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The effectiveness of heat exchanger is defined as the ratio of the actual heat transfer to the maximum possible heat transfer. Check FAQs
ϵ=1-exp(-1⋅NTU⋅(1-C))1-C⋅exp(-1⋅NTU⋅(1-C))
ϵ - Effectiveness of Heat Exchanger?NTU - Number of Transfer Units?C - Heat capacity ratio?

Effectiveness of double pipe counter flow heat exchanger Example

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With units
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Here is how the Effectiveness of double pipe counter flow heat exchanger equation looks like with Values.

Here is how the Effectiveness of double pipe counter flow heat exchanger equation looks like with Units.

Here is how the Effectiveness of double pipe counter flow heat exchanger equation looks like.

0.9988Edit=1-exp(-1⋅12Edit⋅(1-0.5Edit))1-0.5Edit⋅exp(-1⋅12Edit⋅(1-0.5Edit))
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Effectiveness of double pipe counter flow heat exchanger Solution

Follow our step by step solution on how to calculate Effectiveness of double pipe counter flow heat exchanger?

FIRST Step Consider the formula
ϵ=1-exp(-1⋅NTU⋅(1-C))1-C⋅exp(-1⋅NTU⋅(1-C))
Next Step Substitute values of Variables
∴ ϵ=1-exp(-1⋅12⋅(1-0.5))1-0.5⋅exp(-1⋅12⋅(1-0.5))
Next Step Prepare to Evaluate
∴ ϵ=1-exp(-1⋅12⋅(1-0.5))1-0.5⋅exp(-1⋅12⋅(1-0.5))
Next Step Evaluate
∴ϵ=0.998759085952469
LAST Step Rounding Answer
∴ϵ=0.9988

Effectiveness of double pipe counter flow heat exchanger Formula Elements

Variables
Functions
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.
Symbol: ϵ
Measurement: NAUnit: Unitless
Note: Value should be greater than 0.
Formulas to find Effectiveness of Heat ExchangerOpen Variable
Number of Transfer Units
The number of transfer units is defined as ratio of overall thermal conductance to smaller heat capacity rate. NTU designates non-dimensional heat transfer size or thermal size of the exchanger.
Symbol: NTU
Measurement: NAUnit: Unitless
Note: Value should be greater than 0.
Formulas to find Number of Transfer UnitsOpen Variable
Heat capacity ratio
Heat capacity ratio is the ratio of cmin and cmax.
Symbol: C
Measurement: NAUnit: Unitless
Note: Value can be positive or negative.
Formulas to find Heat capacity ratioOpen Variable
exp
n an exponential function, the value of the function changes by a constant factor for every unit change in the independent variable.
Syntax: exp(Number)

Other Formulas to find Effectiveness of Heat Exchanger

​Go Effectiveness NTU method
ϵ=QCmin⋅(T1-t1)
​Go Effectiveness in double pipe parallel flow heat exchanger
ϵ=1-exp(-1⋅NTU⋅(1+C))1+C
​Go Effectiveness of double pipe counter flow heat exchanger given C equal to 1
ϵ=NTU1+NTU
​Go Effectiveness when mc-cc is minimum value
ϵ=(mc⋅ccCmin)⋅(t2-t1T1-t1)

How to Evaluate Effectiveness of double pipe counter flow heat exchanger?

Effectiveness of double pipe counter flow heat exchanger evaluator uses 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))) to evaluate the Effectiveness of Heat Exchanger, The Effectiveness of double pipe counter flow heat exchanger 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 evaluate Effectiveness of double pipe counter flow heat exchanger using this online evaluator? To use this online evaluator for Effectiveness of double pipe counter flow heat exchanger, enter Number of Transfer Units (NTU) & Heat capacity ratio (C) and hit the calculate button.

FAQs on Effectiveness of double pipe counter flow heat exchanger

What is the formula to find Effectiveness of double pipe counter flow heat exchanger?
The formula of Effectiveness of double pipe counter flow heat exchanger is expressed as 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))). Here is an example- 0.998759 = (1-exp(-1*12*(1-0.5)))/(1-0.5*exp(-1*12*(1-0.5))).
How to calculate Effectiveness of double pipe counter flow heat exchanger?
With Number of Transfer Units (NTU) & Heat capacity ratio (C) we can find Effectiveness of double pipe counter flow heat exchanger using the formula - 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))). This formula also uses Exponential Growth (exp) function(s).
What are the other ways to Calculate Effectiveness of Heat Exchanger?
Here are the different ways to Calculate Effectiveness of Heat Exchanger-
  • Effectiveness of Heat Exchanger=Heat exchanged/(Smaller Value*(Entry Temperature of Hot Fluid-Entry Temperature of Cold Fluid))OpenImg
  • Effectiveness of Heat Exchanger=(1-exp(-1*Number of Transfer Units*(1+Heat capacity ratio)))/(1+Heat capacity ratio)OpenImg
  • Effectiveness of Heat Exchanger=Number of Transfer Units/(1+Number of Transfer Units)OpenImg
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