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Effectiveness when mc-cc 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 = (mc \cdot \frac{cc}{C min}) \cdot (\frac{t2 - t1}{T1 - t1})

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

Effectiveness when mc-cc is minimum value Example

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Here is how the Effectiveness when mc-cc is minimum value equation looks like with Values.

Here is how the Effectiveness when mc-cc is minimum value equation looks like with Units.

Here is how the Effectiveness when mc-cc is minimum value equation looks like.

10 = (500 \cdot \frac{2}{30}) \cdot (\frac{25 - 10}{60 - 10})

10 = (500kg/s \cdot \frac{2J/(kg*K)}{30}) \cdot (\frac{25K - 10K}{60K - 10K})

10 = (500 \cdot \frac{2}{30}) \cdot (\frac{25 - 10}{60 - 10})

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Heat and Mass Transfer » fx Effectiveness when mc-cc is minimum value

Effectiveness when mc-cc is minimum value Solution

Follow our step by step solution on how to calculate Effectiveness when mc-cc is minimum value?

FIRST Step Consider the formula

ϵ = (mc \cdot \frac{cc}{C min}) \cdot (\frac{t2 - t1}{T1 - t1})

Next Step Substitute values of Variables

∴

ϵ = (500kg/s \cdot \frac{2J/(kg*K)}{30}) \cdot (\frac{25K - 10K}{60K - 10K})

Next Step Prepare to Evaluate

∴

ϵ = (500 \cdot \frac{2}{30}) \cdot (\frac{25 - 10}{60 - 10})

LAST Step Evaluate

∴

ϵ = 10

Effectiveness when mc-cc 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 Cold Fluid

Mass Flow Rate of Cold Fluid is the mass of the cold fluid which passes per unit of time.

Symbol: mc

Measurement: Mass Flow RateUnit: kg/s

Note: Value can be positive or negative.

Formulas to find Mass Flow Rate of Cold Fluid

Open Variable

Specific heat of cold fluid

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

Symbol: cc

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

Note: Value can be positive or negative.

Formulas to find Specific heat of cold 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

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

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

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 mc-cc is minimum value?

Effectiveness when mc-cc is minimum value evaluator uses Effectiveness of Heat Exchanger = (Mass Flow Rate of Cold Fluid*Specific heat of cold fluid/Smaller Value)*((Exit Temperature of Cold Fluid-Entry Temperature of Cold Fluid)/(Entry Temperature of Hot Fluid-Entry Temperature of Cold Fluid)) to evaluate the Effectiveness of Heat Exchanger, The Effectiveness when mc-cc is minimum value 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 when mc-cc is minimum value using this online evaluator? To use this online evaluator for Effectiveness when mc-cc is minimum value, enter Mass Flow Rate of Cold Fluid (mc), Specific heat of cold fluid (cc), Smaller Value (C_min), Exit Temperature of Cold Fluid (t2), Entry Temperature of Cold Fluid (t1) & Entry Temperature of Hot Fluid (T1) and hit the calculate button.

FAQs on Effectiveness when mc-cc is minimum value

What is the formula to find Effectiveness when mc-cc is minimum value?

The formula of Effectiveness when mc-cc is minimum value is expressed as Effectiveness of Heat Exchanger = (Mass Flow Rate of Cold Fluid*Specific heat of cold fluid/Smaller Value)*((Exit Temperature of Cold Fluid-Entry Temperature of Cold Fluid)/(Entry Temperature of Hot Fluid-Entry Temperature of Cold Fluid)). Here is an example- 10 = (500*2/30)*((25-10)/(60-10)).

How to calculate Effectiveness when mc-cc is minimum value?

With Mass Flow Rate of Cold Fluid (mc), Specific heat of cold fluid (cc), Smaller Value (C_min), Exit Temperature of Cold Fluid (t2), Entry Temperature of Cold Fluid (t1) & Entry Temperature of Hot Fluid (T1) we can find Effectiveness when mc-cc is minimum value using the formula - Effectiveness of Heat Exchanger = (Mass Flow Rate of Cold Fluid*Specific heat of cold fluid/Smaller Value)*((Exit Temperature of Cold Fluid-Entry 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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