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Effective thermal conductivity Formula

GoEffective thermal conductivity for annular space between concentric cylinders Formula

GoEffective thermal conductivity given Prandtl number Formula

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Effective Thermal Conductivity is the rate of heat transfer through a unit thickness of the material per unit area per unit temperature difference. Check FAQs

k Eff = \frac{Q s \cdot (r 2 - r 1)}{4 \cdot π \cdot r 1 \cdot r 2 \cdot ΔT}

k_Eff - Effective Thermal Conductivity?Q_s - Heat transfer Between Concentric Spheres?r₂ - Outer Radius?r₁ - Inside Radius?ΔT - Temperature Difference?π - Archimedes' constant?

Effective thermal conductivity Example

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Here is how the Effective thermal conductivity equation looks like with Values.

Here is how the Effective thermal conductivity equation looks like with Units.

Here is how the Effective thermal conductivity equation looks like.

0.2744 = \frac{2 \cdot (0.02 - 0.01)}{4 \cdot 3.1416 \cdot 0.01 \cdot 0.02 \cdot 29}

0.2744W/(m*K) = \frac{2W \cdot (0.02m - 0.01m)}{4 \cdot 3.1416 \cdot 0.01m \cdot 0.02m \cdot 29K}

0.2744 = \frac{2 \cdot (0.02 - 0.01)}{4 \cdot 3.1416 \cdot 0.01 \cdot 0.02 \cdot 29}

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Effective thermal conductivity Solution

Follow our step by step solution on how to calculate Effective thermal conductivity?

FIRST Step Consider the formula

k Eff = \frac{Q s \cdot (r 2 - r 1)}{4 \cdot π \cdot r 1 \cdot r 2 \cdot ΔT}

Next Step Substitute values of Variables

∴

k Eff = \frac{2W \cdot (0.02m - 0.01m)}{4 \cdot π \cdot 0.01m \cdot 0.02m \cdot 29K}

Next Step Substitute values of Constants

∴

k Eff = \frac{2W \cdot (0.02m - 0.01m)}{4 \cdot 3.1416 \cdot 0.01m \cdot 0.02m \cdot 29K}

Next Step Prepare to Evaluate

∴

k Eff = \frac{2 \cdot (0.02 - 0.01)}{4 \cdot 3.1416 \cdot 0.01 \cdot 0.02 \cdot 29}

Next Step Evaluate

∴

k Eff = 0.274405074296371W/(m*K)

LAST Step Rounding Answer

∴

k Eff = 0.2744W/(m*K)

Effective thermal conductivity Formula Elements

Variables

Constants

Effective Thermal Conductivity

Effective Thermal Conductivity is the rate of heat transfer through a unit thickness of the material per unit area per unit temperature difference.

Symbol: k_Eff

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

Note: Value can be positive or negative.

Formulas to find Effective Thermal Conductivity

Heat transfer Between Concentric Spheres

Heat transfer Between Concentric Spheres is defined as the movement of heat across the border of the system due to a difference in temperature between the system and its surroundings.

Symbol: Q_s

Measurement: PowerUnit: W

Note: Value can be positive or negative.

Formulas to find Heat transfer Between Concentric Spheres

Outer Radius

Outer Radius is a straight line from the centre to the outer circumference of a circle or sphere.

Symbol: r₂

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Outer Radius

Inside Radius

Inside Radius is a straight line from the centre to the inner circumference of a circle or sphere.

Symbol: r₁

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Inside Radius

Temperature Difference

Temperature Difference is the measure of the hotness or the coldness of an object.

Symbol: ΔT

Measurement: Temperature DifferenceUnit: K

Note: Value can be positive or negative.

Formulas to find Temperature Difference

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

Other Formulas to find Effective Thermal Conductivity

Go Effective thermal conductivity for annular space between concentric cylinders

k Eff = e' \cdot (\frac{\ln (\frac{D o}{D i})}{2 \cdot π} \cdot (t i - t o))

Go Effective thermal conductivity given Prandtl number

k Eff = 0.386 \cdot kl \cdot ({(\frac{Pr}{0.861 + Pr})}^{0.25}) \cdot {(Ra c)}^{0.25}

Go Effective thermal conductivity for space between two concentric spheres

k Eff = \frac{Q s}{(π \cdot (t i - t o)) \cdot (\frac{D o \cdot D i}{L})}

Go Effective Thermal Conductivity given Rayleigh Number based on Turbulence

k Eff = kl \cdot 0.74 \cdot ({(\frac{Pr}{0.861 + Pr})}^{0.25}) \cdot {Ra c}^{0.25}

Other formulas in Effective Thermal Conductivity and Heat Transfer category

Go Heat transfer per unit length for annular space between concentric cylinders

e' = (\frac{2 \cdot π \cdot k Eff}{\ln (\frac{D o}{D i})}) \cdot (t i - t o)

Go Heat transfer between concentric spheres given both diameters

Q s = (k Eff \cdot π \cdot (t i - t o)) \cdot (\frac{D o \cdot D i}{L})

Go Heat transfer between concentric spheres given both radii

Q s = \frac{4 \cdot π \cdot k Eff \cdot r 1 \cdot r 2 \cdot ΔT}{r 2 - r 1}

How to Evaluate Effective thermal conductivity?

Effective thermal conductivity evaluator uses Effective Thermal Conductivity = (Heat transfer Between Concentric Spheres*(Outer Radius-Inside Radius))/(4*pi*Inside Radius*Outer Radius*Temperature Difference) to evaluate the Effective Thermal Conductivity, The Effective thermal conductivity formula is defined as the transport of energy due to random molecular motion across a temperature gradient. Effective Thermal Conductivity is denoted by k_Eff symbol.

How to evaluate Effective thermal conductivity using this online evaluator? To use this online evaluator for Effective thermal conductivity, enter Heat transfer Between Concentric Spheres (Q_s), Outer Radius (r₂), Inside Radius (r₁) & Temperature Difference (ΔT) and hit the calculate button.

FAQs on Effective thermal conductivity

What is the formula to find Effective thermal conductivity?

The formula of Effective thermal conductivity is expressed as Effective Thermal Conductivity = (Heat transfer Between Concentric Spheres*(Outer Radius-Inside Radius))/(4*pi*Inside Radius*Outer Radius*Temperature Difference). Here is an example- 0.274405 = (2*(0.02-0.01))/(4*pi*0.01*0.02*29).

How to calculate Effective thermal conductivity?

With Heat transfer Between Concentric Spheres (Q_s), Outer Radius (r₂), Inside Radius (r₁) & Temperature Difference (ΔT) we can find Effective thermal conductivity using the formula - Effective Thermal Conductivity = (Heat transfer Between Concentric Spheres*(Outer Radius-Inside Radius))/(4*pi*Inside Radius*Outer Radius*Temperature Difference). This formula also uses Archimedes' constant .

What are the other ways to Calculate Effective Thermal Conductivity?

Here are the different ways to Calculate Effective Thermal Conductivity-

Effective Thermal Conductivity=Heat Transfer per Unit Length*((ln(Outside Diameter/Inside Diameter))/(2*pi)*(Inside Temperature-Outside Temperature))
Effective Thermal Conductivity=0.386*Thermal Conductivity of Liquid*(((Prandtl Number)/(0.861+Prandtl Number))^0.25)*(Rayleigh Number Based on Turbulance)^0.25
Effective Thermal Conductivity=Heat transfer Between Concentric Spheres/((pi*(Inside Temperature-Outside Temperature))*((Outside Diameter*Inside Diameter)/Length))

Can the Effective thermal conductivity be negative?

Yes, the Effective thermal conductivity, measured in Thermal Conductivity can be negative.

Which unit is used to measure Effective thermal conductivity?

Effective thermal conductivity is usually measured using the Watt per Meter per K[W/(m*K)] for Thermal Conductivity. Kilowatt per Meter per K[W/(m*K)], Calorie (IT) per Second per Centimeter per °C[W/(m*K)], Kilocalorie (th) per Hour per Meter per °C[W/(m*K)] are the few other units in which Effective thermal conductivity can be measured.

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Effective thermal conductivity Formula

​GoEffective thermal conductivity for annular space between concentric cylinders Formula

​GoEffective thermal conductivity given Prandtl number Formula

Effective thermal conductivity Example

Effective thermal conductivity Solution

Effective thermal conductivity Formula Elements

Other Formulas to find Effective Thermal Conductivity

Other formulas in Effective Thermal Conductivity and Heat Transfer category

How to Evaluate Effective thermal conductivity?

FAQs on Effective thermal conductivity

Variable Name

GoEffective thermal conductivity for annular space between concentric cylinders Formula

GoEffective thermal conductivity given Prandtl number Formula