Effectiveness of heat exchanger in cross flow when both fluids are unmixed Calculator

✖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%
✖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 in cross flow when both fluids are unmixed [ϵ]

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Effectiveness of heat exchanger in cross flow when both fluids are unmixed Solution

STEP 0: Pre-Calculation Summary

Formula Used

Effectiveness of Heat Exchanger = 1-exp((exp(-1*Number of Transfer Units*Heat capacity ratio*(Number of Transfer Units^-0.22))-1)/Heat capacity ratio*(Number of Transfer Units^-0.22))
ϵ = 1-exp((exp(-1*NTU*C*(NTU^-0.22))-1)/C*(NTU^-0.22))
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.
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.

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((exp(-1*NTU*C*(NTU^-0.22))-1)/C*(NTU^-0.22)) --> 1-exp((exp(-1*12*0.5*(12^-0.22))-1)/0.5*(12^-0.22))

Evaluating ... ...

ϵ = 0.674316019393326

STEP 3: Convert Result to Output's Unit

0.674316019393326 --> No Conversion Required

FINAL ANSWER

0.674316019393326 ≈ 0.674316 <-- 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 in cross flow when both fluids are unmixed 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 in cross flow when both fluids are unmixed?

Effectiveness of heat exchanger in cross flow when both fluids are unmixed calculator uses Effectiveness of Heat Exchanger = 1-exp((exp(-1*Number of Transfer Units*Heat capacity ratio*(Number of Transfer Units^-0.22))-1)/Heat capacity ratio*(Number of Transfer Units^-0.22)) to calculate the Effectiveness of Heat Exchanger, The Effectiveness of heat exchanger in cross flow when both fluids are unmixed formula is defined as the ratio of the actual heat transfer to the maximum possible heat transfer in cross flow with fluids unmixed. Effectiveness of Heat Exchanger is denoted by ϵ symbol.

How to calculate Effectiveness of heat exchanger in cross flow when both fluids are unmixed using this online calculator? To use this online calculator for Effectiveness of heat exchanger in cross flow when both fluids are unmixed, enter Number of Transfer Units (NTU) & Heat capacity ratio (C) and hit the calculate button. Here is how the Effectiveness of heat exchanger in cross flow when both fluids are unmixed calculation can be explained with given input values -> 0.674316 = 1-exp((exp(-1*12*0.5*(12^-0.22))-1)/0.5*(12^-0.22)).

FAQ

What is Effectiveness of heat exchanger in cross flow when both fluids are unmixed?

The Effectiveness of heat exchanger in cross flow when both fluids are unmixed formula is defined as the ratio of the actual heat transfer to the maximum possible heat transfer in cross flow with fluids unmixed and is represented as ϵ = 1-exp((exp(-1*NTU*C*(NTU^-0.22))-1)/C*(NTU^-0.22)) or Effectiveness of Heat Exchanger = 1-exp((exp(-1*Number of Transfer Units*Heat capacity ratio*(Number of Transfer Units^-0.22))-1)/Heat capacity ratio*(Number of Transfer Units^-0.22)). 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 is the ratio of cmin and cmax.

How to calculate Effectiveness of heat exchanger in cross flow when both fluids are unmixed?

The Effectiveness of heat exchanger in cross flow when both fluids are unmixed formula is defined as the ratio of the actual heat transfer to the maximum possible heat transfer in cross flow with fluids unmixed is calculated using Effectiveness of Heat Exchanger = 1-exp((exp(-1*Number of Transfer Units*Heat capacity ratio*(Number of Transfer Units^-0.22))-1)/Heat capacity ratio*(Number of Transfer Units^-0.22)). To calculate Effectiveness of heat exchanger in cross flow when both fluids are unmixed, 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 = (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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