Effectiveness of double pipe counter flow heat exchanger Calculator

✖The Number of Transfer Units is a dimensionless measure that indicates the efficiency of a heat exchanger in transferring heat between two fluids.ⓘ Number of Transfer Units [NTU]			+10% -10%
✖The Heat Capacity Ratio is the ratio of the heat capacity of a substance at constant pressure to that at constant volume, influencing thermal performance in heat exchangers.ⓘ Heat Capacity Ratio [C]			+10% -10%

✖The Effectiveness of Heat Exchanger is a measure of how efficiently a heat exchanger transfers heat compared to the maximum possible heat transfer.ⓘ Effectiveness of double pipe counter flow heat exchanger [ϵ]

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Effectiveness of double pipe counter flow heat exchanger Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)))
ϵ = (1-exp(-1*NTU*(1-C)))/(1-C*exp(-1*NTU*(1-C)))
This formula uses 1 Functions, 3 Variables

Functions Used

exp - n an exponential function, the value of the function changes by a constant factor for every unit change in the independent variable., exp(Number)

Variables Used

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.
Number of Transfer Units - The Number of Transfer Units is a dimensionless measure that indicates the efficiency of a heat exchanger in transferring heat between two fluids.
Heat Capacity Ratio - The Heat Capacity Ratio is the ratio of the heat capacity of a substance at constant pressure to that at constant volume, influencing thermal performance in heat exchangers.

STEP 1: Convert Input(s) to Base Unit

Number of Transfer Units: 12 --> No Conversion Required
Heat Capacity Ratio: 0.5 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

ϵ = (1-exp(-1*NTU*(1-C)))/(1-C*exp(-1*NTU*(1-C))) --> (1-exp(-1*12*(1-0.5)))/(1-0.5*exp(-1*12*(1-0.5)))

Evaluating ... ...

ϵ = 0.998759085952469

STEP 3: Convert Result to Output's Unit

0.998759085952469 --> No Conversion Required

FINAL ANSWER

0.998759085952469 ≈ 0.998759 <-- Effectiveness of Heat Exchanger

(Calculation completed in 00.004 seconds)

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Effectiveness of double pipe counter flow heat exchanger

Go 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)))

Effectiveness NTU method

Go Effectiveness of Heat Exchanger = Heat Exchanged/(Smaller Value*(Entry Temperature of Hot Fluid-Entry Temperature of Cold Fluid))

Effectiveness in double pipe parallel flow heat exchanger

Go Effectiveness of Heat Exchanger = (1-exp(-1*Number of Transfer Units*(1+Heat Capacity Ratio)))/(1+Heat Capacity Ratio)

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

Go Effectiveness of Heat Exchanger = Number of Transfer Units/(1+Number of Transfer Units)

Effectiveness of double pipe counter flow heat exchanger Formula

What is Counter Flow?

Counter flow in heat exchangers occurs when two fluids flow in opposite directions, maximizing the temperature difference between them. This arrangement allows for more efficient heat transfer, as the temperature gradient remains high across the length of the exchanger. Counter flow is commonly used in applications requiring high thermal efficiency, such as condensers, boilers, and industrial heat recovery systems.

How to Calculate Effectiveness of double pipe counter flow heat exchanger?

Effectiveness of double pipe counter flow heat exchanger calculator uses 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))) to calculate the Effectiveness of Heat Exchanger, Effectiveness of double pipe counter flow heat exchanger formula is defined as a measure of the heat exchanger's ability to transfer heat compared to the maximum possible heat transfer under ideal conditions. It reflects the efficiency of the heat exchange process. Effectiveness of Heat Exchanger is denoted by ϵ symbol.

How to calculate Effectiveness of double pipe counter flow heat exchanger using this online calculator? To use this online calculator for Effectiveness of double pipe counter flow heat exchanger, enter Number of Transfer Units (NTU) & Heat Capacity Ratio (C) and hit the calculate button. Here is how the Effectiveness of double pipe counter flow heat exchanger calculation can be explained with given input values -> 0.998759 = (1-exp(-1*12*(1-0.5)))/(1-0.5*exp(-1*12*(1-0.5))).

FAQ

What is Effectiveness of double pipe counter flow heat exchanger?

Effectiveness of double pipe counter flow heat exchanger formula is defined as a measure of the heat exchanger's ability to transfer heat compared to the maximum possible heat transfer under ideal conditions. It reflects the efficiency of the heat exchange process and is represented as ϵ = (1-exp(-1*NTU*(1-C)))/(1-C*exp(-1*NTU*(1-C))) or 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))). The Number of Transfer Units is a dimensionless measure that indicates the efficiency of a heat exchanger in transferring heat between two fluids & The Heat Capacity Ratio is the ratio of the heat capacity of a substance at constant pressure to that at constant volume, influencing thermal performance in heat exchangers.

How to calculate Effectiveness of double pipe counter flow heat exchanger?

Effectiveness of double pipe counter flow heat exchanger formula is defined as a measure of the heat exchanger's ability to transfer heat compared to the maximum possible heat transfer under ideal conditions. It reflects the efficiency of the heat exchange process is calculated using 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))). To calculate Effectiveness of double pipe counter flow heat exchanger, you need Number of Transfer Units (NTU) & Heat Capacity Ratio (C). With our tool, you need to enter the respective value for Number of Transfer Units & Heat Capacity Ratio and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Effectiveness of Heat Exchanger?

In this formula, Effectiveness of Heat Exchanger uses Number of Transfer Units & Heat Capacity Ratio. We can use 3 other way(s) to calculate the same, which is/are as follows -

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 = Number of Transfer Units/(1+Number of Transfer Units)

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