Logarithmic mean of temperature difference Solution

STEP 0: Pre-Calculation Summary
Formula Used
Logarithmic Mean Temperature Difference = Heat Flow Rate/(Area*Overall Heat Transfer Coefficient)
ΔTm = Q/(A*Uoverall)
This formula uses 4 Variables
Variables Used
Logarithmic Mean Temperature Difference - Logarithmic Mean Temperature Difference is the log of the mean of the temperature values.
Heat Flow Rate - (Measured in Watt) - Heat Flow Rate is the amount of heat that is transferred per unit of time in some material, usually measured in watt. Heat is the flow of thermal energy driven by thermal non-equilibrium.
Area - (Measured in Square Meter) - The area is the amount of two-dimensional space taken up by an object.
Overall Heat Transfer Coefficient - (Measured in Watt per Square Meter per Kelvin) - Overall heat transfer coefficient is the overall convective heat transfer between a fluid medium (a fluid) and the surface (wall) flowed over by the fluid.
STEP 1: Convert Input(s) to Base Unit
Heat Flow Rate: 125 Watt --> 125 Watt No Conversion Required
Area: 50 Square Meter --> 50 Square Meter No Conversion Required
Overall Heat Transfer Coefficient: 0.25 Watt per Square Meter per Kelvin --> 0.25 Watt per Square Meter per Kelvin No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
ΔTm = Q/(A*Uoverall) --> 125/(50*0.25)
Evaluating ... ...
ΔTm = 10
STEP 3: Convert Result to Output's Unit
10 --> No Conversion Required
FINAL ANSWER
10 <-- Logarithmic Mean Temperature Difference
(Calculation completed in 00.004 seconds)

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Shri Madhwa Vadiraja Institute of Technology and Management (SMVITM), Udupi
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25 Transverse Fin Heat Exchanger Calculators

Outer Diameter of Tube in Transverse Fin Heat Exchanger
Go Outer Diameter = Bare Area/(pi*(Height of Crack-Number of Fins*Thickness))
Bare Area over Fin leaving Fin Base
Go Bare Area = pi*Outer Diameter*(Height of Crack-Number of Fins*Thickness)
Number of tubes in transverse fin heat exchanger
Go Number of Tubes = Mass Flow Rate/(Mass Flux(g)*Distance between two Consequent Tubes*Height of Crack)
Mass flux given mass flowrate
Go Mass Flux(g) = Mass Flow Rate/(Number of Tubes*Distance between two Consequent Tubes*Height of Crack)
Mass flowrate given mass flux
Go Mass Flow Rate = Mass Flux(g)*Number of Tubes*Distance between two Consequent Tubes*Height of Crack
Distance between two consequent tubes in transverse fin heat exchanger
Go Distance between two Consequent Tubes = Mass Flow Rate/(Mass Flux(g)*Number of Tubes*Length)
Length of tube bank
Go Length = Mass Flow Rate/(Mass Flux(g)*Number of Tubes*Distance between two Consequent Tubes)
Number of fins in length L
Go Number of Fins = (2*Surface Area)/(pi*((Fin Diameter^2)-(Outer Diameter^2)))
Fin surface area
Go Surface Area = (pi/2)*Number of Fins*((Fin Diameter^2)-(Outer Diameter^2))
Tube inside area required for heat exchange
Go Area = Heat Flow Rate/(Overall Heat Transfer Coefficient*Logarithmic Mean Temperature Difference)
Logarithmic mean of temperature difference
Go Logarithmic Mean Temperature Difference = Heat Flow Rate/(Area*Overall Heat Transfer Coefficient)
Perimeter given equivalent diameter
Go Perimeter = (2*(Surface Area+Bare Area))/(pi*Equivalent Diameter)
Overall heat transfer coefficient
Go Overall Heat Transfer Coefficient = Heat Flow Rate/(Area*Logarithmic Mean Temperature Difference)
Bare Area over Fin leaving Fin Base given Surface Area
Go Bare Area = ((pi*Equivalent Diameter*Perimeter)/2)-Surface Area
Fin surface area given equivalent diameter
Go Surface Area = ((pi*Equivalent Diameter*Perimeter)/2)-Bare Area
Equivalent diameter
Go Equivalent Diameter = 2*(Surface Area+Bare Area)/(pi*Perimeter)
Heat flow required
Go Heat Flow Rate = Area*Overall Heat Transfer Coefficient*Logarithmic Mean Temperature Difference
Equivalent diameter of tube for transverse fin heat exchanger
Go Equivalent Diameter = (Reynolds Number(e)*Viscosity of Fluid)/(Mass Flux)
Viscosity of fluid flowing inside tube of transverse fin heat exchanger
Go Viscosity of Fluid = (Mass Flux*Equivalent Diameter)/Reynolds Number(e)
Mass flux of fluid in transverse fin heat exchanger
Go Mass Flux = (Reynolds Number(e)*Viscosity of Fluid)/Equivalent Diameter
Reynolds number in heat exchanger
Go Reynolds Number = (Mass Flux*Equivalent Diameter)/(Viscosity of Fluid)
Length of fin
Go Fin Length = (Perimeter-(2*Height of Crack))/((4*Number of Fins))
Height of tank tube given perimeter
Go Height of Crack = (Perimeter-(4*Number of Fins*Fin Length))/2
Number of fins given perimeter
Go Number of Fins = (Perimeter-2*Height of Crack)/(4*Fin Length)
Perimeter of tube
Go Perimeter = (4*Number of Fins*Fin Length)+2*Height of Crack

Logarithmic mean of temperature difference Formula

Logarithmic Mean Temperature Difference = Heat Flow Rate/(Area*Overall Heat Transfer Coefficient)
ΔTm = Q/(A*Uoverall)

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 Logarithmic mean of temperature difference?

Logarithmic mean of temperature difference calculator uses Logarithmic Mean Temperature Difference = Heat Flow Rate/(Area*Overall Heat Transfer Coefficient) to calculate the Logarithmic Mean Temperature Difference, The Logarithmic mean of temperature difference formula is defined as is a logarithmic average of the temperature difference between the hot and cold fluid at each end of the exchanger. Logarithmic Mean Temperature Difference is denoted by ΔTm symbol.

How to calculate Logarithmic mean of temperature difference using this online calculator? To use this online calculator for Logarithmic mean of temperature difference, enter Heat Flow Rate (Q), Area (A) & Overall Heat Transfer Coefficient (Uoverall) and hit the calculate button. Here is how the Logarithmic mean of temperature difference calculation can be explained with given input values -> 10 = 125/(50*0.25).

FAQ

What is Logarithmic mean of temperature difference?
The Logarithmic mean of temperature difference formula is defined as is a logarithmic average of the temperature difference between the hot and cold fluid at each end of the exchanger and is represented as ΔTm = Q/(A*Uoverall) or Logarithmic Mean Temperature Difference = Heat Flow Rate/(Area*Overall Heat Transfer Coefficient). Heat Flow Rate is the amount of heat that is transferred per unit of time in some material, usually measured in watt. Heat is the flow of thermal energy driven by thermal non-equilibrium, The area is the amount of two-dimensional space taken up by an object & Overall heat transfer coefficient is the overall convective heat transfer between a fluid medium (a fluid) and the surface (wall) flowed over by the fluid.
How to calculate Logarithmic mean of temperature difference?
The Logarithmic mean of temperature difference formula is defined as is a logarithmic average of the temperature difference between the hot and cold fluid at each end of the exchanger is calculated using Logarithmic Mean Temperature Difference = Heat Flow Rate/(Area*Overall Heat Transfer Coefficient). To calculate Logarithmic mean of temperature difference, you need Heat Flow Rate (Q), Area (A) & Overall Heat Transfer Coefficient (Uoverall). With our tool, you need to enter the respective value for Heat Flow Rate, Area & Overall Heat Transfer Coefficient 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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