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 00.004 seconds)

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Amrita School of Engineering (ASE), Vallikavu
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5 Non Dimensional Parameters for Hypersonic Flow Calculators

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

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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