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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. Check FAQs
NTU=-ln(1+(1C)⋅(ln(1-C⋅ϵ)))
NTU - Number of Transfer Units?C - Heat capacity ratio?ϵ - Effectiveness of Heat Exchanger?

NTU relation of double pipe counter flow heat exchanger with Cmax mixed and Cmin unmixed Example

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Here is how the NTU relation of double pipe counter flow heat exchanger with Cmax mixed and Cmin unmixed equation looks like with Values.

Here is how the NTU relation of double pipe counter flow heat exchanger with Cmax mixed and Cmin unmixed equation looks like with Units.

Here is how the NTU relation of double pipe counter flow heat exchanger with Cmax mixed and Cmin unmixed equation looks like.

0.1082Edit=-ln(1+(10.5Edit)⋅(ln(1-0.5Edit⋅0.1Edit)))
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NTU relation of double pipe counter flow heat exchanger with Cmax mixed and Cmin unmixed Solution

Follow our step by step solution on how to calculate NTU relation of double pipe counter flow heat exchanger with Cmax mixed and Cmin unmixed?

FIRST Step Consider the formula
NTU=-ln(1+(1C)⋅(ln(1-C⋅ϵ)))
Next Step Substitute values of Variables
∴ NTU=-ln(1+(10.5)⋅(ln(1-0.5⋅0.1)))
Next Step Prepare to Evaluate
∴ NTU=-ln(1+(10.5)⋅(ln(1-0.5⋅0.1)))
Next Step Evaluate
∴NTU=0.108238641017825
LAST Step Rounding Answer
∴NTU=0.1082

NTU relation of double pipe counter flow heat exchanger with Cmax mixed and Cmin unmixed Formula Elements

Variables
Functions
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 can be positive or negative.
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
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
ln
The natural logarithm, also known as the logarithm to the base e, is the inverse function of the natural exponential function.
Syntax: ln(Number)

Other Formulas to find Number of Transfer Units

​Go NTU relation of double pipe parallel flow heat exchanger
NTU=-ln(1-(1+C)⋅ϵ)1+C
​Go NTU relation of double pipe counter flow heat exchanger
NTU=(1C-1)⋅(ln(ϵ-1C⋅ϵ-1))
​Go NTU relation of double pipe counter flow heat exchanger given C equal to 1
NTU=ϵ1-ϵ
​Go NTU relation of double pipe counter flow heat exchanger with Cmax unmixed and Cmin mixed
NTU=(-1C)⋅(1+(C⋅(ln(1-ϵ))))

How to Evaluate NTU relation of double pipe counter flow heat exchanger with Cmax mixed and Cmin unmixed?

NTU relation of double pipe counter flow heat exchanger with Cmax mixed and Cmin unmixed evaluator uses Number of Transfer Units = -ln(1+(1/Heat capacity ratio)*(ln(1-Heat capacity ratio*Effectiveness of Heat Exchanger))) to evaluate the Number of Transfer Units, The NTU relation of double pipe counter flow heat exchanger with Cmax mixed and Cmin unmixed formula is defined as the amount of energy units transferred between the fluids in the heat exchanger. Number of Transfer Units is denoted by NTU symbol.

How to evaluate NTU relation of double pipe counter flow heat exchanger with Cmax mixed and Cmin unmixed using this online evaluator? To use this online evaluator for NTU relation of double pipe counter flow heat exchanger with Cmax mixed and Cmin unmixed, enter Heat capacity ratio (C) & Effectiveness of Heat Exchanger (ϵ) and hit the calculate button.

FAQs on NTU relation of double pipe counter flow heat exchanger with Cmax mixed and Cmin unmixed

What is the formula to find NTU relation of double pipe counter flow heat exchanger with Cmax mixed and Cmin unmixed?
The formula of NTU relation of double pipe counter flow heat exchanger with Cmax mixed and Cmin unmixed is expressed as Number of Transfer Units = -ln(1+(1/Heat capacity ratio)*(ln(1-Heat capacity ratio*Effectiveness of Heat Exchanger))). Here is an example- 0.108239 = -ln(1+(1/0.5)*(ln(1-0.5*0.1))).
How to calculate NTU relation of double pipe counter flow heat exchanger with Cmax mixed and Cmin unmixed?
With Heat capacity ratio (C) & Effectiveness of Heat Exchanger (ϵ) we can find NTU relation of double pipe counter flow heat exchanger with Cmax mixed and Cmin unmixed using the formula - Number of Transfer Units = -ln(1+(1/Heat capacity ratio)*(ln(1-Heat capacity ratio*Effectiveness of Heat Exchanger))). This formula also uses Natural Logarithm (ln) function(s).
What are the other ways to Calculate Number of Transfer Units?
Here are the different ways to Calculate Number of Transfer Units-
  • Number of Transfer Units=(-ln(1-(1+Heat capacity ratio)*Effectiveness of Heat Exchanger))/(1+Heat capacity ratio)OpenImg
  • Number of Transfer Units=(1/(Heat capacity ratio-1))*(ln((Effectiveness of Heat Exchanger-1)/(Heat capacity ratio*Effectiveness of Heat Exchanger-1)))OpenImg
  • Number of Transfer Units=Effectiveness of Heat Exchanger/(1-Effectiveness of Heat Exchanger)OpenImg
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