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

✖Heat capacity ratio is the ratio of cmin and cmax.ⓘ Heat capacity ratio [C]			+10% -10%
✖The number of transfer units is defined as ratio of overall thermal conductance to smaller heat capacity rate. NTU designates non-dimensional heat transfer size or thermal size of the exchanger.ⓘ Number of Transfer Units [NTU]			+10% -10%

✖The effectiveness of heat exchanger is defined as the ratio of the actual heat transfer 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 defined as the ratio of the actual heat transfer to the maximum possible heat transfer.
Heat capacity ratio - Heat capacity ratio is the ratio of cmin and cmax.
Number of Transfer Units - The number of transfer units is defined as ratio of overall thermal conductance to smaller heat capacity rate. NTU designates non-dimensional heat transfer size or thermal size of the exchanger.

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 00.007 seconds)

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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 Heat exchanger

A heat exchanger is a system used to transfer heat between two or more fluids. Heat exchangers are used in both cooling and heating processes. The fluids may be separated by a solid wall to prevent mixing or they may be in direct contact. They are widely used in space heating, refrigeration, air conditioning, power stations, chemical plants, petrochemical plants, petroleum refineries, natural-gas processing, and sewage treatment. The classic example of a heat exchanger is found in an internal combustion engine in which a circulating fluid known as engine coolant flows through radiator coils and air flows past the coils, which cools the coolant and heats the incoming air. Another example is the heat sink, which is a passive heat exchanger that transfers the heat generated by an electronic or a mechanical device to a fluid medium, often air or a liquid coolant.

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

The Effectiveness of heat exchanger with one shell pass and 2, 4, 6 tube pass formula is defined as the ratio of the actual heat transfer to the maximum possible heat transfer 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))))))). Heat capacity ratio is the ratio of cmin and cmax & The number of transfer units is defined as ratio of overall thermal conductance to smaller heat capacity rate. NTU designates non-dimensional heat transfer size or thermal size of the exchanger.

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

The Effectiveness of heat exchanger with one shell pass and 2, 4, 6 tube pass formula is defined as the ratio of the actual heat transfer to the maximum possible heat transfer 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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