Pressure Ratio across Oblique Shock Calculator

✖The Specific Heat Ratio Oblique Shock is the ratio of the heat capacity at constant pressure to heat capacity at constant volume.ⓘ Specific Heat Ratio Oblique Shock [γ_o]			+10% -10%
✖Upstream Mach Normal to Oblique Shock represents the Mach number's component aligned with the shock wave's normal direction.ⓘ Upstream Mach Normal to Oblique Shock [M_n1]			+10% -10%

✖Pressure Ratio Across Oblique Shock indicates the ratio of pressures before and after passing through an oblique shock wave.ⓘ Pressure Ratio across Oblique Shock [P_r]

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Pressure Ratio across Oblique Shock Solution

STEP 0: Pre-Calculation Summary

Formula Used

Pressure Ratio Across Oblique Shock = 1+((2*Specific Heat Ratio Oblique Shock)/(Specific Heat Ratio Oblique Shock+1))*(Upstream Mach Normal to Oblique Shock^2-1)
P_r = 1+((2*γ_o)/(γ_o+1))*(M_n1^2-1)
This formula uses 3 Variables

Variables Used

Pressure Ratio Across Oblique Shock - Pressure Ratio Across Oblique Shock indicates the ratio of pressures before and after passing through an oblique shock wave.
Specific Heat Ratio Oblique Shock - The Specific Heat Ratio Oblique Shock is the ratio of the heat capacity at constant pressure to heat capacity at constant volume.
Upstream Mach Normal to Oblique Shock - Upstream Mach Normal to Oblique Shock represents the Mach number's component aligned with the shock wave's normal direction.

STEP 1: Convert Input(s) to Base Unit

Specific Heat Ratio Oblique Shock: 1.4 --> No Conversion Required
Upstream Mach Normal to Oblique Shock: 1.606 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P_r = 1+((2*γ_o)/(γ_o+1))*(M_n1^2-1) --> 1+((2*1.4)/(1.4+1))*(1.606^2-1)

Evaluating ... ...

P_r = 2.842442

STEP 3: Convert Result to Output's Unit

2.842442 --> No Conversion Required

FINAL ANSWER

2.842442 <-- Pressure Ratio Across Oblique Shock

(Calculation completed in 00.006 seconds)

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Created by Shikha Maurya

Indian Institute of Technology (IIT), Bombay

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PSG College of Technology (PSGCT), Coimbatore

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< Oblique Shock Calculators

Flow Deflection Angle due to Oblique Shock

LaTeX Go Flow Deflection Angle Oblique Shock = atan((2*cot(Oblique Shock Angle)*((Mach Number Ahead of Oblique Shock*sin(Oblique Shock Angle))^2-1))/(Mach Number Ahead of Oblique Shock^2*(Specific Heat Ratio Oblique Shock+cos(2*Oblique Shock Angle))+2))

Density Ratio across Oblique Shock

LaTeX Go Density Ratio Across Oblique Shock = (Specific Heat Ratio Oblique Shock+1)*(Upstream Mach Normal to Oblique Shock^2)/(2+(Specific Heat Ratio Oblique Shock-1)*Upstream Mach Normal to Oblique Shock^2)

Component of Downstream Mach Normal to Oblique Shock

LaTeX Go Downstream Mach Normal to Oblique Shock = Mach Number Behind Oblique Shock*sin(Oblique Shock Angle-Flow Deflection Angle Oblique Shock)

Component of Upstream Mach Normal to Oblique Shock

LaTeX Go Upstream Mach Normal to Oblique Shock = Mach Number Ahead of Oblique Shock*sin(Oblique Shock Angle)

Pressure Ratio across Oblique Shock Formula

LaTeX Go

Which inlet design of supersonic jet engine is preferable?

A normal shock inlet forms a normal shock ahead of the inlet, with an attendant large loss in total pressure. In contrast, an oblique shock inlet creates an oblique shock wave, and the flow subsequently passes through a relatively weak normal shock at the lip of the inlet. For the same flight conditions (Mach number and altitude), the total pressure loss for the oblique shock inlet is less than for a normal shock inlet. Hence, everything else being equal, the resulting engine thrust will be higher for the oblique shock inlet. Therefore, oblique shock inlets are preffered.

What does total pressure indicates?

The total pressure is an indicator of how much useful work can be done by gas. Everything else being equal, the higher the total pressure, the more useful is the flow.

How to Calculate Pressure Ratio across Oblique Shock?

Pressure Ratio across Oblique Shock calculator uses Pressure Ratio Across Oblique Shock = 1+((2*Specific Heat Ratio Oblique Shock)/(Specific Heat Ratio Oblique Shock+1))*(Upstream Mach Normal to Oblique Shock^2-1) to calculate the Pressure Ratio Across Oblique Shock, Pressure Ratio across Oblique Shock formula is defined as the relationship between the pressure directly behind the shock wave and the pressure just ahead of it. It characterizes the alteration in pressure experienced by the flow as it encounters the shock wave.it is obtained by substituting the normal component of upstream Mach no. in the pressure ratio formula for the normal shock. Pressure Ratio Across Oblique Shock is denoted by P_r symbol.

How to calculate Pressure Ratio across Oblique Shock using this online calculator? To use this online calculator for Pressure Ratio across Oblique Shock, enter Specific Heat Ratio Oblique Shock (γ_o) & Upstream Mach Normal to Oblique Shock (M_n1) and hit the calculate button. Here is how the Pressure Ratio across Oblique Shock calculation can be explained with given input values -> 2.842442 = 1+((2*1.4)/(1.4+1))*(1.606^2-1).

FAQ

What is Pressure Ratio across Oblique Shock?

Pressure Ratio across Oblique Shock formula is defined as the relationship between the pressure directly behind the shock wave and the pressure just ahead of it. It characterizes the alteration in pressure experienced by the flow as it encounters the shock wave.it is obtained by substituting the normal component of upstream Mach no. in the pressure ratio formula for the normal shock and is represented as P_r = 1+((2*γ_o)/(γ_o+1))*(M_n1^2-1) or Pressure Ratio Across Oblique Shock = 1+((2*Specific Heat Ratio Oblique Shock)/(Specific Heat Ratio Oblique Shock+1))*(Upstream Mach Normal to Oblique Shock^2-1). The Specific Heat Ratio Oblique Shock is the ratio of the heat capacity at constant pressure to heat capacity at constant volume & Upstream Mach Normal to Oblique Shock represents the Mach number's component aligned with the shock wave's normal direction.

How to calculate Pressure Ratio across Oblique Shock?

Pressure Ratio across Oblique Shock formula is defined as the relationship between the pressure directly behind the shock wave and the pressure just ahead of it. It characterizes the alteration in pressure experienced by the flow as it encounters the shock wave.it is obtained by substituting the normal component of upstream Mach no. in the pressure ratio formula for the normal shock is calculated using Pressure Ratio Across Oblique Shock = 1+((2*Specific Heat Ratio Oblique Shock)/(Specific Heat Ratio Oblique Shock+1))*(Upstream Mach Normal to Oblique Shock^2-1). To calculate Pressure Ratio across Oblique Shock, you need Specific Heat Ratio Oblique Shock (γ_o) & Upstream Mach Normal to Oblique Shock (M_n1). With our tool, you need to enter the respective value for Specific Heat Ratio Oblique Shock & Upstream Mach Normal to Oblique Shock 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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