Fundamentals of Increasign Engine Power

Fundamentals of Increasign Engine Power

Fundamentals of Increasign Engine Power


The principles of increasing the engine capacity of
Fundamentals of Increasing Engine Power
Definitions:
– Mechanical efficiency Mechanical efficiency (hm):
    image001

 image002 ,
 (1)image003    

Thermal efficiency (hth, i ) Indicated:
  image004 = image005

 image006

Divide both the denominator and the numerator by time t

 image007
(2)image008

Brake thermal efficiency (hth, b):

(3)image009

 
Volumetric efficiency (hV):
 image010 

(4)image011

 
From equation (3) we find that:

(5)image012 

From equation (5), we find that the engine power depends on:
1- Thermal braking efficiency hb, th               
2- The rate of fuel consumption mf  
3- The calorific value of the fuel cv                                              
* by multiplying equation (1) by  image013

 image014
(6)image015                                                

From equation (6) we find that the engine power depends on:
4- The ratio of fuel to air (f / e) F
5- The rate of air entry (air mass) ma  
* from equation No. (6)

(7)image016                 

From equation (7) we find that the engine power depends on:
6- The density of the incoming air ra     
7- The rate of air entry (air volume) Va    
* by multiplying equation (7) by  image017

 image018
(8)image019

From equation (8), we find that the engine power depends on:
8- the volumetric efficiency (degree of fullness) hV           
* and since the volume of air entering the engine is equal to:

 image020

If equation (8) becomes

 image021
(9)image022

 
From equation (9) we find that the engine power depends on:            
9- Engine capacity (cylinder capacity x number of cylinders) Veng               
10- Engine rotational speed N   
11- Number of engine strokes (quadruple i = 2, binary i = 1) i
* Since the engine size equals volume of cylinder x number of cylinders

 image023

Whereas, the compression ratio (r) is:

 image024
 image025

 
Substituting in equation (9) a value of x Z Veng = Vcy we get:

(10)image026

 
From equation (10), we find that the engine power depends on:
12- compression ratio r
* where the mechanical efficiency is equal to (the actual (braking) power divided by the theoretical power), so it is:

(11)image027

 
From equation (11) we find that the power of the motor depends on:
13- Mechanical efficiency hm 
14- Graphical power Pi                            
 
Factors affecting the power of the motor:

1Braking thermal efficiencyReduce heat loss, loss in cooling
2fuel consumption rateIncrease the amount of fuel
3calorific value of fuelUsing a fuel with a high calorific value
4fuel to air ratioRatio increase during acceleration
5air intake rateDepends on the air intake path section area, air passage speed, cylinder section area, piston speed, timing and number of valves, forced charging.
6Intake air densityForced charging, inlet air temperature, cooling
7Inlet air volumeforced freight
8Volumetric efficiency (degree of fullness)Forced charging, valve timing
9Engine CapacityDepends on engine design, number of cylinders, cylinder diameter, stroke length
10Engine rotation speedLimited to the maximum value of the inertial force
11Number of engine strokesA two-stroke engine has twice the power of a four-stroke engine
12compression ratioDepends on the engine design, limited by the slapping limit of the gasoline engine, and the increased stresses for the diesel engine
13mechanical efficiencyDepend on friction, it has running parts and accessories of the engine
14graphic abilityThermal cycle, ignition

 
Table of symbols used:

codethe meaningMeaning
hmmechanical efficiencyMechanical efficiency
hth, iThermal Efficiency – GraphicIndicated thermal efficiency
hth, bThermal Efficiency – BrakingBreak thermal efficiency
hVVolumetric efficiencyVolumetric efficiency
PbEngine brake power (kW)Engine brake power (kW)
PiGraphic motor power (kw)Engine indicated power (kW)
WEngine work output (joules)Output work (J)
ttime (sec)Time(s)
mffuel mass (kg)Fuel mass (kg)
mfFuel inlet rate (mass) (kg/sec)Fuel rate (kg/s)
cvFuel heat capacity (joules/kg)Fuel Calorific value (kJ/kg)
maintake air mass (kg)Actual input air mass (kg)
ma thTheoretical air mass (kg)Theoretical air mass (kg)
maAir intake rate (mass) (kg/sec)Rate of input air mass (kg/s)
FFuel-Air Ratio (Reciprocal of H/F Ratio)Fuel air ratio
raActual air density (kg/m3)Actual air density (kg/m3)
ra, thTheoretical air density (kg/m3)Theoretical air density (kg/m3)
VaAir intake rate (volume) (m3/s)Rate of input air volume (kg/s)  
dEngine cylinder diameter (cm)Cylinder bore diameter (m)
LStroke Length (cm)Stroke length (m)
ZEngine cylinder numberNumber of engine cylinder
NEngine rotational speed (rpm)Engine rotation speed (rpm)
iA number indicating the number of engine revolutions per revolution 
= 2: four-stroke engine
= 1: two-stroke engine
Number of engine rev/cycle
=2: four stroke 
=1: two stroke
VengEngine Capacity – Engine displacement (m3)Engine swept volume (m3)
Vcycylinder volume – cylinder volume (m3)Cylinder swept volume (m3)
VcClearance Size (m3)Clearance volume (m3)
rcompression ratioCompression ratio 

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