Effectiveness of heat exchanger with one shell pass and 2, 4, 6 tube pass Calculator

✖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 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 Effectiveness of Heat Exchanger is a measure of how efficiently a heat exchanger transfers heat compared to the maximum possible heat transfer.ⓘ Effectiveness of heat exchanger with one shell pass and 2, 4, 6 tube pass [ϵ]

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Effectiveness of heat exchanger with one shell pass and 2, 4, 6 tube pass Solution

STEP 0: Pre-Calculation Summary

Formula Used

Effectiveness of Heat Exchanger = 1/(2*(1+Heat Capacity Ratio+((1+(Heat Capacity Ratio^2))^0.5)*((1+exp(-Number of Transfer Units*((1+(Heat Capacity Ratio^2))^0.5))/(1-exp(-Number of Transfer Units*((1+(Heat Capacity Ratio^2))^0.5)))))))
ϵ = 1/(2*(1+C+((1+(C^2))^0.5)*((1+exp(-NTU*((1+(C^2))^0.5))/(1-exp(-NTU*((1+(C^2))^0.5)))))))
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.
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.
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.

STEP 1: Convert Input(s) to Base Unit

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

STEP 2: Evaluate Formula

Substituting Input Values in Formula

ϵ = 1/(2*(1+C+((1+(C^2))^0.5)*((1+exp(-NTU*((1+(C^2))^0.5))/(1-exp(-NTU*((1+(C^2))^0.5))))))) --> 1/(2*(1+0.5+((1+(0.5^2))^0.5)*((1+exp(-12*((1+(0.5^2))^0.5))/(1-exp(-12*((1+(0.5^2))^0.5)))))))

Evaluating ... ...

ϵ = 0.19098288406163

STEP 3: Convert Result to Output's Unit

0.19098288406163 --> No Conversion Required

FINAL ANSWER

0.19098288406163 ≈ 0.190983 <-- Effectiveness of Heat Exchanger

(Calculation completed in 00.004 seconds)

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Created by Nishan Poojary

Shri Madhwa Vadiraja Institute of Technology and Management (SMVITM), Udupi

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< Effectiveness Calculators

Effectiveness of double pipe counter flow heat exchanger

LaTeX 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

LaTeX 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

LaTeX 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

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

Effectiveness of heat exchanger with one shell pass and 2, 4, 6 tube pass Formula

LaTeX Go

What is Prallel Flow?

Parallel flow in heat exchangers occurs when two fluids flow in the same direction through the exchanger. In this arrangement, the temperature difference between the fluids decreases along the length of the exchanger, leading to less efficient heat transfer compared to counter flow. Parallel flow is simpler to design and is used in applications where moderate heat transfer efficiency is acceptable.

How to Calculate Effectiveness of heat exchanger with one shell pass and 2, 4, 6 tube pass?

Effectiveness of heat exchanger with one shell pass and 2, 4, 6 tube pass calculator uses Effectiveness of Heat Exchanger = 1/(2*(1+Heat Capacity Ratio+((1+(Heat Capacity Ratio^2))^0.5)*((1+exp(-Number of Transfer Units*((1+(Heat Capacity Ratio^2))^0.5))/(1-exp(-Number of Transfer Units*((1+(Heat Capacity Ratio^2))^0.5))))))) to calculate the Effectiveness of Heat Exchanger, Effectiveness of heat exchanger with one shell pass and 2, 4, 6 tube pass formula is defined as a measure of the heat exchanger's ability to transfer heat compared to the maximum possible heat transfer, reflecting its performance efficiency. Effectiveness of Heat Exchanger is denoted by ϵ symbol.

How to calculate Effectiveness of heat exchanger with one shell pass and 2, 4, 6 tube pass using this online calculator? To use this online calculator for Effectiveness of heat exchanger with one shell pass and 2, 4, 6 tube pass, enter Heat Capacity Ratio (C) & Number of Transfer Units (NTU) and hit the calculate button. Here is how the Effectiveness of heat exchanger with one shell pass and 2, 4, 6 tube pass calculation can be explained with given input values -> 0.190983 = 1/(2*(1+0.5+((1+(0.5^2))^0.5)*((1+exp(-12*((1+(0.5^2))^0.5))/(1-exp(-12*((1+(0.5^2))^0.5))))))).

FAQ

What is Effectiveness of heat exchanger with one shell pass and 2, 4, 6 tube pass?

Effectiveness of heat exchanger with one shell pass and 2, 4, 6 tube pass formula is defined as a measure of the heat exchanger's ability to transfer heat compared to the maximum possible heat transfer, reflecting its performance efficiency and is represented as ϵ = 1/(2*(1+C+((1+(C^2))^0.5)*((1+exp(-NTU*((1+(C^2))^0.5))/(1-exp(-NTU*((1+(C^2))^0.5))))))) or Effectiveness of Heat Exchanger = 1/(2*(1+Heat Capacity Ratio+((1+(Heat Capacity Ratio^2))^0.5)*((1+exp(-Number of Transfer Units*((1+(Heat Capacity Ratio^2))^0.5))/(1-exp(-Number of Transfer Units*((1+(Heat Capacity Ratio^2))^0.5))))))). 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 & The Number of Transfer Units is a dimensionless measure that indicates the efficiency of a heat exchanger in transferring heat between two fluids.

How to calculate Effectiveness of heat exchanger with one shell pass and 2, 4, 6 tube pass?

Effectiveness of heat exchanger with one shell pass and 2, 4, 6 tube pass formula is defined as a measure of the heat exchanger's ability to transfer heat compared to the maximum possible heat transfer, reflecting its performance efficiency is calculated using Effectiveness of Heat Exchanger = 1/(2*(1+Heat Capacity Ratio+((1+(Heat Capacity Ratio^2))^0.5)*((1+exp(-Number of Transfer Units*((1+(Heat Capacity Ratio^2))^0.5))/(1-exp(-Number of Transfer Units*((1+(Heat Capacity Ratio^2))^0.5))))))). To calculate Effectiveness of heat exchanger with one shell pass and 2, 4, 6 tube pass, you need Heat Capacity Ratio (C) & Number of Transfer Units (NTU). With our tool, you need to enter the respective value for Heat Capacity Ratio & Number of Transfer Units 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 Heat Capacity Ratio & Number of Transfer Units. 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 = (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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