Effectiveness when mhch is minimum value Solution

STEP 0: Pre-Calculation Summary
Formula Used
Effectiveness of Heat Exchanger = (Mass Flow Rate of Hot Fluid*Specific Heat of Hot Fluid/Smaller Value)*((Entry Temperature of Hot Fluid-Exit Temperature of Cold Fluid)/(Entry Temperature of Hot Fluid-Entry Temperature of Cold Fluid))
ϵ = (mh*ch/Cmin)*((TH1-TC2)/(TH1-TC1))
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 Hot Fluid - (Measured in Kilogram per Second) - The Mass Flow Rate of Hot Fluid is the quantity of hot fluid passing through a system per unit time, crucial for analyzing heat transfer in heat exchangers.
Specific Heat of Hot Fluid - (Measured in Joule per Kilogram per K) - The Specific Heat of Hot Fluid is the amount of heat required to raise the temperature of a unit mass of the 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.
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.
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.
STEP 1: Convert Input(s) to Base Unit
Mass Flow Rate of Hot Fluid: 300 Kilogram per Second --> 300 Kilogram per Second No Conversion Required
Specific Heat of Hot Fluid: 0.13 Joule per Kilogram per K --> 0.13 Joule per Kilogram per K No Conversion Required
Smaller Value: 30 --> No Conversion Required
Entry Temperature of Hot Fluid: 60 Kelvin --> 60 Kelvin 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
STEP 2: Evaluate Formula
Substituting Input Values in Formula
ϵ = (mh*ch/Cmin)*((TH1-TC2)/(TH1-TC1)) --> (300*0.13/30)*((60-25)/(60-10))
Evaluating ... ...
ϵ = 0.91
STEP 3: Convert Result to Output's Unit
0.91 --> No Conversion Required
FINAL ANSWER
0.91 <-- Effectiveness of Heat Exchanger
(Calculation completed in 00.004 seconds)

Credits

Creator Image
Created by Nishan Poojary
Shri Madhwa Vadiraja Institute of Technology and Management (SMVITM), Udupi
Nishan Poojary has created this Calculator and 500+ more calculators!
Verifier Image
Verified by Anshika Arya
National Institute Of Technology (NIT), Hamirpur
Anshika Arya has verified this Calculator and 2500+ more calculators!

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 when mhch is minimum value Formula

​LaTeX ​Go
Effectiveness of Heat Exchanger = (Mass Flow Rate of Hot Fluid*Specific Heat of Hot Fluid/Smaller Value)*((Entry Temperature of Hot Fluid-Exit Temperature of Cold Fluid)/(Entry Temperature of Hot Fluid-Entry Temperature of Cold Fluid))
ϵ = (mh*ch/Cmin)*((TH1-TC2)/(TH1-TC1))

What is Effectiveness?

Effectiveness measures the efficiency of a heat exchanger in transferring the maximum possible heat between two fluids. It is defined as the ratio of the actual heat transfer to the maximum possible heat transfer under ideal conditions. Effectiveness helps assess the performance of heat exchangers, ensuring optimal design and operation for energy efficiency in applications like HVAC systems, power plants, and industrial processes.

How to Calculate Effectiveness when mhch is minimum value?

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

How to calculate Effectiveness when mhch is minimum value using this online calculator? To use this online calculator for Effectiveness when mhch is minimum value, enter Mass Flow Rate of Hot Fluid (mh), Specific Heat of Hot Fluid (ch), Smaller Value (Cmin), Entry Temperature of Hot Fluid (TH1), Exit Temperature of Cold Fluid (TC2) & Entry Temperature of Cold Fluid (TC1) and hit the calculate button. Here is how the Effectiveness when mhch is minimum value calculation can be explained with given input values -> 10.5 = (300*0.13/30)*((60-25)/(60-10)).

FAQ

What is Effectiveness when mhch is minimum value?
Effectiveness when mhch is minimum value formula is defined as a measure of the performance of a heat exchanger under conditions where the mass flow rate and heat capacity are at their lowest, indicating the efficiency of heat transfer and is represented as ϵ = (mh*ch/Cmin)*((TH1-TC2)/(TH1-TC1)) or Effectiveness of Heat Exchanger = (Mass Flow Rate of Hot Fluid*Specific Heat of Hot Fluid/Smaller Value)*((Entry Temperature of Hot Fluid-Exit Temperature of Cold Fluid)/(Entry Temperature of Hot Fluid-Entry Temperature of Cold Fluid)). The Mass Flow Rate of Hot Fluid is the quantity of hot fluid passing through a system per unit time, crucial for analyzing heat transfer in heat exchangers, The Specific Heat of Hot Fluid is the amount of heat required to raise the temperature of a unit mass of the 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 Entry Temperature of Hot Fluid is the initial temperature of the fluid entering a heat exchanger, influencing its heat transfer efficiency and overall performance, 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.
How to calculate Effectiveness when mhch is minimum value?
Effectiveness when mhch is minimum value formula is defined as a measure of the performance of a heat exchanger under conditions where the mass flow rate and heat capacity are at their lowest, indicating the efficiency of heat transfer is calculated using Effectiveness of Heat Exchanger = (Mass Flow Rate of Hot Fluid*Specific Heat of Hot Fluid/Smaller Value)*((Entry Temperature of Hot Fluid-Exit Temperature of Cold Fluid)/(Entry Temperature of Hot Fluid-Entry Temperature of Cold Fluid)). To calculate Effectiveness when mhch is minimum value, you need Mass Flow Rate of Hot Fluid (mh), Specific Heat of Hot Fluid (ch), Smaller Value (Cmin), Entry Temperature of Hot Fluid (TH1), Exit Temperature of Cold Fluid (TC2) & Entry Temperature of Cold Fluid (TC1). With our tool, you need to enter the respective value for Mass Flow Rate of Hot Fluid, Specific Heat of Hot Fluid, Smaller Value, Entry Temperature of Hot Fluid, Exit Temperature of Cold Fluid & Entry Temperature of Cold 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 Hot Fluid, Specific Heat of Hot Fluid, Smaller Value, Entry Temperature of Hot Fluid, Exit Temperature of Cold Fluid & Entry Temperature of Cold 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)))
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!