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 00.004 seconds)

Credits

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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

Heat exchanged NTU method Formula

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, The Heat exchanged NTU method formula is defined as the amount of heat transferred between the fluids in the heat exchanger. 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?
The Heat exchanged NTU method formula is defined as the amount of heat transferred between the fluids in the heat exchanger 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?
The Heat exchanged NTU method formula is defined as the amount of heat transferred between the fluids in the heat exchanger 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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