Non Dimensional Velocity Disturbance in y Direction in Hypersonic Flow 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%
✖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%

✖The Non Dimensional Disturbance Y Velocity direction, this is used in hypersonic small disturbance theory.ⓘ Non Dimensional Velocity Disturbance in y Direction in Hypersonic Flow [v^-']

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Non Dimensional Velocity Disturbance in y Direction in Hypersonic Flow

Formula

`"v"^{"-'"} = (2/("γ"+1))*(1-1/"K"^2)`

Example

`"0.463684"=(2/("1.1"+1))*(1-1/("1.396rad")^2)`

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Non Dimensional Velocity Disturbance in y Direction in Hypersonic Flow Solution

STEP 0: Pre-Calculation Summary

Formula Used

Non Dimensional Disturbance Y Velocity = (2/(Specific Heat Ratio+1))*(1-1/Hypersonic Similarity Parameter^2)
v^-' = (2/(γ+1))*(1-1/K^2)
This formula uses 3 Variables

Variables Used

Non Dimensional Disturbance Y Velocity - The Non Dimensional Disturbance Y Velocity direction, this is used in hypersonic small disturbance theory.
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.

STEP 1: Convert Input(s) to Base Unit

Specific Heat Ratio: 1.1 --> No Conversion Required
Hypersonic Similarity Parameter: 1.396 Radian --> 1.396 Radian No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

v^-' = (2/(γ+1))*(1-1/K^2) --> (2/(1.1+1))*(1-1/1.396^2)

Evaluating ... ...

v^-' = 0.463683737055877

STEP 3: Convert Result to Output's Unit

0.463683737055877 --> No Conversion Required

FINAL ANSWER

0.463683737055877 ≈ 0.463684 <-- Non Dimensional Disturbance Y Velocity

(Calculation completed in 00.020 seconds)

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Home » Engineering » Mechanical » Fluid Mechanics » Hypersonic Flow » Hypersonic Flow and Disturbances » Non Dimensional Velocity Disturbance in y Direction in Hypersonic Flow

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Created by Sanjay Krishna

Amrita School of Engineering (ASE), Vallikavu

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Verified by Rushi Shah

K J Somaiya College of Engineering (K J Somaiya), Mumbai

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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)

Non Dimensional Velocity Disturbance in y Direction in Hypersonic Flow Formula

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

What is slenderness ratio?

Since the configuration under consideration is slender, the slope at any point is of the
order of ratio of length to diameter of the body.

How to Calculate Non Dimensional Velocity Disturbance in y Direction in Hypersonic Flow?

Non Dimensional Velocity Disturbance in y Direction in Hypersonic Flow calculator uses Non Dimensional Disturbance Y Velocity = (2/(Specific Heat Ratio+1))*(1-1/Hypersonic Similarity Parameter^2) to calculate the Non Dimensional Disturbance Y Velocity, The Non dimensional Velocity disturbance in y direction in hypersonic flow formula is defined as the interrelation between the specific heat ratio and hypersonic similarity constant. Non Dimensional Disturbance Y Velocity is denoted by v^-' symbol.

How to calculate Non Dimensional Velocity Disturbance in y Direction in Hypersonic Flow using this online calculator? To use this online calculator for Non Dimensional Velocity Disturbance in y Direction in Hypersonic Flow, enter Specific Heat Ratio (γ) & Hypersonic Similarity Parameter (K) and hit the calculate button. Here is how the Non Dimensional Velocity Disturbance in y Direction in Hypersonic Flow calculation can be explained with given input values -> 0.463868 = (2/(1.1+1))*(1-1/1.396^2).

FAQ

What is Non Dimensional Velocity Disturbance in y Direction in Hypersonic Flow?

The Non dimensional Velocity disturbance in y direction in hypersonic flow formula is defined as the interrelation between the specific heat ratio and hypersonic similarity constant and is represented as v^-' = (2/(γ+1))*(1-1/K^2) or Non Dimensional Disturbance Y Velocity = (2/(Specific Heat Ratio+1))*(1-1/Hypersonic Similarity Parameter^2). 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.

How to calculate Non Dimensional Velocity Disturbance in y Direction in Hypersonic Flow?

The Non dimensional Velocity disturbance in y direction in hypersonic flow formula is defined as the interrelation between the specific heat ratio and hypersonic similarity constant is calculated using Non Dimensional Disturbance Y Velocity = (2/(Specific Heat Ratio+1))*(1-1/Hypersonic Similarity Parameter^2). To calculate Non Dimensional Velocity Disturbance in y Direction in Hypersonic Flow, you need Specific Heat Ratio (γ) & Hypersonic Similarity Parameter (K). With our tool, you need to enter the respective value for Specific Heat Ratio & Hypersonic Similarity Parameter 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 Non Dimensional Disturbance Y Velocity?

In this formula, Non Dimensional Disturbance Y Velocity uses Specific Heat Ratio & Hypersonic Similarity Parameter. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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