Specific heat of cold fluid Solution

STEP 0: Pre-Calculation Summary
Formula Used
Specific heat of cold fluid = (Effectiveness of Heat Exchanger*Smaller Value/Mass Flow Rate of Cold Fluid)*(1/((Exit Temperature of Cold Fluid-Entry Temperature of Cold Fluid)/(Entry Temperature of Hot Fluid-Entry Temperature of Cold Fluid)))
cc = (ϵ*Cmin/mc)*(1/((t2-t1)/(T1-t1)))
This formula uses 7 Variables
Variables Used
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.
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.
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.
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
Mass Flow Rate of Cold Fluid: 500 Kilogram per Second --> 500 Kilogram per Second 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
cc = (ϵ*Cmin/mc)*(1/((t2-t1)/(T1-t1))) --> (8*30/500)*(1/((25-10)/(60-10)))
Evaluating ... ...
cc = 1.6
STEP 3: Convert Result to Output's Unit
1.6 Joule per Kilogram per K --> No Conversion Required
FINAL ANSWER
1.6 Joule per Kilogram per K <-- Specific heat of cold fluid
(Calculation completed in 00.020 seconds)

Credits

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Shri Madhwa Vadiraja Institute of Technology and Management (SMVITM), Udupi
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Dayananda Sagar College of Engineering (DSCE), Bengaluru
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25 Heat exchanger Calculators

Logarithmic mean temperature difference for single pass counter flow
​ Go Logarithmic Mean Temperature Difference = ((Entry Temperature of Hot Fluid-Exit Temperature of Cold Fluid)-(Entry Temperature of Cold Fluid-Exit Temperature of Hot Fluid))/ln((Entry Temperature of Hot Fluid-Exit Temperature of Cold Fluid)/(Entry Temperature of Cold Fluid-Exit Temperature of Hot Fluid))
Mass flow rate of cold fluid
​ 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)))
Specific heat of cold fluid
​ Go Specific heat of cold fluid = (Effectiveness of Heat Exchanger*Smaller Value/Mass Flow Rate 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
​ 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)))
Specific heat of hot water
​ Go Specific heat of hot fluid = (Effectiveness of Heat Exchanger*Smaller Value/Mass Flow Rate of Hot Fluid)*(1/((Entry Temperature of Hot Fluid-Exit Temperature of Cold Fluid)/(Entry Temperature of Hot Fluid-Entry Temperature of Cold Fluid)))
Heat transfer surface area for unit length of matrix in storage type heat exchanger
​ Go Surface Area = (Location factor*Specific heat of fluid*Mass Flowrate)/(Convective Heat Transfer Coefficient*Distance from Point to YY Axis)
Convective heat transfer coefficient of storage type heat exchanger
​ Go Convective Heat Transfer Coefficient = (Location factor*Specific heat of fluid*Mass Flowrate)/(Surface Area*Distance from Point to YY Axis)
Specific heat of fluid in storage type heat exchanger
​ Go Specific heat of fluid = (Convective Heat Transfer Coefficient*Surface Area*Distance from Point to YY Axis)/(Location factor*Mass Flowrate)
Mass Flowrate of Fluid in Storage type Heat Exchanger
​ Go Mass Flowrate = (Convective Heat Transfer Coefficient*Surface Area*Distance from Point to YY Axis)/(Specific heat of fluid*Location factor)
Location factor at distance X of heat exchanger
​ Go Location factor = (Convective Heat Transfer Coefficient*Surface Area*Distance from Point to YY Axis)/(Specific heat of fluid*Mass Flowrate)
Convective heat transfer coefficient of storage type heat exchanger given time factor
​ Go Convective Heat Transfer Coefficient = (Time Factor*Specific heat of matrix material*Mass of Solid)/(Surface Area*Total Time Taken)
Heat transfer surface area for unit length given time factor
​ Go Surface Area = (Time Factor*Specific heat of matrix material*Mass of Solid)/(Convective Heat Transfer Coefficient*Total Time Taken)
Time factor of storage type heat exchanger
​ Go Time Factor = (Convective Heat Transfer Coefficient*Surface Area*Total Time Taken)/(Specific heat of matrix material*Mass of Solid)
Time taken for storage type heat exchanger
​ Go Total Time Taken = (Time Factor*Specific heat of matrix material*Mass of Solid)/(Surface Area*Convective Heat Transfer Coefficient)
Mass of solid per unit length of matrix
​ Go Mass of Solid = (Convective Heat Transfer Coefficient*Surface Area*Total Time Taken)/(Time Factor*Specific heat of matrix material)
Specific heat of matrix material
​ Go Specific heat of matrix material = (Convective Heat Transfer Coefficient*Surface Area*Total Time Taken)/(Time Factor*Mass of Solid)
Entry temperature of cold fluid
​ Go Entry Temperature of Cold Fluid = Entry Temperature of Hot Fluid-(Heat exchanged/(Effectiveness of Heat Exchanger*Smaller Value))
Entry temperature of hot fluid
​ Go Entry Temperature of Hot Fluid = (Heat exchanged/(Effectiveness of Heat Exchanger*Smaller Value))+Entry Temperature of Cold Fluid
Heat exchanged NTU method
​ Go Heat exchanged = Effectiveness of Heat Exchanger*Smaller Value*(Entry Temperature of Hot Fluid-Entry Temperature of Cold Fluid)
Overall heat transfer coefficient given LMTD
​ Go Overall Heat Transfer Coefficient = Heat exchanged/(Correction Factor*Area*Logarithmic Mean Temperature Difference)
Logarithmic mean temperature difference
​ Go Logarithmic Mean Temperature Difference = Heat exchanged/(Correction Factor*Overall Heat Transfer Coefficient*Area)
Correction factor in heat exchanger
​ Go Correction Factor = Heat exchanged/(Overall Heat Transfer Coefficient*Area*Logarithmic Mean Temperature Difference)
Area of heat exchanger
​ Go Area = Heat exchanged/(Overall Heat Transfer Coefficient*Logarithmic Mean Temperature Difference*Correction Factor)
Heat exchanged
​ Go Heat exchanged = Correction Factor*Overall Heat Transfer Coefficient*Area*Logarithmic Mean Temperature Difference
Capacity Ratio
​ Go Heat capacity ratio = Minimum heat capacity/Maximum heat capacity

Specific heat of cold fluid Formula

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

Specific heat of cold fluid calculator uses Specific heat of cold fluid = (Effectiveness of Heat Exchanger*Smaller Value/Mass Flow Rate 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 Specific heat of cold fluid, The Specific heat of cold fluid formula is defined as the amount of heat required to increase the temperature of the cold fluid by one degree. Specific heat of cold fluid is denoted by cc symbol.

How to calculate Specific heat of cold fluid using this online calculator? To use this online calculator for Specific heat of cold fluid, enter Effectiveness of Heat Exchanger (ϵ), Smaller Value (Cmin), Mass Flow Rate of Cold Fluid (mc), 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 Specific heat of cold fluid calculation can be explained with given input values -> 1.6 = (8*30/500)*(1/((25-10)/(60-10))).

FAQ

What is Specific heat of cold fluid?
The Specific heat of cold fluid formula is defined as the amount of heat required to increase the temperature of the cold fluid by one degree and is represented as cc = (ϵ*Cmin/mc)*(1/((t2-t1)/(T1-t1))) or Specific heat of cold fluid = (Effectiveness of Heat Exchanger*Smaller Value/Mass Flow Rate 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, Mass Flow Rate of Cold Fluid is the mass of the cold fluid which passes per unit of time, 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 Specific heat of cold fluid?
The Specific heat of cold fluid formula is defined as the amount of heat required to increase the temperature of the cold fluid by one degree is calculated using Specific heat of cold fluid = (Effectiveness of Heat Exchanger*Smaller Value/Mass Flow Rate 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 Specific heat of cold fluid, you need Effectiveness of Heat Exchanger (ϵ), Smaller Value (Cmin), Mass Flow Rate of Cold Fluid (mc), 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, Mass Flow Rate 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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