Ratio of New and Old Temperature Calculator

✖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.ⓘ Specific Heat Ratio [γ]			+10% -10%
✖Normal velocity is the velocity normal to the shock formation.ⓘ Normal velocity [Vn]			+10% -10%
✖Old speed of sound is the speed of sound before the shock.ⓘ Old Speed of Sound [c_old]			+10% -10%

✖Temperature ratio across shock is the ratio of downstream temperature to upstream temperature across the shock wave.ⓘ Ratio of New and Old Temperature [Tshock_ratio]

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Formula

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Ratio of New and Old Temperature

Formula

`"Tshock"_{"ratio"} = (1+(("γ"-1)/2)*("Vn"/"c"_{"old"}))^(2)`

Example

`"3.523853"=(1+(("1.6"-1)/2)*("1000m/s"/"342m/s"))^(2)`

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Ratio of New and Old Temperature Solution

STEP 0: Pre-Calculation Summary

Formula Used

Temperature Ratio across Shock = (1+((Specific Heat Ratio-1)/2)*(Normal velocity/Old Speed of Sound))^(2)
Tshock_ratio = (1+((γ-1)/2)*(Vn/c_old))^(2)
This formula uses 4 Variables

Variables Used

Temperature Ratio across Shock - Temperature ratio across shock is the ratio of downstream temperature to upstream temperature across the shock wave.
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.
Normal velocity - (Measured in Meter per Second) - Normal velocity is the velocity normal to the shock formation.
Old Speed of Sound - (Measured in Meter per Second) - Old speed of sound is the speed of sound before the shock.

STEP 1: Convert Input(s) to Base Unit

Specific Heat Ratio: 1.6 --> No Conversion Required
Normal velocity: 1000 Meter per Second --> 1000 Meter per Second No Conversion Required
Old Speed of Sound: 342 Meter per Second --> 342 Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Tshock_ratio = (1+((γ-1)/2)*(Vn/c_old))^(2) --> (1+((1.6-1)/2)*(1000/342))^(2)

Evaluating ... ...

Tshock_ratio = 3.52385349338258

STEP 3: Convert Result to Output's Unit

3.52385349338258 --> No Conversion Required

FINAL ANSWER

3.52385349338258 ≈ 3.523853 <-- Temperature Ratio across Shock

(Calculation completed in 00.004 seconds)

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Created by Sanjay Krishna

Amrita School of Engineering (ASE), Vallikavu

Sanjay Krishna has created this Calculator and 300+ more calculators!

Verified by Maiarutselvan V

PSG College of Technology (PSGCT), Coimbatore

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

< 10+ Shock Dynamics and Aerodynamic Shape Calculators

Pressure Ratio for Unsteady Waves

Go Pressure Ratio = (1+((Specific Heat Ratio-1)/2)*(Induced Mass Motion/Speed of Sound))^(2*Specific Heat Ratio/(Specific Heat Ratio-1))

Ratio of New and Old Temperature

Go Temperature Ratio across Shock = (1+((Specific Heat Ratio-1)/2)*(Normal velocity/Old Speed of Sound))^(2)

Grid Point Calculation for Shock Waves

Go Grid Points = (Distance from X-Axis-Body shape in hypersonic flow)/Local Shock-detachment Distance

Mach Wave behind Shock

Go Mach Number behind shock = (Freestream Velocity-Local Shock Velocity for Mach Wave)/Speed of Sound

Local Shock Velocity Equation

Go Local Shock Velocity = Speed of Sound*(Mach Number-Mach Number ahead of shock)

Mach Wave behind Shock with Mach Infinity

Go Mach Number ahead of shock = Mach Number-Local Shock Velocity/Speed of Sound

Nose Radius of Cylinder-Wedge

Go Radius = Local Shock-detachment Distance/(0.386*exp(4.67/(Mach Number^2)))

Nose Radius of Sphere Cone

Go Radius = Local Shock-detachment Distance/(0.143*exp(3.24/(Mach Number^2)))

Detachment Distance of Cylinder Wedge Body Shape

Go Local Shock-detachment Distance = Radius*0.386*exp(4.67/(Mach Number^2))

Detachment Distance of Sphere Cone Body Shape

Go Local Shock-detachment Distance = Radius*0.143*exp(3.24/(Mach Number^2))

Ratio of New and Old Temperature Formula

Temperature Ratio across Shock = (1+((Specific Heat Ratio-1)/2)*(Normal velocity/Old Speed of Sound))^(2)
Tshock_ratio = (1+((γ-1)/2)*(Vn/c_old))^(2)

What is specific heat ratio?

In thermal physics and thermodynamics, the heat capacity ratio, also known as the adiabatic index, the ratio of specific heats, or Laplace's coefficient, is the ratio of the heat capacity at constant pressure (CP) to heat capacity at constant volume (CV).

How to Calculate Ratio of New and Old Temperature?

Ratio of New and Old Temperature calculator uses Temperature Ratio across Shock = (1+((Specific Heat Ratio-1)/2)*(Normal velocity/Old Speed of Sound))^(2) to calculate the Temperature Ratio across Shock, The Ratio of new and old temperature formula is defined as the interrelation between specific heat ratio, speed of sound during the unsteady waves and normal velocity, and old speed of sound and pressure after shock formation. Temperature Ratio across Shock is denoted by Tshock_ratio symbol.

How to calculate Ratio of New and Old Temperature using this online calculator? To use this online calculator for Ratio of New and Old Temperature, enter Specific Heat Ratio (γ), Normal velocity (Vn) & Old Speed of Sound (c_old) and hit the calculate button. Here is how the Ratio of New and Old Temperature calculation can be explained with given input values -> 3.523853 = (1+((1.6-1)/2)*(1000/342))^(2).

FAQ

What is Ratio of New and Old Temperature?

The Ratio of new and old temperature formula is defined as the interrelation between specific heat ratio, speed of sound during the unsteady waves and normal velocity, and old speed of sound and pressure after shock formation and is represented as Tshock_ratio = (1+((γ-1)/2)*(Vn/c_old))^(2) or Temperature Ratio across Shock = (1+((Specific Heat Ratio-1)/2)*(Normal velocity/Old Speed of Sound))^(2). 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, Normal velocity is the velocity normal to the shock formation & Old speed of sound is the speed of sound before the shock.

How to calculate Ratio of New and Old Temperature?

The Ratio of new and old temperature formula is defined as the interrelation between specific heat ratio, speed of sound during the unsteady waves and normal velocity, and old speed of sound and pressure after shock formation is calculated using Temperature Ratio across Shock = (1+((Specific Heat Ratio-1)/2)*(Normal velocity/Old Speed of Sound))^(2). To calculate Ratio of New and Old Temperature, you need Specific Heat Ratio (γ), Normal velocity (Vn) & Old Speed of Sound (c_old). With our tool, you need to enter the respective value for Specific Heat Ratio, Normal velocity & Old Speed of Sound 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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