Mass flow rate of cold fluid Solution

STEP 0: Pre-Calculation Summary
Formula Used
Mass Flow Rate of Cold Fluid = (Effectiveness of Heat Exchanger*Minimum heat capacity/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) - The Mass Flow Rate of Cold Fluid is the quantity of cold fluid passing through a heat exchanger per unit time, crucial for efficient heat transfer processes.
Effectiveness of Heat Exchanger - The Effectiveness of Heat Exchanger is a measure of how well a heat exchanger transfers heat compared to the maximum possible heat transfer under ideal conditions.
Minimum heat capacity - (Measured in Joule per Kelvin) - The Minimum heat capacity is the lowest amount of heat required to change the temperature of a substance, crucial for understanding thermal performance in heat exchangers.
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.
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 thermal interaction with 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 the heat transfer efficiency and overall system performance.
Entry Temperature of Hot Fluid - (Measured in Kelvin) - The Entry Temperature of Hot Fluid is the initial temperature of the fluid entering the heat exchanger, influencing the heat transfer efficiency and overall performance of the system.
STEP 1: Convert Input(s) to Base Unit
Effectiveness of Heat Exchanger: 8 --> No Conversion Required
Minimum heat capacity: 4 Joule per Kelvin --> 4 Joule per Kelvin 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*4/2)*(1/((25-10)/(60-10)))
Evaluating ... ...
mc = 53.3333333333333
STEP 3: Convert Result to Output's Unit
53.3333333333333 Kilogram per Second --> No Conversion Required
FINAL ANSWER
53.3333333333333 53.33333 Kilogram per Second <-- Mass Flow Rate of Cold Fluid
(Calculation completed in 00.004 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*Minimum heat capacity/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*Minimum heat capacity/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*Minimum heat capacity/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*Minimum heat capacity/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, Mass flow rate of cold fluid formula is defined as the rate at which cold fluid moves through a system, reflecting the energy transfer and efficiency in heat exchangers. It plays a crucial role in optimizing thermal performance. 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), Minimum heat capacity (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 -> 53.33333 = (8*4/2)*(1/((25-10)/(60-10))).

FAQ

What is Mass flow rate of cold fluid?
Mass flow rate of cold fluid formula is defined as the rate at which cold fluid moves through a system, reflecting the energy transfer and efficiency in heat exchangers. It plays a crucial role in optimizing thermal performance and is represented as mc = (ϵ*Cmin/cc)*(1/((t2-t1)/(T1-t1))) or Mass Flow Rate of Cold Fluid = (Effectiveness of Heat Exchanger*Minimum heat capacity/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 a measure of how well a heat exchanger transfers heat compared to the maximum possible heat transfer under ideal conditions, The Minimum heat capacity is the lowest amount of heat required to change the temperature of a substance, crucial for understanding thermal performance in heat exchangers, 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 Exit Temperature of Cold Fluid is the temperature at which the cold fluid exits the heat exchanger, reflecting its thermal interaction with the hot fluid, The Entry Temperature of Cold Fluid is the initial temperature of the fluid entering a heat exchanger, influencing the heat transfer efficiency and overall system performance & The Entry Temperature of Hot Fluid is the initial temperature of the fluid entering the heat exchanger, influencing the heat transfer efficiency and overall performance of the system.
How to calculate Mass flow rate of cold fluid?
Mass flow rate of cold fluid formula is defined as the rate at which cold fluid moves through a system, reflecting the energy transfer and efficiency in heat exchangers. It plays a crucial role in optimizing thermal performance is calculated using Mass Flow Rate of Cold Fluid = (Effectiveness of Heat Exchanger*Minimum heat capacity/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), Minimum heat capacity (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, Minimum heat capacity, 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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