Coefficient of Pressure Equation using Specific Heat Ratio Calculator

✖The Specific heat ratio of a gas is the ratio of the specific heat of the gas at a constant pressure to its specific heat at a constant volume.ⓘ Specific Heat Ratio [Y]			+10% -10%
✖Universal Gas Constant is a physical constant that appears in an equation defining the behavior of a gas under theoretically ideal conditions. Its unit is joulekelvin−1mole−1.ⓘ Universal Gas Constant [R]			+10% -10%

✖Pressure coefficient defines the value of local pressure at a point in terms of free stream pressure and dynamic pressure.ⓘ Coefficient of Pressure Equation using Specific Heat Ratio [C_p]

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Formula

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Coefficient of Pressure Equation using Specific Heat Ratio

Formula

`"C"_{"p"} = ("Y"*"R")/("Y"-1)`

Example

`"22.17067"=("1.6"*"8.314")/("1.6"-1)`

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Coefficient of Pressure Equation using Specific Heat Ratio Solution

STEP 0: Pre-Calculation Summary

Formula Used

Pressure Coefficient = (Specific Heat Ratio*Universal Gas Constant)/(Specific Heat Ratio-1)
C_p = (Y*R)/(Y-1)
This formula uses 3 Variables

Variables Used

Pressure Coefficient - Pressure coefficient defines the value of local pressure at a point in terms of free stream pressure and dynamic pressure.
Specific Heat Ratio - The Specific heat ratio of a gas is the ratio of the specific heat of the gas at a constant pressure to its specific heat at a constant volume.
Universal Gas Constant - Universal Gas Constant is a physical constant that appears in an equation defining the behavior of a gas under theoretically ideal conditions. Its unit is joule*kelvin−1*mole−1.

STEP 1: Convert Input(s) to Base Unit

Specific Heat Ratio: 1.6 --> No Conversion Required
Universal Gas Constant: 8.314 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

C_p = (Y*R)/(Y-1) --> (1.6*8.314)/(1.6-1)

Evaluating ... ...

C_p = 22.1706666666667

STEP 3: Convert Result to Output's Unit

22.1706666666667 --> No Conversion Required

FINAL ANSWER

22.1706666666667 ≈ 22.17067 <-- Pressure Coefficient

(Calculation completed in 00.004 seconds)

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Created by Sanjay Krishna

Amrita School of Engineering (ASE), Vallikavu

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< 11 Space-Marching Finite Difference Method: Additional Solutions of the Euler Equations Calculators

Total Enthalpy Equation using Specific Heat Ratio and Velocities

Go Total Specific Enthalpy = Specific Heat Ratio/(Specific Heat Ratio-1)*Pressure/Density+(Component of Velocity in X-Direction^2+Component of Velocity in Y-Direction^2)/2

Enthalpy Equation using Specific Heat Ratio

Go Enthalpy = Specific Heat Ratio*[R]*Temperature/(Specific Heat Ratio-1)

Density Equation using Enthalpy and Pressure

Go Density = Specific Heat Ratio/(Specific Heat Ratio-1)*Pressure/Enthalpy

Pressure Equation using Enthalpy and Density

Go Pressure = Enthalpy*Density*(Specific Heat Ratio-1)/Specific Heat Ratio

Enthalpy Equation using Pressure and Density

Go Enthalpy = Specific Heat Ratio/(Specific Heat Ratio-1)*Pressure/Density

Coefficient of Pressure Equation using Specific Heat Ratio

Go Pressure Coefficient = (Specific Heat Ratio*Universal Gas Constant)/(Specific Heat Ratio-1)

Curvilinear Grid Location Equation

Go Grid Points = (Distance from Y-Axis-Local Ordinate of Body)/Local Shock-layer Thickness

Local Shock-Layer Thickness

Go Local Shock-layer Thickness = Local ordinate of the shock-Local Ordinate of Body

Free Stream Enthalpy

Go Freestream Specific Enthalpy = Total Specific Enthalpy-(Freestream Velocity^2)/2

Total Specific Enthalpy

Go Total Specific Enthalpy = Enthalpy+(Fluid Velocity^2)/2

Enthalpy Equation using Coefficient of Pressure for Calorically Perfect Gas

Go Enthalpy = Pressure Coefficient*Temperature

Coefficient of Pressure Equation using Specific Heat Ratio Formula

Pressure Coefficient = (Specific Heat Ratio*Universal Gas Constant)/(Specific Heat Ratio-1)
C_p = (Y*R)/(Y-1)

What is pressure coefficient ?

The pressure coefficient is a dimensionless number which describes the relative pressures throughout a flow field in fluid dynamics.

How to Calculate Coefficient of Pressure Equation using Specific Heat Ratio?

Coefficient of Pressure Equation using Specific Heat Ratio calculator uses Pressure Coefficient = (Specific Heat Ratio*Universal Gas Constant)/(Specific Heat Ratio-1) to calculate the Pressure Coefficient, The Coefficient of pressure equation using specific heat ratio formula is defined as the ratio of the product of specific heat ratio and R to the specific heat ratio minus 1. Pressure Coefficient is denoted by C_p symbol.

How to calculate Coefficient of Pressure Equation using Specific Heat Ratio using this online calculator? To use this online calculator for Coefficient of Pressure Equation using Specific Heat Ratio, enter Specific Heat Ratio (Y) & Universal Gas Constant (R) and hit the calculate button. Here is how the Coefficient of Pressure Equation using Specific Heat Ratio calculation can be explained with given input values -> 22.17067 = (1.6*8.314)/(1.6-1).

FAQ

What is Coefficient of Pressure Equation using Specific Heat Ratio?

The Coefficient of pressure equation using specific heat ratio formula is defined as the ratio of the product of specific heat ratio and R to the specific heat ratio minus 1 and is represented as C_p = (Y*R)/(Y-1) or Pressure Coefficient = (Specific Heat Ratio*Universal Gas Constant)/(Specific Heat Ratio-1). The Specific heat ratio of a gas is the ratio of the specific heat of the gas at a constant pressure to its specific heat at a constant volume & Universal Gas Constant is a physical constant that appears in an equation defining the behavior of a gas under theoretically ideal conditions. Its unit is joule*kelvin−1*mole−1.

How to calculate Coefficient of Pressure Equation using Specific Heat Ratio?

The Coefficient of pressure equation using specific heat ratio formula is defined as the ratio of the product of specific heat ratio and R to the specific heat ratio minus 1 is calculated using Pressure Coefficient = (Specific Heat Ratio*Universal Gas Constant)/(Specific Heat Ratio-1). To calculate Coefficient of Pressure Equation using Specific Heat Ratio, you need Specific Heat Ratio (Y) & Universal Gas Constant (R). With our tool, you need to enter the respective value for Specific Heat Ratio & Universal Gas Constant 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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