Effectiveness NTU method Solution

STEP 0: Pre-Calculation Summary
Formula Used
Effectiveness of Heat Exchanger = Heat exchanged/(Smaller Value*(Entry Temperature of Hot Fluid-Entry Temperature of Cold Fluid))
ϵ = Q/(Cmin*(T1-t1))
This formula uses 5 Variables
Variables Used
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.
Heat exchanged - (Measured in Watt) - Heat exchanged is the amount of heat transferred between two objects.
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
Heat exchanged: 50 Watt --> 50 Watt 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
ϵ = Q/(Cmin*(T1-t1)) --> 50/(30*(60-10))
Evaluating ... ...
ϵ = 0.0333333333333333
STEP 3: Convert Result to Output's Unit
0.0333333333333333 --> No Conversion Required
FINAL ANSWER
0.0333333333333333 0.033333 <-- Effectiveness of Heat Exchanger
(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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Verified by Sagar S Kulkarni
Dayananda Sagar College of Engineering (DSCE), Bengaluru
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12 Effectiveness Calculators

Effectiveness of heat exchanger with one shell pass and 2, 4, 6 tube pass
Go Effectiveness of Heat Exchanger = 1/(2*(1+Heat capacity ratio+((1+(Heat capacity ratio^2))^0.5)*((1+exp(-Number of Transfer Units*((1+(Heat capacity ratio^2))^0.5))/(1-exp(-Number of Transfer Units*((1+(Heat capacity ratio^2))^0.5)))))))
Effectiveness when mc-cc is minimum value
Go Effectiveness of Heat Exchanger = (Mass Flow Rate of Cold Fluid*Specific heat of cold fluid/Smaller Value)*((Exit Temperature of Cold Fluid-Entry Temperature of Cold Fluid)/(Entry Temperature of Hot Fluid-Entry Temperature of Cold Fluid))
Effectiveness when mhch is minimum value
Go Effectiveness of Heat Exchanger = (Mass Flow Rate of Hot Fluid*Specific heat of hot fluid/Smaller Value)*((Entry Temperature of Hot Fluid-Exit Temperature of Cold Fluid)/(Entry Temperature of Hot Fluid-Entry Temperature of Cold Fluid))
Effectiveness of heat exchanger in cross flow when both fluids are mixed
Go Effectiveness of Heat Exchanger = (1/((1/(1-exp(-1*Number of Transfer Units)))+(Heat capacity ratio/(1-exp(-1*Number of Transfer Units*Heat capacity ratio)))-(1/Number of Transfer Units)))
Effectiveness of heat exchanger in cross flow when both fluids are unmixed
Go Effectiveness of Heat Exchanger = 1-exp((exp(-1*Number of Transfer Units*Heat capacity ratio*(Number of Transfer Units^-0.22))-1)/Heat capacity ratio*(Number of Transfer Units^-0.22))
Effectiveness of double pipe counter flow heat exchanger
Go Effectiveness of Heat Exchanger = (1-exp(-1*Number of Transfer Units*(1-Heat capacity ratio)))/(1-Heat capacity ratio*exp(-1*Number of Transfer Units*(1-Heat capacity ratio)))
Effectiveness of heat exchanger when Cmax is mixed and Cmin is unmixed
Go Effectiveness of Heat Exchanger = (1/Heat capacity ratio)*(1-exp(-1*Heat capacity ratio*(1-exp(-1*Number of Transfer Units))))
Effectiveness of heat exchanger when Cmax is unmixed and Cmin is mixed
Go Effectiveness of Heat Exchanger = 1-exp(-(1/Heat capacity ratio)*(1-exp(-1*Number of Transfer Units*Heat capacity ratio)))
Effectiveness NTU method
Go Effectiveness of Heat Exchanger = Heat exchanged/(Smaller Value*(Entry Temperature of Hot Fluid-Entry Temperature of Cold Fluid))
Effectiveness in double pipe parallel flow heat exchanger
Go Effectiveness of Heat Exchanger = (1-exp(-1*Number of Transfer Units*(1+Heat capacity ratio)))/(1+Heat capacity ratio)
Effectiveness of double pipe counter flow heat exchanger given C equal to 1
Go Effectiveness of Heat Exchanger = Number of Transfer Units/(1+Number of Transfer Units)
Effectiveness of heat exchanger given all exchanger with C equal to 0
Go Effectiveness of Heat Exchanger = 1-exp(-Number of Transfer Units)

Effectiveness NTU method Formula

Effectiveness of Heat Exchanger = Heat exchanged/(Smaller Value*(Entry Temperature of Hot Fluid-Entry Temperature of Cold Fluid))
ϵ = Q/(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 Effectiveness NTU method?

Effectiveness NTU method calculator uses Effectiveness of Heat Exchanger = Heat exchanged/(Smaller Value*(Entry Temperature of Hot Fluid-Entry Temperature of Cold Fluid)) to calculate the Effectiveness of Heat Exchanger, The Effectiveness NTU method formula is defined as the ratio of the actual heat transfer to the maximum possible heat transfer. Effectiveness of Heat Exchanger is denoted by ϵ symbol.

How to calculate Effectiveness NTU method using this online calculator? To use this online calculator for Effectiveness NTU method, enter Heat exchanged (Q), Smaller Value (Cmin), Entry Temperature of Hot Fluid (T1) & Entry Temperature of Cold Fluid (t1) and hit the calculate button. Here is how the Effectiveness NTU method calculation can be explained with given input values -> 0.033333 = 50/(30*(60-10)).

FAQ

What is Effectiveness NTU method?
The Effectiveness NTU method formula is defined as the ratio of the actual heat transfer to the maximum possible heat transfer and is represented as ϵ = Q/(Cmin*(T1-t1)) or Effectiveness of Heat Exchanger = Heat exchanged/(Smaller Value*(Entry Temperature of Hot Fluid-Entry Temperature of Cold Fluid)). Heat exchanged is the amount of heat transferred between two objects, 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 Effectiveness NTU method?
The Effectiveness NTU method formula is defined as the ratio of the actual heat transfer to the maximum possible heat transfer is calculated using Effectiveness of Heat Exchanger = Heat exchanged/(Smaller Value*(Entry Temperature of Hot Fluid-Entry Temperature of Cold Fluid)). To calculate Effectiveness NTU method, you need Heat exchanged (Q), 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 Heat exchanged, 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 Effectiveness of Heat Exchanger?
In this formula, Effectiveness of Heat Exchanger uses Heat exchanged, Smaller Value, Entry Temperature of Hot Fluid & Entry Temperature of Cold Fluid. We can use 11 other way(s) to calculate the same, which is/are as follows -
  • Effectiveness of Heat Exchanger = (1-exp(-1*Number of Transfer Units*(1+Heat capacity ratio)))/(1+Heat capacity ratio)
  • Effectiveness of Heat Exchanger = (1-exp(-1*Number of Transfer Units*(1-Heat capacity ratio)))/(1-Heat capacity ratio*exp(-1*Number of Transfer Units*(1-Heat capacity ratio)))
  • Effectiveness of Heat Exchanger = Number of Transfer Units/(1+Number of Transfer Units)
  • Effectiveness of Heat Exchanger = (Mass Flow Rate of Cold Fluid*Specific heat of cold fluid/Smaller Value)*((Exit Temperature of Cold Fluid-Entry Temperature of Cold Fluid)/(Entry Temperature of Hot Fluid-Entry Temperature of Cold Fluid))
  • Effectiveness of Heat Exchanger = (Mass Flow Rate of Hot Fluid*Specific heat of hot fluid/Smaller Value)*((Entry Temperature of Hot Fluid-Exit Temperature of Cold Fluid)/(Entry Temperature of Hot Fluid-Entry Temperature of Cold Fluid))
  • Effectiveness of Heat Exchanger = 1-exp(-Number of Transfer Units)
  • Effectiveness of Heat Exchanger = (1/((1/(1-exp(-1*Number of Transfer Units)))+(Heat capacity ratio/(1-exp(-1*Number of Transfer Units*Heat capacity ratio)))-(1/Number of Transfer Units)))
  • Effectiveness of Heat Exchanger = 1-exp((exp(-1*Number of Transfer Units*Heat capacity ratio*(Number of Transfer Units^-0.22))-1)/Heat capacity ratio*(Number of Transfer Units^-0.22))
  • Effectiveness of Heat Exchanger = (1/Heat capacity ratio)*(1-exp(-1*Heat capacity ratio*(1-exp(-1*Number of Transfer Units))))
  • Effectiveness of Heat Exchanger = 1-exp(-(1/Heat capacity ratio)*(1-exp(-1*Number of Transfer Units*Heat capacity ratio)))
  • Effectiveness of Heat Exchanger = 1/(2*(1+Heat capacity ratio+((1+(Heat capacity ratio^2))^0.5)*((1+exp(-Number of Transfer Units*((1+(Heat capacity ratio^2))^0.5))/(1-exp(-Number of Transfer Units*((1+(Heat capacity ratio^2))^0.5)))))))
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