Coefficient of Pressure with Slenderness Ratio and Similarity Constant Calculator

✖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%
✖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%
✖Hypersonic Similarity Parameter, In the study of hypersonic flow over slender bodies, the product M1u is an important governing parameter, where, as before. It is to simplify the equations.ⓘ Hypersonic Similarity Parameter [K]			+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%

✖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 and Similarity Constant [C_p]

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Formula

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Coefficient of Pressure with Slenderness Ratio and Similarity Constant

Formula

`"C"_{"p"} = (2*"λ"^2)/("γ"*"K"^2)*("γ"*"K"^2*"p"_{"-"}-1)`

Example

`"0.027481"=(2*("0.2")^2)/("1.1"*("1.396rad")^2)*("1.1"*("1.396rad")^2*"0.81"-1)`

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Coefficient of Pressure with Slenderness Ratio and Similarity Constant Solution

STEP 0: Pre-Calculation Summary

Formula Used

Pressure Coefficient = (2*Slenderness Ratio^2)/(Specific Heat Ratio*Hypersonic Similarity Parameter^2)*(Specific Heat Ratio*Hypersonic Similarity Parameter^2*Non Dimensionalized Pressure-1)
C_p = (2*λ^2)/(γ*K^2)*(γ*K^2*p_--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.
Slenderness Ratio - The Slenderness Ratio is the ratio of the length of a column and the least radius of gyration of its cross section.
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.
Hypersonic Similarity Parameter - (Measured in Radian) - Hypersonic Similarity Parameter, In the study of hypersonic flow over slender bodies, the product M1u is an important governing parameter, where, as before. It is to simplify the equations.
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.

STEP 1: Convert Input(s) to Base Unit

Slenderness Ratio: 0.2 --> No Conversion Required
Specific Heat Ratio: 1.1 --> No Conversion Required
Hypersonic Similarity Parameter: 1.396 Radian --> 1.396 Radian No Conversion Required
Non Dimensionalized Pressure: 0.81 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

C_p = (2*λ^2)/(γ*K^2)*(γ*K^2*p_--1) --> (2*0.2^2)/(1.1*1.396^2)*(1.1*1.396^2*0.81-1)

Evaluating ... ...

C_p = 0.0274813035569942

STEP 3: Convert Result to Output's Unit

0.0274813035569942 --> No Conversion Required

FINAL ANSWER

0.0274813035569942 ≈ 0.027481 <-- Pressure Coefficient

(Calculation completed in 00.020 seconds)

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Home » Engineering » Mechanical » Fluid Mechanics » Hypersonic Flow » Hypersonic Flow and Disturbances » Coefficient of Pressure with Slenderness Ratio and Similarity Constant

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< 17 Hypersonic Flow and Disturbances Calculators

Inverse of Density for Hypersonic Flow using Mach Number

Go Inverse of Density = (2+(Specific Heat Ratio-1)*Mach Number^2*sin(Deflection Angle)^2)/(2+(Specific Heat Ratio+1)*Mach Number^2*sin(Deflection Angle)^2)

Coefficient of Pressure with Slenderness Ratio and Similarity Constant

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

Coefficient of Pressure with Slenderness Ratio

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

Non Dimensional Pressure Equation with Slenderness Ratio

Go Non Dimensionalized Pressure = Pressure/(Specific Heat Ratio*Mach Number^2*Slenderness Ratio^2*Free Stream Pressure)

Density Ratio with Similarity Constant having Slenderness Ratio

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

Rasmussen Closed Form Expression for Shock Wave Angle

Go Wave Angle Similarity Parameter = Hypersonic Similarity Parameter*sqrt((Specific Heat Ratio+1)/2+1/Hypersonic Similarity Parameter^2)

Non Dimensional Change in Hypersonic Disturbance Velocity in y Direction

Go Non Dimensional Disturbance Y Velocity = Change in Velocity for Hypersonic Flow y direction/(Freestream Velocity Normal*Slenderness Ratio)

Non Dimensional Change in Hypersonic Disturbance Velocity in x Direction

Go Non Dimensional Disturbance X Velocity = Change in Velocity for Hypersonic Flow/(Freestream Velocity for Blast Wave*Slenderness Ratio^2)

Doty and Rasmussen- Normal Force Coefficient

Go Coefficient of Force = 2*Normal Force/(Density of Fluid*Freestream Velocity Normal^2*Area)

Constant G used for Finding Location of Perturbed Shock

Go Perturbed Shock Location Constant = Perturbed Shock Location Constant at Normal Force/Perturbed Shock Location Constant at Drag Force

Non Dimensional Velocity Disturbance in y Direction in Hypersonic Flow

Go Non Dimensional Disturbance Y Velocity = (2/(Specific Heat Ratio+1))*(1-1/Hypersonic Similarity Parameter^2)

Non Dimensionalised Time

Go Non Dimensionalized Time = Time/(Length/Freestream Velocity Normal)

Similarity Constant Equation using Wave Angle

Go Wave Angle Similarity Parameter = Mach Number*Wave Angle*180/pi

Change in Velocity for Hypersonic Flow in X Direction

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

Distance from Tip of Leading Edge to Base

Go Distance from X-Axis = Freestream Velocity for Blast Wave*Total Time Taken

Similarity Constant Equation with Slenderness Ratio

Go Hypersonic Similarity Parameter = Mach Number*Slenderness Ratio

Inverse of Density for Hypersonic Flow

Go Inverse of Density = 1/(Density*Wave Angle)

Coefficient of Pressure with Slenderness Ratio and Similarity Constant Formula

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 and Similarity Constant?

Coefficient of Pressure with Slenderness Ratio and Similarity Constant calculator uses Pressure Coefficient = (2*Slenderness Ratio^2)/(Specific Heat Ratio*Hypersonic Similarity Parameter^2)*(Specific Heat Ratio*Hypersonic Similarity Parameter^2*Non Dimensionalized Pressure-1) to calculate the Pressure Coefficient, The Coefficient of pressure with slenderness ratio and similarity constant formula is defined as the interrelation between the specific heat ratio, non dimensional pressure, hypersonic similarity constant and slenderness ratio. Pressure Coefficient is denoted by C_p symbol.

How to calculate Coefficient of Pressure with Slenderness Ratio and Similarity Constant using this online calculator? To use this online calculator for Coefficient of Pressure with Slenderness Ratio and Similarity Constant, enter Slenderness Ratio (λ), Specific Heat Ratio (γ), Hypersonic Similarity Parameter (K) & Non Dimensionalized Pressure (p_-) and hit the calculate button. Here is how the Coefficient of Pressure with Slenderness Ratio and Similarity Constant calculation can be explained with given input values -> 0.027481 = (2*0.2^2)/(1.1*1.396^2)*(1.1*1.396^2*0.81-1).

FAQ

What is Coefficient of Pressure with Slenderness Ratio and Similarity Constant?

The Coefficient of pressure with slenderness ratio and similarity constant formula is defined as the interrelation between the specific heat ratio, non dimensional pressure, hypersonic similarity constant and slenderness ratio and is represented as C_p = (2*λ^2)/(γ*K^2)*(γ*K^2*p_--1) or Pressure Coefficient = (2*Slenderness Ratio^2)/(Specific Heat Ratio*Hypersonic Similarity Parameter^2)*(Specific Heat Ratio*Hypersonic Similarity Parameter^2*Non Dimensionalized Pressure-1). The Slenderness Ratio is the ratio of the length of a column and the least radius of gyration of its cross section, 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, Hypersonic Similarity Parameter, In the study of hypersonic flow over slender bodies, the product M1u is an important governing parameter, where, as before. It is to simplify the equations & Non Dimensionalized Pressure is the technique which can ease the analysis of the problem at hand and reduce the number of free parameters.

How to calculate Coefficient of Pressure with Slenderness Ratio and Similarity Constant?

The Coefficient of pressure with slenderness ratio and similarity constant formula is defined as the interrelation between the specific heat ratio, non dimensional pressure, hypersonic similarity constant and slenderness ratio is calculated using Pressure Coefficient = (2*Slenderness Ratio^2)/(Specific Heat Ratio*Hypersonic Similarity Parameter^2)*(Specific Heat Ratio*Hypersonic Similarity Parameter^2*Non Dimensionalized Pressure-1). To calculate Coefficient of Pressure with Slenderness Ratio and Similarity Constant, you need Slenderness Ratio (λ), Specific Heat Ratio (γ), Hypersonic Similarity Parameter (K) & Non Dimensionalized Pressure (p_-). With our tool, you need to enter the respective value for Slenderness Ratio, Specific Heat Ratio, Hypersonic Similarity Parameter & Non Dimensionalized Pressure 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 Slenderness Ratio, Specific Heat Ratio, Hypersonic Similarity Parameter & Non Dimensionalized Pressure. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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