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Fuel Jet Velocity Calculator

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Fuel Injection in IC Engine Air Standard Cycles Design of IC Engine Components Engine Performance Parameters

✖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%
✖Density of Fuel is defined as the ratio of the mass of the fuel to its volume considered.ⓘ Density of Fuel [ρ_f]			+10% -10%

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

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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))/Density of Fuel))
V_fj = C_d*sqrt(((2*(p_in-p_cy))/ρ_f))
This formula uses 1 Functions, 5 Variables

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., 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.
Density of Fuel - (Measured in Kilogram per Cubic Meter) - Density of Fuel is defined as the ratio of the mass of the fuel to its volume considered.

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)
Density of Fuel: 850 Kilogram per Cubic Meter --> 850 Kilogram per Cubic Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V_fj = C_d*sqrt(((2*(p_in-p_cy))/ρ_f)) --> 0.66*sqrt(((2*(20000000-5000000))/850))

Evaluating ... ...

V_fj = 123.99240963486

STEP 3: Convert Result to Output's Unit

123.99240963486 Meter per Second --> No Conversion Required

FINAL ANSWER

123.99240963486 ≈ 123.9924 Meter per Second <-- Fuel Jet Velocity

(Calculation completed in 00.004 seconds)

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Created by Aditya Prakash Gautam

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

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< Fuel Injection in IC Engine Calculators

Actual Fuel Velocity of Injection Considering Orifice Flow Coefficient

LaTeX Go Actual Fuel Velocity of Injection = Flow Coefficient of Orifice*sqrt((2*(Injection Pressure-Pressure in Cylinder during Fuel Injection)*100000)/Density of Fuel)

Fuel Velocity at Time of Release into Engine Cylinder

LaTeX Go Fuel Velocity at Tip of Nozzle = sqrt(2*Specific Volume of Fuel*(Injection Pressure-Pressure in Cylinder during Fuel Injection))

Total Time Taken for Fuel Injection in One Cycle

LaTeX Go Total Time Taken for Fuel Injection = Time of Fuel Injection in Crank Angle/360*60/Engine RPM

Number of Fuel Injections Per Minute for Four Stroke Engine

LaTeX Go Number of Injections per Minute = Engine RPM/2

Fuel Jet Velocity Formula

LaTeX Go

Fuel Jet Velocity = Coefficient of Discharge*sqrt(((2*(Fuel Injection Pressure-Pressure of charge inside the cylinder))/Density of Fuel))
V_fj = C_d*sqrt(((2*(p_in-p_cy))/ρ_f))

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))/Density of Fuel)) 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_fj 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) & Density of Fuel (ρ_f) and hit the calculate button. Here is how the Fuel Jet Velocity calculation can be explained with given input values -> 123.9924 = 0.66*sqrt(((2*(20000000-5000000))/850)).

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_fj = C_d*sqrt(((2*(p_in-p_cy))/ρ_f)) or Fuel Jet Velocity = Coefficient of Discharge*sqrt(((2*(Fuel Injection Pressure-Pressure of charge inside the cylinder))/Density of Fuel)). 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 & Density of Fuel is defined as the ratio of the mass of the fuel to its volume considered.

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))/Density of Fuel)). 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) & Density of Fuel (ρ_f). With our tool, you need to enter the respective value for Coefficient of Discharge, Fuel Injection Pressure, Pressure of charge inside the cylinder & Density 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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