Temperature behind Oblique Shock for given Upstream Temperature and Normal Upstream Mach Number Calculator

✖Temperature Ahead of Oblique Shock refers to the temperature of a fluid or airflow before encountering an oblique shock wave.ⓘ Temperature Ahead of Oblique Shock [T_s1]			+10% -10%
✖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 Behind Oblique Shock signifies the temperature of a fluid or airflow after passing through an oblique shock wave.ⓘ Temperature behind Oblique Shock for given Upstream Temperature and Normal Upstream Mach Number [T_s2]

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Temperature behind Oblique Shock for given Upstream Temperature and Normal Upstream Mach Number Solution

STEP 0: Pre-Calculation Summary

Formula Used

Temperature Behind Oblique Shock = Temperature Ahead of 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_s2 = T_s1*((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 4 Variables

Variables Used

Temperature Behind Oblique Shock - (Measured in Kelvin) - Temperature Behind Oblique Shock signifies the temperature of a fluid or airflow after passing through an oblique shock wave.
Temperature Ahead of Oblique Shock - (Measured in Kelvin) - Temperature Ahead of Oblique Shock refers to the temperature of a fluid or airflow before encountering 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

Temperature Ahead of Oblique Shock: 288 Kelvin --> 288 Kelvin No Conversion Required
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_s2 = T_s1*((1+((2*γ_o)/(γ_o+1))*(M_n1^2-1))/((γ_o+1)*(M_n1^2)/(2+(γ_o-1)*M_n1^2))) --> 288*((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_s2 = 400.928747600831

STEP 3: Convert Result to Output's Unit

400.928747600831 Kelvin --> No Conversion Required

FINAL ANSWER

400.928747600831 ≈ 400.9287 Kelvin <-- Temperature Behind Oblique Shock

(Calculation completed in 00.004 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)

Temperature behind Oblique Shock for given Upstream Temperature and Normal Upstream Mach Number 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 behind Oblique Shock for given Upstream Temperature and Normal Upstream Mach Number?

Temperature behind Oblique Shock for given Upstream Temperature and Normal Upstream Mach Number calculator uses Temperature Behind Oblique Shock = Temperature Ahead of 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 Behind Oblique Shock, The Temperature behind Oblique Shock for given Upstream Temperature and Normal Upstream Mach Number formula calculates the temperature of the fluid immediately after encountering an oblique shock wave, given the initial temperature and Mach number of the flow. Temperature Behind Oblique Shock is denoted by T_s2 symbol.

How to calculate Temperature behind Oblique Shock for given Upstream Temperature and Normal Upstream Mach Number using this online calculator? To use this online calculator for Temperature behind Oblique Shock for given Upstream Temperature and Normal Upstream Mach Number, enter Temperature Ahead of Oblique Shock (T_s1), 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 behind Oblique Shock for given Upstream Temperature and Normal Upstream Mach Number calculation can be explained with given input values -> 400.9287 = 288*((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 behind Oblique Shock for given Upstream Temperature and Normal Upstream Mach Number?

The Temperature behind Oblique Shock for given Upstream Temperature and Normal Upstream Mach Number formula calculates the temperature of the fluid immediately after encountering an oblique shock wave, given the initial temperature and Mach number of the flow and is represented as T_s2 = T_s1*((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 Behind Oblique Shock = Temperature Ahead of 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))). Temperature Ahead of Oblique Shock refers to the temperature of a fluid or airflow before encountering an oblique shock wave, 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 behind Oblique Shock for given Upstream Temperature and Normal Upstream Mach Number?

The Temperature behind Oblique Shock for given Upstream Temperature and Normal Upstream Mach Number formula calculates the temperature of the fluid immediately after encountering an oblique shock wave, given the initial temperature and Mach number of the flow is calculated using Temperature Behind Oblique Shock = Temperature Ahead of 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 behind Oblique Shock for given Upstream Temperature and Normal Upstream Mach Number, you need Temperature Ahead of Oblique Shock (T_s1), 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 Temperature Ahead of Oblique Shock, 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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