Transformed Conical Variable with Cone Angle in Hypersonic Flow Solution

STEP 0: Pre-Calculation Summary
Formula Used
Transformed Conical Variable = (Wave Angle*(180/pi))/Semi Angle of Cone
θ- = (β*(180/pi))/α
This formula uses 1 Constants, 3 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
Transformed Conical Variable - The Transformed Conical Variable is the ratio of base radius of cone to product of the slenderness ratio and height of cone at which the radius is taken.
Wave Angle - (Measured in Radian) - Wave Angle is the shock angle created by the oblique shock, this is not similar to the mach angle.
Semi Angle of Cone - (Measured in Radian) - Semi Angle of Cone is the semi-vertical angle formed by the cone.
STEP 1: Convert Input(s) to Base Unit
Wave Angle: 0.286 Radian --> 0.286 Radian No Conversion Required
Semi Angle of Cone: 0.5286 Radian --> 0.5286 Radian No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
θ- = (β*(180/pi))/α --> (0.286*(180/pi))/0.5286
Evaluating ... ...
θ- = 30.999986645368
STEP 3: Convert Result to Output's Unit
30.999986645368 --> No Conversion Required
FINAL ANSWER
30.999986645368 30.99999 <-- Transformed Conical Variable
(Calculation completed in 00.004 seconds)

Credits

Created by Sanjay Krishna
Amrita School of Engineering (ASE), Vallikavu
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11 Approximate Methods of Hypersonic Inviscid Flowfields Calculators

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
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 Pressure for High Mach Number
Go Non Dimensionalized Pressure = (2*(sin(Wave Angle)^2))/(Specific Heat Ratio+1)
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
Transformed Conical Variable with Wave Angle
Go Transformed Conical Variable = (Wave Angle*(180/pi))/Slenderness Ratio
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)
Non-Dimensional Density
Go Non Dimensionalized Density = Density/Liquid Density
Slenderness Ratio with Cone Radius for Hypersonic Vehicle
Go Slenderness Ratio = Radius of Cone/Height of Cone

Transformed Conical Variable with Cone Angle in Hypersonic Flow Formula

Transformed Conical Variable = (Wave Angle*(180/pi))/Semi Angle of Cone
θ- = (β*(180/pi))/α

What is wave angle?

Wave angle is the shock angle created by the oblique shock, this is not similar to the mach angle, it is formed when body moves at hypersonic speed in a fluid

How to Calculate Transformed Conical Variable with Cone Angle in Hypersonic Flow?

Transformed Conical Variable with Cone Angle in Hypersonic Flow calculator uses Transformed Conical Variable = (Wave Angle*(180/pi))/Semi Angle of Cone to calculate the Transformed Conical Variable, The Transformed conical variable with cone angle in hypersonic flow formula is defined as the ratio of wave angle to the cone angle in hypersonic flow. Transformed Conical Variable is denoted by θ- symbol.

How to calculate Transformed Conical Variable with Cone Angle in Hypersonic Flow using this online calculator? To use this online calculator for Transformed Conical Variable with Cone Angle in Hypersonic Flow, enter Wave Angle (β) & Semi Angle of Cone (α) and hit the calculate button. Here is how the Transformed Conical Variable with Cone Angle in Hypersonic Flow calculation can be explained with given input values -> 31.29609 = (0.286*(180/pi))/0.5286.

FAQ

What is Transformed Conical Variable with Cone Angle in Hypersonic Flow?
The Transformed conical variable with cone angle in hypersonic flow formula is defined as the ratio of wave angle to the cone angle in hypersonic flow and is represented as θ- = (β*(180/pi))/α or Transformed Conical Variable = (Wave Angle*(180/pi))/Semi Angle of Cone. Wave Angle is the shock angle created by the oblique shock, this is not similar to the mach angle & Semi Angle of Cone is the semi-vertical angle formed by the cone.
How to calculate Transformed Conical Variable with Cone Angle in Hypersonic Flow?
The Transformed conical variable with cone angle in hypersonic flow formula is defined as the ratio of wave angle to the cone angle in hypersonic flow is calculated using Transformed Conical Variable = (Wave Angle*(180/pi))/Semi Angle of Cone. To calculate Transformed Conical Variable with Cone Angle in Hypersonic Flow, you need Wave Angle (β) & Semi Angle of Cone (α). With our tool, you need to enter the respective value for Wave Angle & Semi Angle of Cone 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 Transformed Conical Variable?
In this formula, Transformed Conical Variable uses Wave Angle & Semi Angle of Cone. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Transformed Conical Variable = (Wave Angle*(180/pi))/Slenderness Ratio
  • Transformed Conical Variable = Radius of Cone/(Slenderness Ratio*Height of Cone)
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