Effectiveness of heat exchanger in cross flow when both fluids are unmixed 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 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 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((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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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 Effectiveness in Heat Exchanger?

Effectiveness in a heat exchanger is the ratio of the actual heat transfer to the maximum possible heat transfer between the two fluids. It indicates how efficiently the heat exchanger performs compared to its theoretical potential. A higher effectiveness means better thermal performance, which is critical in optimizing energy usage in applications like cooling, heating, and industrial processes.

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, Effectiveness of heat exchanger in cross flow when both fluids are unmixed formula is defined as a measure of the thermal performance of a heat exchanger, indicating how efficiently it transfers heat between two fluids without mixing them. 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?

Effectiveness of heat exchanger in cross flow when both fluids are unmixed formula is defined as a measure of the thermal performance of a heat exchanger, indicating how efficiently it transfers heat between two fluids without mixing them 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 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 heat exchanger in cross flow when both fluids are unmixed?

Effectiveness of heat exchanger in cross flow when both fluids are unmixed formula is defined as a measure of the thermal performance of a heat exchanger, indicating how efficiently it transfers heat between two fluids without mixing them 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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