Non-Dimensional Pressure for High Mach Number Solution

STEP 0: Pre-Calculation Summary
Formula Used
Non Dimensionalized Pressure For High Mech Number = 2*(sin(Wave Angle))^2/(Specific Heat Ratio+1)
pmech = 2*(sin(β))^2/(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 Pressure For High Mech Number - Non Dimensionalized Pressure For High Mech Number is the technique which can ease the analysis of the problem at hand and reduce the number of free parameters.
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
pmech = 2*(sin(β))^2/(γ+1) --> 2*(sin(0.286))^2/(1.6+1)
Evaluating ... ...
pmech = 0.061223066160415
STEP 3: Convert Result to Output's Unit
0.061223066160415 --> No Conversion Required
FINAL ANSWER
0.061223066160415 0.061223 <-- Non Dimensionalized Pressure For High Mech Number
(Calculation completed in 00.004 seconds)

Credits

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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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Approximate Methods of Hypersonic Inviscid Flowfields Calculators

Non-Dimensional Pressure for High Mach Number
​ LaTeX ​ Go Non Dimensionalized Pressure For High Mech Number = 2*(sin(Wave Angle))^2/(Specific Heat Ratio+1)
Non-Dimensional Pressure
​ LaTeX ​ Go Non Dimensionalized Pressure = Pressure/(Density*Freestream Velocity^2)
Non-Dimensional Density for High Mach Number
​ LaTeX ​ Go Non Dimensionalized Density = (Specific Heat Ratio+1)/(Specific Heat Ratio-1)
Non-Dimensional Density
​ LaTeX ​ Go Non Dimensionalized Density = Density/Liquid Density

Non-Dimensional Pressure for High Mach Number Formula

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

What is Non-dimensionalization ?

n fluid mechanics, non-dimensionalization of the Navier–Stokes equations is the conversion of the Navier–Stokes equation to a nondimensional form. This technique can ease the analysis of the problem at hand, and reduce the number of free parameters

How to Calculate Non-Dimensional Pressure for High Mach Number?

Non-Dimensional Pressure for High Mach Number calculator uses Non Dimensionalized Pressure For High Mech Number = 2*(sin(Wave Angle))^2/(Specific Heat Ratio+1) to calculate the Non Dimensionalized Pressure For High Mech Number, Non-Dimensional Pressure for High Mach Number is a dimensionless quantity used in aerodynamics to characterize the pressure distribution on a body moving at high speeds, typically at Mach numbers greater than 0.3. It is defined as the ratio of the actual pressure to the dynamic pressure, and it helps in analyzing compressible flow phenomena. Non Dimensionalized Pressure For High Mech Number is denoted by pmech symbol.

How to calculate Non-Dimensional Pressure for High Mach Number using this online calculator? To use this online calculator for Non-Dimensional Pressure for High Mach Number, enter Wave Angle (β) & Specific Heat Ratio (γ) and hit the calculate button. Here is how the Non-Dimensional Pressure for High Mach Number calculation can be explained with given input values -> 0.061223 = 2*(sin(0.286))^2/(1.6+1).

FAQ

What is Non-Dimensional Pressure for High Mach Number?
Non-Dimensional Pressure for High Mach Number is a dimensionless quantity used in aerodynamics to characterize the pressure distribution on a body moving at high speeds, typically at Mach numbers greater than 0.3. It is defined as the ratio of the actual pressure to the dynamic pressure, and it helps in analyzing compressible flow phenomena and is represented as pmech = 2*(sin(β))^2/(γ+1) or Non Dimensionalized Pressure For High Mech Number = 2*(sin(Wave Angle))^2/(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 Pressure for High Mach Number?
Non-Dimensional Pressure for High Mach Number is a dimensionless quantity used in aerodynamics to characterize the pressure distribution on a body moving at high speeds, typically at Mach numbers greater than 0.3. It is defined as the ratio of the actual pressure to the dynamic pressure, and it helps in analyzing compressible flow phenomena is calculated using Non Dimensionalized Pressure For High Mech Number = 2*(sin(Wave Angle))^2/(Specific Heat Ratio+1). To calculate Non-Dimensional Pressure 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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