Mass flow rate of cold fluid Solution

STEP 0: Pre-Calculation Summary
Formula Used
Mass Flow Rate of Cold Fluid = (Effectiveness of Heat Exchanger*Smaller Value/Specific heat of cold fluid)*(1/((Exit Temperature of Cold Fluid-Entry Temperature of Cold Fluid)/(Entry Temperature of Hot Fluid-Entry Temperature of Cold Fluid)))
mc = (ϵ*Cmin/cc)*(1/((t2-t1)/(T1-t1)))
This formula uses 7 Variables
Variables Used
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.
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.
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.
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.
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
Effectiveness of Heat Exchanger: 8 --> No Conversion Required
Smaller Value: 30 --> No Conversion Required
Specific heat of cold fluid: 2 Joule per Kilogram per K --> 2 Joule per Kilogram per K 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
mc = (ϵ*Cmin/cc)*(1/((t2-t1)/(T1-t1))) --> (8*30/2)*(1/((25-10)/(60-10)))
Evaluating ... ...
mc = 400
STEP 3: Convert Result to Output's Unit
400 Kilogram per Second --> No Conversion Required
FINAL ANSWER
400 Kilogram per Second <-- Mass Flow Rate of Cold Fluid
(Calculation completed in 00.020 seconds)

Credits

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Created by Nishan Poojary
Shri Madhwa Vadiraja Institute of Technology and Management (SMVITM), Udupi
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Verified by Sagar S Kulkarni
Dayananda Sagar College of Engineering (DSCE), Bengaluru
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Physical Parameters of Heat Exchanger Calculators

Mass flow rate of cold fluid
​ LaTeX ​ Go Mass Flow Rate of Cold Fluid = (Effectiveness of Heat Exchanger*Smaller Value/Specific heat of cold fluid)*(1/((Exit Temperature of Cold Fluid-Entry Temperature of Cold Fluid)/(Entry Temperature of Hot Fluid-Entry Temperature of Cold Fluid)))
Mass flow rate of hot fluid
​ LaTeX ​ Go Mass Flow Rate of Hot Fluid = (Effectiveness of Heat Exchanger*Smaller Value/Specific heat of hot fluid)*(1/((Entry Temperature of Hot Fluid-Exit Temperature of Cold Fluid)/(Entry Temperature of Hot Fluid-Entry Temperature of Cold Fluid)))
Correction factor in heat exchanger
​ LaTeX ​ Go Correction Factor = Heat exchanged/(Overall Heat Transfer Coefficient*Area*Logarithmic Mean Temperature Difference)
Area of heat exchanger
​ LaTeX ​ Go Area = Heat exchanged/(Overall Heat Transfer Coefficient*Logarithmic Mean Temperature Difference*Correction Factor)

Mass flow rate of cold fluid Formula

​LaTeX ​Go
Mass Flow Rate of Cold Fluid = (Effectiveness of Heat Exchanger*Smaller Value/Specific heat of cold fluid)*(1/((Exit Temperature of Cold Fluid-Entry Temperature of Cold Fluid)/(Entry Temperature of Hot Fluid-Entry Temperature of Cold Fluid)))
mc = (ϵ*Cmin/cc)*(1/((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 Mass flow rate of cold fluid?

Mass flow rate of cold fluid calculator uses Mass Flow Rate of Cold Fluid = (Effectiveness of Heat Exchanger*Smaller Value/Specific heat of cold fluid)*(1/((Exit Temperature of Cold Fluid-Entry Temperature of Cold Fluid)/(Entry Temperature of Hot Fluid-Entry Temperature of Cold Fluid))) to calculate the Mass Flow Rate of Cold Fluid, The Mass flow rate of cold fluid formula is defined as the amount of cold fluid flowing per unit second in a heat exchanger. Mass Flow Rate of Cold Fluid is denoted by mc symbol.

How to calculate Mass flow rate of cold fluid using this online calculator? To use this online calculator for Mass flow rate of cold fluid, enter Effectiveness of Heat Exchanger (ϵ), Smaller Value (Cmin), Specific heat of cold fluid (cc), 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 Mass flow rate of cold fluid calculation can be explained with given input values -> 400 = (8*30/2)*(1/((25-10)/(60-10))).

FAQ

What is Mass flow rate of cold fluid?
The Mass flow rate of cold fluid formula is defined as the amount of cold fluid flowing per unit second in a heat exchanger and is represented as mc = (ϵ*Cmin/cc)*(1/((t2-t1)/(T1-t1))) or Mass Flow Rate of Cold Fluid = (Effectiveness of Heat Exchanger*Smaller Value/Specific heat of cold fluid)*(1/((Exit Temperature of Cold Fluid-Entry Temperature of Cold Fluid)/(Entry Temperature of Hot Fluid-Entry Temperature of Cold Fluid))). The effectiveness of heat exchanger is defined as the ratio of the actual heat transfer to the maximum possible heat transfer, Smaller value of mass flowrate of hot fluid * specific heat of hot fluid and mass flowrate of cold fluid * specific heat of cold fluid, 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, 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 Mass flow rate of cold fluid?
The Mass flow rate of cold fluid formula is defined as the amount of cold fluid flowing per unit second in a heat exchanger is calculated using Mass Flow Rate of Cold Fluid = (Effectiveness of Heat Exchanger*Smaller Value/Specific heat of cold fluid)*(1/((Exit Temperature of Cold Fluid-Entry Temperature of Cold Fluid)/(Entry Temperature of Hot Fluid-Entry Temperature of Cold Fluid))). To calculate Mass flow rate of cold fluid, you need Effectiveness of Heat Exchanger (ϵ), Smaller Value (Cmin), Specific heat of cold fluid (cc), 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 Effectiveness of Heat Exchanger, Smaller Value, Specific heat of cold fluid, 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.
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