Temperature 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%

✖Temperature Ratio Across Oblique Shock indicates the ratio of temperatures before and after passing through an oblique shock wave.ⓘ Temperature Ratio across Oblique Shock [T_r]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Oblique Shock and Expansion Waves Formulas PDF PDF Image

Temperature Ratio across Oblique Shock Solution

STEP 0: Pre-Calculation Summary

Formula Used

Temperature 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))/((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))
T_r = (1+((2*γ_o)/(γ_o+1))*(M_n1^2-1))/((γ_o+1)*(M_n1^2)/(2+(γ_o-1)*M_n1^2))
This formula uses 3 Variables

Variables Used

Temperature Ratio Across Oblique Shock - Temperature Ratio Across Oblique Shock indicates the ratio of temperatures 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

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

Evaluating ... ...

T_r = 1.39211370694733

STEP 3: Convert Result to Output's Unit

1.39211370694733 --> No Conversion Required

FINAL ANSWER

1.39211370694733 ≈ 1.392114 <-- Temperature Ratio Across Oblique Shock

(Calculation completed in 00.020 seconds)

You are here -

Home » Physics » Aerodynamics » Compressible Flow » Oblique Shock and Expansion Waves » Aerospace » Oblique Shock » Temperature Ratio across Oblique Shock

Credits

Created by Shikha Maurya

Indian Institute of Technology (IIT), Bombay

Shikha Maurya has created this Calculator and 100+ more calculators!

Verified by Maiarutselvan V

PSG College of Technology (PSGCT), Coimbatore

Maiarutselvan V has verified this Calculator and 300+ more calculators!

< 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)

Temperature Ratio across Oblique Shock Formula

LaTeX Go

What is the physical mechanism that creates waves in a supersonic flow?

The physical generation of waves in a supersonic flow-both shock and expansion waves-is due to the propagation of information via molecular collisions and due to the fact that such propagation cannot work its way into certain regions of the supersonic flow.

Which component of flow velocity describe changes of flow properties across oblique shock?

By applying continuity, momentum and energy equation across oblique we obtain that the tangential component of the flow velocity does not appear in governing equations and it is constant across an oblique shock and changes across an oblique shock wave are governed only by the component of velocity normal to the wave.

How to Calculate Temperature Ratio across Oblique Shock?

Temperature Ratio across Oblique Shock calculator uses Temperature 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))/((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)) to calculate the Temperature Ratio Across Oblique Shock, The Temperature Ratio across Oblique Shock formula is the relative change in temperature experienced by the fluid as it crosses the shock wave. obtained by substituting the normal component of upstream Mach no. in the temperature ratio formula for the normal shock. Temperature Ratio Across Oblique Shock is denoted by T_r symbol.

How to calculate Temperature Ratio across Oblique Shock using this online calculator? To use this online calculator for Temperature 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 Temperature Ratio across Oblique Shock calculation can be explained with given input values -> 1.392114 = (1+((2*1.4)/(1.4+1))*(1.606^2-1))/((1.4+1)*(1.606^2)/(2+(1.4-1)*1.606^2)).

FAQ

What is Temperature Ratio across Oblique Shock?

The Temperature Ratio across Oblique Shock formula is the relative change in temperature experienced by the fluid as it crosses the shock wave. obtained by substituting the normal component of upstream Mach no. in the temperature ratio formula for the normal shock and is represented as T_r = (1+((2*γ_o)/(γ_o+1))*(M_n1^2-1))/((γ_o+1)*(M_n1^2)/(2+(γ_o-1)*M_n1^2)) or Temperature 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))/((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)). 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 Temperature Ratio across Oblique Shock?

The Temperature Ratio across Oblique Shock formula is the relative change in temperature experienced by the fluid as it crosses the shock wave. obtained by substituting the normal component of upstream Mach no. in the temperature ratio formula for the normal shock is calculated using Temperature 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))/((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)). To calculate Temperature 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.

Home

FREE PDFs

🔍 Search