Exact Pressure Ratio Solution

STEP 0: Pre-Calculation Summary
Formula Used
Pressure Ratio = 1+2*Specific Heat Ratio/(Specific Heat Ratio+1)*((Mach Number*sin(Wave Angle))^2-1)
rp = 1+2*Y/(Y+1)*((M*sin(β))^2-1)
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
Pressure Ratio - Pressure Ratio is ratio of final to initial pressure.
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.
Mach Number - Mach number is a dimensionless quantity representing the ratio of flow velocity past a boundary to the local speed of sound.
Wave Angle - (Measured in Radian) - Wave Angle is the shock angle created by the oblique shock, this is not similar to the mach angle.
STEP 1: Convert Input(s) to Base Unit
Specific Heat Ratio: 1.6 --> No Conversion Required
Mach Number: 8 --> No Conversion Required
Wave Angle: 0.286 Radian --> 0.286 Radian No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
rp = 1+2*Y/(Y+1)*((M*sin(β))^2-1) --> 1+2*1.6/(1.6+1)*((8*sin(0.286))^2-1)
Evaluating ... ...
rp = 6.03847274405726
STEP 3: Convert Result to Output's Unit
6.03847274405726 --> No Conversion Required
FINAL ANSWER
6.03847274405726 6.038473 <-- Pressure Ratio
(Calculation completed in 00.004 seconds)

Credits

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Created by Sanjay Krishna
Amrita School of Engineering (ASE), Vallikavu
Sanjay Krishna has created this Calculator and 300+ more calculators!
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Verified by Rushi Shah
K J Somaiya College of Engineering (K J Somaiya), Mumbai
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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

Exact Pressure Ratio Formula

​LaTeX ​Go
Pressure Ratio = 1+2*Specific Heat Ratio/(Specific Heat Ratio+1)*((Mach Number*sin(Wave Angle))^2-1)
rp = 1+2*Y/(Y+1)*((M*sin(β))^2-1)

What is exact pressure ratio of oblique shock relation?

Pressure ratio or overall pressure ratio, is the ratio of the stagnation pressure as measured at the front and rear of the body moving in hypersonic flow.

How to Calculate Exact Pressure Ratio?

Exact Pressure Ratio calculator uses Pressure Ratio = 1+2*Specific Heat Ratio/(Specific Heat Ratio+1)*((Mach Number*sin(Wave Angle))^2-1) to calculate the Pressure Ratio, Exact Pressure Ratio formula is defined as a dimensionless quantity that characterizes the compression of a flow across an oblique shock wave, providing a crucial parameter in the analysis of high-speed fluid flows and their applications in aerospace engineering. Pressure Ratio is denoted by rp symbol.

How to calculate Exact Pressure Ratio using this online calculator? To use this online calculator for Exact Pressure Ratio, enter Specific Heat Ratio (Y), Mach Number (M) & Wave Angle (β) and hit the calculate button. Here is how the Exact Pressure Ratio calculation can be explained with given input values -> 6.038473 = 1+2*1.6/(1.6+1)*((8*sin(0.286))^2-1).

FAQ

What is Exact Pressure Ratio?
Exact Pressure Ratio formula is defined as a dimensionless quantity that characterizes the compression of a flow across an oblique shock wave, providing a crucial parameter in the analysis of high-speed fluid flows and their applications in aerospace engineering and is represented as rp = 1+2*Y/(Y+1)*((M*sin(β))^2-1) or Pressure Ratio = 1+2*Specific Heat Ratio/(Specific Heat Ratio+1)*((Mach Number*sin(Wave Angle))^2-1). 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, Mach number is a dimensionless quantity representing the ratio of flow velocity past a boundary to the local speed of sound & Wave Angle is the shock angle created by the oblique shock, this is not similar to the mach angle.
How to calculate Exact Pressure Ratio?
Exact Pressure Ratio formula is defined as a dimensionless quantity that characterizes the compression of a flow across an oblique shock wave, providing a crucial parameter in the analysis of high-speed fluid flows and their applications in aerospace engineering is calculated using Pressure Ratio = 1+2*Specific Heat Ratio/(Specific Heat Ratio+1)*((Mach Number*sin(Wave Angle))^2-1). To calculate Exact Pressure Ratio, you need Specific Heat Ratio (Y), Mach Number (M) & Wave Angle (β). With our tool, you need to enter the respective value for Specific Heat Ratio, Mach Number & Wave Angle 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 Pressure Ratio?
In this formula, Pressure Ratio uses Specific Heat Ratio, Mach Number & Wave Angle. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Pressure Ratio = (2*Specific Heat Ratio)/(Specific Heat Ratio+1)*(Mach Number*sin(Wave Angle))^2
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