Heat Transfer by Conduction at Base Calculator

✖The Thermal Conductivity of Fin is a measure of a fin's ability to conduct heat, enhancing heat transfer efficiency in thermal systems.ⓘ Thermal Conductivity of Fin [k_o]			+10% -10%
✖The Cross Sectional Area is the area of a cut surface through a solid object, influencing fluid flow and heat transfer in thermodynamic applications.ⓘ Cross Sectional Area [A_cs]			+10% -10%
✖The Perimeter of the Fin is the total length around the outer edge of a fin, which enhances heat transfer in thermal systems.ⓘ Perimeter of the Fin [P_f]			+10% -10%
✖The Convective Heat Transfer Coefficient is a measure of the heat transfer rate between a solid surface and a fluid in motion, influencing thermal performance in various applications.ⓘ Convective Heat Transfer Coefficient [h]			+10% -10%
✖The Base Temperature is the reference temperature used in heat transfer calculations, influencing the rate of heat conduction, convection, and radiation in thermal systems.ⓘ Base Temperature [t_o]			+10% -10%
✖The Ambient Temperature is the temperature of the surrounding environment, which influences heat transfer processes in mechanical systems and affects overall thermal performance.ⓘ Ambient Temperature [t_a]			+10% -10%

✖The Rate of Conductive Heat Transfer is the measure of heat energy transfer through a material due to temperature differences, essential in understanding thermal performance in various applications.ⓘ Heat Transfer by Conduction at Base [Q_fin]

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Heat Transfer by Conduction at Base Solution

STEP 0: Pre-Calculation Summary

Formula Used

Rate of Conductive Heat Transfer = (Thermal Conductivity of Fin*Cross Sectional Area*Perimeter of the Fin*Convective Heat Transfer Coefficient)^0.5*(Base Temperature-Ambient Temperature)
Q_fin = (k_o*A_cs*P_f*h)^0.5*(t_o-t_a)
This formula uses 7 Variables

Variables Used

Rate of Conductive Heat Transfer - (Measured in Watt) - The Rate of Conductive Heat Transfer is the measure of heat energy transfer through a material due to temperature differences, essential in understanding thermal performance in various applications.
Thermal Conductivity of Fin - (Measured in Watt per Meter per K) - The Thermal Conductivity of Fin is a measure of a fin's ability to conduct heat, enhancing heat transfer efficiency in thermal systems.
Cross Sectional Area - (Measured in Square Meter) - The Cross Sectional Area is the area of a cut surface through a solid object, influencing fluid flow and heat transfer in thermodynamic applications.
Perimeter of the Fin - (Measured in Meter) - The Perimeter of the Fin is the total length around the outer edge of a fin, which enhances heat transfer in thermal systems.
Convective Heat Transfer Coefficient - (Measured in Watt per Square Meter per Kelvin) - The Convective Heat Transfer Coefficient is a measure of the heat transfer rate between a solid surface and a fluid in motion, influencing thermal performance in various applications.
Base Temperature - (Measured in Kelvin) - The Base Temperature is the reference temperature used in heat transfer calculations, influencing the rate of heat conduction, convection, and radiation in thermal systems.
Ambient Temperature - (Measured in Kelvin) - The Ambient Temperature is the temperature of the surrounding environment, which influences heat transfer processes in mechanical systems and affects overall thermal performance.

STEP 1: Convert Input(s) to Base Unit

Thermal Conductivity of Fin: 10.18 Watt per Meter per K --> 10.18 Watt per Meter per K No Conversion Required
Cross Sectional Area: 41 Square Meter --> 41 Square Meter No Conversion Required
Perimeter of the Fin: 0.046 Meter --> 0.046 Meter No Conversion Required
Convective Heat Transfer Coefficient: 30.17 Watt per Square Meter per Kelvin --> 30.17 Watt per Square Meter per Kelvin No Conversion Required
Base Temperature: 573 Kelvin --> 573 Kelvin No Conversion Required
Ambient Temperature: 303 Kelvin --> 303 Kelvin No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Q_fin = (k_o*A_cs*P_f*h)^0.5*(t_o-t_a) --> (10.18*41*0.046*30.17)^0.5*(573-303)

Evaluating ... ...

Q_fin = 6498.24606456542

STEP 3: Convert Result to Output's Unit

6498.24606456542 Watt --> No Conversion Required

FINAL ANSWER

6498.24606456542 ≈ 6498.246 Watt <-- Rate of Conductive Heat Transfer

(Calculation completed in 00.004 seconds)

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Home » Engineering » Mechanical » Thermodynamics » Heat Transfer » Conduction, Convection and Radiation » Heat Transfer by Conduction at Base

Credits

Created by Rushi Shah

K J Somaiya College of Engineering (K J Somaiya), Mumbai

Rushi Shah has created this Calculator and 25+ more calculators!

Verified by Dipto Mandal

Indian Institute of Information Technology (IIIT), Guwahati

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< Conduction, Convection and Radiation Calculators

Heat Exchange by Radiation due to Geometric Arrangement

LaTeX Go Heat Flux = Emissivity*Cross Sectional Area*[Stefan-BoltZ]*Shape Factor*(Temperature of Surface 1^(4)-Temperature of Surface 2^(4))

Heat Transfer According to Fourier's Law

LaTeX Go Heat Flow Through a Body = -(Thermal Conductivity of Fin*Surface Area of Heat Flow*Temperature Difference/Thickness of The Body)

Convective Processes Heat Transfer Coefficient

LaTeX Go Heat Flux = Heat Transfer Coefficient*(Surface Temperature-Recovery Temperature)

Thermal Resistance in Convection Heat Transfer

LaTeX Go Thermal Resistance = 1/(Exposed Surface Area*Coefficient of Convective Heat Transfer)

< Heat Transfer Through Fin Calculators

Overall heat transfer coefficient

LaTeX Go Overall Heat Transfer Coefficient = Heat Flow Rate/(Area*Logarithmic Mean Temperature Difference)

Heat flow required

LaTeX Go Heat Flow Rate = Area*Overall Heat Transfer Coefficient*Logarithmic Mean Temperature Difference

Mass flux of fluid in transverse fin heat exchanger

LaTeX Go Mass Flux = (Reynolds Number(e)*Viscosity of Fluid)/Equivalent Diameter

Reynolds number in heat exchanger

LaTeX Go Reynolds Number = (Mass Flux*Equivalent Diameter)/(Viscosity of Fluid)

Heat Transfer by Conduction at Base Formula

LaTeX Go

What Are Fins?

Fins are the extended surface protruding from a surface or body and they are meant for increasing the heat transfer rate between the surface and the surrounding fluid by
increasing heat transfer area.

How to Calculate Heat Transfer by Conduction at Base?

Heat Transfer by Conduction at Base calculator uses Rate of Conductive Heat Transfer = (Thermal Conductivity of Fin*Cross Sectional Area*Perimeter of the Fin*Convective Heat Transfer Coefficient)^0.5*(Base Temperature-Ambient Temperature) to calculate the Rate of Conductive Heat Transfer, Heat Transfer by Conduction at Base formula is defined as a method to quantify the thermal energy transfer through a material's base due to temperature differences, facilitating the analysis of heat exchanger efficiency in mechanical systems. Rate of Conductive Heat Transfer is denoted by Q_fin symbol.

How to calculate Heat Transfer by Conduction at Base using this online calculator? To use this online calculator for Heat Transfer by Conduction at Base, enter Thermal Conductivity of Fin (k_o), Cross Sectional Area (A_cs), Perimeter of the Fin (P_f), Convective Heat Transfer Coefficient (h), Base Temperature (t_o) & Ambient Temperature (t_a) and hit the calculate button. Here is how the Heat Transfer by Conduction at Base calculation can be explained with given input values -> 6498.246 = (10.18*41*0.046*30.17)^0.5*(573-303).

FAQ

What is Heat Transfer by Conduction at Base?

Heat Transfer by Conduction at Base formula is defined as a method to quantify the thermal energy transfer through a material's base due to temperature differences, facilitating the analysis of heat exchanger efficiency in mechanical systems and is represented as Q_fin = (k_o*A_cs*P_f*h)^0.5*(t_o-t_a) or Rate of Conductive Heat Transfer = (Thermal Conductivity of Fin*Cross Sectional Area*Perimeter of the Fin*Convective Heat Transfer Coefficient)^0.5*(Base Temperature-Ambient Temperature). The Thermal Conductivity of Fin is a measure of a fin's ability to conduct heat, enhancing heat transfer efficiency in thermal systems, The Cross Sectional Area is the area of a cut surface through a solid object, influencing fluid flow and heat transfer in thermodynamic applications, The Perimeter of the Fin is the total length around the outer edge of a fin, which enhances heat transfer in thermal systems, The Convective Heat Transfer Coefficient is a measure of the heat transfer rate between a solid surface and a fluid in motion, influencing thermal performance in various applications, The Base Temperature is the reference temperature used in heat transfer calculations, influencing the rate of heat conduction, convection, and radiation in thermal systems & The Ambient Temperature is the temperature of the surrounding environment, which influences heat transfer processes in mechanical systems and affects overall thermal performance.

How to calculate Heat Transfer by Conduction at Base?

Heat Transfer by Conduction at Base formula is defined as a method to quantify the thermal energy transfer through a material's base due to temperature differences, facilitating the analysis of heat exchanger efficiency in mechanical systems is calculated using Rate of Conductive Heat Transfer = (Thermal Conductivity of Fin*Cross Sectional Area*Perimeter of the Fin*Convective Heat Transfer Coefficient)^0.5*(Base Temperature-Ambient Temperature). To calculate Heat Transfer by Conduction at Base, you need Thermal Conductivity of Fin (k_o), Cross Sectional Area (A_cs), Perimeter of the Fin (P_f), Convective Heat Transfer Coefficient (h), Base Temperature (t_o) & Ambient Temperature (t_a). With our tool, you need to enter the respective value for Thermal Conductivity of Fin, Cross Sectional Area, Perimeter of the Fin, Convective Heat Transfer Coefficient, Base Temperature & Ambient Temperature 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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