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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. Check FAQs
θ-=β(180π)α
θ- - Transformed Conical Variable?β - Wave Angle?α - Semi Angle of Cone?π - Archimedes' constant?

Transformed Conical Variable with Cone Angle in Hypersonic Flow Example

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Here is how the Transformed Conical Variable with Cone Angle in Hypersonic Flow equation looks like with Values.

Here is how the Transformed Conical Variable with Cone Angle in Hypersonic Flow equation looks like with Units.

Here is how the Transformed Conical Variable with Cone Angle in Hypersonic Flow equation looks like.

1.9001Edit=0.286Edit(1803.1416)8.624Edit
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Transformed Conical Variable with Cone Angle in Hypersonic Flow Solution

Follow our step by step solution on how to calculate Transformed Conical Variable with Cone Angle in Hypersonic Flow?

FIRST Step Consider the formula
θ-=β(180π)α
Next Step Substitute values of Variables
θ-=0.286rad(180π)8.624rad
Next Step Substitute values of Constants
θ-=0.286rad(1803.1416)8.624rad
Next Step Prepare to Evaluate
θ-=0.286(1803.1416)8.624
Next Step Evaluate
θ-=1.90011513691344
LAST Step Rounding Answer
θ-=1.9001

Transformed Conical Variable with Cone Angle in Hypersonic Flow Formula Elements

Variables
Constants
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.
Symbol: θ-
Measurement: NAUnit: Unitless
Note: Value should be greater than 0.
Wave Angle
Wave Angle is the shock angle created by the oblique shock, this is not similar to the mach angle.
Symbol: β
Measurement: AngleUnit: rad
Note: Value should be greater than 0.
Semi Angle of Cone
Semi Angle of Cone is the semi vertical angle formed by the cone.
Symbol: α
Measurement: AngleUnit: rad
Note: Value should be greater than 0.
Archimedes' constant
Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.
Symbol: π
Value: 3.14159265358979323846264338327950288

Other Formulas to find Transformed Conical Variable

​Go Transformed Conical Variable
θ-=RλH

Other formulas in Approximate Methods of Hypersonic Inviscid Flowfields category

​Go Non-Dimensional Pressure
p-=PρV2
​Go Non-Dimensional Density
ρ-=ρρliq
​Go Non-Dimensional Pressure for High Mach Number
pmech=2(sin(β))2γ+1
​Go Non-Dimensional Density for High Mach Number
ρ-=γ+1γ-1

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

Transformed Conical Variable with Cone Angle in Hypersonic Flow evaluator uses Transformed Conical Variable = (Wave Angle*(180/pi))/Semi Angle of Cone to evaluate the Transformed Conical Variable, Transformed Conical Variable with Cone Angle in Hypersonic Flow is a fundamental concept in aerodynamics and fluid mechanics, particularly in the study of high-speed flows encountered in hypersonic flight, this formula characterizes the transformation of flow variables in hypersonic flows over a conical surface. It is instrumental in understanding the behavior of aerodynamic parameters such as pressure, density, and temperature in hypersonic flight regimes. Transformed Conical Variable is denoted by θ- symbol.

How to evaluate Transformed Conical Variable with Cone Angle in Hypersonic Flow using this online evaluator? To use this online evaluator for Transformed Conical Variable with Cone Angle in Hypersonic Flow, enter Wave Angle (β) & Semi Angle of Cone (α) and hit the calculate button.

FAQs on Transformed Conical Variable with Cone Angle in Hypersonic Flow

What is the formula to find Transformed Conical Variable with Cone Angle in Hypersonic Flow?
The formula of Transformed Conical Variable with Cone Angle in Hypersonic Flow is expressed as Transformed Conical Variable = (Wave Angle*(180/pi))/Semi Angle of Cone. Here is an example- 1.940588 = (0.286*(180/pi))/8.624.
How to calculate Transformed Conical Variable with Cone Angle in Hypersonic Flow?
With Wave Angle (β) & Semi Angle of Cone (α) we can find Transformed Conical Variable with Cone Angle in Hypersonic Flow using the formula - Transformed Conical Variable = (Wave Angle*(180/pi))/Semi Angle of Cone. This formula also uses Archimedes' constant .
What are the other ways to Calculate Transformed Conical Variable?
Here are the different ways to Calculate Transformed Conical Variable-
  • Transformed Conical Variable=Radius of Cone/(Slenderness Ratio*Height of Cone)OpenImg
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