Wave Angle for Small Deflection Angle Calculator

✖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 Deflection Angle is the angle through which a fluid stream is diverted due to the presence of an obstacle, affecting flow direction in hypersonic conditions.ⓘ Deflection Angle [θ_d]			+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 for Small Deflection Angle [β]

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Wave Angle for Small Deflection Angle Solution

STEP 0: Pre-Calculation Summary

Formula Used

Wave Angle = (Specific Heat Ratio+1)/2*(Deflection Angle*180/pi)*pi/180
β = (Y+1)/2*(θ_d*180/pi)*pi/180
This formula uses 1 Constants, 3 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

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.
Deflection Angle - (Measured in Radian) - The Deflection Angle is the angle through which a fluid stream is diverted due to the presence of an obstacle, affecting flow direction in hypersonic conditions.

STEP 1: Convert Input(s) to Base Unit

Specific Heat Ratio: 1.6 --> No Conversion Required
Deflection Angle: 0.39 Radian --> 0.39 Radian No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

β = (Y+1)/2*(θ_d*180/pi)*pi/180 --> (1.6+1)/2*(0.39*180/pi)*pi/180

Evaluating ... ...

β = 0.507

STEP 3: Convert Result to Output's Unit

0.507 Radian --> No Conversion Required

FINAL ANSWER

0.507 Radian <-- Wave Angle

(Calculation completed in 00.004 seconds)

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Created by Sanjay Krishna

Amrita School of Engineering (ASE), Vallikavu

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National Institute Of Technology (NIT), Hamirpur

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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

Wave Angle for Small Deflection Angle Formula

LaTeX Go

Wave Angle = (Specific Heat Ratio+1)/2*(Deflection Angle*180/pi)*pi/180
β = (Y+1)/2*(θ_d*180/pi)*pi/180

what are the changes due to small deflection angle?

When the deflection angle is small the value of wave angle becomes 1.2 times the deflection angle. It is interesting to observe that, in the hypersonic limit for a slender wedge, the
wave angle is only 20% larger than the wedge angle—

How to Calculate Wave Angle for Small Deflection Angle?

Wave Angle for Small Deflection Angle calculator uses Wave Angle = (Specific Heat Ratio+1)/2*(Deflection Angle*180/pi)*pi/180 to calculate the Wave Angle, Wave Angle for Small Deflection Angle formula is defined as a measure of the angle of a shock wave that occurs when a supersonic flow encounters a sudden change in direction, allowing engineers to analyze and predict the behavior of oblique shock waves in various applications. Wave Angle is denoted by β symbol.

How to calculate Wave Angle for Small Deflection Angle using this online calculator? To use this online calculator for Wave Angle for Small Deflection Angle, enter Specific Heat Ratio (Y) & Deflection Angle (θ_d) and hit the calculate button. Here is how the Wave Angle for Small Deflection Angle calculation can be explained with given input values -> 0.52 = (1.6+1)/2*(0.39*180/pi)*pi/180.

FAQ

What is Wave Angle for Small Deflection Angle?

Wave Angle for Small Deflection Angle formula is defined as a measure of the angle of a shock wave that occurs when a supersonic flow encounters a sudden change in direction, allowing engineers to analyze and predict the behavior of oblique shock waves in various applications and is represented as β = (Y+1)/2*(θ_d*180/pi)*pi/180 or Wave Angle = (Specific Heat Ratio+1)/2*(Deflection Angle*180/pi)*pi/180. 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 & The Deflection Angle is the angle through which a fluid stream is diverted due to the presence of an obstacle, affecting flow direction in hypersonic conditions.

How to calculate Wave Angle for Small Deflection Angle?

Wave Angle for Small Deflection Angle formula is defined as a measure of the angle of a shock wave that occurs when a supersonic flow encounters a sudden change in direction, allowing engineers to analyze and predict the behavior of oblique shock waves in various applications is calculated using Wave Angle = (Specific Heat Ratio+1)/2*(Deflection Angle*180/pi)*pi/180. To calculate Wave Angle for Small Deflection Angle, you need Specific Heat Ratio (Y) & Deflection Angle (θ_d). With our tool, you need to enter the respective value for Specific Heat Ratio & Deflection Angle 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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