Coefficient of Pressure with Slenderness 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 [γ]			+10% -10%
✖Mach number is a dimensionless quantity representing the ratio of flow velocity past a boundary to the local speed of sound.ⓘ Mach Number [M]			+10% -10%
✖Non Dimensionalized Pressure is the technique which can ease the analysis of the problem at hand and reduce the number of free parameters.ⓘ Non Dimensionalized Pressure [p_-]			+10% -10%
✖The Slenderness Ratio is the ratio of the length of a column and the least radius of gyration of its cross section.ⓘ Slenderness Ratio [λ]			+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 with Slenderness Ratio [C_p]

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Coefficient of Pressure with Slenderness Ratio Solution

STEP 0: Pre-Calculation Summary

Formula Used

Pressure Coefficient = 2/Specific Heat Ratio*Mach Number^2*(Non Dimensionalized Pressure*Specific Heat Ratio*Mach Number^2*Slenderness Ratio^2-1)
C_p = 2/γ*M^2*(p_-*γ*M^2*λ^2-1)
This formula uses 5 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.
Mach Number - Mach number is a dimensionless quantity representing the ratio of flow velocity past a boundary to the local speed of sound.
Non Dimensionalized Pressure - Non Dimensionalized Pressure is the technique which can ease the analysis of the problem at hand and reduce the number of free parameters.
Slenderness Ratio - The Slenderness Ratio is the ratio of the length of a column and the least radius of gyration of its cross section.

STEP 1: Convert Input(s) to Base Unit

Specific Heat Ratio: 1.1 --> No Conversion Required
Mach Number: 5.4 --> No Conversion Required
Non Dimensionalized Pressure: 0.81 --> No Conversion Required
Slenderness Ratio: 0.2 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

C_p = 2/γ*M^2*(p_-*γ*M^2*λ^2-1) --> 2/1.1*5.4^2*(0.81*1.1*5.4^2*0.2^2-1)

Evaluating ... ...

C_p = 2.0816210618182

STEP 3: Convert Result to Output's Unit

2.0816210618182 --> No Conversion Required

FINAL ANSWER

2.0816210618182 ≈ 2.081621 <-- Pressure Coefficient

(Calculation completed in 00.020 seconds)

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Created by Sanjay Krishna

Amrita School of Engineering (ASE), Vallikavu

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< Hypersonic Flow and Disturbances Calculators

Coefficient of Pressure with Slenderness Ratio

LaTeX Go Pressure Coefficient = 2/Specific Heat Ratio*Mach Number^2*(Non Dimensionalized Pressure*Specific Heat Ratio*Mach Number^2*Slenderness Ratio^2-1)

Density Ratio with Similarity Constant having Slenderness Ratio

LaTeX Go Density Ratio = ((Specific Heat Ratio+1)/(Specific Heat Ratio-1))*(1/(1+2/((Specific Heat Ratio-1)*Hypersonic Similarity Parameter^2)))

Change in Velocity for Hypersonic Flow in X Direction

LaTeX Go Change in Velocity for Hypersonic Flow = Fluid Velocity-Freestream Velocity Normal

Similarity Constant Equation with Slenderness Ratio

LaTeX Go Hypersonic Similarity Parameter = Mach Number*Slenderness Ratio

Coefficient of Pressure with Slenderness Ratio Formula

LaTeX Go

Pressure Coefficient = 2/Specific Heat Ratio*Mach Number^2*(Non Dimensionalized Pressure*Specific Heat Ratio*Mach Number^2*Slenderness Ratio^2-1)
C_p = 2/γ*M^2*(p_-*γ*M^2*λ^2-1)

What is pressure coefficient?

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

How to Calculate Coefficient of Pressure with Slenderness Ratio?

Coefficient of Pressure with Slenderness Ratio calculator uses Pressure Coefficient = 2/Specific Heat Ratio*Mach Number^2*(Non Dimensionalized Pressure*Specific Heat Ratio*Mach Number^2*Slenderness Ratio^2-1) to calculate the Pressure Coefficient, Coefficient of Pressure with Slenderness Ratio formula is defined as a dimensionless quantity that characterizes the pressure distribution around a body in hypersonic flow, taking into account the effects of slenderness ratio on the flow field and the resulting pressure forces. Pressure Coefficient is denoted by C_p symbol.

How to calculate Coefficient of Pressure with Slenderness Ratio using this online calculator? To use this online calculator for Coefficient of Pressure with Slenderness Ratio, enter Specific Heat Ratio (γ), Mach Number (M), Non Dimensionalized Pressure (p_-) & Slenderness Ratio (λ) and hit the calculate button. Here is how the Coefficient of Pressure with Slenderness Ratio calculation can be explained with given input values -> 2.081621 = 2/1.1*5.4^2*(0.81*1.1*5.4^2*0.2^2-1).

FAQ

What is Coefficient of Pressure with Slenderness Ratio?

Coefficient of Pressure with Slenderness Ratio formula is defined as a dimensionless quantity that characterizes the pressure distribution around a body in hypersonic flow, taking into account the effects of slenderness ratio on the flow field and the resulting pressure forces and is represented as C_p = 2/γ*M^2*(p_-*γ*M^2*λ^2-1) or Pressure Coefficient = 2/Specific Heat Ratio*Mach Number^2*(Non Dimensionalized Pressure*Specific Heat Ratio*Mach Number^2*Slenderness Ratio^2-1). 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, Mach number is a dimensionless quantity representing the ratio of flow velocity past a boundary to the local speed of sound, Non Dimensionalized Pressure is the technique which can ease the analysis of the problem at hand and reduce the number of free parameters & The Slenderness Ratio is the ratio of the length of a column and the least radius of gyration of its cross section.

How to calculate Coefficient of Pressure with Slenderness Ratio?

Coefficient of Pressure with Slenderness Ratio formula is defined as a dimensionless quantity that characterizes the pressure distribution around a body in hypersonic flow, taking into account the effects of slenderness ratio on the flow field and the resulting pressure forces is calculated using Pressure Coefficient = 2/Specific Heat Ratio*Mach Number^2*(Non Dimensionalized Pressure*Specific Heat Ratio*Mach Number^2*Slenderness Ratio^2-1). To calculate Coefficient of Pressure with Slenderness Ratio, you need Specific Heat Ratio (γ), Mach Number (M), Non Dimensionalized Pressure (p_-) & Slenderness Ratio (λ). With our tool, you need to enter the respective value for Specific Heat Ratio, Mach Number, Non Dimensionalized Pressure & Slenderness Ratio and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Pressure Coefficient?

In this formula, Pressure Coefficient uses Specific Heat Ratio, Mach Number, Non Dimensionalized Pressure & Slenderness Ratio. We can use 1 other way(s) to calculate the same, which is/are as follows -

Pressure Coefficient = (2*Slenderness Ratio^2)/(Specific Heat Ratio*Hypersonic Similarity Parameter^2)*(Specific Heat Ratio*Hypersonic Similarity Parameter^2*Non Dimensionalized Pressure-1)

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