Perpendicular Upstream Flow Components behind Shock Wave Calculator

✖The Velocity of the fluid at 1 is the speed of the fluid at a specific point in a flow system, crucial for analyzing fluid behavior in various applications.ⓘ Velocity of the fluid at 1 [V₁]			+10% -10%
✖The Wave Angle is the angle between the direction of a hypersonic flow and the wave generated by an oblique shock in fluid mechanics.ⓘ Wave Angle [β]			+10% -10%
✖The Specific Heat Ratio is the ratio of the heat capacity at constant pressure to the heat capacity at constant volume, important for understanding fluid behavior in hypersonic flows.ⓘ Specific Heat Ratio [Y]			+10% -10%

✖The Perpendicular upstream flow components is the part of the fluid flow that is directed perpendicular to the upstream direction, influencing shock wave behavior in hypersonic flow.ⓘ Perpendicular Upstream Flow Components behind Shock Wave [v2]

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Perpendicular Upstream Flow Components behind Shock Wave Solution

STEP 0: Pre-Calculation Summary

Formula Used

Perpendicular upstream flow components = (Velocity of the fluid at 1*sin(2*Wave Angle))/(Specific Heat Ratio-1)
v2 = (V₁*sin(2*β))/(Y-1)
This formula uses 1 Functions, 4 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

Perpendicular upstream flow components - (Measured in Meter per Second) - The Perpendicular upstream flow components is the part of the fluid flow that is directed perpendicular to the upstream direction, influencing shock wave behavior in hypersonic flow.
Velocity of the fluid at 1 - (Measured in Meter per Second) - The Velocity of the fluid at 1 is the speed of the fluid at a specific point in a flow system, crucial for analyzing fluid behavior in various applications.
Wave Angle - (Measured in Radian) - The Wave Angle is the angle between the direction of a hypersonic flow and the wave generated by an oblique shock in fluid mechanics.
Specific Heat Ratio - The Specific Heat Ratio is the ratio of the heat capacity at constant pressure to the heat capacity at constant volume, important for understanding fluid behavior in hypersonic flows.

STEP 1: Convert Input(s) to Base Unit

Velocity of the fluid at 1: 26.2 Meter per Second --> 26.2 Meter per Second No Conversion Required
Wave Angle: 0.5 Radian --> 0.5 Radian No Conversion Required
Specific Heat Ratio: 1.6 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

v2 = (V₁*sin(2*β))/(Y-1) --> (26.2*sin(2*0.5))/(1.6-1)

Evaluating ... ...

v2 = 36.7442330032781

STEP 3: Convert Result to Output's Unit

36.7442330032781 Meter per Second --> No Conversion Required

FINAL ANSWER

36.7442330032781 ≈ 36.74423 Meter per Second <-- Perpendicular upstream flow components

(Calculation completed in 00.020 seconds)

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Created by Sanjay Krishna

Amrita School of Engineering (ASE), Vallikavu

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PSG College of Technology (PSGCT), Coimbatore

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< Oblique Shock Relation Calculators

Parallel Upstream Flow Components after Shock as Mach Tends to Infinite

LaTeX Go Parallel Upstream Flow Components = Velocity of the fluid at 1*(1-(2*(sin(Wave Angle))^2)/(Specific Heat Ratio-1))

Perpendicular Upstream Flow Components behind Shock Wave

LaTeX Go Perpendicular upstream flow components = (Velocity of the fluid at 1*sin(2*Wave Angle))/(Specific Heat Ratio-1)

Wave Angle for Small Deflection Angle

LaTeX Go Wave Angle = (Specific Heat Ratio+1)/2*(Deflection Angle*180/pi)*pi/180

Coefficient of Pressure Derived from Oblique Shock Theory

LaTeX Go Pressure Coefficient = 2*(sin(Wave Angle))^2

Perpendicular Upstream Flow Components behind Shock Wave Formula

LaTeX Go

Perpendicular upstream flow components = (Velocity of the fluid at 1*sin(2*Wave Angle))/(Specific Heat Ratio-1)
v2 = (V₁*sin(2*β))/(Y-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 Perpendicular Upstream Flow Components behind Shock Wave?

Perpendicular Upstream Flow Components behind Shock Wave calculator uses Perpendicular upstream flow components = (Velocity of the fluid at 1*sin(2*Wave Angle))/(Specific Heat Ratio-1) to calculate the Perpendicular upstream flow components, Perpendicular Upstream Flow Components behind Shock Wave formula is defined as a measure of the velocity component perpendicular to the shock wave, which is essential in understanding the behavior of oblique shock waves in compressible flow. It plays a crucial role in the analysis of supersonic flow and its applications in aerospace engineering. Perpendicular upstream flow components is denoted by v2 symbol.

How to calculate Perpendicular Upstream Flow Components behind Shock Wave using this online calculator? To use this online calculator for Perpendicular Upstream Flow Components behind Shock Wave, enter Velocity of the fluid at 1 (V₁), Wave Angle (β) & Specific Heat Ratio (Y) and hit the calculate button. Here is how the Perpendicular Upstream Flow Components behind Shock Wave calculation can be explained with given input values -> 36.74423 = (26.2*sin(2*0.5))/(1.6-1).

FAQ

What is Perpendicular Upstream Flow Components behind Shock Wave?

Perpendicular Upstream Flow Components behind Shock Wave formula is defined as a measure of the velocity component perpendicular to the shock wave, which is essential in understanding the behavior of oblique shock waves in compressible flow. It plays a crucial role in the analysis of supersonic flow and its applications in aerospace engineering and is represented as v2 = (V₁*sin(2*β))/(Y-1) or Perpendicular upstream flow components = (Velocity of the fluid at 1*sin(2*Wave Angle))/(Specific Heat Ratio-1). The Velocity of the fluid at 1 is the speed of the fluid at a specific point in a flow system, crucial for analyzing fluid behavior in various applications, The Wave Angle is the angle between the direction of a hypersonic flow and the wave generated by an oblique shock in fluid mechanics & The Specific Heat Ratio is the ratio of the heat capacity at constant pressure to the heat capacity at constant volume, important for understanding fluid behavior in hypersonic flows.

How to calculate Perpendicular Upstream Flow Components behind Shock Wave?

Perpendicular Upstream Flow Components behind Shock Wave formula is defined as a measure of the velocity component perpendicular to the shock wave, which is essential in understanding the behavior of oblique shock waves in compressible flow. It plays a crucial role in the analysis of supersonic flow and its applications in aerospace engineering is calculated using Perpendicular upstream flow components = (Velocity of the fluid at 1*sin(2*Wave Angle))/(Specific Heat Ratio-1). To calculate Perpendicular Upstream Flow Components behind Shock Wave, you need Velocity of the fluid at 1 (V₁), Wave Angle (β) & Specific Heat Ratio (Y). With our tool, you need to enter the respective value for Velocity of the fluid at 1, 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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