Rate of Heat Transfer using Correction Factor and LMTD Solution

STEP 0: Pre-Calculation Summary
Formula Used
Heat Transfer = Overall Heat Transfer Coefficient*Area of Heat Exchanger*Correction Factor*Log Mean Temperature Difference
q = U*A*F*ΔTm
This formula uses 5 Variables
Variables Used
Heat Transfer - (Measured in Watt) - Heat Transfer is the amount of heat that is transferred per unit of time in some material, usually measured in watts (joules per second).
Overall Heat Transfer Coefficient - (Measured in Watt per Square Meter per Kelvin) - The Overall Heat Transfer Coefficient is a measure of the overall ability of a series of conductive and convective barriers to transfer heat.
Area of Heat Exchanger - (Measured in Square Meter) - Area of heat exchanger is the surface area of the heat transfer surface within the exchanger that is responsible for exchanging heat between two fluids.
Correction Factor - Correction factor for heat transfer is a dimensionless quantity that is used to modify the basic heat transfer coefficient for a given system to account for any deviation from idealized conditions.
Log Mean Temperature Difference - (Measured in Kelvin) - The log mean temperature difference (LMTD) is a logarithmic average of the temperature difference between the hot and cold streams at each end of the heat exchanger.
STEP 1: Convert Input(s) to Base Unit
Overall Heat Transfer Coefficient: 40 Watt per Square Meter per Kelvin --> 40 Watt per Square Meter per Kelvin No Conversion Required
Area of Heat Exchanger: 6.68 Square Meter --> 6.68 Square Meter No Conversion Required
Correction Factor: 0.47 --> No Conversion Required
Log Mean Temperature Difference: 16 Kelvin --> 16 Kelvin No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
q = U*A*F*ΔTm --> 40*6.68*0.47*16
Evaluating ... ...
q = 2009.344
STEP 3: Convert Result to Output's Unit
2009.344 Watt --> No Conversion Required
FINAL ANSWER
2009.344 Watt <-- Heat Transfer
(Calculation completed in 00.004 seconds)

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

Rate of Heat Transfer using Correction Factor and LMTD Formula

Heat Transfer = Overall Heat Transfer Coefficient*Area of Heat Exchanger*Correction Factor*Log Mean Temperature Difference
q = U*A*F*ΔTm

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 Rate of Heat Transfer using Correction Factor and LMTD?

Rate of Heat Transfer using Correction Factor and LMTD calculator uses Heat Transfer = Overall Heat Transfer Coefficient*Area of Heat Exchanger*Correction Factor*Log Mean Temperature Difference to calculate the Heat Transfer, The Rate of Heat Transfer using Correction Factor and LMTD formula is defined as the amount of heat that is transferred per unit of time in multi pass heat exchangers using for correction factor for accounting deviation in LMTD. Heat Transfer is denoted by q symbol.

How to calculate Rate of Heat Transfer using Correction Factor and LMTD using this online calculator? To use this online calculator for Rate of Heat Transfer using Correction Factor and LMTD, enter Overall Heat Transfer Coefficient (U), Area of Heat Exchanger (A), Correction Factor (F) & Log Mean Temperature Difference (ΔTm) and hit the calculate button. Here is how the Rate of Heat Transfer using Correction Factor and LMTD calculation can be explained with given input values -> 2009.344 = 40*6.68*0.47*16.

FAQ

What is Rate of Heat Transfer using Correction Factor and LMTD?
The Rate of Heat Transfer using Correction Factor and LMTD formula is defined as the amount of heat that is transferred per unit of time in multi pass heat exchangers using for correction factor for accounting deviation in LMTD and is represented as q = U*A*F*ΔTm or Heat Transfer = Overall Heat Transfer Coefficient*Area of Heat Exchanger*Correction Factor*Log Mean Temperature Difference. The Overall Heat Transfer Coefficient is a measure of the overall ability of a series of conductive and convective barriers to transfer heat, Area of heat exchanger is the surface area of the heat transfer surface within the exchanger that is responsible for exchanging heat between two fluids, Correction factor for heat transfer is a dimensionless quantity that is used to modify the basic heat transfer coefficient for a given system to account for any deviation from idealized conditions & The log mean temperature difference (LMTD) is a logarithmic average of the temperature difference between the hot and cold streams at each end of the heat exchanger.
How to calculate Rate of Heat Transfer using Correction Factor and LMTD?
The Rate of Heat Transfer using Correction Factor and LMTD formula is defined as the amount of heat that is transferred per unit of time in multi pass heat exchangers using for correction factor for accounting deviation in LMTD is calculated using Heat Transfer = Overall Heat Transfer Coefficient*Area of Heat Exchanger*Correction Factor*Log Mean Temperature Difference. To calculate Rate of Heat Transfer using Correction Factor and LMTD, you need Overall Heat Transfer Coefficient (U), Area of Heat Exchanger (A), Correction Factor (F) & Log Mean Temperature Difference (ΔTm). With our tool, you need to enter the respective value for Overall Heat Transfer Coefficient, Area of Heat Exchanger, Correction Factor & Log Mean Temperature Difference 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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