Velocity at Outlet of Nozzle for Maximum Flow Rate of Fluid Calculator

✖The Specific Heat Ratio is the ratio of the heat capacity at constant pressure to heat capacity at constant volume of the flowing fluid for non-viscous and compressible flow.ⓘ Specific Heat Ratio [y]			+10% -10%
✖Pressure at Nozzle Inlet is the pressure of the fluid at the inlet point of the orifice or the nozzle.ⓘ Pressure at Nozzle Inlet [P₁]			+10% -10%
✖Density of Air Medium shows the denseness of the air. This is taken as mass per unit volume.ⓘ Density of Air Medium [ρ_a]			+10% -10%

✖The Velocity of Flow at Nozzle Outlet is velocity of the fluid at the outlet of the orifice or the nozzle.ⓘ Velocity at Outlet of Nozzle for Maximum Flow Rate of Fluid [V_f]

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Velocity at Outlet of Nozzle for Maximum Flow Rate of Fluid Solution

STEP 0: Pre-Calculation Summary

Formula Used

Velocity of Flow at Nozzle Outlet = sqrt((2*Specific Heat Ratio*Pressure at Nozzle Inlet)/((Specific Heat Ratio+1)*Density of Air Medium))
V_f = sqrt((2*y*P₁)/((y+1)*ρ_a))
This formula uses 1 Functions, 4 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

Velocity of Flow at Nozzle Outlet - (Measured in Meter per Second) - The Velocity of Flow at Nozzle Outlet is velocity of the fluid at the outlet of the orifice or the nozzle.
Specific Heat Ratio - The Specific Heat Ratio is the ratio of the heat capacity at constant pressure to heat capacity at constant volume of the flowing fluid for non-viscous and compressible flow.
Pressure at Nozzle Inlet - (Measured in Pascal) - Pressure at Nozzle Inlet is the pressure of the fluid at the inlet point of the orifice or the nozzle.
Density of Air Medium - (Measured in Kilogram per Cubic Meter) - Density of Air Medium shows the denseness of the air. This is taken as mass per unit volume.

STEP 1: Convert Input(s) to Base Unit

Specific Heat Ratio: 1.4 --> No Conversion Required
Pressure at Nozzle Inlet: 69661.11 Newton per Square Meter --> 69661.11 Pascal (Check conversion here)
Density of Air Medium: 1.29 Kilogram per Cubic Meter --> 1.29 Kilogram per Cubic Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V_f = sqrt((2*y*P₁)/((y+1)*ρ_a)) --> sqrt((2*1.4*69661.11)/((1.4+1)*1.29))

Evaluating ... ...

V_f = 251.000007721054

STEP 3: Convert Result to Output's Unit

251.000007721054 Meter per Second --> No Conversion Required

FINAL ANSWER

251.000007721054 ≈ 251 Meter per Second <-- Velocity of Flow at Nozzle Outlet

(Calculation completed in 00.004 seconds)

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Created by Maiarutselvan V

PSG College of Technology (PSGCT), Coimbatore

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Velocity at Outlet of Nozzle for Maximum Flow Rate of Fluid Formula

LaTeX Go

Velocity of Flow at Nozzle Outlet = sqrt((2*Specific Heat Ratio*Pressure at Nozzle Inlet)/((Specific Heat Ratio+1)*Density of Air Medium))
V_f = sqrt((2*y*P₁)/((y+1)*ρ_a))

What is mass flow rate in a compressible flow?

For a compressible, ideal gas, the mass flow rate is a unique function of the flow area, total pressure, the temperature of the flow, properties of the gas, and the Mach number.

How mass flow rate is related to pressure?

Bernoulli's equation states mathematically that if a fluid is flowing through a tube and the tube diameter decreases, then the velocity of the fluid increases, the pressure decreases, and the mass flow (and therefore volumetric flow) remains constant so long as the air density is constant.

How to Calculate Velocity at Outlet of Nozzle for Maximum Flow Rate of Fluid?

Velocity at Outlet of Nozzle for Maximum Flow Rate of Fluid calculator uses Velocity of Flow at Nozzle Outlet = sqrt((2*Specific Heat Ratio*Pressure at Nozzle Inlet)/((Specific Heat Ratio+1)*Density of Air Medium)) to calculate the Velocity of Flow at Nozzle Outlet, Velocity at Outlet of Nozzle for Maximum Flow Rate of Fluid is crucial for determining the efficiency and performance of fluid dynamics systems. It directly correlates with the pressure ratio across the nozzle, fluid density, and nozzle design characteristics, influencing the flow rate and propulsion efficiency in applications such as rocket engines and industrial spraying systems. Understanding and optimizing this velocity is essential for achieving desired operational outcomes in engineering and technological applications. Velocity of Flow at Nozzle Outlet is denoted by V_f symbol.

How to calculate Velocity at Outlet of Nozzle for Maximum Flow Rate of Fluid using this online calculator? To use this online calculator for Velocity at Outlet of Nozzle for Maximum Flow Rate of Fluid, enter Specific Heat Ratio (y), Pressure at Nozzle Inlet (P₁) & Density of Air Medium (ρ_a) and hit the calculate button. Here is how the Velocity at Outlet of Nozzle for Maximum Flow Rate of Fluid calculation can be explained with given input values -> 251.6098 = sqrt((2*1.4*69661.11)/((1.4+1)*1.29)).

FAQ

What is Velocity at Outlet of Nozzle for Maximum Flow Rate of Fluid?

Velocity at Outlet of Nozzle for Maximum Flow Rate of Fluid is crucial for determining the efficiency and performance of fluid dynamics systems. It directly correlates with the pressure ratio across the nozzle, fluid density, and nozzle design characteristics, influencing the flow rate and propulsion efficiency in applications such as rocket engines and industrial spraying systems. Understanding and optimizing this velocity is essential for achieving desired operational outcomes in engineering and technological applications and is represented as V_f = sqrt((2*y*P₁)/((y+1)*ρ_a)) or Velocity of Flow at Nozzle Outlet = sqrt((2*Specific Heat Ratio*Pressure at Nozzle Inlet)/((Specific Heat Ratio+1)*Density of Air Medium)). The Specific Heat Ratio is the ratio of the heat capacity at constant pressure to heat capacity at constant volume of the flowing fluid for non-viscous and compressible flow, Pressure at Nozzle Inlet is the pressure of the fluid at the inlet point of the orifice or the nozzle & Density of Air Medium shows the denseness of the air. This is taken as mass per unit volume.

How to calculate Velocity at Outlet of Nozzle for Maximum Flow Rate of Fluid?

Velocity at Outlet of Nozzle for Maximum Flow Rate of Fluid is crucial for determining the efficiency and performance of fluid dynamics systems. It directly correlates with the pressure ratio across the nozzle, fluid density, and nozzle design characteristics, influencing the flow rate and propulsion efficiency in applications such as rocket engines and industrial spraying systems. Understanding and optimizing this velocity is essential for achieving desired operational outcomes in engineering and technological applications is calculated using Velocity of Flow at Nozzle Outlet = sqrt((2*Specific Heat Ratio*Pressure at Nozzle Inlet)/((Specific Heat Ratio+1)*Density of Air Medium)). To calculate Velocity at Outlet of Nozzle for Maximum Flow Rate of Fluid, you need Specific Heat Ratio (y), Pressure at Nozzle Inlet (P₁) & Density of Air Medium (ρ_a). With our tool, you need to enter the respective value for Specific Heat Ratio, Pressure at Nozzle Inlet & Density of Air Medium 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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