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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 a measure of how efficiently a heat exchanger transfers heat compared to the maximum possible heat transfer. Check FAQs

ϵ = (mc \cdot \frac{cc}{C min}) \cdot (\frac{T C2 - T C1}{T H1 - T C1})

ϵ - Effectiveness of Heat Exchanger?mc - Mass Flow Rate of Cold Fluid?cc - Specific Heat of Cold Fluid?C_min - Smaller Value?T_C2 - Exit Temperature of Cold Fluid?T_C1 - Entry Temperature of Cold Fluid?T_H1 - 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.

0.9 = (500 \cdot \frac{0.18}{30}) \cdot (\frac{25 - 10}{60 - 10})

0.9 = (500kg/s \cdot \frac{0.18J/(kg*K)}{30}) \cdot (\frac{25K - 10K}{60K - 10K})

0.9 = (500 \cdot \frac{0.18}{30}) \cdot (\frac{25 - 10}{60 - 10})

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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{T C2 - T C1}{T H1 - T C1})

Next Step Substitute values of Variables

∴

ϵ = (500kg/s \cdot \frac{0.18J/(kg*K)}{30}) \cdot (\frac{25K - 10K}{60K - 10K})

Next Step Prepare to Evaluate

∴

ϵ = (500 \cdot \frac{0.18}{30}) \cdot (\frac{25 - 10}{60 - 10})

LAST Step Evaluate

∴

ϵ = 0.9

Effectiveness when mc-cc is minimum value Formula Elements

Variables

Effectiveness of Heat Exchanger

The Effectiveness of Heat Exchanger is a measure of how efficiently a heat exchanger transfers heat compared 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

The Mass Flow Rate of Cold Fluid is the quantity of cold fluid passing through a system per unit time, crucial for analyzing heat exchanger performance.

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

The Specific Heat of Cold Fluid is the amount of heat required to raise the temperature of a unit mass of the cold fluid by one degree Celsius.

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

The Smaller Value is the lesser of two effectiveness measures for heat exchangers, providing insight into the performance efficiency of the system.

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

The Exit Temperature of Cold Fluid is the temperature at which the cold fluid exits the heat exchanger, reflecting its heat absorption from the hot fluid.

Symbol: T_C2

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

The Entry Temperature of Cold Fluid is the initial temperature of the fluid entering a heat exchanger, influencing its thermal performance and overall effectiveness in heat transfer.

Symbol: T_C1

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

The Entry Temperature of Hot Fluid is the initial temperature of the fluid entering a heat exchanger, influencing its heat transfer efficiency and overall performance.

Symbol: T_H1

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 (T H1 - T C1)}

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, Effectiveness when mc-cc is minimum value formula is defined as a measure of the performance of a heat exchanger under conditions where the heat capacity rates are at their minimum, indicating the efficiency of heat transfer between fluids. 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 (T_C2), Entry Temperature of Cold Fluid (T_C1) & Entry Temperature of Hot Fluid (T_H1) 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*0.18/30)*((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 (T_C2), Entry Temperature of Cold Fluid (T_C1) & Entry Temperature of Hot Fluid (T_H1) 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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