Effectiveness when mhch is minimum value Calculator

↳

⤿

Heat exchanger

Basics of HMT

Conduction

Convection

Convective Mass Transfer

⤿

Transverse Fin Heat Exchanger

✖Mass Flow Rate of Hot Fluid is the mass of the hot fluid which passes per unit of time.ⓘ Mass Flow Rate of Hot Fluid [mh]			+10% -10%
✖Specific heat of hot fluid is the amount of heat required to change the temperature of a mass unit of a hot fluid by one degree.ⓘ Specific heat of hot fluid [ch]			+10% -10%
✖Smaller value of mass flowrate of hot fluid * specific heat of hot fluid and mass flowrate of cold fluid * specific heat of cold fluid.ⓘ Smaller Value [C_min]			+10% -10%
✖Entry temperature of hot fluid is the temperature of the hot fluid at entry.ⓘ Entry Temperature of Hot Fluid [T1]			+10% -10%
✖Exit temperature of cold fluid is the temperature of the cold fluid at exit.ⓘ Exit Temperature of Cold Fluid [t2]			+10% -10%
✖Entry temperature of cold fluid is the temperature of the cold fluid at entry.ⓘ Entry Temperature of Cold Fluid [t1]			+10% -10%

✖The effectiveness of heat exchanger is defined as the ratio of the actual heat transfer to the maximum possible heat transfer.ⓘ Effectiveness when mhch is minimum value [ϵ]

⎘ Copy

👎

Formula

✖

Effectiveness when mhch is minimum value

Formula

`"ϵ" = ("mh"*"ch"/"C"_{"min"})*(("T1"-"t2")/("T1"-"t1"))`

Example

`"9.975"=("285kg/s"*"1.5J/(kg*K)"/"30")*(("60K"-"25K")/("60K"-"10K"))`

Calculator

LaTeX

Reset

👍

Download Heat and Mass Transfer Formula PDF

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/C_min)*((T1-t2)/(T1-t1))
This formula uses 7 Variables

Variables Used

Effectiveness of Heat Exchanger - The effectiveness of heat exchanger is defined as the ratio of the actual heat transfer to the maximum possible heat transfer.
Mass Flow Rate of Hot Fluid - (Measured in Kilogram per Second) - Mass Flow Rate of Hot Fluid is the mass of the hot fluid which passes per unit of time.
Specific heat of hot fluid - (Measured in Joule per Kilogram per K) - Specific heat of hot fluid is the amount of heat required to change the temperature of a mass unit of a hot fluid by one degree.
Smaller Value - Smaller value of mass flowrate of hot fluid * specific heat of hot fluid and mass flowrate of cold fluid * specific heat of cold fluid.
Entry Temperature of Hot Fluid - (Measured in Kelvin) - Entry temperature of hot fluid is the temperature of the hot fluid at entry.
Exit Temperature of Cold Fluid - (Measured in Kelvin) - Exit temperature of cold fluid is the temperature of the cold fluid at exit.
Entry Temperature of Cold Fluid - (Measured in Kelvin) - Entry temperature of cold fluid is the temperature of the cold fluid at entry.

STEP 1: Convert Input(s) to Base Unit

Mass Flow Rate of Hot Fluid: 285 Kilogram per Second --> 285 Kilogram per Second No Conversion Required
Specific heat of hot fluid: 1.5 Joule per Kilogram per K --> 1.5 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/C_min)*((T1-t2)/(T1-t1)) --> (285*1.5/30)*((60-25)/(60-10))

Evaluating ... ...

ϵ = 9.975

STEP 3: Convert Result to Output's Unit

9.975 --> No Conversion Required

FINAL ANSWER

9.975 <-- Effectiveness of Heat Exchanger

(Calculation completed in 00.004 seconds)

You are here -

Home » Physics » Heat and Mass Transfer » Heat exchanger » Effectiveness » Effectiveness when mhch is minimum value

Credits

Created by Nishan Poojary

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

Nishan Poojary has created this Calculator and 500+ more calculators!

Verified by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

Anshika Arya has verified this Calculator and 2500+ more calculators!

< 12 Effectiveness Calculators

Effectiveness of heat exchanger with one shell pass and 2, 4, 6 tube pass

Go Effectiveness of Heat Exchanger = 1/(2*(1+Heat capacity ratio+((1+(Heat capacity ratio^2))^0.5)*((1+exp(-Number of Transfer Units*((1+(Heat capacity ratio^2))^0.5))/(1-exp(-Number of Transfer Units*((1+(Heat capacity ratio^2))^0.5)))))))

Effectiveness when mc-cc is minimum value

Go 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))

Effectiveness when mhch is minimum value

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))

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

Go 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)))

Effectiveness of heat exchanger in cross flow when both fluids are unmixed

Go 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))

Effectiveness of double pipe counter flow heat exchanger

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 of heat exchanger when Cmax is mixed and Cmin is unmixed

Go Effectiveness of Heat Exchanger = (1/Heat capacity ratio)*(1-exp(-1*Heat capacity ratio*(1-exp(-1*Number of Transfer Units))))

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

Go Effectiveness of Heat Exchanger = 1-exp(-(1/Heat capacity ratio)*(1-exp(-1*Number of Transfer Units*Heat capacity ratio)))

Effectiveness NTU method

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

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

Go Effectiveness of Heat Exchanger = Number of Transfer Units/(1+Number of Transfer Units)

Effectiveness of heat exchanger given all exchanger with C equal to 0

Go Effectiveness of Heat Exchanger = 1-exp(-Number of Transfer Units)

Effectiveness when mhch is minimum value Formula

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 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, The Effectiveness when mhch is minimum value formula is defined as as the ratio of the actual heat transfer to the maximum possible heat transfer when the mhch value is minimum. 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 (C_min), Entry Temperature of Hot Fluid (T1), Exit Temperature of Cold Fluid (t2) & Entry Temperature of Cold Fluid (t1) and hit the calculate button. Here is how the Effectiveness when mhch is minimum value calculation can be explained with given input values -> 9.975 = (285*1.5/30)*((60-25)/(60-10)).

FAQ

What is Effectiveness when mhch is minimum value?

The Effectiveness when mhch is minimum value formula is defined as as the ratio of the actual heat transfer to the maximum possible heat transfer when the mhch value is minimum and is represented as ϵ = (mh*ch/C_min)*((T1-t2)/(T1-t1)) 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)). Mass Flow Rate of Hot Fluid is the mass of the hot fluid which passes per unit of time, Specific heat of hot fluid is the amount of heat required to change the temperature of a mass unit of a hot fluid by one degree, Smaller value of mass flowrate of hot fluid * specific heat of hot fluid and mass flowrate of cold fluid * specific heat of cold fluid, Entry temperature of hot fluid is the temperature of the hot fluid at entry, Exit temperature of cold fluid is the temperature of the cold fluid at exit & Entry temperature of cold fluid is the temperature of the cold fluid at entry.

How to calculate Effectiveness when mhch is minimum value?

The Effectiveness when mhch is minimum value formula is defined as as the ratio of the actual heat transfer to the maximum possible heat transfer when the mhch value is minimum 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 (C_min), Entry Temperature of Hot Fluid (T1), Exit Temperature of Cold Fluid (t2) & Entry Temperature of Cold Fluid (t1). 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 11 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)))
Effectiveness of Heat Exchanger = Number of Transfer Units/(1+Number of Transfer Units)
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))
Effectiveness of Heat Exchanger = 1-exp(-Number of Transfer Units)
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)))
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))
Effectiveness of Heat Exchanger = (1/Heat capacity ratio)*(1-exp(-1*Heat capacity ratio*(1-exp(-1*Number of Transfer Units))))
Effectiveness of Heat Exchanger = 1-exp(-(1/Heat capacity ratio)*(1-exp(-1*Number of Transfer Units*Heat capacity ratio)))
Effectiveness of Heat Exchanger = 1/(2*(1+Heat capacity ratio+((1+(Heat capacity ratio^2))^0.5)*((1+exp(-Number of Transfer Units*((1+(Heat capacity ratio^2))^0.5))/(1-exp(-Number of Transfer Units*((1+(Heat capacity ratio^2))^0.5)))))))

Home

FREE PDFs

🔍 Search