Ratio of New and Old Temperature Formula

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Temperature ratio across shock is the ratio of downstream temperature to upstream temperature across the shock wave. Check FAQs
Tshockratio=(1+(γ-12)(Vncold))2
Tshockratio - Temperature Ratio across Shock?γ - Specific Heat Ratio?Vn - Normal velocity?cold - Old Speed of Sound?

Ratio of New and Old Temperature Example

With values
With units
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Here is how the Ratio of New and Old Temperature equation looks like with Values.

Here is how the Ratio of New and Old Temperature equation looks like with Units.

Here is how the Ratio of New and Old Temperature equation looks like.

3.5239Edit=(1+(1.6Edit-12)(1000Edit342Edit))2
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Ratio of New and Old Temperature Solution

Follow our step by step solution on how to calculate Ratio of New and Old Temperature?

FIRST Step Consider the formula
Tshockratio=(1+(γ-12)(Vncold))2
Next Step Substitute values of Variables
Tshockratio=(1+(1.6-12)(1000m/s342m/s))2
Next Step Prepare to Evaluate
Tshockratio=(1+(1.6-12)(1000342))2
Next Step Evaluate
Tshockratio=3.52385349338258
LAST Step Rounding Answer
Tshockratio=3.5239

Ratio of New and Old Temperature Formula Elements

Variables
Temperature Ratio across Shock
Temperature ratio across shock is the ratio of downstream temperature to upstream temperature across the shock wave.
Symbol: Tshockratio
Measurement: NAUnit: Unitless
Note: Value should be greater than 0.
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.
Symbol: γ
Measurement: NAUnit: Unitless
Note: Value can be positive or negative.
Normal velocity
Normal velocity is the velocity normal to the shock formation.
Symbol: Vn
Measurement: SpeedUnit: m/s
Note: Value can be positive or negative.
Old Speed of Sound
Old speed of sound is the speed of sound before the shock.
Symbol: cold
Measurement: SpeedUnit: m/s
Note: Value can be positive or negative.

Other formulas in Shock Dynamics and Aerodynamic Shape category

​Go Grid Point Calculation for Shock Waves
ζ=y-b𝛿
​Go Mach Wave behind Shock
M2=V-Wmcspeed
​Go Mach Wave behind Shock with Mach Infinity
M1=M-Wcspeed
​Go Local Shock Velocity Equation
W=cspeed(M-M1)

How to Evaluate Ratio of New and Old Temperature?

Ratio of New and Old Temperature evaluator uses Temperature Ratio across Shock = (1+((Specific Heat Ratio-1)/2)*(Normal velocity/Old Speed of Sound))^(2) to evaluate the Temperature Ratio across Shock, The Ratio of New and Old Temperature formula is defined as a dimensionless quantity used to relate the temperature of a gas after a shock wave to its temperature before the shock, commonly used in hypersonic inviscid flow to analyze high-speed flow phenomena. Temperature Ratio across Shock is denoted by Tshockratio symbol.

How to evaluate Ratio of New and Old Temperature using this online evaluator? To use this online evaluator for Ratio of New and Old Temperature, enter Specific Heat Ratio (γ), Normal velocity (Vn) & Old Speed of Sound (cold) and hit the calculate button.

FAQs on Ratio of New and Old Temperature

What is the formula to find Ratio of New and Old Temperature?
The formula of Ratio of New and Old Temperature is expressed as Temperature Ratio across Shock = (1+((Specific Heat Ratio-1)/2)*(Normal velocity/Old Speed of Sound))^(2). Here is an example- 3.523853 = (1+((1.6-1)/2)*1000/342)^(2).
How to calculate Ratio of New and Old Temperature?
With Specific Heat Ratio (γ), Normal velocity (Vn) & Old Speed of Sound (cold) we can find Ratio of New and Old Temperature using the formula - Temperature Ratio across Shock = (1+((Specific Heat Ratio-1)/2)*(Normal velocity/Old Speed of Sound))^(2).
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