Question

In: Advanced Math

analyze the performance of a gasoline engine at various loads based on data given and to...

analyze the performance of a gasoline engine at various loads based on data given and to determine the torque curve, power curve and performance parameters of BMEP, volumetric efficiency, and Air/fuel ratio, plotting the data vs RPM. Making three graphs: one graphing Torque and Power.

Also address t

a. How do the torque curve and power curve compare (max values @ same RPM)?

b. Is volumetric efficiency constant, or varying with RPM..what is trend?

c. Is BMEP a constant? Does it compare more with torque or power output?

Board Time Absorber RPM-C Torque Barometer Air Temp. Air Flow Air Flow
sec RPM lb-ft PSI F Data CFM
0.015 2172 53.876 14.21 64 345.86 34.59
0.030 2177 53.896 14.21 64 347.65 34.77
0.050 2180 54.011 14.21 64 342.63 34.26
0.070 2174 53.744 14.21 64 343.56 34.36
0.090 2182 53.595 14.21 64 349.31 34.93
0.110 2170 53.879 14.21 64 342.84 34.28
0.131 2174 53.754 14.21 64 344.96 34.50
0.151 2192 53.859 14.21 64 349.31 34.93
0.171 2178 53.808 14.21 64 344.01 34.40
0.188 2183 53.785 14.21 64 346.86 34.69
0.206 2182 53.872 14.21 64 344.62 34.46
0.226 2167 53.781 14.21 64 342.23 34.22
0.246 2174 53.714 14.21 64 347.26 34.73
0.266 2166 53.933 14.21 64 341.47 34.15
0.286 2160 53.659 14.21 64 343.18 34.32
0.306 2168 53.771 14.21 64 348.12 34.81
0.326 2165 54.028 14.21 64 342.30 34.23
0.340 2169 53.568 14.21 64 345.69 34.57
0.356 2175 53.612 14.21 64 346.64 34.66
0.376 2162 53.832 14.21 64 340.82 34.08
0.396 2166 53.487 14.21 64 345.96 34.60
0.416 2179 53.561 14.21 64 347.77 34.78
0.436 2166 53.490 14.21 64 342.03 34.20
0.456 2173 53.315 14.21 64 348.22 34.82
0.476 2171 53.440 14.21 64 342.23 34.22
0.492 2164 53.291 14.21 64 344.51 34.45
0.511 2171 53.183 14.21 64 346.14 34.61
0.531 2171 53.287 14.21 64 341.15 34.11
0.551 2165 52.919 14.21 64 343.62 34.36
0.571 2173 53.017 14.21 64 348.34 34.83

Solutions

Expert Solution

a)You are probably thinking of the formula relating power torque and rotational speed, P = T?, which would imply a linear relationship between power and torque. However the relationship is not linear because both power and torque also depend directly on the rotational speed.
For example the torque of a permanent magnet D.C. electric motor depends linearly on the rotational speed:
T = b – a?
(where b is the torque at zero rotational speed and ‘a’ is also a constant).
This is a straight line. We can now substitute this into P = T? and obtain the formula for power:
P = b? – a?^2  
Which is quadratic and clearly not the same “shape” as the torque formula. It does not depend explicitly on the torque value itself.

For an internal combustion engine, the relationship between torque and r.p.m. is more complex, but the same applies. If you could somehow devise an engine with a constant torque output the power would indeed depend linearly on r.p.m. Many engines have a near constant torque output in the middle of their rev range which approximates this condition.

b)Volumetric efficiency is the ratio of actual amount of air and fuel mixture inducted into the cylinder to the swept volume of the cylinder.

For any engine the volumetric efficiency is not constant throughout the operating range.(considering it is designed to operate in a range and not at a constant speed like gen-sets)

The volumetric efficiency is maximum in a particular range of engine speed which depends on whole lot of engine design factors which are not a part of the question.

Volumetric efficiency thus varies with engine speed and other factors. Mass of air increases because there are more number of cycles at higher speeds. Usually the volumetric efficiency of the engine is highest where it produces maximum torque.

c)BMEP:The average (mean) pressure which, if imposed on the pistons uniformly from the top to the bottom of each power stroke, would produce the measured (brake) power output.

Please note that BMEP is purely theoretical and has NOTHING to do with ACTUAL CYLINDER PRESSURES. It is simply a tool to evaluate the efficiency of a given engine at producing torque from a given displacement

BMEP=150.8*TORQUE/DISPLACMENT(FOR 4 STOKE ENGINE)

BMEP=75.4*TORQUE/DISPLACMENT(FOR 4 STOKE ENGINE)

ANOTHER FORMULA TO CALCULATE BMEP

BMEP = n * T * 2 * pi / D

where
n = no. of revs per power stroke (2 for 4 stroke)
P = Power (watts)
D = displacement (m^3)
N = revs / sec
T = torque (Nm)


Related Solutions

analyze the performance of a gasoline engine at various loads based on data given and to...
analyze the performance of a gasoline engine at various loads based on data given and to determine the torque curve, power curve and performance parameters of BMEP, volumetric efficiency, and Air/fuel ratio, plotting the data vs RPM. Making three graphs: one graphing Torque and Power. Also address t a. How do the torque curve and power curve compare (max values @ same RPM)? b. Is volumetric efficiency constant, or varying with RPM..what is trend? c. Is BMEP a constant? Does...
A high performance 4 stroke supercharged gasoline engine is being designed. The target specifications are as...
A high performance 4 stroke supercharged gasoline engine is being designed. The target specifications are as follows: IMEP: 25 bar at peak power bsfc:    237 g/kWh isfc:     211 g/kWh Bore to stroke ratio:    1.1 Number of cylinders: 4 Maximum mean piston speed: 21 m/s Compression ratio: 10.5:1 Simulation results indicate that the indicated work per cylinder per cycle needs to be 1550 J/cyl/cyc. Based on the provided information, finalize the engine design for the following parameters: Bore and stroke (mm)...
Though the electric-gasoline engine allows better miles per gallon relative to a traditional gasoline engine, it...
Though the electric-gasoline engine allows better miles per gallon relative to a traditional gasoline engine, it is not without technological tradeoffs. Regarding the first electric-gasoline cars to market, much of the mpg achieved was due to styling not the ability to run on electricity, which from market surveys not as appealing as the styling of a sleeker vehicle body design. New and limited infrastructure for servicing these vehicles was created, which may have deterred buyer acceptance. Question What fundamental technical...
single cylinder naturally aspirated engine (CNG) on engine performance based on high-speed high load comparison with...
single cylinder naturally aspirated engine (CNG) on engine performance based on high-speed high load comparison with baseline conditions early ignition late ignition and rich and lean PV graph and p theta comparison how to do with results (already obtained) comparing emissions, MFB ( 10 % 50% 90%).......Analysis if it's more or less the values how to analyze the basic comparisons for eg baseline vs high speed vs high load if the values are more why is it? rich and lean...
A high carbon steel shaft is used in an engine and subjected to different loads. In...
A high carbon steel shaft is used in an engine and subjected to different loads. In order to analyse the stress in the shaft, consider a rectangular element within the material. This element is subjected to compressive stress of 135 MPa and shear stress of 166MPa in the vertical direction. The compressive stress in the horizontal direction is 176MPa with a shear stress of 115MPa. a. Sketch the state of stress on this element. b. Determine the maximum and minimum...
1- You need to analyze the operation and performance of a four-stroke, spark-ignition internal combustion engine...
1- You need to analyze the operation and performance of a four-stroke, spark-ignition internal combustion engine (automobile engine). a- Would you analyze the engine as an Open System or a Closed System? b- How many properties of the engine exhaust would you need to measure in order to determine the Thermodynamic State of the exhaust gas? c- Identify a set of properties of the exhaust gas that you might measure to establish its state. d- Are these properties Intensive or...
Refer to the gasoline sales time series data in the given table.
Refer to the gasoline sales time series data in the given table. Week Sales (1000s of gallons) 1 17 2 21 3 19 4 24 5 19 6 15 7 21 8 19 9 23 10 19 11 15 12 22 Compute four-week and five-week moving averages for the time series. Round your answers to two decimal places. Week Sales 4-WeekMoving Average 5-WeekMoving Average 1 17     2 21     3 19     4 24    ...
Refer to the gasoline sales time series data in the given table.
Refer to the gasoline sales time series data in the given table. a. Compute four-week and five-week moving averages for the time series. Round your answers to two decimal places.b. Compute the MSE for the four-week and five-week moving average forecasts. Round your intermediate calculations and final answers to two decimal places. MSE for four-week moving average = MSE for five-week moving average = c. What appears to be the best number of weeks of past data (three, four, or five) to use in...
Definition of Work, Energy,Power, and Torque In Gasoline Engine
Definition of Work, Energy,Power, and Torque In Gasoline Engine
The data provided give the gasoline mileage​ (in miles per​ gallon) based on the horsepower of...
The data provided give the gasoline mileage​ (in miles per​ gallon) based on the horsepower of a​ car's engine and the weight of the car​ (in pounds). Using the data​ provided, determine the VIF for each independent variable in the model. Is there reason to suspect the existence of​ collinearity? Determine the VIF for each independent variable in the model. MPG Horsepower Weight 15.8 185 4,758 19.7 106 3,534 20.3 141 3,220 18.8 172 4,466 17.3 166 4,293 27.5 75...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT