Heat exchanged NTU method Solution

STEP 0: Pre-Calculation Summary
Formula Used
Heat exchanged = Effectiveness of Heat Exchanger*Smaller Value*(Entry Temperature of Hot Fluid-Entry Temperature of Cold Fluid)
Q = ϵ*Cmin*(T1-t1)
This formula uses 5 Variables
Variables Used
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.
Entry Temperature of Hot Fluid - (Measured in Kelvin) - Entry temperature of hot fluid is the temperature of the hot fluid at entry.
Entry Temperature of Cold Fluid - (Measured in Kelvin) - Entry temperature of cold fluid is the temperature of the cold fluid at entry.
STEP 1: Convert Input(s) to Base Unit
Effectiveness of Heat Exchanger: 8 --> No Conversion Required
Smaller Value: 30 --> No Conversion Required
Entry Temperature of Hot Fluid: 60 Kelvin --> 60 Kelvin No Conversion Required
Entry Temperature of Cold Fluid: 10 Kelvin --> 10 Kelvin No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Q = ϵ*Cmin*(T1-t1) --> 8*30*(60-10)
Evaluating ... ...
Q = 12000
STEP 3: Convert Result to Output's Unit
12000 Watt --> No Conversion Required
FINAL ANSWER
12000 Watt <-- Heat exchanged
(Calculation completed in 00.020 seconds)

Credits

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Created by Nishan Poojary
Shri Madhwa Vadiraja Institute of Technology and Management (SMVITM), Udupi
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Verified by Sagar S Kulkarni
Dayananda Sagar College of Engineering (DSCE), Bengaluru
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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 NTU method Formula

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

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 NTU method?

Heat exchanged NTU method calculator uses Heat exchanged = Effectiveness of Heat Exchanger*Smaller Value*(Entry Temperature of Hot Fluid-Entry Temperature of Cold Fluid) to calculate the Heat exchanged, Heat exchanged NTU method formula is defined as a technique used to analyze the performance of heat exchangers by relating the heat transfer rate to the effectiveness and the minimum heat capacity rate, facilitating efficient thermal design and evaluation. Heat exchanged is denoted by Q symbol.

How to calculate Heat exchanged NTU method using this online calculator? To use this online calculator for Heat exchanged NTU method, enter Effectiveness of Heat Exchanger (ϵ), Smaller Value (Cmin), Entry Temperature of Hot Fluid (T1) & Entry Temperature of Cold Fluid (t1) and hit the calculate button. Here is how the Heat exchanged NTU method calculation can be explained with given input values -> 12000 = 8*30*(60-10).

FAQ

What is Heat exchanged NTU method?
Heat exchanged NTU method formula is defined as a technique used to analyze the performance of heat exchangers by relating the heat transfer rate to the effectiveness and the minimum heat capacity rate, facilitating efficient thermal design and evaluation and is represented as Q = ϵ*Cmin*(T1-t1) or Heat exchanged = Effectiveness of Heat Exchanger*Smaller Value*(Entry Temperature of Hot Fluid-Entry Temperature of Cold Fluid). 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, Entry temperature of hot fluid is the temperature of the hot fluid at entry & Entry temperature of cold fluid is the temperature of the cold fluid at entry.
How to calculate Heat exchanged NTU method?
Heat exchanged NTU method formula is defined as a technique used to analyze the performance of heat exchangers by relating the heat transfer rate to the effectiveness and the minimum heat capacity rate, facilitating efficient thermal design and evaluation is calculated using Heat exchanged = Effectiveness of Heat Exchanger*Smaller Value*(Entry Temperature of Hot Fluid-Entry Temperature of Cold Fluid). To calculate Heat exchanged NTU method, you need Effectiveness of Heat Exchanger (ϵ), Smaller Value (Cmin), Entry Temperature of Hot Fluid (T1) & Entry Temperature of Cold Fluid (t1). With our tool, you need to enter the respective value for Effectiveness of Heat Exchanger, Smaller Value, Entry Temperature of Hot Fluid & Entry Temperature of Cold Fluid 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 Effectiveness of Heat Exchanger, Smaller Value, Entry Temperature of Hot Fluid & Entry Temperature of Cold Fluid. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Heat exchanged = Correction Factor*Overall Heat Transfer Coefficient*Area*Logarithmic Mean Temperature Difference
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