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/Cmin)*((t2-t1)/(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 Cold Fluid - (Measured in Kilogram per Second) - Mass Flow Rate of Cold Fluid is the mass of the cold fluid which passes per unit of time.
Specific heat of cold fluid - (Measured in Joule per Kilogram per K) - Specific heat of cold fluid is the amount of heat required to change the temperature of a mass unit of a cold 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.
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.
Entry Temperature of Hot Fluid - (Measured in Kelvin) - Entry temperature of hot fluid is the temperature of the hot fluid at entry.
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: 2 Joule per Kilogram per K --> 2 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/Cmin)*((t2-t1)/(T1-t1)) --> (500*2/30)*((25-10)/(60-10))
Evaluating ... ...
ϵ = 10
STEP 3: Convert Result to Output's Unit
10 --> No Conversion Required
FINAL ANSWER
10 <-- Effectiveness of Heat Exchanger
(Calculation completed in 00.004 seconds)

Credits

Created by Nishan Poojary
Shri Madhwa Vadiraja Institute of Technology and Management (SMVITM), Udupi
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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 mc-cc is minimum value Formula

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/Cmin)*((t2-t1)/(T1-t1))

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, The Effectiveness when mc-cc is minimum value formula is defined as the ratio of the actual heat transfer to the maximum possible heat transfer. 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 (Cmin), Exit Temperature of Cold Fluid (t2), Entry Temperature of Cold Fluid (t1) & Entry Temperature of Hot Fluid (T1) 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*2/30)*((25-10)/(60-10)).

FAQ

What is Effectiveness when mc-cc is minimum value?
The Effectiveness when mc-cc is minimum value formula is defined as the ratio of the actual heat transfer to the maximum possible heat transfer and is represented as ϵ = (mc*cc/Cmin)*((t2-t1)/(T1-t1)) 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)). Mass Flow Rate of Cold Fluid is the mass of the cold fluid which passes per unit of time, Specific heat of cold fluid is the amount of heat required to change the temperature of a mass unit of a cold 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, 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 & Entry temperature of hot fluid is the temperature of the hot fluid at entry.
How to calculate Effectiveness when mc-cc is minimum value?
The Effectiveness when mc-cc is minimum value formula is defined as the ratio of the actual heat transfer to the maximum possible heat transfer 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 (Cmin), Exit Temperature of Cold Fluid (t2), Entry Temperature of Cold Fluid (t1) & Entry Temperature of Hot Fluid (T1). 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 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 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 = 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)))))))
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