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Effectiveness when mhch is minimum value Formula

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GoEffectiveness NTU method Formula

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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 = (mh \cdot \frac{ch}{C min}) \cdot (\frac{T1 - t2}{T1 - t1})

ϵ - Effectiveness of Heat Exchanger?mh - Mass Flow Rate of Hot Fluid?ch - Specific heat of hot fluid?C_min - Smaller Value?T1 - Entry Temperature of Hot Fluid?t2 - Exit Temperature of Cold Fluid?t1 - Entry Temperature of Cold Fluid?

Effectiveness when mhch is minimum value Example

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Here is how the Effectiveness when mhch is minimum value equation looks like with Values.

Here is how the Effectiveness when mhch is minimum value equation looks like with Units.

Here is how the Effectiveness when mhch is minimum value equation looks like.

9.975 = (285 \cdot \frac{1.5}{30}) \cdot (\frac{60 - 25}{60 - 10})

9.975 = (285kg/s \cdot \frac{1.5J/(kg*K)}{30}) \cdot (\frac{60K - 25K}{60K - 10K})

9.975 = (285 \cdot \frac{1.5}{30}) \cdot (\frac{60 - 25}{60 - 10})

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Effectiveness when mhch is minimum value Solution

Follow our step by step solution on how to calculate Effectiveness when mhch is minimum value?

FIRST Step Consider the formula

ϵ = (mh \cdot \frac{ch}{C min}) \cdot (\frac{T1 - t2}{T1 - t1})

Next Step Substitute values of Variables

∴

ϵ = (285kg/s \cdot \frac{1.5J/(kg*K)}{30}) \cdot (\frac{60K - 25K}{60K - 10K})

Next Step Prepare to Evaluate

∴

ϵ = (285 \cdot \frac{1.5}{30}) \cdot (\frac{60 - 25}{60 - 10})

LAST Step Evaluate

∴

ϵ = 9.975

Effectiveness when mhch is minimum value Formula Elements

Variables

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

Open Variable

Mass Flow Rate of Hot Fluid

Mass Flow Rate of Hot Fluid is the mass of the hot fluid which passes per unit of time.

Symbol: mh

Measurement: Mass Flow RateUnit: kg/s

Note: Value should be greater than 0.

Formulas to find Mass Flow Rate of Hot Fluid

Open Variable

Specific heat of hot fluid

Specific heat of hot fluid is the amount of heat required to change the temperature of a mass unit of a hot fluid by one degree.

Symbol: ch

Measurement: Specific Heat CapacityUnit: J/(kg*K)

Note: Value can be positive or negative.

Formulas to find Specific heat of hot fluid

Open Variable

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.

Symbol: C_min

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Smaller Value

Open Variable

Entry Temperature of Hot Fluid

Entry temperature of hot fluid is the temperature of the hot fluid at entry.

Symbol: T1

Measurement: TemperatureUnit: K

Note: Value can be positive or negative.

Formulas to find Entry Temperature of Hot Fluid

Open Variable

Exit Temperature of Cold Fluid

Exit temperature of cold fluid is the temperature of the cold fluid at exit.

Symbol: t2

Measurement: TemperatureUnit: K

Note: Value can be positive or negative.

Formulas to find Exit Temperature of Cold Fluid

Open Variable

Entry Temperature of Cold Fluid

Entry temperature of cold fluid is the temperature of the cold fluid at entry.

Symbol: t1

Measurement: TemperatureUnit: K

Note: Value can be positive or negative.

Formulas to find Entry Temperature of Cold Fluid

Open Variable

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}

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How to Evaluate Effectiveness when mhch is minimum value?

Effectiveness when mhch is minimum value evaluator uses 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)) to evaluate the Effectiveness of Heat Exchanger, The Effectiveness when mhch is minimum value formula is defined as as the ratio of the actual heat transfer to the maximum possible heat transfer when the mhch value is minimum. Effectiveness of Heat Exchanger is denoted by ϵ symbol.

How to evaluate Effectiveness when mhch is minimum value using this online evaluator? To use this online evaluator for Effectiveness when mhch is minimum value, enter Mass Flow Rate of Hot Fluid (mh), Specific heat of hot fluid (ch), Smaller Value (C_min), Entry Temperature of Hot Fluid (T1), Exit Temperature of Cold Fluid (t2) & Entry Temperature of Cold Fluid (t1) and hit the calculate button.

FAQs on Effectiveness when mhch is minimum value

What is the formula to find Effectiveness when mhch is minimum value?

The formula of Effectiveness when mhch is minimum value is expressed as 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)). Here is an example- 9.975 = (285*1.5/30)*((60-25)/(60-10)).

How to calculate Effectiveness when mhch is minimum value?

With Mass Flow Rate of Hot Fluid (mh), Specific heat of hot fluid (ch), Smaller Value (C_min), Entry Temperature of Hot Fluid (T1), Exit Temperature of Cold Fluid (t2) & Entry Temperature of Cold Fluid (t1) we can find Effectiveness when mhch is minimum value using the formula - 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)).

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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