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Suction Temperature at Low pressure compressor when Cooling ratio is constant Formula

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GoSuction Temperature at Low Pressure Compressor given Cooling Ratio Formula

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

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

T₁ - Suction Temperature at Low Pressure Compressor?T₃ - Discharge Temperature at High Pressure Compressor?q - Cooling Ratio?P₂ - Discharge Pressure of Low Pressure Compressor?P₁ - Suction Pressure of Low Pressure Compressor?n_c - Polytropic Index For Compression?

Suction Temperature at Low pressure compressor when Cooling ratio is constant Example

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Here is how the Suction Temperature at Low pressure compressor when Cooling ratio is constant equation looks like with Values.

Here is how the Suction Temperature at Low pressure compressor when Cooling ratio is constant equation looks like with Units.

Here is how the Suction Temperature at Low pressure compressor when Cooling ratio is constant equation looks like.

242.7168 = \frac{310}{0.9 + (1 - 0.9) \cdot {(\frac{7}{0.0024})}^{\frac{1.2 - 1}{1.2}}}

242.7168K = \frac{310K}{0.9 + (1 - 0.9) \cdot {(\frac{7Bar}{0.0024Bar})}^{\frac{1.2 - 1}{1.2}}}

242.7168 = \frac{310}{0.9 + (1 - 0.9) \cdot {(\frac{7}{0.0024})}^{\frac{1.2 - 1}{1.2}}}

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Home » Physics » Mechanical » Refrigeration and Air Conditioning » Suction Temperature at Low pressure compressor when Cooling ratio is constant

Suction Temperature at Low pressure compressor when Cooling ratio is constant Solution

Follow our step by step solution on how to calculate Suction Temperature at Low pressure compressor when Cooling ratio is constant?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

T 1 = \frac{310K}{0.9 + (1 - 0.9) \cdot {(\frac{7Bar}{0.0024Bar})}^{\frac{1.2 - 1}{1.2}}}

Next Step Convert Units

∴

T 1 = \frac{310K}{0.9 + (1 - 0.9) \cdot {(\frac{700000Pa}{243Pa})}^{\frac{1.2 - 1}{1.2}}}

Next Step Prepare to Evaluate

∴

T 1 = \frac{310}{0.9 + (1 - 0.9) \cdot {(\frac{700000}{243})}^{\frac{1.2 - 1}{1.2}}}

Next Step Evaluate

∴

T 1 = 242.716750312819K

LAST Step Rounding Answer

∴

T 1 = 242.7168K

Suction Temperature at Low pressure compressor when Cooling ratio is constant Formula Elements

Variables

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.

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.

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.

Discharge Pressure of Low Pressure Compressor

The Discharge pressure of Low pressure compressor is the pressure of the refrigerant at the point where it exits the Low-Pressure compressor. It is also called Pressure at the entry of intercooler.

Symbol: P₂

Measurement: PressureUnit: Bar

Note: Value can be positive or negative.

Suction Pressure of Low Pressure Compressor

Suction Pressure of Low Pressure Compressor is the pressure of the refrigerant at the point where it enters the Low pressure compressor. It is also called Evaporator pressure.

Symbol: P₁

Measurement: PressureUnit: Bar

Note: Value can be positive or negative.

Polytropic Index For Compression

Polytropic Index For Compression is that defined via a polytropic equation of state of the form P∝ρ1+1/n, where P is pressure, ρ is density, and n is the polytropic index.

Symbol: n_c

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Credits

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Created by Abhishek Dharmendra Bansile

Vishwakarma Institute of Information Technology, Pune (VIIT Pune), Pune

Abhishek Dharmendra Bansile has created this Formula and 100+ more formulas!

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Verified by

national institute of technology hamirpur (NITH ), Hamirpur, Himachal Pradesh

sanjay shiva has verified this Formula and 100+ more formulas!

Other Formulas to find Suction Temperature at Low Pressure Compressor

Go Suction Temperature at Low Pressure Compressor given Cooling Ratio

T 1 = \frac{(T 2 \cdot q) - T 2 + T 3}{q}

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)

See More

How to Evaluate Suction Temperature at Low pressure compressor when Cooling ratio is constant?

Suction Temperature at Low pressure compressor when Cooling ratio is constant evaluator uses Suction Temperature at Low Pressure Compressor = Discharge Temperature at High 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)) to evaluate the Suction Temperature at Low Pressure Compressor, Suction Temperature at Low pressure compressor when Cooling ratio is constant formula is defined as a measure of the temperature at the suction side of a low-pressure compressor when the cooling ratio remains constant, which is an essential parameter in determining the performance of a refrigeration system. Suction Temperature at Low Pressure Compressor is denoted by T₁ symbol.

How to evaluate Suction Temperature at Low pressure compressor when Cooling ratio is constant using this online evaluator? To use this online evaluator for Suction Temperature at Low pressure compressor when Cooling ratio is constant, enter Discharge Temperature at High Pressure Compressor (T₃), Cooling Ratio (q), Discharge Pressure of Low Pressure Compressor (P₂), Suction Pressure of Low Pressure Compressor (P₁) & Polytropic Index For Compression (n_c) and hit the calculate button.

FAQs on Suction Temperature at Low pressure compressor when Cooling ratio is constant

What is the formula to find Suction Temperature at Low pressure compressor when Cooling ratio is constant?

The formula of Suction Temperature at Low pressure compressor when Cooling ratio is constant is expressed as Suction Temperature at Low Pressure Compressor = Discharge Temperature at High 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)). Here is an example- 237.1039 = 310/(0.9+(1-0.9)*(700000/243)^((1.2-1)/1.2)).

How to calculate Suction Temperature at Low pressure compressor when Cooling ratio is constant?

With Discharge Temperature at High Pressure Compressor (T₃), Cooling Ratio (q), Discharge Pressure of Low Pressure Compressor (P₂), Suction Pressure of Low Pressure Compressor (P₁) & Polytropic Index For Compression (n_c) we can find Suction Temperature at Low pressure compressor when Cooling ratio is constant using the formula - Suction Temperature at Low Pressure Compressor = Discharge Temperature at High 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)).

What are the other ways to Calculate Suction Temperature at Low Pressure Compressor?

Here are the different ways to Calculate Suction Temperature at Low Pressure Compressor-

Suction Temperature at Low Pressure Compressor=((Suction Temperature at High Pressure Compressor*Cooling Ratio)-Suction Temperature at High Pressure Compressor+Discharge Temperature at High Pressure Compressor)/Cooling Ratio

Can the Suction Temperature at Low pressure compressor when Cooling ratio is constant be negative?

Yes, the Suction Temperature at Low pressure compressor when Cooling ratio is constant, measured in Temperature can be negative.

Which unit is used to measure Suction Temperature at Low pressure compressor when Cooling ratio is constant?

Suction Temperature at Low pressure compressor when Cooling ratio is constant is usually measured using the Kelvin[K] for Temperature. Celsius[K], Fahrenheit[K], Rankine[K] are the few other units in which Suction Temperature at Low pressure compressor when Cooling ratio is constant can be measured.

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