Pressure Ratio for Maximum Flow Rate through Nozzle Calculator

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✖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]

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✖Pressure Ratio for Flow through Nozzle is the ratio of final to initial pressure of the fluid through the nozzle.ⓘ Pressure Ratio for Maximum Flow Rate through Nozzle [r_p]

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Formula

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Pressure Ratio for Maximum Flow Rate through Nozzle

Formula

`"r"_{"p"} = (2/("y"+1))^("y"/("y"-1))`

Example

`"0.528282"=(2/("1.4"+1))^("1.4"/("1.4"-1))`

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Pressure Ratio for Maximum Flow Rate through Nozzle Solution

STEP 0: Pre-Calculation Summary

Formula Used

Pressure Ratio for Flow through Nozzle = (2/(Specific Heat Ratio+1))^(Specific Heat Ratio/(Specific Heat Ratio-1))
r_p = (2/(y+1))^(y/(y-1))
This formula uses 2 Variables

Variables Used

Pressure Ratio for Flow through Nozzle - Pressure Ratio for Flow through Nozzle is the ratio of final to initial pressure of the fluid through 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.

STEP 1: Convert Input(s) to Base Unit

Specific Heat Ratio: 1.4 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r_p = (2/(y+1))^(y/(y-1)) --> (2/(1.4+1))^(1.4/(1.4-1))

Evaluating ... ...

r_p = 0.528281787717174

STEP 3: Convert Result to Output's Unit

0.528281787717174 --> No Conversion Required

FINAL ANSWER

0.528281787717174 ≈ 0.528282 <-- Pressure Ratio for Flow through Nozzle

(Calculation completed in 00.020 seconds)

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Created by Maiarutselvan V

PSG College of Technology (PSGCT), Coimbatore

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Amrita School of Engineering (ASE), Vallikavu

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Pressure Ratio for Maximum Flow Rate through Nozzle Formula

Pressure Ratio for Flow through Nozzle = (2/(Specific Heat Ratio+1))^(Specific Heat Ratio/(Specific Heat Ratio-1))
r_p = (2/(y+1))^(y/(y-1))

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 Pressure Ratio for Maximum Flow Rate through Nozzle?

Pressure Ratio for Maximum Flow Rate through Nozzle calculator uses Pressure Ratio for Flow through Nozzle = (2/(Specific Heat Ratio+1))^(Specific Heat Ratio/(Specific Heat Ratio-1)) to calculate the Pressure Ratio for Flow through Nozzle, The Pressure ratio for maximum flow rate through nozzle or formula is derived while considering the derivative of the mass flow rate to the pressure ratio for obtaining the pressure ratio at a maximum flow rate. Pressure Ratio for Flow through Nozzle is denoted by r_p symbol.

How to calculate Pressure Ratio for Maximum Flow Rate through Nozzle using this online calculator? To use this online calculator for Pressure Ratio for Maximum Flow Rate through Nozzle, enter Specific Heat Ratio (y) and hit the calculate button. Here is how the Pressure Ratio for Maximum Flow Rate through Nozzle calculation can be explained with given input values -> 0.528282 = (2/(1.4+1))^(1.4/(1.4-1)).

FAQ

What is Pressure Ratio for Maximum Flow Rate through Nozzle?

The Pressure ratio for maximum flow rate through nozzle or formula is derived while considering the derivative of the mass flow rate to the pressure ratio for obtaining the pressure ratio at a maximum flow rate and is represented as r_p = (2/(y+1))^(y/(y-1)) or Pressure Ratio for Flow through Nozzle = (2/(Specific Heat Ratio+1))^(Specific Heat Ratio/(Specific Heat Ratio-1)). 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.

How to calculate Pressure Ratio for Maximum Flow Rate through Nozzle?

The Pressure ratio for maximum flow rate through nozzle or formula is derived while considering the derivative of the mass flow rate to the pressure ratio for obtaining the pressure ratio at a maximum flow rate is calculated using Pressure Ratio for Flow through Nozzle = (2/(Specific Heat Ratio+1))^(Specific Heat Ratio/(Specific Heat Ratio-1)). To calculate Pressure Ratio for Maximum Flow Rate through Nozzle, you need Specific Heat Ratio (y). With our tool, you need to enter the respective value for Specific Heat Ratio 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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