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))
Vf = Cd*sqrt(((2*(pin-pcy))/ρfuel))
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
Vf = Cd*sqrt(((2*(pin-pcy))/ρfuel)) --> 0.66*sqrt(((2*(20000000-5000000))/750))
Evaluating ... ...
Vf = 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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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))
Vf = Cd*sqrt(((2*(pin-pcy))/ρfuel))

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 Vf symbol.

How to calculate Fuel Jet Velocity using this online calculator? To use this online calculator for Fuel Jet Velocity, enter Coefficient of Discharge (Cd), Fuel injection pressure (pin), Pressure of charge inside the cylinder (pcy) & Fuel Density 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 Vf = Cd*sqrt(((2*(pin-pcy))/ρfuel)) 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 (Cd), Fuel injection pressure (pin), Pressure of charge inside the cylinder (pcy) & Fuel Density 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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