Heat exchanged Solution

STEP 0: Pre-Calculation Summary
Formula Used
Heat exchanged = Correction Factor*Overall Heat Transfer Coefficient*Area*Logarithmic Mean Temperature Difference
Q = f*U*A*ΔTm
This formula uses 5 Variables
Variables Used
Heat exchanged - (Measured in Watt) - Heat exchanged is the amount of heat transferred between two objects.
Correction Factor - Correction Factor is that which is multiplied with the result of an equation to correct for a known amount of systematic error.
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.
Area - (Measured in Square Meter) - The area is the amount of two-dimensional space taken up by an object.
Logarithmic Mean Temperature Difference - Logarithmic Mean Temperature Difference is the log of the mean of the temperature values.
STEP 1: Convert Input(s) to Base Unit
Correction Factor: 0.5 --> No Conversion Required
Overall Heat Transfer Coefficient: 50 Watt per Square Meter per Kelvin --> 50 Watt per Square Meter per Kelvin No Conversion Required
Area: 50 Square Meter --> 50 Square Meter No Conversion Required
Logarithmic Mean Temperature Difference: 30 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Q = f*U*A*ΔTm --> 0.5*50*50*30
Evaluating ... ...
Q = 37500
STEP 3: Convert Result to Output's Unit
37500 Watt --> No Conversion Required
FINAL ANSWER
37500 Watt <-- Heat exchanged
(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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Thermal Parameters of 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))
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)
Heat exchanged
​ Go Heat exchanged = Correction Factor*Overall Heat Transfer Coefficient*Area*Logarithmic Mean Temperature Difference

Heat exchanged Formula

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

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 Heat exchanged?

Heat exchanged calculator uses Heat exchanged = Correction Factor*Overall Heat Transfer Coefficient*Area*Logarithmic Mean Temperature Difference to calculate the Heat exchanged, Heat exchanged formula is defined as a representation of the thermal energy transfer between fluids in a heat exchanger. It quantifies the amount of heat transferred based on the temperature difference, surface area, and overall heat transfer coefficient. Heat exchanged is denoted by Q symbol.

How to calculate Heat exchanged using this online calculator? To use this online calculator for Heat exchanged, enter Correction Factor (f), Overall Heat Transfer Coefficient (U), Area (A) & Logarithmic Mean Temperature Difference (ΔTm) and hit the calculate button. Here is how the Heat exchanged calculation can be explained with given input values -> 37500 = 0.5*50*50*30.

FAQ

What is Heat exchanged?
Heat exchanged formula is defined as a representation of the thermal energy transfer between fluids in a heat exchanger. It quantifies the amount of heat transferred based on the temperature difference, surface area, and overall heat transfer coefficient and is represented as Q = f*U*A*ΔTm or Heat exchanged = Correction Factor*Overall Heat Transfer Coefficient*Area*Logarithmic Mean Temperature Difference. Correction Factor is that which is multiplied with the result of an equation to correct for a known amount of systematic error, 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, The area is the amount of two-dimensional space taken up by an object & Logarithmic Mean Temperature Difference is the log of the mean of the temperature values.
How to calculate Heat exchanged?
Heat exchanged formula is defined as a representation of the thermal energy transfer between fluids in a heat exchanger. It quantifies the amount of heat transferred based on the temperature difference, surface area, and overall heat transfer coefficient is calculated using Heat exchanged = Correction Factor*Overall Heat Transfer Coefficient*Area*Logarithmic Mean Temperature Difference. To calculate Heat exchanged, you need Correction Factor (f), Overall Heat Transfer Coefficient (U), Area (A) & Logarithmic Mean Temperature Difference (ΔTm). With our tool, you need to enter the respective value for Correction Factor, Overall Heat Transfer Coefficient, Area & Logarithmic Mean Temperature Difference 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 Heat exchanged?
In this formula, Heat exchanged uses Correction Factor, Overall Heat Transfer Coefficient, Area & Logarithmic Mean Temperature Difference. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Heat exchanged = Effectiveness of Heat Exchanger*Smaller Value*(Entry Temperature of Hot Fluid-Entry Temperature of Cold Fluid)
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