Energy Content per Unit Cylinder Volume of Mixture Formed in Cylinder of Diesel Engine Solution

STEP 0: Pre-Calculation Summary
Formula Used
Energy Content per Unit Cylinder in Diesel Engine = (Density of Air*Lower Heating Value of Fuel)/(Relative Air Fuel Ratio*Stoichiometric Air Fuel Ratio)
Hdi = (ρ*LHVf)/(λ*AFRstoich)
This formula uses 5 Variables
Variables Used
Energy Content per Unit Cylinder in Diesel Engine - (Measured in Joule per Cubic Meter) - Energy Content per Unit Cylinder in Diesel Engine is defined as the heat energy released due to the combustion of diesel fuel during compression stroke.
Density of Air - (Measured in Kilogram per Cubic Meter) - Density of Air is the mass of air per unit volume; it decreases with altitude due to lower pressure.
Lower Heating Value of Fuel - (Measured in Joule per Cubic Meter) - Lower heating value of Fuel is defined as the net heat energy released from combustion of the fuel.
Relative Air Fuel Ratio - Relative Air Fuel Ratio is defined as the ratio of actual fuel-air ratio to the Stoichiometric fuel-air ratio.
Stoichiometric Air Fuel Ratio - Stoichiometric Air Fuel Ratio is defined as the theoretical air fuel ratio mixture of a IC engine.
STEP 1: Convert Input(s) to Base Unit
Density of Air: 1.293 Kilogram per Cubic Meter --> 1.293 Kilogram per Cubic Meter No Conversion Required
Lower Heating Value of Fuel: 10 Megajoule per Cubic Meter --> 10000000 Joule per Cubic Meter (Check conversion here)
Relative Air Fuel Ratio: 1.5 --> No Conversion Required
Stoichiometric Air Fuel Ratio: 14.7 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Hdi = (ρ*LHVf)/(λ*AFRstoich) --> (1.293*10000000)/(1.5*14.7)
Evaluating ... ...
Hdi = 586394.557823129
STEP 3: Convert Result to Output's Unit
586394.557823129 Joule per Cubic Meter -->0.586394557823129 Megajoule per Cubic Meter (Check conversion here)
FINAL ANSWER
0.586394557823129 0.586395 Megajoule per Cubic Meter <-- Energy Content per Unit Cylinder in Diesel Engine
(Calculation completed in 00.004 seconds)

Credits

Created by Syed Adnan
Ramaiah University of Applied Sciences (RUAS), bangalore
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Verified by Kartikay Pandit
National Institute Of Technology (NIT), Hamirpur
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12 Fuel Injection in IC Engine Calculators

Actual Fuel Velocity of Injection Considering Orifice Flow Coefficient
Go Actual Fuel Velocity of Injection = Flow Coefficient of Orifice*sqrt((2*(Injection Pressure in pascals-Pressure in Cylinder during Fuel Injection)*100000)/Density of Fuel)
Volume of Fuel Injected Per Second in Diesel Engine
Go Volume of Fuel Injected per Second = Area of All Orifices of Fuel Injectors*Actual Fuel Velocity of Injection*Total Time Taken for Fuel Injection*Number of Injections per Minute/60
Energy Content per Unit Cylinder Volume of Mixture Formed in Cylinder of Diesel Engine
Go Energy Content per Unit Cylinder in Diesel Engine = (Density of Air*Lower Heating Value of Fuel)/(Relative Air Fuel Ratio*Stoichiometric Air Fuel Ratio)
Energy Content Per Unit Cylinder Volume of Mixture Formed Prior to Induction into Cylinder
Go Energy Content per Unit Cylinder = (Density of Mixture*Lower Heating Value of Fuel)/(Relative Air Fuel Ratio*Stoichiometric Air Fuel Ratio+1)
Fuel Velocity at Time of Release into Engine Cylinder
Go Fuel Velocity at Tip of Nozzle = sqrt(2*Specific Volume of Fuel*(Injection Pressure in pascals-Pressure in Cylinder during Fuel Injection))
Area of all Orifices of Fuel Injectors
Go Area of All Orifices of Fuel Injectors = pi/4*Diameter of Fuel Orifice^2*Number of Orifices
Total Time Taken for Fuel Injection in One Cycle
Go Total Time Taken for Fuel Injection = Time of Fuel Injection in Crank Angle/360*60/Engine RPM
Fuel Consumption Per Cycle
Go Fuel Consumption per Cycle = Fuel Consumption per Cylinder/(60*Number of Cycles per Minute)
Volume of Fuel Injected Per Cycle
Go Volume of Fuel Injected per Cycle = Fuel Consumption per Cycle/Specific Gravity of Fuel
Fuel Consumption per Cylinder
Go Fuel Consumption per Cylinder = Fuel Consumption per Hour/Number of Orifices
Fuel Consumption Per Hour in Diesel Engine
Go Fuel Consumption per Hour = Brake Specific Fuel Consumption*Brake Power
Number of Fuel Injections Per Minute for Four Stroke Engine
Go Number of Injections per Minute = Engine RPM/2

Energy Content per Unit Cylinder Volume of Mixture Formed in Cylinder of Diesel Engine Formula

Energy Content per Unit Cylinder in Diesel Engine = (Density of Air*Lower Heating Value of Fuel)/(Relative Air Fuel Ratio*Stoichiometric Air Fuel Ratio)
Hdi = (ρ*LHVf)/(λ*AFRstoich)

What is the heat energy released during combustion of diesel fuel in diesel engine?

For engines where air/fuel mixing occurs in-cylinder after IVC, it depends on the amount of air that can be inducted and trapped into the cylinder. For engines, the net energy released from combustion is typically represented by the lower heating value (LHV) of the fuel since the water produced by combustion is assumed to remain in the vapor state.

How to Calculate Energy Content per Unit Cylinder Volume of Mixture Formed in Cylinder of Diesel Engine?

Energy Content per Unit Cylinder Volume of Mixture Formed in Cylinder of Diesel Engine calculator uses Energy Content per Unit Cylinder in Diesel Engine = (Density of Air*Lower Heating Value of Fuel)/(Relative Air Fuel Ratio*Stoichiometric Air Fuel Ratio) to calculate the Energy Content per Unit Cylinder in Diesel Engine, The Energy content per unit cylinder volume of mixture formed in cylinder of diesel engine formula is defined as the amount of heat energy released because of the combustion of the diesel fuel in a single cylinder during compression stroke. Energy Content per Unit Cylinder in Diesel Engine is denoted by Hdi symbol.

How to calculate Energy Content per Unit Cylinder Volume of Mixture Formed in Cylinder of Diesel Engine using this online calculator? To use this online calculator for Energy Content per Unit Cylinder Volume of Mixture Formed in Cylinder of Diesel Engine, enter Density of Air (ρ), Lower Heating Value of Fuel (LHVf), Relative Air Fuel Ratio (λ) & Stoichiometric Air Fuel Ratio (AFRstoich) and hit the calculate button. Here is how the Energy Content per Unit Cylinder Volume of Mixture Formed in Cylinder of Diesel Engine calculation can be explained with given input values -> 5.9E-7 = (1.293*10000000)/(1.5*14.7).

FAQ

What is Energy Content per Unit Cylinder Volume of Mixture Formed in Cylinder of Diesel Engine?
The Energy content per unit cylinder volume of mixture formed in cylinder of diesel engine formula is defined as the amount of heat energy released because of the combustion of the diesel fuel in a single cylinder during compression stroke and is represented as Hdi = (ρ*LHVf)/(λ*AFRstoich) or Energy Content per Unit Cylinder in Diesel Engine = (Density of Air*Lower Heating Value of Fuel)/(Relative Air Fuel Ratio*Stoichiometric Air Fuel Ratio). Density of Air is the mass of air per unit volume; it decreases with altitude due to lower pressure, Lower heating value of Fuel is defined as the net heat energy released from combustion of the fuel, Relative Air Fuel Ratio is defined as the ratio of actual fuel-air ratio to the Stoichiometric fuel-air ratio & Stoichiometric Air Fuel Ratio is defined as the theoretical air fuel ratio mixture of a IC engine.
How to calculate Energy Content per Unit Cylinder Volume of Mixture Formed in Cylinder of Diesel Engine?
The Energy content per unit cylinder volume of mixture formed in cylinder of diesel engine formula is defined as the amount of heat energy released because of the combustion of the diesel fuel in a single cylinder during compression stroke is calculated using Energy Content per Unit Cylinder in Diesel Engine = (Density of Air*Lower Heating Value of Fuel)/(Relative Air Fuel Ratio*Stoichiometric Air Fuel Ratio). To calculate Energy Content per Unit Cylinder Volume of Mixture Formed in Cylinder of Diesel Engine, you need Density of Air (ρ), Lower Heating Value of Fuel (LHVf), Relative Air Fuel Ratio (λ) & Stoichiometric Air Fuel Ratio (AFRstoich). With our tool, you need to enter the respective value for Density of Air, Lower Heating Value of Fuel, Relative Air Fuel Ratio & Stoichiometric Air Fuel Ratio and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
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