✖Brake Power is the power available at the crankshaft.ⓘ Brake Power [BP]			+10% -10%
✖Mass of Fuel Supplied per Second is the amount of the mass of the fuel that is supplied per second to an engine or to a system.ⓘ Mass of Fuel Supplied per Second [m_f]			+10% -10%
✖Calorific value of Fuel is the amount of energy released or produced when 1 kg of fuel burns or any other substance is burnt in the presence of oxygen.ⓘ Calorific Value of Fuel [CV]			+10% -10%

✖Brake Thermal Efficiency (in %) is defined as the brake power of a heat engine as a function of the thermal input from the fuel.ⓘ Brake Thermal Efficiency given Brake Power [η_b]

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Formula

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Brake Thermal Efficiency given Brake Power

Formula

`"η"_{"b"} = ("BP"/("m"_{"f"}*"CV"))*100`

Example

`"0.245536"=("0.55kW"/("0.14kg/s"*"1600kJ/kg"))*100`

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Brake Thermal Efficiency given Brake Power Solution

STEP 0: Pre-Calculation Summary

Formula Used

Brake Thermal Efficiency = (Brake Power/(Mass of Fuel Supplied per Second*Calorific Value of Fuel))*100
η_b = (BP/(m_f*CV))*100
This formula uses 4 Variables

Variables Used

Brake Thermal Efficiency - Brake Thermal Efficiency (in %) is defined as the brake power of a heat engine as a function of the thermal input from the fuel.
Brake Power - (Measured in Watt) - Brake Power is the power available at the crankshaft.
Mass of Fuel Supplied per Second - (Measured in Kilogram per Second) - Mass of Fuel Supplied per Second is the amount of the mass of the fuel that is supplied per second to an engine or to a system.
Calorific Value of Fuel - (Measured in Joule per Kilogram) - Calorific value of Fuel is the amount of energy released or produced when 1 kg of fuel burns or any other substance is burnt in the presence of oxygen.

STEP 1: Convert Input(s) to Base Unit

Brake Power: 0.55 Kilowatt --> 550 Watt (Check conversion here)
Mass of Fuel Supplied per Second: 0.14 Kilogram per Second --> 0.14 Kilogram per Second No Conversion Required
Calorific Value of Fuel: 1600 Kilojoule per Kilogram --> 1600000 Joule per Kilogram (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

η_b = (BP/(m_f*CV))*100 --> (550/(0.14*1600000))*100

Evaluating ... ...

η_b = 0.245535714285714

STEP 3: Convert Result to Output's Unit

0.245535714285714 --> No Conversion Required

FINAL ANSWER

0.245535714285714 ≈ 0.245536 <-- Brake Thermal Efficiency

(Calculation completed in 00.013 seconds)

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Home » Physics » IC Engine » Engine Performance Parameters » Mechanical » Engine Dynamics » Brake Thermal Efficiency given Brake Power

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Created by Aditya Prakash Gautam

Indian Institute of Technology (IIT (ISM) ), Dhanbad, Jharkhand

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< 25 Engine Dynamics Calculators

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Go Overall Heat Transfer Coefficient = 1/((1/Heat Transfer Coefficient on Gas Side)+(Thickness of Engine Wall/Thermal conductivity of material)+(1/Heat Transfer Coefficient on Coolant Side))

Rate of convection heat transfer between engine wall and coolant

Go Rate of Convection Heat Transfer = Convection Heat Transfer Coefficient*Surface Area of Engine Wall*(Engine Wall Surface Temperature-Temperature of Coolant)

Heat transfer across engine wall given overall heat transfer coefficient

Go Heat Transfer across Engine Wall = Overall Heat Transfer Coefficient*Surface Area of Engine Wall*(Gas side temperature-Coolant Side Temperature)

Inlet-Valve Mach Index

Go Mach Index = ((Cylinder Diameter/Inlet Valve Diameter)^2)*((Mean Piston Speed)/(Flow Coefficient*Sonic Velocity))

Brake Power given Mean Effective Pressure

Go Brake Power = (Brake Mean Effective Pressure*Stroke Length*Area of Cross Section*(Engine Speed))

Beale Number

Go Beale Number = Engine Power/(Average Gas Pressure*Piston Swept Volume*Engine Frequency)

Engine displacement given number of cylinders

Go Engine Displacement = Engine Bore*Engine Bore*Stroke Length*0.7854*Number of Cylinders

Indicated Thermal Efficiency given Indicated Power

Go Indicated Thermal Efficiency = ((Indicated Power)/(Mass of Fuel Supplied per Second*Calorific Value of Fuel))*100

Brake Thermal Efficiency given Brake Power

Go Brake Thermal Efficiency = (Brake Power/(Mass of Fuel Supplied per Second*Calorific Value of Fuel))*100

Rate of cooling of engine

Go Rate of Cooling = Constant for Cooling Rate*(Engine Temperature-Engine Surrounding Temperature)

Time taken for engine to cool

Go Time Required to Cool Engine = (Engine Temperature-Final Engine Temperature)/Rate of Cooling

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Go Engine RPM = (Speed of Vehicle*Gear Ratio of Transmission*336)/Tire Diameter

Kinetic Energy Stored in Flywheel of IC Engine

Go Kinetic Energy Stored in the Flywheel = (Flywheel Moment of Inertia*(Flywheel Angular Velocity^2))/2

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Go Swept Volume = (((pi/4)*Inner Diameter of Cylinder^2)*Stroke Length)

Indicated specific fuel consumption

Go Indicated Specific Fuel Consumption = Fuel Consumption in IC engine/Indicated Power

Indicated Thermal Efficiency given Relative Efficiency

Go Indicated Thermal Efficiency = (Relative Efficiency*Air Standard Efficiency)/100

Relative Efficiency

Go Relative Efficiency = (Indicated Thermal Efficiency/Air Standard Efficiency)*100

Brake specific fuel consumption

Go Brake Specific Fuel Consumption = Fuel Consumption in IC engine/Brake Power

Indicated Power given Mechanical Efficiency

Go Indicated Power = Brake Power/(Mechanical Efficiency/100)

Brake Power given Mechanical Efficiency

Go Brake Power = (Mechanical Efficiency/100)*Indicated Power

Mechanical Efficiency of IC engine

Go Mechanical Efficiency = (Brake Power/Indicated Power)*100

Specific Power Output

Go Specific Power Output = Brake Power/Area of Cross Section

Mean piston speed

Go Mean Piston Speed = 2*Stroke Length*Engine Speed

Friction Power

Go Friction Power = Indicated Power-Brake Power

Peak torque of engine

Go Peak Torque of Engine = Engine Displacement*1.25

< 21 Important Formulas of Engine Dynamics Calculators

Inlet-Valve Mach Index

Go Mach Index = ((Cylinder Diameter/Inlet Valve Diameter)^2)*((Mean Piston Speed)/(Flow Coefficient*Sonic Velocity))

Brake Power given Mean Effective Pressure

Go Brake Power = (Brake Mean Effective Pressure*Stroke Length*Area of Cross Section*(Engine Speed))

Beale Number

Go Beale Number = Engine Power/(Average Gas Pressure*Piston Swept Volume*Engine Frequency)

Engine displacement given number of cylinders

Go Engine Displacement = Engine Bore*Engine Bore*Stroke Length*0.7854*Number of Cylinders

Indicated Thermal Efficiency given Indicated Power

Go Indicated Thermal Efficiency = ((Indicated Power)/(Mass of Fuel Supplied per Second*Calorific Value of Fuel))*100

Brake Thermal Efficiency given Brake Power

Go Brake Thermal Efficiency = (Brake Power/(Mass of Fuel Supplied per Second*Calorific Value of Fuel))*100

Rate of cooling of engine

Go Rate of Cooling = Constant for Cooling Rate*(Engine Temperature-Engine Surrounding Temperature)

Time taken for engine to cool

Go Time Required to Cool Engine = (Engine Temperature-Final Engine Temperature)/Rate of Cooling

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Go Engine RPM = (Speed of Vehicle*Gear Ratio of Transmission*336)/Tire Diameter

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Go Kinetic Energy Stored in the Flywheel = (Flywheel Moment of Inertia*(Flywheel Angular Velocity^2))/2

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Go Swept Volume = (((pi/4)*Inner Diameter of Cylinder^2)*Stroke Length)

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Go Indicated Specific Fuel Consumption = Fuel Consumption in IC engine/Indicated Power

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Go Relative Efficiency = (Indicated Thermal Efficiency/Air Standard Efficiency)*100

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Go Brake Specific Fuel Consumption = Fuel Consumption in IC engine/Brake Power

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Go Equivalence Ratio = Actual Air Fuel Ratio/Stoichiometric Air Fuel Ratio

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Go Indicated Power = Brake Power/(Mechanical Efficiency/100)

Brake Power given Mechanical Efficiency

Go Brake Power = (Mechanical Efficiency/100)*Indicated Power

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Go Mechanical Efficiency = (Brake Power/Indicated Power)*100

Specific Power Output

Go Specific Power Output = Brake Power/Area of Cross Section

Mean piston speed

Go Mean Piston Speed = 2*Stroke Length*Engine Speed

Friction Power

Go Friction Power = Indicated Power-Brake Power

Brake Thermal Efficiency given Brake Power Formula

Brake Thermal Efficiency = (Brake Power/(Mass of Fuel Supplied per Second*Calorific Value of Fuel))*100
η_b = (BP/(m_f*CV))*100

What is Brake Thermal Efficiency?

Brake Thermal Efficiency is the ratio of brake power output to heat input (Fuel power). Brake Thermal Efficiency is defined as break power of a heat engine as a function of the thermal input from the fuel.
Mathematically: η= (Brake power)/(Fuel power)

How to Calculate Brake Thermal Efficiency given Brake Power?

Brake Thermal Efficiency given Brake Power calculator uses Brake Thermal Efficiency = (Brake Power/(Mass of Fuel Supplied per Second*Calorific Value of Fuel))*100 to calculate the Brake Thermal Efficiency, The Brake Thermal Efficiency given Brake Power formula is defined as the ratio of brake power and product of mass of fuel supplied per second and calorific value of the fuel. Brake Thermal Efficiency is denoted by η_b symbol.

How to calculate Brake Thermal Efficiency given Brake Power using this online calculator? To use this online calculator for Brake Thermal Efficiency given Brake Power, enter Brake Power (BP), Mass of Fuel Supplied per Second (m_f) & Calorific Value of Fuel (CV) and hit the calculate button. Here is how the Brake Thermal Efficiency given Brake Power calculation can be explained with given input values -> 0.245536 = (550/(0.14*1600000))*100.

FAQ

What is Brake Thermal Efficiency given Brake Power?

The Brake Thermal Efficiency given Brake Power formula is defined as the ratio of brake power and product of mass of fuel supplied per second and calorific value of the fuel and is represented as η_b = (BP/(m_f*CV))*100 or Brake Thermal Efficiency = (Brake Power/(Mass of Fuel Supplied per Second*Calorific Value of Fuel))*100. Brake Power is the power available at the crankshaft, Mass of Fuel Supplied per Second is the amount of the mass of the fuel that is supplied per second to an engine or to a system & Calorific value of Fuel is the amount of energy released or produced when 1 kg of fuel burns or any other substance is burnt in the presence of oxygen.

How to calculate Brake Thermal Efficiency given Brake Power?

The Brake Thermal Efficiency given Brake Power formula is defined as the ratio of brake power and product of mass of fuel supplied per second and calorific value of the fuel is calculated using Brake Thermal Efficiency = (Brake Power/(Mass of Fuel Supplied per Second*Calorific Value of Fuel))*100. To calculate Brake Thermal Efficiency given Brake Power, you need Brake Power (BP), Mass of Fuel Supplied per Second (m_f) & Calorific Value of Fuel (CV). With our tool, you need to enter the respective value for Brake Power, Mass of Fuel Supplied per Second & Calorific Value of Fuel 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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