Non-Dimensional Perpendicular 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%

✖Non Dimensionalized Velocity is the non-dimensional form of the components of the flow velocity behind the shock wave perpendicular to the upstream flow velocity behind the shock wave.ⓘ Non-Dimensional Perpendicular Velocity Component for High Mach Number [v_-]

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Non-Dimensional Perpendicular Velocity Component for High Mach Number

Formula

`"v"_{"-"} = (sin(2*"β"))/("γ"-1)`

Example

`"0.902191"=(sin(2*"0.286rad"))/("1.6"-1)`

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Download Approximate Methods of Hypersonic Inviscid Flowfields Formulas PDF

Non-Dimensional Perpendicular Velocity Component for High Mach Number Solution

STEP 0: Pre-Calculation Summary

Formula Used

Non Dimensionalized Velocity = (sin(2*Wave Angle))/(Specific Heat Ratio-1)
v_- = (sin(2*β))/(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 Velocity - Non Dimensionalized Velocity is the non-dimensional form of the components of the flow velocity behind the shock wave perpendicular to the upstream flow velocity behind the shock wave.
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

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

Evaluating ... ...

v_- = 0.902191283830036

STEP 3: Convert Result to Output's Unit

0.902191283830036 --> No Conversion Required

FINAL ANSWER

0.902191283830036 ≈ 0.902191 <-- Non Dimensionalized Velocity

(Calculation completed in 00.004 seconds)

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< 11 Approximate Methods of Hypersonic Inviscid Flowfields Calculators

Non-Dimensional Pressure for High Mach Number

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

Non-Dimensional Parallel Velocity Component for High Mach Number

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

Transformed Conical Variable with Wave Angle

Go Transformed Conical Variable With Wave Angle = (Wave Angle*(180/pi))/Slenderness Ratio

Transformed Conical Variable

Go Transformed Conical Variable = Radius of Cone/(Slenderness Ratio*Height of Cone)

Non-Dimensional Radius for Hypersonic Vehicles

Go Non Dimensionalized Radius = Radius of Cone/(Slenderness Ratio*Height of Cone)

Non-Dimensional Perpendicular Velocity Component for High Mach Number

Go Non Dimensionalized Velocity = (sin(2*Wave Angle))/(Specific Heat Ratio-1)

Transformed Conical Variable with Cone Angle in Hypersonic Flow

Go Transformed Conical Variable = (Wave Angle*(180/pi))/Semi Angle of Cone

Non-Dimensional Pressure

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

Non-Dimensional Density for High Mach Number

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

Slenderness Ratio with Cone Radius for Hypersonic Vehicle

Go Slenderness Ratio For Hypersonic Vehicles = Radius of Cone/Height of Cone

Non-Dimensional Density

Go Non Dimensionalized Density = Density/Liquid Density

Non-Dimensional Perpendicular Velocity Component for High Mach Number Formula

Non Dimensionalized Velocity = (sin(2*Wave Angle))/(Specific Heat Ratio-1)
v_- = (sin(2*β))/(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 Perpendicular Velocity Component for High Mach Number?

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

How to calculate Non-Dimensional Perpendicular Velocity Component for High Mach Number using this online calculator? To use this online calculator for Non-Dimensional Perpendicular 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 Perpendicular Velocity Component for High Mach Number calculation can be explained with given input values -> 0.902191 = (sin(2*0.286))/(1.6-1).

FAQ

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

The Non-dimensional perpendicular velocity component for high mach number formula is defined as perpendicular component of the flow velocity after oblique shock occurs and Mach is infinite and is represented as v_- = (sin(2*β))/(γ-1) or Non Dimensionalized Velocity = (sin(2*Wave Angle))/(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 Perpendicular Velocity Component for High Mach Number?

The Non-dimensional perpendicular velocity component for high mach number formula is defined as perpendicular component of the flow velocity after oblique shock occurs and Mach is infinite is calculated using Non Dimensionalized Velocity = (sin(2*Wave Angle))/(Specific Heat Ratio-1). To calculate Non-Dimensional Perpendicular 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.

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