Non Dimensional Change in Hypersonic Disturbance Velocity in y Direction Calculator

✖Change in Velocity for Hypersonic Flow y direction but change is same the speed of fluid.ⓘ Change in Velocity for Hypersonic Flow y direction [v']			+10% -10%
✖Freestream Velocity Normal is the velocity of air far upstream of an aerodynamic body, that is before the body has a chance to deflect, slow down or compress the air.ⓘ Freestream Velocity Normal [U_∞]			+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%

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

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Formula

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Non Dimensional Change in Hypersonic Disturbance Velocity in y Direction

Formula

`"v"^{"-'"} = "v'"/("U"_{"∞"}*"λ")`

Example

`"0.206373"="4.21m/s"/("102m/s"*"0.2")`

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Non Dimensional Change in Hypersonic Disturbance Velocity in y Direction Solution

STEP 0: Pre-Calculation Summary

Formula Used

Non Dimensional Disturbance Y Velocity = Change in Velocity for Hypersonic Flow y direction/(Freestream Velocity Normal*Slenderness Ratio)
v^-' = v'/(U_∞*λ)
This formula uses 4 Variables

Variables Used

Non Dimensional Disturbance Y Velocity - The Non Dimensional Disturbance Y Velocity direction, this is used in hypersonic small disturbance theory.
Change in Velocity for Hypersonic Flow y direction - (Measured in Meter per Second) - Change in Velocity for Hypersonic Flow y direction but change is same the speed of fluid.
Freestream Velocity Normal - (Measured in Meter per Second) - Freestream Velocity Normal is the velocity of air far upstream of an aerodynamic body, that is before the body has a chance to deflect, slow down or compress the air.
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

Change in Velocity for Hypersonic Flow y direction: 4.21 Meter per Second --> 4.21 Meter per Second No Conversion Required
Freestream Velocity Normal: 102 Meter per Second --> 102 Meter per Second No Conversion Required
Slenderness Ratio: 0.2 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

v^-' = v'/(U_∞*λ) --> 4.21/(102*0.2)

Evaluating ... ...

v^-' = 0.206372549019608

STEP 3: Convert Result to Output's Unit

0.206372549019608 --> No Conversion Required

FINAL ANSWER

0.206372549019608 ≈ 0.206373 <-- Non Dimensional Disturbance Y Velocity

(Calculation completed in 00.004 seconds)

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Created by Sanjay Krishna

Amrita School of Engineering (ASE), Vallikavu

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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 Change in Hypersonic Disturbance Velocity in y Direction Formula

Non Dimensional Disturbance Y Velocity = Change in Velocity for Hypersonic Flow y direction/(Freestream Velocity Normal*Slenderness Ratio)
v^-' = v'/(U_∞*λ)

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 Change in Hypersonic Disturbance Velocity in y Direction?

Non Dimensional Change in Hypersonic Disturbance Velocity in y Direction calculator uses Non Dimensional Disturbance Y Velocity = Change in Velocity for Hypersonic Flow y direction/(Freestream Velocity Normal*Slenderness Ratio) to calculate the Non Dimensional Disturbance Y Velocity, Non dimensional Change in hypersonic disturbance velocity in y direction formula is defined as ratio of small disturbance change in hypersonic velocity to product of free stream velocity and square of slenderness ratio. Non Dimensional Disturbance Y Velocity is denoted by v^-' symbol.

How to calculate Non Dimensional Change in Hypersonic Disturbance Velocity in y Direction using this online calculator? To use this online calculator for Non Dimensional Change in Hypersonic Disturbance Velocity in y Direction, enter Change in Velocity for Hypersonic Flow y direction (v'), Freestream Velocity Normal (U_∞) & Slenderness Ratio (λ) and hit the calculate button. Here is how the Non Dimensional Change in Hypersonic Disturbance Velocity in y Direction calculation can be explained with given input values -> 0.082549 = 4.21/(102*0.2).

FAQ

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

Non dimensional Change in hypersonic disturbance velocity in y direction formula is defined as ratio of small disturbance change in hypersonic velocity to product of free stream velocity and square of slenderness ratio and is represented as v^-' = v'/(U_∞*λ) or Non Dimensional Disturbance Y Velocity = Change in Velocity for Hypersonic Flow y direction/(Freestream Velocity Normal*Slenderness Ratio). Change in Velocity for Hypersonic Flow y direction but change is same the speed of fluid, Freestream Velocity Normal is the velocity of air far upstream of an aerodynamic body, that is before the body has a chance to deflect, slow down or compress the air & 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 Non Dimensional Change in Hypersonic Disturbance Velocity in y Direction?

Non dimensional Change in hypersonic disturbance velocity in y direction formula is defined as ratio of small disturbance change in hypersonic velocity to product of free stream velocity and square of slenderness ratio is calculated using Non Dimensional Disturbance Y Velocity = Change in Velocity for Hypersonic Flow y direction/(Freestream Velocity Normal*Slenderness Ratio). To calculate Non Dimensional Change in Hypersonic Disturbance Velocity in y Direction, you need Change in Velocity for Hypersonic Flow y direction (v'), Freestream Velocity Normal (U_∞) & Slenderness Ratio (λ). With our tool, you need to enter the respective value for Change in Velocity for Hypersonic Flow y direction, Freestream Velocity Normal & 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 Non Dimensional Disturbance Y Velocity?

In this formula, Non Dimensional Disturbance Y Velocity uses Change in Velocity for Hypersonic Flow y direction, Freestream Velocity Normal & Slenderness Ratio. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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