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Indian Institute of Technology (IIT), Bombay
Shikha Maurya has created this Calculator and 100+ more calculators!
Indian Institute for Aeronautical Engineering and Information Technology (IIAEIT), Pune
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Critical Temperature Solution

STEP 0: Pre-Calculation Summary
Formula Used
sonic_temp = (2/(Specific heat ratio+1))*(Stagnation Temperature)
T* = (2/(κ+1))*(T0)
This formula uses 2 Variables
Variables Used
Specific heat ratio- The Specific heat ratio is the ratio of the heat capacity at constant pressure to heat capacity at constant volume.
Stagnation Temperature - Stagnation temperature is defined as the temperature at a stagnation point in a fluid flow (Measured in Kelvin)
STEP 1: Convert Input(s) to Base Unit
Specific heat ratio: 1.392758 --> No Conversion Required
Stagnation Temperature: 100 Kelvin --> 100 Kelvin No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
T* = (2/(κ+1))*(T0) --> (2/(1.392758+1))*(100)
Evaluating ... ...
T* = 83.5855527387224
STEP 3: Convert Result to Output's Unit
83.5855527387224 Kelvin --> No Conversion Required
FINAL ANSWER
83.5855527387224 Kelvin <-- Critical Temperature
(Calculation completed in 00.004 seconds)

6 Basic Compressible Flow Calculators

Critical Pressure
sonic_pressure = (2/(Specific heat ratio+1))^(Specific heat ratio/(Specific heat ratio-1))*(Stagnation pressure at a point in fluid flow) Go
Ratio of stagnation and static pressure
stagnation_to_static_pressure = (1+(((Specific Heat Ratio-1)/2)*(Mach Number^2)))^(Specific Heat Ratio/(Specific Heat Ratio-1)) Go
Ratio of Stagnation and Static Density
stagnation_to_static_density = (1+(((Specific Heat Ratio-1)/2)*(Mach Number^2)))^(1/(Specific Heat Ratio-1)) Go
Critical Density
sonic_density = Stagnation density*(2/(Specific heat ratio+1))^(1/(Specific heat ratio-1)) Go
Ratio of Stagnation and Static Temperature
stagnation_to_static_temp = 1+(((Specific Heat Ratio-1)/2)*(Mach Number^2)) Go
Critical Temperature
sonic_temp = (2/(Specific heat ratio+1))*(Stagnation Temperature) Go

Critical Temperature Formula

sonic_temp = (2/(Specific heat ratio+1))*(Stagnation Temperature)
T* = (2/(κ+1))*(T0)

What is the critical temperature?

The Critical Temperature is defined as the temperature at a point in a fluid flow when the flow is accelerated or decelerated to sonic condition isentropically

How to Calculate Critical Temperature?

Critical Temperature calculator uses sonic_temp = (2/(Specific heat ratio+1))*(Stagnation Temperature) to calculate the Critical Temperature, The Critical Temperature at a point in a fluid flow is defined as the temperature that would exist if the flow becomes sonic at that point. Critical Temperature and is denoted by T* symbol.

How to calculate Critical Temperature using this online calculator? To use this online calculator for Critical Temperature, enter Specific heat ratio (κ) and Stagnation Temperature (T0 and hit the calculate button. Here is how the Critical Temperature calculation can be explained with given input values -> 83.58555 = (2/(1.392758+1))*(100).

FAQ

What is Critical Temperature?
The Critical Temperature at a point in a fluid flow is defined as the temperature that would exist if the flow becomes sonic at that point and is represented as T* = (2/(κ+1))*(T0) or sonic_temp = (2/(Specific heat ratio+1))*(Stagnation Temperature). The Specific heat ratio is the ratio of the heat capacity at constant pressure to heat capacity at constant volume and Stagnation temperature is defined as the temperature at a stagnation point in a fluid flow.
How to calculate Critical Temperature?
The Critical Temperature at a point in a fluid flow is defined as the temperature that would exist if the flow becomes sonic at that point is calculated using sonic_temp = (2/(Specific heat ratio+1))*(Stagnation Temperature). To calculate Critical Temperature, you need Specific heat ratio (κ) and Stagnation Temperature (T0. With our tool, you need to enter the respective value for Specific heat ratio and Stagnation Temperature and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Critical Temperature?
In this formula, Critical Temperature uses Specific heat ratio and Stagnation Temperature. We can use 6 other way(s) to calculate the same, which is/are as follows -
  • stagnation_to_static_temp = 1+(((Specific Heat Ratio-1)/2)*(Mach Number^2))
  • stagnation_to_static_density = (1+(((Specific Heat Ratio-1)/2)*(Mach Number^2)))^(1/(Specific Heat Ratio-1))
  • stagnation_to_static_pressure = (1+(((Specific Heat Ratio-1)/2)*(Mach Number^2)))^(Specific Heat Ratio/(Specific Heat Ratio-1))
  • sonic_density = Stagnation density*(2/(Specific heat ratio+1))^(1/(Specific heat ratio-1))
  • sonic_pressure = (2/(Specific heat ratio+1))^(Specific heat ratio/(Specific heat ratio-1))*(Stagnation pressure at a point in fluid flow)
  • sonic_temp = (2/(Specific heat ratio+1))*(Stagnation Temperature)
Where is the Critical Temperature calculator used?
Among many, Critical Temperature calculator is widely used in real life applications like {FormulaUses}. Here are few more real life examples -
{FormulaExamplesList}
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