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Heat Transfer by Conduction at Base Formula

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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. Check FAQs

Q fin = {(k o \cdot A cs \cdot P f \cdot h)}^{0.5} \cdot (t o - t a)

Q_fin - Rate of Conductive Heat Transfer?k_o - Thermal Conductivity of Fin?A_cs - Cross Sectional Area?P_f - Perimeter of the Fin?h - Convective Heat Transfer Coefficient?t_o - Base Temperature?t_a - Ambient Temperature?

Heat Transfer by Conduction at Base Example

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Here is how the Heat Transfer by Conduction at Base equation looks like with Values.

Here is how the Heat Transfer by Conduction at Base equation looks like with Units.

Here is how the Heat Transfer by Conduction at Base equation looks like.

6498.2461 = {(10.18 \cdot 41 \cdot 0.046 \cdot 30.17)}^{0.5} \cdot (573 - 303)

6498.2461W = {(10.18W/(m*K) \cdot 41m² \cdot 0.046m \cdot 30.17W/m²*K)}^{0.5} \cdot (573K - 303K)

6498.2461 = {(10.18 \cdot 41 \cdot 0.046 \cdot 30.17)}^{0.5} \cdot (573 - 303)

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Heat Transfer by Conduction at Base Solution

Follow our step by step solution on how to calculate Heat Transfer by Conduction at Base?

FIRST Step Consider the formula

Q fin = {(k o \cdot A cs \cdot P f \cdot h)}^{0.5} \cdot (t o - t a)

Next Step Substitute values of Variables

∴

Q fin = {(10.18W/(m*K) \cdot 41m² \cdot 0.046m \cdot 30.17W/m²*K)}^{0.5} \cdot (573K - 303K)

Next Step Prepare to Evaluate

∴

Q fin = {(10.18 \cdot 41 \cdot 0.046 \cdot 30.17)}^{0.5} \cdot (573 - 303)

Next Step Evaluate

∴

Q fin = 6498.24606456542W

LAST Step Rounding Answer

∴

Q fin = 6498.2461W

Heat Transfer by Conduction at Base Formula Elements

Variables

Rate of Conductive Heat Transfer

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.

Symbol: Q_fin

Measurement: PowerUnit: W

Note: Value can be positive or negative.

Formulas to find Rate of Conductive Heat Transfer

Open Variable

Thermal Conductivity of Fin

The Thermal Conductivity of Fin is a measure of a fin's ability to conduct heat, enhancing heat transfer efficiency in thermal systems.

Symbol: k_o

Measurement: Thermal ConductivityUnit: W/(m*K)

Note: Value should be greater than 0.

Formulas to find Thermal Conductivity of Fin

Open Variable

Cross Sectional Area

The Cross Sectional Area is the area of a cut surface through a solid object, influencing fluid flow and heat transfer in thermodynamic applications.

Symbol: A_cs

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Cross Sectional Area

Open Variable

Perimeter of the Fin

The Perimeter of the Fin is the total length around the outer edge of a fin, which enhances heat transfer in thermal systems.

Symbol: P_f

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Perimeter of the Fin

Open Variable

Convective Heat Transfer Coefficient

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.

Symbol: h

Measurement: Heat Transfer CoefficientUnit: W/m²*K

Note: Value should be greater than 0.

Formulas to find Convective Heat Transfer Coefficient

Open Variable

Base Temperature

The Base Temperature is the reference temperature used in heat transfer calculations, influencing the rate of heat conduction, convection, and radiation in thermal systems.

Symbol: t_o

Measurement: TemperatureUnit: K

Note: Value should be greater than 0.

Formulas to find Base Temperature

Open Variable

Ambient Temperature

The Ambient Temperature is the temperature of the surrounding environment, which influences heat transfer processes in mechanical systems and affects overall thermal performance.

Symbol: t_a

Measurement: TemperatureUnit: K

Note: Value should be greater than 0.

Formulas to find Ambient Temperature

Open Variable

Other formulas in Conduction, Convection and Radiation category

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Go Mass flux of fluid in transverse fin heat exchanger

Δm = \frac{R e \cdot μ}{De}

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How to Evaluate Heat Transfer by Conduction at Base?

Heat Transfer by Conduction at Base evaluator 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 evaluate 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 evaluate Heat Transfer by Conduction at Base using this online evaluator? To use this online evaluator 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.

FAQs on Heat Transfer by Conduction at Base

What is the formula to find Heat Transfer by Conduction at Base?

The formula of Heat Transfer by Conduction at Base is expressed as 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). Here is an example- 6498.246 = (10.18*41*0.046*30.17)^0.5*(573-303).

How to calculate Heat Transfer by Conduction at Base?

With 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) we can find Heat Transfer by Conduction at Base using the formula - 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).

Can the Heat Transfer by Conduction at Base be negative?

Yes, the Heat Transfer by Conduction at Base, measured in Power can be negative.

Which unit is used to measure Heat Transfer by Conduction at Base?

Heat Transfer by Conduction at Base is usually measured using the Watt[W] for Power. Kilowatt[W], Milliwatt[W], Microwatt[W] are the few other units in which Heat Transfer by Conduction at Base can be measured.

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