Effectiveness of heat exchanger when Cmax is mixed and Cmin is unmixed 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 when Cmax is mixed and Cmin is unmixed [ϵ]

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Effectiveness of heat exchanger when Cmax is mixed and Cmin is unmixed Solution

STEP 0: Pre-Calculation Summary

Formula Used

Effectiveness of Heat Exchanger = (1/Heat Capacity Ratio)*(1-exp(-1*Heat Capacity Ratio*(1-exp(-1*Number of Transfer Units))))
ϵ = (1/C)*(1-exp(-1*C*(1-exp(-1*NTU))))
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/C)*(1-exp(-1*C*(1-exp(-1*NTU)))) --> (1/0.5)*(1-exp(-1*0.5*(1-exp(-1*12))))

Evaluating ... ...

ϵ = 0.786934953915837

STEP 3: Convert Result to Output's Unit

0.786934953915837 --> No Conversion Required

FINAL ANSWER

0.786934953915837 ≈ 0.786935 <-- 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 when Cmax is mixed and Cmin is unmixed Formula

LaTeX Go

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

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 when Cmax is mixed and Cmin is unmixed?

Effectiveness of heat exchanger when Cmax is mixed and Cmin is unmixed calculator uses Effectiveness of Heat Exchanger = (1/Heat Capacity Ratio)*(1-exp(-1*Heat Capacity Ratio*(1-exp(-1*Number of Transfer Units)))) to calculate the Effectiveness of Heat Exchanger, Effectiveness of heat exchanger when Cmax is mixed and Cmin is unmixed formula is defined as a measure of the thermal performance of a heat exchanger, indicating how efficiently it transfers heat between two fluids under specific conditions. Effectiveness of Heat Exchanger is denoted by ϵ symbol.

How to calculate Effectiveness of heat exchanger when Cmax is mixed and Cmin is unmixed using this online calculator? To use this online calculator for Effectiveness of heat exchanger when Cmax is mixed and Cmin is unmixed, enter Heat Capacity Ratio (C) & Number of Transfer Units (NTU) and hit the calculate button. Here is how the Effectiveness of heat exchanger when Cmax is mixed and Cmin is unmixed calculation can be explained with given input values -> 0.786935 = (1/0.5)*(1-exp(-1*0.5*(1-exp(-1*12)))).

FAQ

What is Effectiveness of heat exchanger when Cmax is mixed and Cmin is unmixed?

Effectiveness of heat exchanger when Cmax is mixed and Cmin is unmixed formula is defined as a measure of the thermal performance of a heat exchanger, indicating how efficiently it transfers heat between two fluids under specific conditions and is represented as ϵ = (1/C)*(1-exp(-1*C*(1-exp(-1*NTU)))) or Effectiveness of Heat Exchanger = (1/Heat Capacity Ratio)*(1-exp(-1*Heat Capacity Ratio*(1-exp(-1*Number of Transfer Units)))). 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 when Cmax is mixed and Cmin is unmixed?

Effectiveness of heat exchanger when Cmax is mixed and Cmin is unmixed formula is defined as a measure of the thermal performance of a heat exchanger, indicating how efficiently it transfers heat between two fluids under specific conditions is calculated using Effectiveness of Heat Exchanger = (1/Heat Capacity Ratio)*(1-exp(-1*Heat Capacity Ratio*(1-exp(-1*Number of Transfer Units)))). To calculate Effectiveness of heat exchanger when Cmax is mixed and Cmin is unmixed, 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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