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Minimum Temperature Ratio Formula

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Temperature Ratio is the ratio of temperature at entry and exit of compressor. Check FAQs

T r = \frac{{P r}^{\frac{γ - 1}{γ}}}{η C \cdot η T}

T_r - Temperature Ratio?P_r - Pressure Ratio?γ - Heat Capacity Ratio?η_C - Isentropic Efficiency of Compressor?η_T - Efficiency of Turbine?

Minimum Temperature Ratio Example

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Here is how the Minimum Temperature Ratio equation looks like with Values.

Here is how the Minimum Temperature Ratio equation looks like with Units.

Here is how the Minimum Temperature Ratio equation looks like.

1.5339 = \frac{{2.4}^{\frac{1.4 - 1}{1.4}}}{0.92 \cdot 0.91}

1.5339 = \frac{{2.4}^{\frac{1.4 - 1}{1.4}}}{0.92 \cdot 0.91}

1.5339 = \frac{{2.4}^{\frac{1.4 - 1}{1.4}}}{0.92 \cdot 0.91}

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Minimum Temperature Ratio Solution

Follow our step by step solution on how to calculate Minimum Temperature Ratio?

FIRST Step Consider the formula

T r = \frac{{P r}^{\frac{γ - 1}{γ}}}{η C \cdot η T}

Next Step Substitute values of Variables

∴

T r = \frac{{2.4}^{\frac{1.4 - 1}{1.4}}}{0.92 \cdot 0.91}

Next Step Prepare to Evaluate

∴

T r = \frac{{2.4}^{\frac{1.4 - 1}{1.4}}}{0.92 \cdot 0.91}

Next Step Evaluate

∴

T r = 1.53391948310279

LAST Step Rounding Answer

∴

T r = 1.5339

Minimum Temperature Ratio Formula Elements

Variables

Temperature Ratio

Temperature Ratio is the ratio of temperature at entry and exit of compressor.

Symbol: T_r

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Temperature Ratio

Pressure Ratio

Pressure Ratio is the ratio of pressures at entry and exit of compressor.

Symbol: P_r

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Pressure Ratio

Heat Capacity Ratio

The Heat Capacity Ratio also known as the adiabatic index is the ratio of specific heats i.e. the ratio of the heat capacity at constant pressure to heat capacity at constant volume.

Symbol: γ

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Heat Capacity Ratio

Isentropic Efficiency of Compressor

Isentropic Efficiency of Compressor is the ratio of isentropic work of compressor to actual work of compressor.

Symbol: η_C

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Isentropic Efficiency of Compressor

Efficiency of Turbine

Efficiency of Turbine is the ratio of work obtained from turbine to the heat supplied to turbine.

Symbol: η_T

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Efficiency of Turbine

Other formulas in Compressor category

Go Degree of Reaction for Compressor

R = \frac{ΔE rotor increase}{ΔE stage increase}

Go Isentropic Efficiency of Compression Machine

η C = \frac{W s,in}{W in}

Go Mean Diameter of Impeller

D m = \sqrt{\frac{{D t}^{2} + {D h}^{2}}{2}}

Go Tip Velocity of Impeller given Mean Diameter

U t = π \cdot {(2 \cdot {D m}^{2} - {D h}^{2})}^{0.5} \cdot \frac{N}{60}

How to Evaluate Minimum Temperature Ratio?

Minimum Temperature Ratio evaluator uses Temperature Ratio = (Pressure Ratio^((Heat Capacity Ratio-1)/Heat Capacity Ratio))/(Isentropic Efficiency of Compressor*Efficiency of Turbine) to evaluate the Temperature Ratio, The Minimum Temperature Ratio is a parameter used in the analysis of compression systems, indicating the minimum temperature ratio achieved during compression. This formula computes the temperature ratio by accounting for the pressure ratio, adiabatic index, isentropic efficiency of compression, and turbine efficiency. Temperature Ratio is denoted by T_r symbol.

How to evaluate Minimum Temperature Ratio using this online evaluator? To use this online evaluator for Minimum Temperature Ratio, enter Pressure Ratio (P_r), Heat Capacity Ratio (γ), Isentropic Efficiency of Compressor (η_C) & Efficiency of Turbine (η_T) and hit the calculate button.

FAQs on Minimum Temperature Ratio

What is the formula to find Minimum Temperature Ratio?

The formula of Minimum Temperature Ratio is expressed as Temperature Ratio = (Pressure Ratio^((Heat Capacity Ratio-1)/Heat Capacity Ratio))/(Isentropic Efficiency of Compressor*Efficiency of Turbine). Here is an example- 2.908056 = (2.4^((1.4-1)/1.4))/(0.92*efficiency_of_turbine).

How to calculate Minimum Temperature Ratio?

With Pressure Ratio (P_r), Heat Capacity Ratio (γ), Isentropic Efficiency of Compressor (η_C) & Efficiency of Turbine (η_T) we can find Minimum Temperature Ratio using the formula - Temperature Ratio = (Pressure Ratio^((Heat Capacity Ratio-1)/Heat Capacity Ratio))/(Isentropic Efficiency of Compressor*Efficiency of Turbine).

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Minimum Temperature Ratio Formula

Minimum Temperature Ratio Example

Minimum Temperature Ratio Solution

Minimum Temperature Ratio Formula Elements

Other formulas in Compressor category

How to Evaluate Minimum Temperature Ratio?

FAQs on Minimum Temperature Ratio

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