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

✖Discharge Temperature at high pressure compressor is the temperature at which refrigerant leaves the compressor.ⓘ Discharge Temperature at high pressure compressor [T₃]			+10% -10%
✖The 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.ⓘ Cooling ratio [q]			+10% -10%
✖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.ⓘ Discharge Pressure of Low Pressure Compressor [P₂]			+10% -10%
✖The 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.ⓘ Suction Pressure of Low Pressure Compressor [P₁]			+10% -10%
✖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.ⓘ Polytropic Index for Compression [n_c]			+10% -10%

✖The Suction temperature at Low Pressure Compressor is the temperature of the refrigerant at the inlet or during the suction stroke.ⓘ Suction Temperature at Low pressure compressor when Cooling ratio is constant [T₁]

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Formula

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Suction Temperature at Low pressure compressor when Cooling ratio is constant

Formula

`"T"_{"1"} = "T"_{"3"}/("q"+(1-"q")*("P"_{"2"}/"P"_{"1"})^(("n"_{"c"}-1)/"n"_{"c"}))`

Example

`"-74.1694K"="1000K"/("6"+(1-"6")*("7Bar"/"0.002Bar")^(("1.2"-1)/"1.2"))`

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

STEP 0: Pre-Calculation Summary

Formula Used

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))
T₁ = T₃/(q+(1-q)*(P₂/P₁)^((n_c-1)/n_c))
This formula uses 6 Variables

Variables Used

Suction temperature at Low pressure Compressor - (Measured in Kelvin) - The Suction temperature at Low Pressure Compressor is the temperature of the refrigerant at the inlet or during the suction stroke.
Discharge Temperature at high pressure compressor - (Measured in Kelvin) - Discharge Temperature at high pressure compressor is the temperature at which refrigerant leaves the compressor.
Cooling ratio - The 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.
Discharge Pressure of Low Pressure Compressor - (Measured in Pascal) - 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.
Suction Pressure of Low Pressure Compressor - (Measured in Pascal) - The 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.
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.

STEP 1: Convert Input(s) to Base Unit

Discharge Temperature at high pressure compressor: 1000 Kelvin --> 1000 Kelvin No Conversion Required
Cooling ratio: 6 --> No Conversion Required
Discharge Pressure of Low Pressure Compressor: 7 Bar --> 700000 Pascal (Check conversion here)
Suction Pressure of Low Pressure Compressor: 0.002 Bar --> 200 Pascal (Check conversion here)
Polytropic Index for Compression: 1.2 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

T₁ = T₃/(q+(1-q)*(P₂/P₁)^((n_c-1)/n_c)) --> 1000/(6+(1-6)*(700000/200)^((1.2-1)/1.2))

Evaluating ... ...

T₁ = -74.1693996525067

STEP 3: Convert Result to Output's Unit

-74.1693996525067 Kelvin --> No Conversion Required

FINAL ANSWER

-74.1693996525067 ≈ -74.1694 Kelvin <-- Suction temperature at Low pressure Compressor

(Calculation completed in 00.004 seconds)

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Home » Physics » Refrigeration and Air Conditioning » Refrigerant Compressors » Minimum Work » Suction Temperature at Low pressure compressor when Cooling ratio is constant

Credits

Created by Abhishek Dharmendra Bansile

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

Abhishek Dharmendra Bansile has created this Calculator and 100+ more calculators!

Verified by sanjay shiva

national institute of technology hamirpur (NITH ), hamirpur , himachal pradesh

sanjay shiva has verified this Calculator and 100+ more calculators!

< 8 Minimum Work Calculators

Minimum Work required when Cooling Ratio is fixed

Go Work Required = (Polytropic Index for Compression/(Polytropic Index for Compression-1))*Mass of refrigerant in kg per minute*[R]*((Suction temperature at Low pressure Compressor*(Discharge Pressure of High Pressure Compressor/Suction Pressure of Low Pressure Compressor)^((Polytropic Index for Compression-1)/(2*Polytropic Index for Compression))+Discharge Temperature of Refrigerant*(Discharge Pressure of High Pressure Compressor/Suction Pressure of Low Pressure Compressor)^((Polytropic Index for Compression-1)/(2*Polytropic Index for Compression))-Suction temperature at Low pressure Compressor-Discharge Temperature at high pressure compressor))

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

Go Work Required = 2*(Polytropic Index for Compression/(Polytropic Index for Compression-1))*Mass of refrigerant in kg per minute*[R]*Suction temperature at Low pressure Compressor*((Discharge Pressure of High Pressure Compressor/Suction Pressure of Low Pressure Compressor)^((Polytropic Index for Compression-1)/(2*Polytropic Index for Compression))-1)

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

Go Work Required = 2*(Polytropic Index for Compression/(Polytropic Index for Compression-1))*Mass of refrigerant in kg per minute*[R]*Suction Temperature of Refrigerant*((Discharge Pressure of High Pressure Compressor/Suction Pressure of Low Pressure Compressor)^((Polytropic Index for Compression-1)/(2*Polytropic Index for Compression))-1)

Suction Temperature at Low pressure compressor when Cooling ratio is constant

Go 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))

Discharge Temperature at High pressure compressor when Cooling ratio is constant

Go 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))

Suction Temperature at Low Pressure Compressor given Cooling Ratio

Go 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

Cooling ratio

Go Cooling ratio = (Suction Temperature at High Pressure Compressor-Discharge Temperature at high pressure compressor)/(Suction Temperature at High Pressure Compressor-Suction temperature at Low pressure Compressor)

Discharge Temperature at High Pressure Compressor given Cooling Ratio

Go 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)

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

What is Cooling ratio?

The 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.

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

Suction Temperature at Low pressure compressor when Cooling ratio is constant calculator 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 calculate the Suction temperature at Low pressure Compressor, The Suction Temperature at Low pressure compressor when Cooling ratio is constant formula is defined as the suction temperature of the refrigerant of the Low-pressure compressor when the cooling ratio is constant. Suction temperature at Low pressure Compressor is denoted by T₁ symbol.

How to calculate Suction Temperature at Low pressure compressor when Cooling ratio is constant using this online calculator? To use this online calculator 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. Here is how the Suction Temperature at Low pressure compressor when Cooling ratio is constant calculation can be explained with given input values -> -74.1694 = 1000/(6+(1-6)*(700000/200)^((1.2-1)/1.2)).

FAQ

What is Suction Temperature at Low pressure compressor when Cooling ratio is constant?

The Suction Temperature at Low pressure compressor when Cooling ratio is constant formula is defined as the suction temperature of the refrigerant of the Low-pressure compressor when the cooling ratio is constant and is represented as T₁ = T₃/(q+(1-q)*(P₂/P₁)^((n_c-1)/n_c)) or 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)). Discharge Temperature at high pressure compressor is the temperature at which refrigerant leaves the compressor, The 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, 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, The 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 & 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.

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

The Suction Temperature at Low pressure compressor when Cooling ratio is constant formula is defined as the suction temperature of the refrigerant of the Low-pressure compressor when the cooling ratio is constant is calculated using 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 calculate Suction Temperature at Low pressure compressor when Cooling ratio is constant, you need 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). With our tool, you need to enter the respective value for Discharge Temperature at high pressure compressor, Cooling ratio, Discharge Pressure of Low Pressure Compressor, Suction Pressure of Low Pressure Compressor & Polytropic Index for Compression 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 Suction temperature at Low pressure Compressor?

In this formula, Suction temperature at Low pressure Compressor uses Discharge Temperature at high pressure compressor, Cooling ratio, Discharge Pressure of Low Pressure Compressor, Suction Pressure of Low Pressure Compressor & Polytropic Index for Compression. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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