Area of heat exchanger Solution

STEP 0: Pre-Calculation Summary
Formula Used
Area = Heat exchanged/(Overall Heat Transfer Coefficient*Logarithmic Mean Temperature Difference*Correction Factor)
A = Q/(U*ΔTm*f)
This formula uses 5 Variables
Variables Used
Area - (Measured in Square Meter) - The area is the amount of two-dimensional space taken up by an object.
Heat exchanged - (Measured in Watt) - Heat exchanged is the amount of heat transferred between two objects.
Overall Heat Transfer Coefficient - (Measured in Watt per Square Meter per Kelvin) - Overall heat transfer coefficient is the overall convective heat transfer between a fluid medium (a fluid) and the surface (wall) flowed over by the fluid.
Logarithmic Mean Temperature Difference - Logarithmic Mean Temperature Difference is the log of the mean of the temperature values.
Correction Factor - Correction Factor is that which is multiplied with the result of an equation to correct for a known amount of systematic error.
STEP 1: Convert Input(s) to Base Unit
Heat exchanged: 50 Watt --> 50 Watt No Conversion Required
Overall Heat Transfer Coefficient: 50 Watt per Square Meter per Kelvin --> 50 Watt per Square Meter per Kelvin No Conversion Required
Logarithmic Mean Temperature Difference: 30 --> No Conversion Required
Correction Factor: 0.5 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
A = Q/(U*ΔTm*f) --> 50/(50*30*0.5)
Evaluating ... ...
A = 0.0666666666666667
STEP 3: Convert Result to Output's Unit
0.0666666666666667 Square Meter --> No Conversion Required
FINAL ANSWER
0.0666666666666667 0.066667 Square Meter <-- Area
(Calculation completed in 00.004 seconds)

Credits

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Created by Nishan Poojary
Shri Madhwa Vadiraja Institute of Technology and Management (SMVITM), Udupi
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National Institute Of Technology (NIT), Hamirpur
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Physical Parameters of Heat Exchanger Calculators

Mass flow rate of cold fluid
​ LaTeX ​ 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)))
Mass flow rate of hot fluid
​ LaTeX ​ 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)))
Correction factor in heat exchanger
​ LaTeX ​ Go Correction Factor = Heat exchanged/(Overall Heat Transfer Coefficient*Area*Logarithmic Mean Temperature Difference)
Area of heat exchanger
​ LaTeX ​ Go Area = Heat exchanged/(Overall Heat Transfer Coefficient*Logarithmic Mean Temperature Difference*Correction Factor)

Area of heat exchanger Formula

​LaTeX ​Go
Area = Heat exchanged/(Overall Heat Transfer Coefficient*Logarithmic Mean Temperature Difference*Correction Factor)
A = Q/(U*ΔTm*f)

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 Area of heat exchanger?

Area of heat exchanger calculator uses Area = Heat exchanged/(Overall Heat Transfer Coefficient*Logarithmic Mean Temperature Difference*Correction Factor) to calculate the Area, The Area of heat exchanger formula is defined as the total area through which the heat exchange takes place. Area is denoted by A symbol.

How to calculate Area of heat exchanger using this online calculator? To use this online calculator for Area of heat exchanger, enter Heat exchanged (Q), Overall Heat Transfer Coefficient (U), Logarithmic Mean Temperature Difference (ΔTm) & Correction Factor (f) and hit the calculate button. Here is how the Area of heat exchanger calculation can be explained with given input values -> 0.066667 = 50/(50*30*0.5).

FAQ

What is Area of heat exchanger?
The Area of heat exchanger formula is defined as the total area through which the heat exchange takes place and is represented as A = Q/(U*ΔTm*f) or Area = Heat exchanged/(Overall Heat Transfer Coefficient*Logarithmic Mean Temperature Difference*Correction Factor). Heat exchanged is the amount of heat transferred between two objects, Overall heat transfer coefficient is the overall convective heat transfer between a fluid medium (a fluid) and the surface (wall) flowed over by the fluid, Logarithmic Mean Temperature Difference is the log of the mean of the temperature values & Correction Factor is that which is multiplied with the result of an equation to correct for a known amount of systematic error.
How to calculate Area of heat exchanger?
The Area of heat exchanger formula is defined as the total area through which the heat exchange takes place is calculated using Area = Heat exchanged/(Overall Heat Transfer Coefficient*Logarithmic Mean Temperature Difference*Correction Factor). To calculate Area of heat exchanger, you need Heat exchanged (Q), Overall Heat Transfer Coefficient (U), Logarithmic Mean Temperature Difference (ΔTm) & Correction Factor (f). With our tool, you need to enter the respective value for Heat exchanged, Overall Heat Transfer Coefficient, Logarithmic Mean Temperature Difference & Correction Factor 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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