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]

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Formula

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Similarity Constant Equation with Slenderness Ratio

Formula

K = M \cdot λ

Example

1.08 rad = 5.4 \cdot 0.2

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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)

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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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< Hypersonic Flow and Disturbances Calculators

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)

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)))

Change in Velocity for Hypersonic Flow in X Direction

Go Change in Velocity for Hypersonic Flow = Fluid Velocity-Freestream Velocity Normal

Similarity Constant Equation with Slenderness Ratio

Go Hypersonic Similarity Parameter = Mach Number*Slenderness Ratio

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.

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