Maximum Possible Rate of Heat Transfer Calculator

✖Minimum Capacity Rate is defined as the minimum quantity of heat required to raise the temperature of an object by 1 degree celcius or by 1 Kelvin per unit time.ⓘ Minimum Capacity Rate [C_min]			+10% -10%
✖Inlet Temperature of Hot Fluid is the temperature at which the hot fluid enters the heat exchanger.ⓘ Inlet Temperature of Hot Fluid [T_hi]			+10% -10%
✖Inlet Temperature of Cold Fluid is the temperature at which the cold fluid enters the heat exchanger.ⓘ Inlet Temperature of Cold Fluid [T_ci]			+10% -10%

✖Maximum Possible Rate of Heat Transfer is defined as the maximum amount of heat that is transferred per unit of time in some material.ⓘ Maximum Possible Rate of Heat Transfer [Q_Max]

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Formula

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Maximum Possible Rate of Heat Transfer

Formula

`"Q"_{"Max"} = "C"_{"min"}*("T"_{"hi"}-"T"_{"ci"})`

Example

`"60000J/s"="1000W/K"*("343K"-"283K")`

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Maximum Possible Rate of Heat Transfer Solution

STEP 0: Pre-Calculation Summary

Formula Used

Maximum Possible Rate of Heat Transfer = Minimum Capacity Rate*(Inlet Temperature of Hot Fluid-Inlet Temperature of Cold Fluid)
Q_Max = C_min*(T_hi-T_ci)
This formula uses 4 Variables

Variables Used

Maximum Possible Rate of Heat Transfer - (Measured in Joule per Second) - Maximum Possible Rate of Heat Transfer is defined as the maximum amount of heat that is transferred per unit of time in some material.
Minimum Capacity Rate - (Measured in Watt per Kelvin) - Minimum Capacity Rate is defined as the minimum quantity of heat required to raise the temperature of an object by 1 degree celcius or by 1 Kelvin per unit time.
Inlet Temperature of Hot Fluid - (Measured in Kelvin) - Inlet Temperature of Hot Fluid is the temperature at which the hot fluid enters the heat exchanger.
Inlet Temperature of Cold Fluid - (Measured in Kelvin) - Inlet Temperature of Cold Fluid is the temperature at which the cold fluid enters the heat exchanger.

STEP 1: Convert Input(s) to Base Unit

Minimum Capacity Rate: 1000 Watt per Kelvin --> 1000 Watt per Kelvin No Conversion Required
Inlet Temperature of Hot Fluid: 343 Kelvin --> 343 Kelvin No Conversion Required
Inlet Temperature of Cold Fluid: 283 Kelvin --> 283 Kelvin No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Q_Max = C_min*(T_hi-T_ci) --> 1000*(343-283)

Evaluating ... ...

Q_Max = 60000

STEP 3: Convert Result to Output's Unit

60000 Joule per Second --> No Conversion Required

FINAL ANSWER

60000 Joule per Second <-- Maximum Possible Rate of Heat Transfer

(Calculation completed in 00.004 seconds)

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Created by Ayush gupta

University School of Chemical Technology-USCT (GGSIPU), New Delhi

Ayush gupta has created this Calculator and 300+ more calculators!

Verified by Soupayan banerjee

National University of Judicial Science (NUJS), Kolkata

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< 10+ Heat Exchanger Calculators

Overall Heat Transfer Coefficient for Unfinned Tube

Go Overall Heat Transfer Coefficient after Fouling = 1/((1/External Convection Heat Transfer Coefficient)+Fouling Factor on Outside of Tube+(((Outside Tube Diameter*(ln(Outside Tube Diameter/Inside Tube Diameter))))/(2*Thermal Conductivity))+((Fouling Factor on Inside of Tube*Outside Tube Surface Area)/Inside Tube Surface Area)+(Outside Tube Surface Area/(Inside Convection Heat Transfer Coefficient*Inside Tube Surface Area)))

Total Heat Transfer Coefficient for Long Cylinder

Go Heat Transfer Coefficient = ((0.023*(Mass Velocity^0.8)*(Thermal Conductivity^0.67)*(Specific Heat Capacity^0.33))/((Diameter of Tube^0.2)*(Viscosity of Fluid^0.47)))

Heat Transfer in Heat Exchanger given Cold Fluid Properties

Go Heat = modulus(Mass of Cold Fluid*Specific Heat Capacity of Cold Fluid*(Inlet Temperature of Cold Fluid-Outlet Temperature of Cold Fluid))

Heat Transfer in Heat Exchanger given Hot Fluid Properties

Go Heat = Mass of Hot Fluid*Specific Heat Capacity of Hot Fluid*(Inlet Temperature of Hot Fluid-Outlet Temperature of Hot Fluid)

Rate of Heat Transfer using Correction Factor and LMTD

Go Heat Transfer = Overall Heat Transfer Coefficient*Area of Heat Exchanger*Correction Factor*Log Mean Temperature Difference

Maximum Possible Rate of Heat Transfer

Go Maximum Possible Rate of Heat Transfer = Minimum Capacity Rate*(Inlet Temperature of Hot Fluid-Inlet Temperature of Cold Fluid)

Number of Heat Transfer Units

Go Number of Heat Transfer Units = (Overall Heat Transfer Coefficient*Area of Heat Exchanger)/Minimum Capacity Rate

Heat Transfer in Heat Exchanger given Overall Heat Transfer Coefficient

Go Heat = Overall Heat Transfer Coefficient*Area of Heat Exchanger*Log Mean Temperature Difference

Fouling Factor

Go Fouling Factor = (1/Overall Heat Transfer Coefficient after Fouling)-(1/Overall Heat Transfer Coefficient)

Capacity Rate

Go Capacity Rate = Mass Flow Rate*Specific Heat Capacity

< 15 Heat Exchanger and its Effectiveness Calculators

Overall Heat Transfer Coefficient for Unfinned Tube

Effectiveness of Counter-Current Heat Exchanger if Cold Fluid is Minimum Fluid

Go Effectiveness of HE when Cold Fluid is Min Fluid = (modulus((Inlet Temperature of Cold Fluid-Outlet Temperature of Cold Fluid))/(Inlet Temperature of Hot Fluid-Outlet Temperature of Cold Fluid))

Effectiveness of Parallel-Flow Heat Exchanger if Cold Fluid is Minimum Fluid

Go Effectiveness of HE when Cold Fluid is Min Fluid = (Outlet Temperature of Cold Fluid-Inlet Temperature of Cold Fluid)/(Inlet Temperature of Hot Fluid-Inlet Temperature of Cold Fluid)

Effectiveness of Parallel-Flow Heat Exchanger if Hot Fluid is Minimum Fluid

Go Effectiveness of HE when Hot Fluid is Min Fluid = ((Inlet Temperature of Hot Fluid-Outlet Temperature of Hot Fluid)/(Inlet Temperature of Hot Fluid-Inlet Temperature of Cold Fluid))

Effectiveness of Counter-Current Heat Exchanger if Hot Fluid is Minimum Fluid

Go Effectiveness of HE when Hot Fluid is Min Fluid = (Inlet Temperature of Hot Fluid-Outlet Temperature of Hot Fluid)/(Inlet Temperature of Hot Fluid-Outlet Temperature of Cold Fluid)

Heat Transfer in Heat Exchanger given Cold Fluid Properties

Go Heat = modulus(Mass of Cold Fluid*Specific Heat Capacity of Cold Fluid*(Inlet Temperature of Cold Fluid-Outlet Temperature of Cold Fluid))

Heat Transfer in Heat Exchanger given Hot Fluid Properties

Go Heat = Mass of Hot Fluid*Specific Heat Capacity of Hot Fluid*(Inlet Temperature of Hot Fluid-Outlet Temperature of Hot Fluid)

Rate of Heat Transfer using Correction Factor and LMTD

Go Heat Transfer = Overall Heat Transfer Coefficient*Area of Heat Exchanger*Correction Factor*Log Mean Temperature Difference

Maximum Possible Rate of Heat Transfer

Go Maximum Possible Rate of Heat Transfer = Minimum Capacity Rate*(Inlet Temperature of Hot Fluid-Inlet Temperature of Cold Fluid)

Number of Heat Transfer Units

Go Number of Heat Transfer Units = (Overall Heat Transfer Coefficient*Area of Heat Exchanger)/Minimum Capacity Rate

Heat Transfer in Heat Exchanger given Overall Heat Transfer Coefficient

Go Heat = Overall Heat Transfer Coefficient*Area of Heat Exchanger*Log Mean Temperature Difference

Heat Exchanger Effectiveness for Minimum Fluid

Go Effectiveness of Heat Exchanger = Temperature Difference of Minimum Fluid/Maximum Temperature Difference in Heat Exchanger

Fouling Factor

Go Fouling Factor = (1/Overall Heat Transfer Coefficient after Fouling)-(1/Overall Heat Transfer Coefficient)

Heat Exchanger Effectiveness

Go Effectiveness of Heat Exchanger = Actual Rate of Heat Transfer/Maximum Possible Rate of Heat Transfer

Capacity Rate

Go Capacity Rate = Mass Flow Rate*Specific Heat Capacity

Maximum Possible Rate of Heat Transfer Formula

Maximum Possible Rate of Heat Transfer = Minimum Capacity Rate*(Inlet Temperature of Hot Fluid-Inlet Temperature of Cold Fluid)
Q_Max = C_min*(T_hi-T_ci)

What is Heat Exchanger?

A Heat Exchanger is a device that facilitates the process of heat exchange between two fluids that are at different temperatures.

What are the Different Types of Heat Exchanger?

Mainly Heat Exchanger are divided in 4 categories: Hairpin Type Heat Exchanger, Double Pipe Heat Exchanger, Shell and Tube Heat Exchanger & Plate Type Heat Exchanger.

How to Calculate Maximum Possible Rate of Heat Transfer?

Maximum Possible Rate of Heat Transfer calculator uses Maximum Possible Rate of Heat Transfer = Minimum Capacity Rate*(Inlet Temperature of Hot Fluid-Inlet Temperature of Cold Fluid) to calculate the Maximum Possible Rate of Heat Transfer, The Maximum Possible Rate of Heat Transfer formula is defined as the product of minimum capacity rate and temperature difference between hot inlet fluid and cold inlet fluid. Maximum Possible Rate of Heat Transfer is denoted by Q_Max symbol.

How to calculate Maximum Possible Rate of Heat Transfer using this online calculator? To use this online calculator for Maximum Possible Rate of Heat Transfer, enter Minimum Capacity Rate (C_min), Inlet Temperature of Hot Fluid (T_hi) & Inlet Temperature of Cold Fluid (T_ci) and hit the calculate button. Here is how the Maximum Possible Rate of Heat Transfer calculation can be explained with given input values -> 60000 = 1000*(343-283).

FAQ

What is Maximum Possible Rate of Heat Transfer?

The Maximum Possible Rate of Heat Transfer formula is defined as the product of minimum capacity rate and temperature difference between hot inlet fluid and cold inlet fluid and is represented as Q_Max = C_min*(T_hi-T_ci) or Maximum Possible Rate of Heat Transfer = Minimum Capacity Rate*(Inlet Temperature of Hot Fluid-Inlet Temperature of Cold Fluid). Minimum Capacity Rate is defined as the minimum quantity of heat required to raise the temperature of an object by 1 degree celcius or by 1 Kelvin per unit time, Inlet Temperature of Hot Fluid is the temperature at which the hot fluid enters the heat exchanger & Inlet Temperature of Cold Fluid is the temperature at which the cold fluid enters the heat exchanger.

How to calculate Maximum Possible Rate of Heat Transfer?

The Maximum Possible Rate of Heat Transfer formula is defined as the product of minimum capacity rate and temperature difference between hot inlet fluid and cold inlet fluid is calculated using Maximum Possible Rate of Heat Transfer = Minimum Capacity Rate*(Inlet Temperature of Hot Fluid-Inlet Temperature of Cold Fluid). To calculate Maximum Possible Rate of Heat Transfer, you need Minimum Capacity Rate (C_min), Inlet Temperature of Hot Fluid (T_hi) & Inlet Temperature of Cold Fluid (T_ci). With our tool, you need to enter the respective value for Minimum Capacity Rate, Inlet Temperature of Hot Fluid & Inlet 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.

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