NTU relation 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 effectiveness of heat exchanger is defined as the ratio of the actual heat transfer to the maximum possible heat transfer.ⓘ Effectiveness of Heat Exchanger [ϵ]			+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.ⓘ NTU relation of heat exchanger with one shell pass and 2, 4, 6 tube pass [NTU]

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

STEP 0: Pre-Calculation Summary

Formula Used

Number of Transfer Units = -((1+Heat capacity ratio^2)^-0.5)*(ln(((2/Effectiveness of Heat Exchanger)-1-Heat capacity ratio-((1+Heat capacity ratio^2)^-0.5)))/((2/Effectiveness of Heat Exchanger)-1-Heat capacity ratio+((1+Heat capacity ratio^2)^-0.5)))
NTU = -((1+C^2)^-0.5)*(ln(((2/ϵ)-1-C-((1+C^2)^-0.5)))/((2/ϵ)-1-C+((1+C^2)^-0.5)))
This formula uses 1 Functions, 3 Variables

Functions Used

ln - The natural logarithm, also known as the logarithm to the base e, is the inverse function of the natural exponential function., ln(Number)

Variables Used

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.
Heat capacity ratio - Heat capacity ratio is the ratio of cmin and cmax.
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.

STEP 1: Convert Input(s) to Base Unit

Heat capacity ratio: 0.5 --> No Conversion Required
Effectiveness of Heat Exchanger: 0.1 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

NTU = -((1+C^2)^-0.5)*(ln(((2/ϵ)-1-C-((1+C^2)^-0.5)))/((2/ϵ)-1-C+((1+C^2)^-0.5))) --> -((1+0.5^2)^-0.5)*(ln(((2/0.1)-1-0.5-((1+0.5^2)^-0.5)))/((2/0.1)-1-0.5+((1+0.5^2)^-0.5)))

Evaluating ... ...

NTU = -0.132275622144723

STEP 3: Convert Result to Output's Unit

-0.132275622144723 --> No Conversion Required

FINAL ANSWER

-0.132275622144723 ≈ -0.132276 <-- Number of Transfer Units

(Calculation completed in 00.020 seconds)

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< NTU Relations Calculators

NTU relation of double pipe counter flow heat exchanger

LaTeX Go Number of Transfer Units = (1/(Heat capacity ratio-1))*(ln((Effectiveness of Heat Exchanger-1)/(Heat capacity ratio*Effectiveness of Heat Exchanger-1)))

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LaTeX Go Number of Transfer Units = -ln(1+(1/Heat capacity ratio)*(ln(1-Heat capacity ratio*Effectiveness of Heat Exchanger)))

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LaTeX Go Number of Transfer Units = (-ln(1-(1+Heat capacity ratio)*Effectiveness of Heat Exchanger))/(1+Heat capacity ratio)

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

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

NTU relation 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 NTU relation of heat exchanger with one shell pass and 2, 4, 6 tube pass?

NTU relation of heat exchanger with one shell pass and 2, 4, 6 tube pass calculator uses Number of Transfer Units = -((1+Heat capacity ratio^2)^-0.5)*(ln(((2/Effectiveness of Heat Exchanger)-1-Heat capacity ratio-((1+Heat capacity ratio^2)^-0.5)))/((2/Effectiveness of Heat Exchanger)-1-Heat capacity ratio+((1+Heat capacity ratio^2)^-0.5))) to calculate the Number of Transfer Units, The NTU relation of heat exchanger with one shell pass and 2, 4, 6 tube pass formula is defined as the amount of energy units transferred between the fluids in the heat exchanger. Number of Transfer Units is denoted by NTU symbol.

How to calculate NTU relation of heat exchanger with one shell pass and 2, 4, 6 tube pass using this online calculator? To use this online calculator for NTU relation of heat exchanger with one shell pass and 2, 4, 6 tube pass, enter Heat capacity ratio (C) & Effectiveness of Heat Exchanger (ϵ) and hit the calculate button. Here is how the NTU relation of heat exchanger with one shell pass and 2, 4, 6 tube pass calculation can be explained with given input values -> -0.132276 = -((1+0.5^2)^-0.5)*(ln(((2/0.1)-1-0.5-((1+0.5^2)^-0.5)))/((2/0.1)-1-0.5+((1+0.5^2)^-0.5))).

FAQ

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

The NTU relation of heat exchanger with one shell pass and 2, 4, 6 tube pass formula is defined as the amount of energy units transferred between the fluids in the heat exchanger and is represented as NTU = -((1+C^2)^-0.5)*(ln(((2/ϵ)-1-C-((1+C^2)^-0.5)))/((2/ϵ)-1-C+((1+C^2)^-0.5))) or Number of Transfer Units = -((1+Heat capacity ratio^2)^-0.5)*(ln(((2/Effectiveness of Heat Exchanger)-1-Heat capacity ratio-((1+Heat capacity ratio^2)^-0.5)))/((2/Effectiveness of Heat Exchanger)-1-Heat capacity ratio+((1+Heat capacity ratio^2)^-0.5))). Heat capacity ratio is the ratio of cmin and cmax & The effectiveness of heat exchanger is defined as the ratio of the actual heat transfer to the maximum possible heat transfer.

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

The NTU relation of heat exchanger with one shell pass and 2, 4, 6 tube pass formula is defined as the amount of energy units transferred between the fluids in the heat exchanger is calculated using Number of Transfer Units = -((1+Heat capacity ratio^2)^-0.5)*(ln(((2/Effectiveness of Heat Exchanger)-1-Heat capacity ratio-((1+Heat capacity ratio^2)^-0.5)))/((2/Effectiveness of Heat Exchanger)-1-Heat capacity ratio+((1+Heat capacity ratio^2)^-0.5))). To calculate NTU relation of heat exchanger with one shell pass and 2, 4, 6 tube pass, you need Heat capacity ratio (C) & Effectiveness of Heat Exchanger (ϵ). With our tool, you need to enter the respective value for Heat capacity ratio & Effectiveness of Heat Exchanger 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 Number of Transfer Units?

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

Number of Transfer Units = (-ln(1-(1+Heat capacity ratio)*Effectiveness of Heat Exchanger))/(1+Heat capacity ratio)
Number of Transfer Units = (1/(Heat capacity ratio-1))*(ln((Effectiveness of Heat Exchanger-1)/(Heat capacity ratio*Effectiveness of Heat Exchanger-1)))
Number of Transfer Units = Effectiveness of Heat Exchanger/(1-Effectiveness of Heat Exchanger)

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