Fuel Jet Velocity Calculator

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✖Coefficient of Discharge is ratio of Actual discharge to theoretical discharge.ⓘ Coefficient of Discharge [C_d]			+10% -10%
✖Fuel injection pressure is the pressure at the inlet of injector with which the fuel will be injected into the engine's combustion chamber.ⓘ Fuel injection pressure [p_in]			+10% -10%
✖Pressure of charge inside the cylinder is the pressure in the combustion chamber or pressure of charge during injection.ⓘ Pressure of charge inside the cylinder [p_cy]			+10% -10%
✖Fuel Density is the density of the fuel used.ⓘ Fuel Density [ρ_fuel]			+10% -10%

✖Fuel jet velocity is the velocity of fuel injection at the exit of the orifice.ⓘ Fuel Jet Velocity [V_f]

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Formula

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Fuel Jet Velocity

Formula

`"V"_{"f"} = "C"_{"d"}*sqrt(((2*("p"_{"in"}-"p"_{"cy"}))/"ρ"_{"fuel"}))`

Example

`"132m/s"="0.66"*sqrt(((2*("200Bar"-"50Bar"))/"0.00075kg/cm³"))`

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Fuel Jet Velocity Solution

STEP 0: Pre-Calculation Summary

Formula Used

Fuel jet velocity = Coefficient of Discharge*sqrt(((2*(Fuel injection pressure-Pressure of charge inside the cylinder))/Fuel Density))
V_f = C_d*sqrt(((2*(p_in-p_cy))/ρ_fuel))
This formula uses 1 Functions, 5 Variables

Functions Used

sqrt - Squre root function, sqrt(Number)

Variables Used

Fuel jet velocity - (Measured in Meter per Second) - Fuel jet velocity is the velocity of fuel injection at the exit of the orifice.
Coefficient of Discharge - Coefficient of Discharge is ratio of Actual discharge to theoretical discharge.
Fuel injection pressure - (Measured in Pascal) - Fuel injection pressure is the pressure at the inlet of injector with which the fuel will be injected into the engine's combustion chamber.
Pressure of charge inside the cylinder - (Measured in Pascal) - Pressure of charge inside the cylinder is the pressure in the combustion chamber or pressure of charge during injection.
Fuel Density - (Measured in Kilogram per Cubic Meter) - Fuel Density is the density of the fuel used.

STEP 1: Convert Input(s) to Base Unit

Coefficient of Discharge: 0.66 --> No Conversion Required
Fuel injection pressure: 200 Bar --> 20000000 Pascal (Check conversion here)
Pressure of charge inside the cylinder: 50 Bar --> 5000000 Pascal (Check conversion here)
Fuel Density: 0.00075 Kilogram per Cubic Centimeter --> 750 Kilogram per Cubic Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V_f = C_d*sqrt(((2*(p_in-p_cy))/ρ_fuel)) --> 0.66*sqrt(((2*(20000000-5000000))/750))

Evaluating ... ...

V_f = 132

STEP 3: Convert Result to Output's Unit

132 Meter per Second --> No Conversion Required

FINAL ANSWER

132 Meter per Second <-- Fuel jet velocity

(Calculation completed in 00.016 seconds)

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Credits

Created by Aditya Prakash Gautam

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

Aditya Prakash Gautam has created this Calculator and 25+ more calculators!

Verified by Aditya verma

maulana azad national institute of technology (NIT bhopal), Bhopal m.p india

Aditya verma has verified this Calculator and 4 more calculators!

< 8 Fundamentals of IC Engine Calculators

Overall heat transfer coefficient of IC engine

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))

Fuel Jet Velocity

Go Fuel jet velocity = Coefficient of Discharge*sqrt(((2*(Fuel injection pressure-Pressure of charge inside the cylinder))/Fuel Density))

Mass of air taken in each cylinder

Go Mass of air taken in each cylinder = (Intake air pressure*(Clearance volume+Displaced volume))/([R]*Intake air temperature)

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)

Kinetic energy stored in flywheel of IC engine

Go Kinetic energy stored in the flywheel = (Flywheel moment of inertia*(Flywheel angular velocity^2))/2

Swept Volume

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

Compression Ratio given Clearance and Swept Volume

Go Compression Ratio = 1+(Swept volume/Clearance volume)

Mean piston speed

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

Fuel Jet Velocity Formula

Fuel jet velocity = Coefficient of Discharge*sqrt(((2*(Fuel injection pressure-Pressure of charge inside the cylinder))/Fuel Density))
V_f = C_d*sqrt(((2*(p_in-p_cy))/ρ_fuel))

Coefficient of Discharge

It is defined as the ratio of actual flow discharge through the orifice (Qa) to the theoretical flow discharge (Qth). It is denoted by Cd and is a dimensionless quantity.

How to Calculate Fuel Jet Velocity?

Fuel Jet Velocity calculator uses Fuel jet velocity = Coefficient of Discharge*sqrt(((2*(Fuel injection pressure-Pressure of charge inside the cylinder))/Fuel Density)) to calculate the Fuel jet velocity, The Fuel Jet Velocity formula is defined as the velocity with the fuel will be injected from the fuel injector into the engine's combustion chamber. It depends on coefficient of discharge for the orifice, fuel density and also the average pressure difference over the injection period. Fuel jet velocity is denoted by V_f symbol.

How to calculate Fuel Jet Velocity using this online calculator? To use this online calculator for Fuel Jet Velocity, enter Coefficient of Discharge (C_d), Fuel injection pressure (p_in), Pressure of charge inside the cylinder (p_cy) & Fuel Density (ρ_fuel) and hit the calculate button. Here is how the Fuel Jet Velocity calculation can be explained with given input values -> 132 = 0.66*sqrt(((2*(20000000-5000000))/750)).

FAQ

What is Fuel Jet Velocity?

The Fuel Jet Velocity formula is defined as the velocity with the fuel will be injected from the fuel injector into the engine's combustion chamber. It depends on coefficient of discharge for the orifice, fuel density and also the average pressure difference over the injection period and is represented as V_f = C_d*sqrt(((2*(p_in-p_cy))/ρ_fuel)) or Fuel jet velocity = Coefficient of Discharge*sqrt(((2*(Fuel injection pressure-Pressure of charge inside the cylinder))/Fuel Density)). Coefficient of Discharge is ratio of Actual discharge to theoretical discharge, Fuel injection pressure is the pressure at the inlet of injector with which the fuel will be injected into the engine's combustion chamber, Pressure of charge inside the cylinder is the pressure in the combustion chamber or pressure of charge during injection & Fuel Density is the density of the fuel used.

How to calculate Fuel Jet Velocity?

The Fuel Jet Velocity formula is defined as the velocity with the fuel will be injected from the fuel injector into the engine's combustion chamber. It depends on coefficient of discharge for the orifice, fuel density and also the average pressure difference over the injection period is calculated using Fuel jet velocity = Coefficient of Discharge*sqrt(((2*(Fuel injection pressure-Pressure of charge inside the cylinder))/Fuel Density)). To calculate Fuel Jet Velocity, you need Coefficient of Discharge (C_d), Fuel injection pressure (p_in), Pressure of charge inside the cylinder (p_cy) & Fuel Density (ρ_fuel). With our tool, you need to enter the respective value for Coefficient of Discharge, Fuel injection pressure, Pressure of charge inside the cylinder & Fuel Density 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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