Effectiveness when mc-cc is minimum value Calculator

✖The Mass Flow Rate of Cold Fluid is the quantity of cold fluid passing through a system per unit time, crucial for analyzing heat exchanger performance.ⓘ Mass Flow Rate of Cold Fluid [mc]			+10% -10%
✖The Specific Heat of Cold Fluid is the amount of heat required to raise the temperature of a unit mass of the cold fluid by one degree Celsius.ⓘ Specific Heat of Cold Fluid [cc]			+10% -10%
✖The Smaller Value is the lesser of two effectiveness measures for heat exchangers, providing insight into the performance efficiency of the system.ⓘ Smaller Value [C_min]			+10% -10%
✖The Exit Temperature of Cold Fluid is the temperature at which the cold fluid exits the heat exchanger, reflecting its heat absorption from the hot fluid.ⓘ Exit Temperature of Cold Fluid [T_C2]			+10% -10%
✖The Entry Temperature of Cold Fluid is the initial temperature of the fluid entering a heat exchanger, influencing its thermal performance and overall effectiveness in heat transfer.ⓘ Entry Temperature of Cold Fluid [T_C1]			+10% -10%
✖The Entry Temperature of Hot Fluid is the initial temperature of the fluid entering a heat exchanger, influencing its heat transfer efficiency and overall performance.ⓘ Entry Temperature of Hot Fluid [T_H1]			+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 when mc-cc is minimum value [ϵ]

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Effectiveness when mc-cc is minimum value Solution

STEP 0: Pre-Calculation Summary

Formula Used

Effectiveness of Heat Exchanger = (Mass Flow Rate of Cold Fluid*Specific Heat of Cold Fluid/Smaller Value)*((Exit Temperature of Cold Fluid-Entry Temperature of Cold Fluid)/(Entry Temperature of Hot Fluid-Entry Temperature of Cold Fluid))
ϵ = (mc*cc/C_min)*((T_C2-T_C1)/(T_H1-T_C1))
This formula uses 7 Variables

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.
Mass Flow Rate of Cold Fluid - (Measured in Kilogram per Second) - The Mass Flow Rate of Cold Fluid is the quantity of cold fluid passing through a system per unit time, crucial for analyzing heat exchanger performance.
Specific Heat of Cold Fluid - (Measured in Joule per Kilogram per K) - The Specific Heat of Cold Fluid is the amount of heat required to raise the temperature of a unit mass of the cold fluid by one degree Celsius.
Smaller Value - The Smaller Value is the lesser of two effectiveness measures for heat exchangers, providing insight into the performance efficiency of the system.
Exit Temperature of Cold Fluid - (Measured in Kelvin) - The Exit Temperature of Cold Fluid is the temperature at which the cold fluid exits the heat exchanger, reflecting its heat absorption from the hot fluid.
Entry Temperature of Cold Fluid - (Measured in Kelvin) - The Entry Temperature of Cold Fluid is the initial temperature of the fluid entering a heat exchanger, influencing its thermal performance and overall effectiveness in heat transfer.
Entry Temperature of Hot Fluid - (Measured in Kelvin) - The Entry Temperature of Hot Fluid is the initial temperature of the fluid entering a heat exchanger, influencing its heat transfer efficiency and overall performance.

STEP 1: Convert Input(s) to Base Unit

Mass Flow Rate of Cold Fluid: 500 Kilogram per Second --> 500 Kilogram per Second No Conversion Required
Specific Heat of Cold Fluid: 0.18 Joule per Kilogram per K --> 0.18 Joule per Kilogram per K No Conversion Required
Smaller Value: 30 --> No Conversion Required
Exit Temperature of Cold Fluid: 25 Kelvin --> 25 Kelvin No Conversion Required
Entry Temperature of Cold Fluid: 10 Kelvin --> 10 Kelvin No Conversion Required
Entry Temperature of Hot Fluid: 60 Kelvin --> 60 Kelvin No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

ϵ = (mc*cc/C_min)*((T_C2-T_C1)/(T_H1-T_C1)) --> (500*0.18/30)*((25-10)/(60-10))

Evaluating ... ...

ϵ = 0.9

STEP 3: Convert Result to Output's Unit

0.9 --> No Conversion Required

FINAL ANSWER

0.9 <-- Effectiveness of Heat Exchanger

(Calculation completed in 00.020 seconds)

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Created by Nishan Poojary

Shri Madhwa Vadiraja Institute of Technology and Management (SMVITM), Udupi

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Effectiveness when mc-cc is minimum value 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 when mc-cc is minimum value?

Effectiveness when mc-cc is minimum value calculator uses Effectiveness of Heat Exchanger = (Mass Flow Rate of Cold Fluid*Specific Heat of Cold Fluid/Smaller Value)*((Exit Temperature of Cold Fluid-Entry Temperature of Cold Fluid)/(Entry Temperature of Hot Fluid-Entry Temperature of Cold Fluid)) to calculate the Effectiveness of Heat Exchanger, Effectiveness when mc-cc is minimum value formula is defined as a measure of the performance of a heat exchanger under conditions where the heat capacity rates are at their minimum, indicating the efficiency of heat transfer between fluids. Effectiveness of Heat Exchanger is denoted by ϵ symbol.

How to calculate Effectiveness when mc-cc is minimum value using this online calculator? To use this online calculator for Effectiveness when mc-cc is minimum value, enter Mass Flow Rate of Cold Fluid (mc), Specific Heat of Cold Fluid (cc), Smaller Value (C_min), Exit Temperature of Cold Fluid (T_C2), Entry Temperature of Cold Fluid (T_C1) & Entry Temperature of Hot Fluid (T_H1) and hit the calculate button. Here is how the Effectiveness when mc-cc is minimum value calculation can be explained with given input values -> 10 = (500*0.18/30)*((25-10)/(60-10)).

FAQ

What is Effectiveness when mc-cc is minimum value?

Effectiveness when mc-cc is minimum value formula is defined as a measure of the performance of a heat exchanger under conditions where the heat capacity rates are at their minimum, indicating the efficiency of heat transfer between fluids and is represented as ϵ = (mc*cc/C_min)*((T_C2-T_C1)/(T_H1-T_C1)) or Effectiveness of Heat Exchanger = (Mass Flow Rate of Cold Fluid*Specific Heat of Cold Fluid/Smaller Value)*((Exit Temperature of Cold Fluid-Entry Temperature of Cold Fluid)/(Entry Temperature of Hot Fluid-Entry Temperature of Cold Fluid)). The Mass Flow Rate of Cold Fluid is the quantity of cold fluid passing through a system per unit time, crucial for analyzing heat exchanger performance, The Specific Heat of Cold Fluid is the amount of heat required to raise the temperature of a unit mass of the cold fluid by one degree Celsius, The Smaller Value is the lesser of two effectiveness measures for heat exchangers, providing insight into the performance efficiency of the system, The Exit Temperature of Cold Fluid is the temperature at which the cold fluid exits the heat exchanger, reflecting its heat absorption from the hot fluid, The Entry Temperature of Cold Fluid is the initial temperature of the fluid entering a heat exchanger, influencing its thermal performance and overall effectiveness in heat transfer & The Entry Temperature of Hot Fluid is the initial temperature of the fluid entering a heat exchanger, influencing its heat transfer efficiency and overall performance.

How to calculate Effectiveness when mc-cc is minimum value?

Effectiveness when mc-cc is minimum value formula is defined as a measure of the performance of a heat exchanger under conditions where the heat capacity rates are at their minimum, indicating the efficiency of heat transfer between fluids is calculated using Effectiveness of Heat Exchanger = (Mass Flow Rate of Cold Fluid*Specific Heat of Cold Fluid/Smaller Value)*((Exit Temperature of Cold Fluid-Entry Temperature of Cold Fluid)/(Entry Temperature of Hot Fluid-Entry Temperature of Cold Fluid)). To calculate Effectiveness when mc-cc is minimum value, you need Mass Flow Rate of Cold Fluid (mc), Specific Heat of Cold Fluid (cc), Smaller Value (C_min), Exit Temperature of Cold Fluid (T_C2), Entry Temperature of Cold Fluid (T_C1) & Entry Temperature of Hot Fluid (T_H1). With our tool, you need to enter the respective value for Mass Flow Rate of Cold Fluid, Specific Heat of Cold Fluid, Smaller Value, Exit Temperature of Cold Fluid, Entry Temperature of Cold Fluid & Entry Temperature of Hot Fluid 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 Mass Flow Rate of Cold Fluid, Specific Heat of Cold Fluid, Smaller Value, Exit Temperature of Cold Fluid, Entry Temperature of Cold Fluid & Entry Temperature of Hot Fluid. 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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