Pmax & Mean Effective Pressure: The Relationship Explained

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SUMMARY

The relationship between maximum pressure (p max) and brake mean effective pressure (bmep) in a diesel engine can be analyzed using the PV diagram of the diesel cycle. The maximum pressure is identified at the peak of the PV diagram, while bmep serves as an average pressure value. The equation for calculating brake horsepower (BHP) incorporates bmep, piston stroke, piston area, and power strokes per minute, allowing for the determination of engine power potential. Understanding these relationships is crucial for optimizing engine performance.

PREREQUISITES
  • Understanding of PV diagrams in thermodynamics
  • Familiarity with diesel engine mechanics
  • Knowledge of brake horsepower (BHP) calculations
  • Basic grasp of pressure and volume relationships in engines
NEXT STEPS
  • Study the PV diagram for the diesel cycle in detail
  • Learn how to calculate brake mean effective pressure (bmep) accurately
  • Explore advanced engine performance optimization techniques
  • Investigate the impact of piston area and stroke on engine efficiency
USEFUL FOR

Engineers, automotive technicians, and students studying mechanical engineering or automotive technology will benefit from this discussion, particularly those focused on diesel engine performance and optimization.

Mohamed Youssef
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What is the relation between p max and mean effective pressure inside the cylinder
 
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Mohamed Youssef said:
What is the relation between p max and mean effective pressure inside the cylinder
Welcome to PF Mohamed!

The relationship between pressure (ie. the pressure inside the cylinder between piston and end of cylinder) and volume (volume of the cylinder between the piston and end of cylinder) can be determined from the PV diagram for the diesel cycle.

If by "p max" you mean the maximum pressure attained, that is easily determined from the highest point in the PV diagram (i.e. 2-3).

AM
 
Heres an old equation including (brake) mean effective pressure (P):
(P would appear to be akin to average pressure)
BHP = ( P*L*A*N ) / 33,000
P = bmep in psi
L = piston stroke in feet
A = area of piston in sq ins
N = number of power strokes per minute

Basically, its the work done in 1 minute / the official work done by 1 BHP
( 1 BHP = 33,000 lbsforce - ( feet / min ) )

If you had the crank BHP, you could derive the value for P if you know the remaining figures, so:
P = ( 33,000 * BHP ) / ( L*A*N )

Its a handy value to know if you need to calculate the power potential of another engine by assuming the bmep to be similar or the same.
 

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