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Discharge Temperature at High Pressure Compressor given Cooling Ratio Formula

GoDischarge Temperature at High pressure compressor when Cooling ratio is constant Formula

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Discharge Temperature at High Pressure Compressor is the temperature at which refrigerant leaves the compressor. Check FAQs

T 3 = T 2 - q \cdot (T 2 - T 1)

T₃ - Discharge Temperature at High Pressure Compressor?T₂ - Suction Temperature at High Pressure Compressor?q - Cooling Ratio?T₁ - Suction Temperature at Low Pressure Compressor?

Discharge Temperature at High Pressure Compressor given Cooling Ratio Example

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Here is how the Discharge Temperature at High Pressure Compressor given Cooling Ratio equation looks like with Values.

Here is how the Discharge Temperature at High Pressure Compressor given Cooling Ratio equation looks like with Units.

Here is how the Discharge Temperature at High Pressure Compressor given Cooling Ratio equation looks like.

310 = 400 - 0.9 \cdot (400 - 300)

310K = 400K - 0.9 \cdot (400K - 300K)

310 = 400 - 0.9 \cdot (400 - 300)

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Discharge Temperature at High Pressure Compressor given Cooling Ratio Solution

Follow our step by step solution on how to calculate Discharge Temperature at High Pressure Compressor given Cooling Ratio?

FIRST Step Consider the formula

T 3 = T 2 - q \cdot (T 2 - T 1)

Next Step Substitute values of Variables

∴

T 3 = 400K - 0.9 \cdot (400K - 300K)

Next Step Prepare to Evaluate

∴

T 3 = 400 - 0.9 \cdot (400 - 300)

LAST Step Evaluate

∴

T 3 = 310K

Discharge Temperature at High Pressure Compressor given Cooling Ratio Formula Elements

Variables

Discharge Temperature at High Pressure Compressor

Discharge Temperature at High Pressure Compressor is the temperature at which refrigerant leaves the compressor.

Symbol: T₃

Measurement: TemperatureUnit: K

Note: Value can be positive or negative.

Formulas to find Discharge Temperature at High Pressure Compressor

Suction Temperature at High Pressure Compressor

The Suction Temperature at High Pressure Compressor is the temperature of the refrigerant at the inlet or temperature of the refrigerant leaving the intercooler.

Symbol: T₂

Measurement: TemperatureUnit: K

Note: Value can be positive or negative.

Formulas to find Suction Temperature at High Pressure Compressor

Cooling Ratio

Cooling Ratio is defined as the ratio of heat abstracted by the cooling system to the heat abstracted to bring the refrigerant to the initial temperature.

Symbol: q

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Cooling Ratio

Suction Temperature at Low Pressure Compressor

Suction Temperature at Low Pressure Compressor is the temperature of the refrigerant at the inlet or during the suction stroke.

Symbol: T₁

Measurement: TemperatureUnit: K

Note: Value can be positive or negative.

Formulas to find Suction Temperature at Low Pressure Compressor

Other Formulas to find Discharge Temperature at High Pressure Compressor

Go Discharge Temperature at High pressure compressor when Cooling ratio is constant

T 3 = P 1 \cdot (q + (1 - q) \cdot {(\frac{P 2}{P 1})}^{\frac{n c - 1}{n c}})

Other formulas in Minimum Work category

Go Minimum Work required when Temperature at end of Cooling in Intercooler is fixed

W = 2 \cdot (\frac{n c}{n c - 1}) \cdot m \cdot [R] \cdot T 1 \cdot ({(\frac{P 3}{P 1})}^{\frac{n c - 1}{2 \cdot n c}} - 1)

Go Minimum Work required when Cooling Ratio is fixed

W = (\frac{n c}{n c - 1}) \cdot m \cdot [R] \cdot ((T 1 \cdot {(\frac{P 3}{P 1})}^{\frac{n c - 1}{2 \cdot n c}} + T d \cdot {(\frac{P 3}{P 1})}^{\frac{n c - 1}{2 \cdot n c}} - T 1 - T 3))

Go Cooling ratio

q = \frac{T 2 - T 3}{T 2 - T 1}

Go Minimum Work required when Cooling Ratio is fixed and Intercooling is Perfect

W = 2 \cdot (\frac{n c}{n c - 1}) \cdot m \cdot [R] \cdot T r \cdot ({(\frac{P 3}{P 1})}^{\frac{n c - 1}{2 \cdot n c}} - 1)

How to Evaluate Discharge Temperature at High Pressure Compressor given Cooling Ratio?

Discharge Temperature at High Pressure Compressor given Cooling Ratio evaluator uses Discharge Temperature at High Pressure Compressor = Suction Temperature at High Pressure Compressor-Cooling Ratio*(Suction Temperature at High Pressure Compressor-Suction Temperature at Low Pressure Compressor) to evaluate the Discharge Temperature at High Pressure Compressor, Discharge Temperature at High Pressure Compressor given Cooling Ratio formula is defined as a measure of the temperature at the outlet of a high-pressure compressor, which is influenced by the cooling ratio and is critical in determining the minimum work required in a thermodynamic process. Discharge Temperature at High Pressure Compressor is denoted by T₃ symbol.

How to evaluate Discharge Temperature at High Pressure Compressor given Cooling Ratio using this online evaluator? To use this online evaluator for Discharge Temperature at High Pressure Compressor given Cooling Ratio, enter Suction Temperature at High Pressure Compressor (T₂), Cooling Ratio (q) & Suction Temperature at Low Pressure Compressor (T₁) and hit the calculate button.

FAQs on Discharge Temperature at High Pressure Compressor given Cooling Ratio

What is the formula to find Discharge Temperature at High Pressure Compressor given Cooling Ratio?

The formula of Discharge Temperature at High Pressure Compressor given Cooling Ratio is expressed as Discharge Temperature at High Pressure Compressor = Suction Temperature at High Pressure Compressor-Cooling Ratio*(Suction Temperature at High Pressure Compressor-Suction Temperature at Low Pressure Compressor). Here is an example- 310 = 400-0.9*(400-300).

How to calculate Discharge Temperature at High Pressure Compressor given Cooling Ratio?

With Suction Temperature at High Pressure Compressor (T₂), Cooling Ratio (q) & Suction Temperature at Low Pressure Compressor (T₁) we can find Discharge Temperature at High Pressure Compressor given Cooling Ratio using the formula - Discharge Temperature at High Pressure Compressor = Suction Temperature at High Pressure Compressor-Cooling Ratio*(Suction Temperature at High Pressure Compressor-Suction Temperature at Low Pressure Compressor).

What are the other ways to Calculate Discharge Temperature at High Pressure Compressor?

Here are the different ways to Calculate Discharge Temperature at High Pressure Compressor-

Discharge Temperature at High Pressure Compressor=Suction Pressure of Low Pressure Compressor*(Cooling Ratio+(1-Cooling Ratio)*(Discharge Pressure of Low Pressure Compressor/Suction Pressure of Low Pressure Compressor)^((Polytropic Index For Compression-1)/Polytropic Index For Compression))

Can the Discharge Temperature at High Pressure Compressor given Cooling Ratio be negative?

Yes, the Discharge Temperature at High Pressure Compressor given Cooling Ratio, measured in Temperature can be negative.

Which unit is used to measure Discharge Temperature at High Pressure Compressor given Cooling Ratio?

Discharge Temperature at High Pressure Compressor given Cooling Ratio is usually measured using the Kelvin[K] for Temperature. Celsius[K], Fahrenheit[K], Rankine[K] are the few other units in which Discharge Temperature at High Pressure Compressor given Cooling Ratio can be measured.

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Discharge Temperature at High Pressure Compressor given Cooling Ratio Formula

​GoDischarge Temperature at High pressure compressor when Cooling ratio is constant Formula

Discharge Temperature at High Pressure Compressor given Cooling Ratio Example

Discharge Temperature at High Pressure Compressor given Cooling Ratio Solution

Discharge Temperature at High Pressure Compressor given Cooling Ratio Formula Elements

Other Formulas to find Discharge Temperature at High Pressure Compressor

Other formulas in Minimum Work category

How to Evaluate Discharge Temperature at High Pressure Compressor given Cooling Ratio?

FAQs on Discharge Temperature at High Pressure Compressor given Cooling Ratio

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GoDischarge Temperature at High pressure compressor when Cooling ratio is constant Formula