Entry temperature of cold fluid Solution

STEP 0: Pre-Calculation Summary
Formula Used
Entry Temperature of Cold Fluid = Entry Temperature of Hot Fluid-(Heat exchanged/(Effectiveness of Heat Exchanger*Smaller Value))
t1 = T1-(Q/(ϵ*Cmin))
This formula uses 5 Variables
Variables Used
Entry Temperature of Cold Fluid - (Measured in Kelvin) - Entry temperature of cold fluid is the temperature of the cold fluid at entry.
Entry Temperature of Hot Fluid - (Measured in Kelvin) - Entry temperature of hot fluid is the temperature of the hot fluid at entry.
Heat exchanged - (Measured in Watt) - Heat exchanged is the amount of heat transferred between two objects.
Effectiveness of Heat Exchanger - The effectiveness of heat exchanger is defined as the ratio of the actual heat transfer to the maximum possible heat transfer.
Smaller Value - Smaller value of mass flowrate of hot fluid * specific heat of hot fluid and mass flowrate of cold fluid * specific heat of cold fluid.
STEP 1: Convert Input(s) to Base Unit
Entry Temperature of Hot Fluid: 60 Kelvin --> 60 Kelvin No Conversion Required
Heat exchanged: 50 Watt --> 50 Watt No Conversion Required
Effectiveness of Heat Exchanger: 8 --> No Conversion Required
Smaller Value: 30 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
t1 = T1-(Q/(ϵ*Cmin)) --> 60-(50/(8*30))
Evaluating ... ...
t1 = 59.7916666666667
STEP 3: Convert Result to Output's Unit
59.7916666666667 Kelvin --> No Conversion Required
FINAL ANSWER
59.7916666666667 59.79167 Kelvin <-- Entry Temperature of Cold Fluid
(Calculation completed in 00.004 seconds)

Credits

Created by Nishan Poojary
Shri Madhwa Vadiraja Institute of Technology and Management (SMVITM), Udupi
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25 Heat exchanger Calculators

Logarithmic mean temperature difference for single pass counter flow
Go Logarithmic Mean Temperature Difference = ((Entry Temperature of Hot Fluid-Exit Temperature of Cold Fluid)-(Entry Temperature of Cold Fluid-Exit Temperature of Hot Fluid))/ln((Entry Temperature of Hot Fluid-Exit Temperature of Cold Fluid)/(Entry Temperature of Cold Fluid-Exit Temperature of Hot Fluid))
Mass flow rate of cold fluid
Go Mass Flow Rate of Cold Fluid = (Effectiveness of Heat Exchanger*Smaller Value/Specific heat of cold fluid)*(1/((Exit Temperature of Cold Fluid-Entry Temperature of Cold Fluid)/(Entry Temperature of Hot Fluid-Entry Temperature of Cold Fluid)))
Specific heat of cold fluid
Go Specific heat of cold fluid = (Effectiveness of Heat Exchanger*Smaller Value/Mass Flow Rate of Cold Fluid)*(1/((Exit Temperature of Cold Fluid-Entry Temperature of Cold Fluid)/(Entry Temperature of Hot Fluid-Entry Temperature of Cold Fluid)))
Mass flow rate of hot fluid
Go Mass Flow Rate of Hot Fluid = (Effectiveness of Heat Exchanger*Smaller Value/Specific heat of hot fluid)*(1/((Entry Temperature of Hot Fluid-Exit Temperature of Cold Fluid)/(Entry Temperature of Hot Fluid-Entry Temperature of Cold Fluid)))
Specific heat of hot water
Go Specific heat of hot fluid = (Effectiveness of Heat Exchanger*Smaller Value/Mass Flow Rate of Hot Fluid)*(1/((Entry Temperature of Hot Fluid-Exit Temperature of Cold Fluid)/(Entry Temperature of Hot Fluid-Entry Temperature of Cold Fluid)))
Heat transfer surface area for unit length of matrix in storage type heat exchanger
Go Surface Area = (Location factor*Specific heat of fluid*Mass Flowrate)/(Convective Heat Transfer Coefficient*Distance from Point to YY Axis)
Convective heat transfer coefficient of storage type heat exchanger
Go Convective Heat Transfer Coefficient = (Location factor*Specific heat of fluid*Mass Flowrate)/(Surface Area*Distance from Point to YY Axis)
Specific heat of fluid in storage type heat exchanger
Go Specific heat of fluid = (Convective Heat Transfer Coefficient*Surface Area*Distance from Point to YY Axis)/(Location factor*Mass Flowrate)
Mass Flowrate of Fluid in Storage type Heat Exchanger
Go Mass Flowrate = (Convective Heat Transfer Coefficient*Surface Area*Distance from Point to YY Axis)/(Specific heat of fluid*Location factor)
Location factor at distance X of heat exchanger
Go Location factor = (Convective Heat Transfer Coefficient*Surface Area*Distance from Point to YY Axis)/(Specific heat of fluid*Mass Flowrate)
Convective heat transfer coefficient of storage type heat exchanger given time factor
Go Convective Heat Transfer Coefficient = (Time Factor*Specific heat of matrix material*Mass of Solid)/(Surface Area*Total Time Taken)
Heat transfer surface area for unit length given time factor
Go Surface Area = (Time Factor*Specific heat of matrix material*Mass of Solid)/(Convective Heat Transfer Coefficient*Total Time Taken)
Time factor of storage type heat exchanger
Go Time Factor = (Convective Heat Transfer Coefficient*Surface Area*Total Time Taken)/(Specific heat of matrix material*Mass of Solid)
Time taken for storage type heat exchanger
Go Total Time Taken = (Time Factor*Specific heat of matrix material*Mass of Solid)/(Surface Area*Convective Heat Transfer Coefficient)
Mass of solid per unit length of matrix
Go Mass of Solid = (Convective Heat Transfer Coefficient*Surface Area*Total Time Taken)/(Time Factor*Specific heat of matrix material)
Specific heat of matrix material
Go Specific heat of matrix material = (Convective Heat Transfer Coefficient*Surface Area*Total Time Taken)/(Time Factor*Mass of Solid)
Entry temperature of cold fluid
Go Entry Temperature of Cold Fluid = Entry Temperature of Hot Fluid-(Heat exchanged/(Effectiveness of Heat Exchanger*Smaller Value))
Entry temperature of hot fluid
Go Entry Temperature of Hot Fluid = (Heat exchanged/(Effectiveness of Heat Exchanger*Smaller Value))+Entry Temperature of Cold Fluid
Heat exchanged NTU method
Go Heat exchanged = Effectiveness of Heat Exchanger*Smaller Value*(Entry Temperature of Hot Fluid-Entry Temperature of Cold Fluid)
Overall heat transfer coefficient given LMTD
Go Overall Heat Transfer Coefficient = Heat exchanged/(Correction Factor*Area*Logarithmic Mean Temperature Difference)
Logarithmic mean temperature difference
Go Logarithmic Mean Temperature Difference = Heat exchanged/(Correction Factor*Overall Heat Transfer Coefficient*Area)
Correction factor in heat exchanger
Go Correction Factor = Heat exchanged/(Overall Heat Transfer Coefficient*Area*Logarithmic Mean Temperature Difference)
Area of heat exchanger
Go Area = Heat exchanged/(Overall Heat Transfer Coefficient*Logarithmic Mean Temperature Difference*Correction Factor)
Heat exchanged
Go Heat exchanged = Correction Factor*Overall Heat Transfer Coefficient*Area*Logarithmic Mean Temperature Difference
Capacity Ratio
Go Heat capacity ratio = Minimum heat capacity/Maximum heat capacity

Entry temperature of cold fluid Formula

Entry Temperature of Cold Fluid = Entry Temperature of Hot Fluid-(Heat exchanged/(Effectiveness of Heat Exchanger*Smaller Value))
t1 = T1-(Q/(ϵ*Cmin))

What is Heat exchanger

A heat exchanger is a system used to transfer heat between two or more fluids. Heat exchangers are used in both cooling and heating processes. The fluids may be separated by a solid wall to prevent mixing or they may be in direct contact. They are widely used in space heating, refrigeration, air conditioning, power stations, chemical plants, petrochemical plants, petroleum refineries, natural-gas processing, and sewage treatment. The classic example of a heat exchanger is found in an internal combustion engine in which a circulating fluid known as engine coolant flows through radiator coils and air flows past the coils, which cools the coolant and heats the incoming air. Another example is the heat sink, which is a passive heat exchanger that transfers the heat generated by an electronic or a mechanical device to a fluid medium, often air or a liquid coolant.

How to Calculate Entry temperature of cold fluid?

Entry temperature of cold fluid calculator uses Entry Temperature of Cold Fluid = Entry Temperature of Hot Fluid-(Heat exchanged/(Effectiveness of Heat Exchanger*Smaller Value)) to calculate the Entry Temperature of Cold Fluid, The Entry temperature of cold fluid formula is defined as the temperature of the cold fluid entering the heat exchanger. Entry Temperature of Cold Fluid is denoted by t1 symbol.

How to calculate Entry temperature of cold fluid using this online calculator? To use this online calculator for Entry temperature of cold fluid, enter Entry Temperature of Hot Fluid (T1), Heat exchanged (Q), Effectiveness of Heat Exchanger (ϵ) & Smaller Value (Cmin) and hit the calculate button. Here is how the Entry temperature of cold fluid calculation can be explained with given input values -> 59.79167 = 60-(50/(8*30)).

FAQ

What is Entry temperature of cold fluid?
The Entry temperature of cold fluid formula is defined as the temperature of the cold fluid entering the heat exchanger and is represented as t1 = T1-(Q/(ϵ*Cmin)) or Entry Temperature of Cold Fluid = Entry Temperature of Hot Fluid-(Heat exchanged/(Effectiveness of Heat Exchanger*Smaller Value)). Entry temperature of hot fluid is the temperature of the hot fluid at entry, Heat exchanged is the amount of heat transferred between two objects, The effectiveness of heat exchanger is defined as the ratio of the actual heat transfer to the maximum possible heat transfer & Smaller value of mass flowrate of hot fluid * specific heat of hot fluid and mass flowrate of cold fluid * specific heat of cold fluid.
How to calculate Entry temperature of cold fluid?
The Entry temperature of cold fluid formula is defined as the temperature of the cold fluid entering the heat exchanger is calculated using Entry Temperature of Cold Fluid = Entry Temperature of Hot Fluid-(Heat exchanged/(Effectiveness of Heat Exchanger*Smaller Value)). To calculate Entry temperature of cold fluid, you need Entry Temperature of Hot Fluid (T1), Heat exchanged (Q), Effectiveness of Heat Exchanger (ϵ) & Smaller Value (Cmin). With our tool, you need to enter the respective value for Entry Temperature of Hot Fluid, Heat exchanged, Effectiveness of Heat Exchanger & Smaller Value and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
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