Similarity Constant Equation using Wave Angle 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%
✖Wave Angle is the shock angle created by the oblique shock, this is not similar to the mach angle.ⓘ Wave Angle [β]			+10% -10%

✖Wave Angle Similarity Parameter is used by Rasmussen to obtained the closed-form expression for the shock-wave angle.ⓘ Similarity Constant Equation using Wave Angle [K_β]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Hypersonic Flow and Disturbances Formulas PDF PDF Image

Similarity Constant Equation using Wave Angle Solution

STEP 0: Pre-Calculation Summary

Formula Used

Wave Angle Similarity Parameter = Mach Number*Wave Angle*180/pi
K_β = M*β*180/pi
This formula uses 1 Constants, 3 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Wave Angle Similarity Parameter - Wave Angle Similarity Parameter is used by Rasmussen to obtained the closed-form expression for the shock-wave angle.
Mach Number - Mach number is a dimensionless quantity representing the ratio of flow velocity past a boundary to the local speed of sound.
Wave Angle - (Measured in Radian) - Wave Angle is the shock angle created by the oblique shock, this is not similar to the mach angle.

STEP 1: Convert Input(s) to Base Unit

Mach Number: 5.4 --> No Conversion Required
Wave Angle: 0.286 Radian --> 0.286 Radian No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

K_β = M*β*180/pi --> 5.4*0.286*180/pi

Evaluating ... ...

K_β = 88.4876018800043

STEP 3: Convert Result to Output's Unit

88.4876018800043 --> No Conversion Required

FINAL ANSWER

88.4876018800043 ≈ 88.4876 <-- Wave Angle 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 using Wave Angle

Credits

Created by Sanjay Krishna

Amrita School of Engineering (ASE), Vallikavu

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

Verified by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

Anshika Arya has verified this Calculator and 2500+ 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

Similarity Constant Equation using Wave Angle Formula

LaTeX Go

Wave Angle Similarity Parameter = Mach Number*Wave Angle*180/pi
K_β = M*β*180/pi

What is kinematic similarity?

Kinematic similarity – fluid flow of both the model and real application must undergo similar time rates of change motions.

How to Calculate Similarity Constant Equation using Wave Angle?

Similarity Constant Equation using Wave Angle calculator uses Wave Angle Similarity Parameter = Mach Number*Wave Angle*180/pi to calculate the Wave Angle Similarity Parameter, Similarity Constant Equation using Wave Angle formula is defined as a dimensionless quantity used to describe the characteristics of hypersonic flow and disturbances, providing a fundamental relationship between the Mach number, wave angle, and other flow parameters in high-speed aerodynamics. Wave Angle Similarity Parameter is denoted by K_β symbol.

How to calculate Similarity Constant Equation using Wave Angle using this online calculator? To use this online calculator for Similarity Constant Equation using Wave Angle, enter Mach Number (M) & Wave Angle (β) and hit the calculate button. Here is how the Similarity Constant Equation using Wave Angle calculation can be explained with given input values -> 88.4876 = 5.4*0.286*180/pi.

FAQ

What is Similarity Constant Equation using Wave Angle?

Similarity Constant Equation using Wave Angle formula is defined as a dimensionless quantity used to describe the characteristics of hypersonic flow and disturbances, providing a fundamental relationship between the Mach number, wave angle, and other flow parameters in high-speed aerodynamics and is represented as K_β = M*β*180/pi or Wave Angle Similarity Parameter = Mach Number*Wave Angle*180/pi. Mach number is a dimensionless quantity representing the ratio of flow velocity past a boundary to the local speed of sound & Wave Angle is the shock angle created by the oblique shock, this is not similar to the mach angle.

How to calculate Similarity Constant Equation using Wave Angle?

Similarity Constant Equation using Wave Angle formula is defined as a dimensionless quantity used to describe the characteristics of hypersonic flow and disturbances, providing a fundamental relationship between the Mach number, wave angle, and other flow parameters in high-speed aerodynamics is calculated using Wave Angle Similarity Parameter = Mach Number*Wave Angle*180/pi. To calculate Similarity Constant Equation using Wave Angle, you need Mach Number (M) & Wave Angle (β). With our tool, you need to enter the respective value for Mach Number & Wave Angle 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 Wave Angle Similarity Parameter?

In this formula, Wave Angle Similarity Parameter uses Mach Number & Wave Angle. We can use 1 other way(s) to calculate the same, which is/are as follows -

Wave Angle Similarity Parameter = Hypersonic Similarity Parameter*sqrt((Specific Heat Ratio+1)/2+1/Hypersonic Similarity Parameter^2)

Home

FREE PDFs

🔍 Search