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NTU relation of double pipe counter flow heat exchanger Formula

GoNTU relation of double pipe parallel flow heat exchanger Formula

GoNTU relation of double pipe counter flow heat exchanger given C equal to 1 Formula

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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 = (\frac{1}{C - 1}) \cdot (\ln (\frac{ϵ - 1}{C \cdot ϵ - 1}))

NTU - Number of Transfer Units?C - Heat capacity ratio?ϵ - Effectiveness of Heat Exchanger?

NTU relation of double pipe counter flow heat exchanger Example

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Here is how the NTU relation of double pipe counter flow heat exchanger equation looks like with Values.

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

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

0.1081 = (\frac{1}{0.5 - 1}) \cdot (\ln (\frac{0.1 - 1}{0.5 \cdot 0.1 - 1}))

0.1081 = (\frac{1}{0.5 - 1}) \cdot (\ln (\frac{0.1 - 1}{0.5 \cdot 0.1 - 1}))

0.1081 = (\frac{1}{0.5 - 1}) \cdot (\ln (\frac{0.1 - 1}{0.5 \cdot 0.1 - 1}))

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NTU relation of double pipe counter flow heat exchanger Solution

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

FIRST Step Consider the formula

NTU = (\frac{1}{C - 1}) \cdot (\ln (\frac{ϵ - 1}{C \cdot ϵ - 1}))

Next Step Substitute values of Variables

∴

NTU = (\frac{1}{0.5 - 1}) \cdot (\ln (\frac{0.1 - 1}{0.5 \cdot 0.1 - 1}))

Next Step Prepare to Evaluate

∴

NTU = (\frac{1}{0.5 - 1}) \cdot (\ln (\frac{0.1 - 1}{0.5 \cdot 0.1 - 1}))

Next Step Evaluate

∴

NTU = 0.108134442540551

LAST Step Rounding Answer

∴

NTU = 0.1081

NTU relation of double pipe counter flow heat exchanger 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 Units

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 ratio

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 Exchanger

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 = \frac{- \ln (1 - (1 + C) \cdot ϵ)}{1 + C}

Go NTU relation of double pipe counter flow heat exchanger given C equal to 1

NTU = \frac{ϵ}{1 - ϵ}

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

NTU = - \ln (1 + (\frac{1}{C}) \cdot (\ln (1 - C \cdot ϵ)))

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

NTU = (- \frac{1}{C}) \cdot (1 + (C \cdot (\ln (1 - ϵ))))

How to Evaluate NTU relation of double pipe counter flow heat exchanger?

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

How to evaluate NTU relation of double pipe counter flow heat exchanger using this online evaluator? To use this online evaluator for NTU relation of double pipe counter flow heat exchanger, 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

What is the formula to find NTU relation of double pipe counter flow heat exchanger?

The formula of NTU relation of double pipe counter flow heat exchanger is expressed as Number of Transfer Units = (1/(Heat capacity ratio-1))*(ln((Effectiveness of Heat Exchanger-1)/(Heat capacity ratio*Effectiveness of Heat Exchanger-1))). Here is an example- 0.108134 = (1/(0.5-1))*(ln((0.1-1)/(0.5*0.1-1))).

How to calculate NTU relation of double pipe counter flow heat exchanger?

With Heat capacity ratio (C) & Effectiveness of Heat Exchanger (ϵ) we can find NTU relation of double pipe counter flow heat exchanger using the formula - Number of Transfer Units = (1/(Heat capacity ratio-1))*(ln((Effectiveness of Heat Exchanger-1)/(Heat capacity ratio*Effectiveness of Heat Exchanger-1))). 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)
Number of Transfer Units=Effectiveness of Heat Exchanger/(1-Effectiveness of Heat Exchanger)
Number of Transfer Units=-ln(1+(1/Heat capacity ratio)*(ln(1-Heat capacity ratio*Effectiveness of Heat Exchanger)))

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: Unit

NTU relation of double pipe counter flow heat exchanger Formula

​GoNTU relation of double pipe parallel flow heat exchanger Formula

​GoNTU relation of double pipe counter flow heat exchanger given C equal to 1 Formula

NTU relation of double pipe counter flow heat exchanger Example

NTU relation of double pipe counter flow heat exchanger Solution

NTU relation of double pipe counter flow heat exchanger Formula Elements

Other Formulas to find Number of Transfer Units

How to Evaluate NTU relation of double pipe counter flow heat exchanger?

FAQs on NTU relation of double pipe counter flow heat exchanger

Variable Name

GoNTU relation of double pipe parallel flow heat exchanger Formula

GoNTU relation of double pipe counter flow heat exchanger given C equal to 1 Formula