
Total Fuel Flow Requirement Lbm/Min                                                                  Total Fuel flow Required (Lbm/min)                              1.29E+00                 1.31E+00                 1.34E+00      1.36E+00          1.39E+00        1.42E+00          1.44E+00         1.47E+00   1.49E+00   1.52E+00   1.54E+00   1.57E+00   1.60E+00   1.62E+00
Fuel Required lbm/msec                                                                               Fuel Flow Required (Lbm/Millisecond)                             21.4E-6                  21.9E-6                  22.3E-6        22.7E-6           23.2E-6         23.6E-6          24.0E-6          24.5E-6    24.9E-6    25.3E-6    25.7E-6    26.2E-6    26.6E-6    27.0E-6
On time Required per injector/msec                                                                   On-time per Injector (Millisecond)                                  4.29                     4.38                     4.46             4.55            4.63            4.72             4.80             4.89       4.98       5.06       5.15       5.23       5.32       5.40

Injection Set Up Parameters                                                                                                                                              Fuel Fl ow Requi r ed
These val ue        Injectors Staged at (RPM) - User Value                        3000.000000                                                                                                  e =
n im / i
I nj ect or O t ( Lbm M l l i second) / Fl ow Rat e
onl y need t o       Ignition Div ide by (Haltech) otherwise 1                           2.000000                                                                                                 / sec) per I nj ect or * Fact or
( Lbm M
be ent er ed       Injector Flow Rate per Injector Lbs/hr                             45.000000                                                                                            f or Number of St aged I nj ect or s
once per       80% max Flow Rate Lbs/hr                                           40.500000
engi ne       Fuel Pressure actuall/45psi                                        40.000000   0.889
conf i gur at i on    Number of injectors                                                 4.000000
Flow Rate Lbs/msec per Injector                                     0.000010

Table for Adjusting Cooling Air density based on temp

Density)                                                  Temp F                  Density              Ratio                 Inverse/ratio
Standard (59F at 29.92)                                                     59        0.002378                     1                      1
-40        0.002760           0.861594203           1.160639193
-35        0.002724            0.87298091           1.145500421
-30        0.002688           0.884672619           1.130361648
-25        0.002652            0.89668175           1.115222876
-20        0.002616           0.909021407           1.100084104
-15        0.002580           0.921705426           1.084945332
-10        0.002544           0.934748428            1.06980656
-5        0.002508           0.948165869           1.054667788
0        0.002472            0.96197411           1.039529016
5        0.002436           0.976190476           1.024390244
10        0.002400           0.990833333           1.009251472
15        0.002364           1.005922166              0.9941127
20        0.002328           1.021477663           0.978973928
25        0.002292           1.037521815           0.963835156
30        0.002256           1.054078014           0.948696384
35        0.002220           1.071171171           0.933557611
40        0.002184           1.088827839           0.918418839
45        0.002148            1.10707635           0.903280067
50        0.002112            1.12594697           0.888141295
55        0.002076           1.145472062           0.873002523
60        0.002040           1.165686275           0.857863751
65        0.002004           1.186626747           0.842724979
70        0.001968           1.208333333           0.827586207
75        0.001932           1.230848861           0.812447435
80        0.001896           1.254219409           0.797308663
85        0.001860           1.278494624           0.782169891
90        0.001824            1.30372807           0.767031119
95        0.001788           1.329977629           0.751892347
100        0.001752           1.357305936           0.736753574

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