Similarity Constant Equation with Slenderness Ratio Calculator

✖Mach number is a dimensionless quantity representing the ratio of flow velocity past a boundary to the local speed of sound.ⓘ Mach Number [M]			+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%

✖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.ⓘ Similarity Constant Equation with Slenderness Ratio [K]

⎘ Copy

👎

Formula

✖

Similarity Constant Equation with Slenderness Ratio

Formula

`"K" = "M"*"λ"`

Example

`"1.08rad"="5.4"*"0.2"`

Calculator

LaTeX

Reset

👍

Download Hypersonic Flow and Disturbances Formulas PDF

Similarity Constant Equation with Slenderness Ratio Solution

STEP 0: Pre-Calculation Summary

Formula Used

Hypersonic Similarity Parameter = Mach Number*Slenderness Ratio
K = M*λ
This formula uses 3 Variables

Variables Used

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.
Mach Number - Mach number is a dimensionless quantity representing the ratio of flow velocity past a boundary to the local speed of sound.
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

Mach Number: 5.4 --> No Conversion Required
Slenderness Ratio: 0.2 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

K = M*λ --> 5.4*0.2

Evaluating ... ...

K = 1.08

STEP 3: Convert Result to Output's Unit

1.08 Radian --> No Conversion Required

FINAL ANSWER

1.08 Radian <-- Hypersonic Similarity Parameter

(Calculation completed in 00.004 seconds)

You are here -

Home » Engineering » Mechanical » Fluid Mechanics » Hypersonic Flow » Hypersonic Flow and Disturbances » Similarity Constant Equation with Slenderness Ratio

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!

< 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)

Similarity Constant Equation with Slenderness Ratio Formula

Hypersonic Similarity Parameter = Mach Number*Slenderness Ratio
K = M*λ

What is similarity constant?

Similarity parameters mean some independent dimensionless parameter groups that represent the quantitative characteristics of physical similarity.

How to Calculate Similarity Constant Equation with Slenderness Ratio?

Similarity Constant Equation with Slenderness Ratio calculator uses Hypersonic Similarity Parameter = Mach Number*Slenderness Ratio to calculate the Hypersonic Similarity Parameter, The Similarity constant equation with slenderness ratio formula is defined as the product of mach number at infinity and the slenderness ratio of the body. Hypersonic Similarity Parameter is denoted by K symbol.

How to calculate Similarity Constant Equation with Slenderness Ratio using this online calculator? To use this online calculator for Similarity Constant Equation with Slenderness Ratio, enter Mach Number (M) & Slenderness Ratio (λ) and hit the calculate button. Here is how the Similarity Constant Equation with Slenderness Ratio calculation can be explained with given input values -> 3545.431 = 5.4*0.2.

FAQ

What is Similarity Constant Equation with Slenderness Ratio?

The Similarity constant equation with slenderness ratio formula is defined as the product of mach number at infinity and the slenderness ratio of the body and is represented as K = M*λ or Hypersonic Similarity Parameter = Mach Number*Slenderness Ratio. Mach number is a dimensionless quantity representing the ratio of flow velocity past a boundary to the local speed of sound & 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 Similarity Constant Equation with Slenderness Ratio?

The Similarity constant equation with slenderness ratio formula is defined as the product of mach number at infinity and the slenderness ratio of the body is calculated using Hypersonic Similarity Parameter = Mach Number*Slenderness Ratio. To calculate Similarity Constant Equation with Slenderness Ratio, you need Mach Number (M) & Slenderness Ratio (λ). With our tool, you need to enter the respective value for Mach Number & 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