Non Dimensional Change in Hypersonic Disturbance Velocity in x Direction Calculator

✖Change in velocity for Hypersonic Flow states that the total flow velocity is free stream velocity plus change in velocity.ⓘ Change in Velocity for Hypersonic Flow [u']			+10% -10%
✖Freestream Velocity for Blast Wave 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 for Blast Wave [U_{∞ bw}]			+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 X Velocity direction, this is used in hypersonic small disturbance theory.ⓘ Non Dimensional Change in Hypersonic Disturbance Velocity in x Direction [ʉ,]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Hypersonic Flow and Disturbances Formulas PDF PDF Image

Non Dimensional Change in Hypersonic Disturbance Velocity in x Direction Solution

STEP 0: Pre-Calculation Summary

Formula Used

Non Dimensional Disturbance X Velocity = Change in Velocity for Hypersonic Flow/(Freestream Velocity for Blast Wave*Slenderness Ratio^2)
ʉ, = u'/(U_{∞ bw}*λ^2)
This formula uses 4 Variables

Variables Used

Non Dimensional Disturbance X Velocity - The Non Dimensional Disturbance X Velocity direction, this is used in hypersonic small disturbance theory.
Change in Velocity for Hypersonic Flow - (Measured in Meter per Second) - Change in velocity for Hypersonic Flow states that the total flow velocity is free stream velocity plus change in velocity.
Freestream Velocity for Blast Wave - (Measured in Meter per Second) - Freestream Velocity for Blast Wave 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: 1.2 Meter per Second --> 1.2 Meter per Second No Conversion Required
Freestream Velocity for Blast Wave: 0.0512 Meter per Second --> 0.0512 Meter per Second No Conversion Required
Slenderness Ratio: 0.2 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

ʉ, = u'/(U_{∞ bw}*λ^2) --> 1.2/(0.0512*0.2^2)

Evaluating ... ...

ʉ, = 585.9375

STEP 3: Convert Result to Output's Unit

585.9375 --> No Conversion Required

FINAL ANSWER

585.9375 <-- Non Dimensional Disturbance X Velocity

(Calculation completed in 00.004 seconds)

You are here -

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

Credits

Created by Sanjay Krishna

Amrita School of Engineering (ASE), Vallikavu

Sanjay Krishna has created this Calculator and 300+ more calculators!

Verified by Rushi Shah

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

Rushi Shah has verified this Calculator and 200+ more calculators!

< 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

Non Dimensional Change in Hypersonic Disturbance Velocity in x Direction Formula

LaTeX Go

Non Dimensional Disturbance X Velocity = Change in Velocity for Hypersonic Flow/(Freestream Velocity for Blast Wave*Slenderness Ratio^2)
ʉ, = u'/(U_{∞ bw}*λ^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 Change in Hypersonic Disturbance Velocity in x Direction?

Non Dimensional Change in Hypersonic Disturbance Velocity in x Direction calculator uses Non Dimensional Disturbance X Velocity = Change in Velocity for Hypersonic Flow/(Freestream Velocity for Blast Wave*Slenderness Ratio^2) to calculate the Non Dimensional Disturbance X Velocity, Non Dimensional Change in Hypersonic Disturbance Velocity in x Direction formula is defined as a dimensionless quantity that characterizes the disturbance velocity in the x direction in hypersonic flows, providing a crucial parameter in understanding the behavior of hypersonic disturbances in various flow regimes. Non Dimensional Disturbance X Velocity is denoted by ʉ, symbol.

How to calculate Non Dimensional Change in Hypersonic Disturbance Velocity in x Direction using this online calculator? To use this online calculator for Non Dimensional Change in Hypersonic Disturbance Velocity in x Direction, enter Change in Velocity for Hypersonic Flow (u'), Freestream Velocity for Blast Wave (U_{∞ bw}) & Slenderness Ratio (λ) and hit the calculate button. Here is how the Non Dimensional Change in Hypersonic Disturbance Velocity in x Direction calculation can be explained with given input values -> 585.9375 = 1.2/(0.0512*0.2^2).

FAQ

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

Non Dimensional Change in Hypersonic Disturbance Velocity in x Direction formula is defined as a dimensionless quantity that characterizes the disturbance velocity in the x direction in hypersonic flows, providing a crucial parameter in understanding the behavior of hypersonic disturbances in various flow regimes and is represented as ʉ, = u'/(U_{∞ bw}*λ^2) or Non Dimensional Disturbance X Velocity = Change in Velocity for Hypersonic Flow/(Freestream Velocity for Blast Wave*Slenderness Ratio^2). Change in velocity for Hypersonic Flow states that the total flow velocity is free stream velocity plus change in velocity, Freestream Velocity for Blast Wave 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 x Direction?

Non Dimensional Change in Hypersonic Disturbance Velocity in x Direction formula is defined as a dimensionless quantity that characterizes the disturbance velocity in the x direction in hypersonic flows, providing a crucial parameter in understanding the behavior of hypersonic disturbances in various flow regimes is calculated using Non Dimensional Disturbance X Velocity = Change in Velocity for Hypersonic Flow/(Freestream Velocity for Blast Wave*Slenderness Ratio^2). To calculate Non Dimensional Change in Hypersonic Disturbance Velocity in x Direction, you need Change in Velocity for Hypersonic Flow (u'), Freestream Velocity for Blast Wave (U_{∞ bw}) & Slenderness Ratio (λ). With our tool, you need to enter the respective value for Change in Velocity for Hypersonic Flow, Freestream Velocity for Blast Wave & Slenderness Ratio and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

Home

FREE PDFs

🔍 Search