Non-Dimensional Parallel Velocity Component for High Mach Number Calculator

✖Wave Angle is the shock angle created by the oblique shock, this is not similar to the mach angle.ⓘ Wave Angle [β]			+10% -10%
✖The Specific Heat Ratio of a gas is the ratio of the specific heat of the gas at a constant pressure to its specific heat at a constant volume.ⓘ Specific Heat Ratio [γ]			+10% -10%

✖The Non Dimensionalized Upstream Parallel Velocity is the non dimensional form of the components of the flow velocity behind the shock wave parallel to the upstream flow.ⓘ Non-Dimensional Parallel Velocity Component for High Mach Number [u_-]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Approximate Methods of Hypersonic Inviscid Flowfields Formulas PDF PDF Image

Non-Dimensional Parallel Velocity Component for High Mach Number Solution

STEP 0: Pre-Calculation Summary

Formula Used

Non Dimensionalized Upstream Parallel Velocity = 1-(2*(sin(Wave Angle))^2)/(Specific Heat Ratio-1)
u_- = 1-(2*(sin(β))^2)/(γ-1)
This formula uses 1 Functions, 3 Variables

Functions Used

sin - Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse., sin(Angle)

Variables Used

Non Dimensionalized Upstream Parallel Velocity - The Non Dimensionalized Upstream Parallel Velocity is the non dimensional form of the components of the flow velocity behind the shock wave parallel to the upstream flow.
Wave Angle - (Measured in Radian) - Wave Angle is the shock angle created by the oblique shock, this is not similar to the mach angle.
Specific Heat Ratio - The Specific Heat Ratio of a gas is the ratio of the specific heat of the gas at a constant pressure to its specific heat at a constant volume.

STEP 1: Convert Input(s) to Base Unit

Wave Angle: 0.286 Radian --> 0.286 Radian No Conversion Required
Specific Heat Ratio: 1.6 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

u_- = 1-(2*(sin(β))^2)/(γ-1) --> 1-(2*(sin(0.286))^2)/(1.6-1)

Evaluating ... ...

u_- = 0.734700046638202

STEP 3: Convert Result to Output's Unit

0.734700046638202 --> No Conversion Required

FINAL ANSWER

0.734700046638202 ≈ 0.7347 <-- Non Dimensionalized Upstream Parallel Velocity

(Calculation completed in 00.004 seconds)

You are here -

Home » Engineering » Mechanical » Fluid Mechanics » Hypersonic Flow » Approximate Methods of Hypersonic Inviscid Flowfields » Non-Dimensional Parallel Velocity Component for High Mach Number

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!

< Approximate Methods of Hypersonic Inviscid Flowfields Calculators

Non-Dimensional Pressure for High Mach Number

LaTeX Go Non Dimensionalized Pressure For High Mech Number = 2*(sin(Wave Angle))^2/(Specific Heat Ratio+1)

Non-Dimensional Pressure

LaTeX Go Non Dimensionalized Pressure = Pressure/(Density*Freestream Velocity^2)

Non-Dimensional Density for High Mach Number

LaTeX Go Non Dimensionalized Density = (Specific Heat Ratio+1)/(Specific Heat Ratio-1)

Non-Dimensional Density

LaTeX Go Non Dimensionalized Density = Density/Liquid Density

Non-Dimensional Parallel Velocity Component for High Mach Number Formula

LaTeX Go

Non Dimensionalized Upstream Parallel Velocity = 1-(2*(sin(Wave Angle))^2)/(Specific Heat Ratio-1)
u_- = 1-(2*(sin(β))^2)/(γ-1)

What is velocity component?

The two parts of a vector are known as components and describe the influence of that vector in a single direction. If a projectile is launched at an angle to the horizontal, then the initial velocity of the projectile has both a horizontal and a vertical component.

How to Calculate Non-Dimensional Parallel Velocity Component for High Mach Number?

Non-Dimensional Parallel Velocity Component for High Mach Number calculator uses Non Dimensionalized Upstream Parallel Velocity = 1-(2*(sin(Wave Angle))^2)/(Specific Heat Ratio-1) to calculate the Non Dimensionalized Upstream Parallel Velocity, The Non-dimensional parallel velocity component for high mach number formula is defined as the parallel component of the flow velocity after oblique shock occurs and Mach is infinite. Non Dimensionalized Upstream Parallel Velocity is denoted by u_- symbol.

How to calculate Non-Dimensional Parallel Velocity Component for High Mach Number using this online calculator? To use this online calculator for Non-Dimensional Parallel Velocity Component for High Mach Number, enter Wave Angle (β) & Specific Heat Ratio (γ) and hit the calculate button. Here is how the Non-Dimensional Parallel Velocity Component for High Mach Number calculation can be explained with given input values -> 0.7347 = 1-(2*(sin(0.286))^2)/(1.6-1).

FAQ

What is Non-Dimensional Parallel Velocity Component for High Mach Number?

The Non-dimensional parallel velocity component for high mach number formula is defined as the parallel component of the flow velocity after oblique shock occurs and Mach is infinite and is represented as u_- = 1-(2*(sin(β))^2)/(γ-1) or Non Dimensionalized Upstream Parallel Velocity = 1-(2*(sin(Wave Angle))^2)/(Specific Heat Ratio-1). Wave Angle is the shock angle created by the oblique shock, this is not similar to the mach angle & The Specific Heat Ratio of a gas is the ratio of the specific heat of the gas at a constant pressure to its specific heat at a constant volume.

How to calculate Non-Dimensional Parallel Velocity Component for High Mach Number?

The Non-dimensional parallel velocity component for high mach number formula is defined as the parallel component of the flow velocity after oblique shock occurs and Mach is infinite is calculated using Non Dimensionalized Upstream Parallel Velocity = 1-(2*(sin(Wave Angle))^2)/(Specific Heat Ratio-1). To calculate Non-Dimensional Parallel Velocity Component for High Mach Number, you need Wave Angle (β) & Specific Heat Ratio (γ). With our tool, you need to enter the respective value for Wave Angle & Specific Heat 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