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Effectiveness of heat exchanger in cross flow when both fluids are mixed Formula

GoEffectiveness NTU method Formula

GoEffectiveness in double pipe parallel flow heat exchanger Formula

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

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

Effectiveness of heat exchanger in cross flow when both fluids are mixed Example

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Here is how the Effectiveness of heat exchanger in cross flow when both fluids are mixed equation looks like with Values.

Here is how the Effectiveness of heat exchanger in cross flow when both fluids are mixed equation looks like with Units.

Here is how the Effectiveness of heat exchanger in cross flow when both fluids are mixed equation looks like.

0.7053 = (\frac{1}{(\frac{1}{1 - \exp (- 1 \cdot 12)}) + (\frac{0.5}{1 - \exp (- 1 \cdot 12 \cdot 0.5)}) - (\frac{1}{12})})

0.7053 = (\frac{1}{(\frac{1}{1 - \exp (- 1 \cdot 12)}) + (\frac{0.5}{1 - \exp (- 1 \cdot 12 \cdot 0.5)}) - (\frac{1}{12})})

0.7053 = (\frac{1}{(\frac{1}{1 - \exp (- 1 \cdot 12)}) + (\frac{0.5}{1 - \exp (- 1 \cdot 12 \cdot 0.5)}) - (\frac{1}{12})})

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Effectiveness of heat exchanger in cross flow when both fluids are mixed Solution

Follow our step by step solution on how to calculate Effectiveness of heat exchanger in cross flow when both fluids are mixed?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

ϵ = (\frac{1}{(\frac{1}{1 - \exp (- 1 \cdot 12)}) + (\frac{0.5}{1 - \exp (- 1 \cdot 12 \cdot 0.5)}) - (\frac{1}{12})})

Next Step Prepare to Evaluate

∴

ϵ = (\frac{1}{(\frac{1}{1 - \exp (- 1 \cdot 12)}) + (\frac{0.5}{1 - \exp (- 1 \cdot 12 \cdot 0.5)}) - (\frac{1}{12})})

Next Step Evaluate

∴

ϵ = 0.70526076095893

LAST Step Rounding Answer

∴

ϵ = 0.7053

Effectiveness of heat exchanger in cross flow when both fluids are mixed 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 Exchanger

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 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

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 = \frac{Q}{C min \cdot (T1 - t1)}

Go Effectiveness in double pipe parallel flow heat exchanger

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

Go Effectiveness of double pipe counter flow heat exchanger

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

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

ϵ = \frac{NTU}{1 + NTU}

How to Evaluate Effectiveness of heat exchanger in cross flow when both fluids are mixed?

Effectiveness of heat exchanger in cross flow when both fluids are mixed evaluator uses 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))) to evaluate the Effectiveness of Heat Exchanger, The Effectiveness of heat exchanger in cross flow when both fluids are mixed formula is defined as the ratio of the actual heat transfer to the maximum possible heat transfer for a cross flow with fluids unmixed. Effectiveness of Heat Exchanger is denoted by ϵ symbol.

How to evaluate Effectiveness of heat exchanger in cross flow when both fluids are mixed using this online evaluator? To use this online evaluator for Effectiveness of heat exchanger in cross flow when both fluids are mixed, enter Number of Transfer Units (NTU) & Heat capacity ratio (C) and hit the calculate button.

FAQs on Effectiveness of heat exchanger in cross flow when both fluids are mixed

What is the formula to find Effectiveness of heat exchanger in cross flow when both fluids are mixed?

The formula of Effectiveness of heat exchanger in cross flow when both fluids are mixed is expressed as 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))). Here is an example- 0.705261 = (1/((1/(1-exp(-1*12)))+(0.5/(1-exp(-1*12*0.5)))-(1/12))).

How to calculate Effectiveness of heat exchanger in cross flow when both fluids are mixed?

With Number of Transfer Units (NTU) & Heat capacity ratio (C) we can find Effectiveness of heat exchanger in cross flow when both fluids are mixed using the formula - 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))). 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))
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)))

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: Unit

Effectiveness of heat exchanger in cross flow when both fluids are mixed Formula

​GoEffectiveness NTU method Formula

​GoEffectiveness in double pipe parallel flow heat exchanger Formula

Effectiveness of heat exchanger in cross flow when both fluids are mixed Example

Effectiveness of heat exchanger in cross flow when both fluids are mixed Solution

Effectiveness of heat exchanger in cross flow when both fluids are mixed Formula Elements

Other Formulas to find Effectiveness of Heat Exchanger

How to Evaluate Effectiveness of heat exchanger in cross flow when both fluids are mixed?

FAQs on Effectiveness of heat exchanger in cross flow when both fluids are mixed

Variable Name

GoEffectiveness NTU method Formula

GoEffectiveness in double pipe parallel flow heat exchanger Formula