Effectiveness of heat exchanger in cross flow when both fluids are mixed 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 mixed [ϵ]

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

STEP 0: Pre-Calculation Summary

Formula Used

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

Evaluating ... ...

ϵ = 0.70526076095893

STEP 3: Convert Result to Output's Unit

0.70526076095893 --> No Conversion Required

FINAL ANSWER

0.70526076095893 ≈ 0.705261 <-- 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

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LaTeX Go Effectiveness of Heat Exchanger = Heat Exchanged/(Smaller Value*(Entry Temperature of Hot Fluid-Entry Temperature of Cold Fluid))

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

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Effectiveness of heat exchanger in cross flow when both fluids are mixed Formula

LaTeX Go

What is Cross Flow?

Cross flow in heat exchangers occurs when two fluids flow perpendicular to each other, enhancing heat transfer in compact spaces. This configuration is often used in applications like radiators, air-cooled heat exchangers, and cooling towers, where one fluid is typically a gas. Cross flow provides moderate heat transfer efficiency and is ideal for situations where space constraints and specific flow arrangements are important.

How to Calculate Effectiveness of heat exchanger in cross flow when both fluids are mixed?

Effectiveness of heat exchanger in cross flow when both fluids are mixed calculator uses Effectiveness of Heat Exchanger = (1/((1/(1-exp(-1*Number of Transfer Units)))+(Heat Capacity Ratio/(1-exp(-1*Number of Transfer Units*Heat Capacity Ratio)))-(1/Number of Transfer Units))) to calculate the Effectiveness of Heat Exchanger, Effectiveness of heat exchanger in cross flow when both fluids are mixed formula is defined as a measure of the heat exchanger's ability to transfer heat between two fluids under specific flow conditions, indicating its performance efficiency. Effectiveness of Heat Exchanger is denoted by ϵ symbol.

How to calculate Effectiveness of heat exchanger in cross flow when both fluids are mixed using this online calculator? To use this online calculator for Effectiveness of heat exchanger in cross flow when both fluids are mixed, 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 mixed calculation can be explained with given input values -> 0.705261 = (1/((1/(1-exp(-1*12)))+(0.5/(1-exp(-1*12*0.5)))-(1/12))).

FAQ

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

Effectiveness of heat exchanger in cross flow when both fluids are mixed formula is defined as a measure of the heat exchanger's ability to transfer heat between two fluids under specific flow conditions, indicating its performance efficiency and is represented as ϵ = (1/((1/(1-exp(-1*NTU)))+(C/(1-exp(-1*NTU*C)))-(1/NTU))) or Effectiveness of Heat Exchanger = (1/((1/(1-exp(-1*Number of Transfer Units)))+(Heat Capacity Ratio/(1-exp(-1*Number of Transfer Units*Heat Capacity Ratio)))-(1/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 & 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 mixed?

Effectiveness of heat exchanger in cross flow when both fluids are mixed formula is defined as a measure of the heat exchanger's ability to transfer heat between two fluids under specific flow conditions, indicating its performance efficiency is calculated using Effectiveness of Heat Exchanger = (1/((1/(1-exp(-1*Number of Transfer Units)))+(Heat Capacity Ratio/(1-exp(-1*Number of Transfer Units*Heat Capacity Ratio)))-(1/Number of Transfer Units))). To calculate Effectiveness of heat exchanger in cross flow when both fluids are mixed, 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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