Effective thermal conductivity Calculator

✖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.ⓘ Heat transfer Between Concentric Spheres [Q_s]			+10% -10%
✖Outer Radius is a straight line from the centre to the outer circumference of a circle or sphere.ⓘ Outer Radius [r₂]			+10% -10%
✖Inside Radius is a straight line from the centre to the inner circumference of a circle or sphere.ⓘ Inside Radius [r₁]			+10% -10%
✖Temperature Difference is the measure of the hotness or the coldness of an object.ⓘ Temperature Difference [ΔT]			+10% -10%

✖Effective Thermal Conductivity is the rate of heat transfer through a unit thickness of the material per unit area per unit temperature difference.ⓘ Effective thermal conductivity [k_Eff]

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Effective thermal conductivity Solution

STEP 0: Pre-Calculation Summary

Formula Used

Effective Thermal Conductivity = (Heat transfer Between Concentric Spheres*(Outer Radius-Inside Radius))/(4*pi*Inside Radius*Outer Radius*Temperature Difference)
k_Eff = (Q_s*(r₂-r₁))/(4*pi*r₁*r₂*ΔT)
This formula uses 1 Constants, 5 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Effective Thermal Conductivity - (Measured in Watt per Meter per K) - Effective Thermal Conductivity is the rate of heat transfer through a unit thickness of the material per unit area per unit temperature difference.
Heat transfer Between Concentric Spheres - (Measured in Watt) - 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.
Outer Radius - (Measured in Meter) - Outer Radius is a straight line from the centre to the outer circumference of a circle or sphere.
Inside Radius - (Measured in Meter) - Inside Radius is a straight line from the centre to the inner circumference of a circle or sphere.
Temperature Difference - (Measured in Kelvin) - Temperature Difference is the measure of the hotness or the coldness of an object.

STEP 1: Convert Input(s) to Base Unit

Heat transfer Between Concentric Spheres: 2 Watt --> 2 Watt No Conversion Required
Outer Radius: 0.02 Meter --> 0.02 Meter No Conversion Required
Inside Radius: 0.01 Meter --> 0.01 Meter No Conversion Required
Temperature Difference: 29 Kelvin --> 29 Kelvin No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

k_Eff = (Q_s*(r₂-r₁))/(4*pi*r₁*r₂*ΔT) --> (2*(0.02-0.01))/(4*pi*0.01*0.02*29)

Evaluating ... ...

k_Eff = 0.274405074296371

STEP 3: Convert Result to Output's Unit

0.274405074296371 Watt per Meter per K --> No Conversion Required

FINAL ANSWER

0.274405074296371 ≈ 0.274405 Watt per Meter per K <-- Effective Thermal Conductivity

(Calculation completed in 00.020 seconds)

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Shri Madhwa Vadiraja Institute of Technology and Management (SMVITM), Udupi

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< Effective Thermal Conductivity and Heat Transfer Calculators

Heat transfer between concentric spheres given both diameters

LaTeX Go Heat transfer Between Concentric Spheres = (Effective Thermal Conductivity*pi*(Inside Temperature-Outside Temperature))*((Outside Diameter*Inside Diameter)/Length)

Effective thermal conductivity for annular space between concentric cylinders

LaTeX Go Effective Thermal Conductivity = Heat Transfer per Unit Length*((ln(Outside Diameter/Inside Diameter))/(2*pi)*(Inside Temperature-Outside Temperature))

Heat transfer per unit length for annular space between concentric cylinders

LaTeX Go Heat Transfer per Unit Length = ((2*pi*Effective Thermal Conductivity)/(ln(Outside Diameter/Inside Diameter)))*(Inside Temperature-Outside Temperature)

Effective thermal conductivity given Prandtl number

LaTeX Go 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 Formula

LaTeX Go

What is convection

Convection is the process of heat transfer by the bulk movement of molecules within fluids such as gases and liquids. The initial heat transfer between the object and the fluid takes place through conduction, but the bulk heat transfer happens due to the motion of the fluid.
Convection is the process of heat transfer in fluids by the actual motion of matter.
It happens in liquids and gases.
It may be natural or forced.
It involves a bulk transfer of portions of the fluid.

How to Calculate Effective thermal conductivity?

Effective thermal conductivity calculator uses Effective Thermal Conductivity = (Heat transfer Between Concentric Spheres*(Outer Radius-Inside Radius))/(4*pi*Inside Radius*Outer Radius*Temperature Difference) to calculate 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 calculate Effective thermal conductivity using this online calculator? To use this online calculator 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. Here is how the Effective thermal conductivity calculation can be explained with given input values -> 0.274405 = (2*(0.02-0.01))/(4*pi*0.01*0.02*29).

FAQ

What is Effective thermal conductivity?

The Effective thermal conductivity formula is defined as the transport of energy due to random molecular motion across a temperature gradient and is represented as k_Eff = (Q_s*(r₂-r₁))/(4*pi*r₁*r₂*ΔT) or Effective Thermal Conductivity = (Heat transfer Between Concentric Spheres*(Outer Radius-Inside Radius))/(4*pi*Inside Radius*Outer Radius*Temperature Difference). 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, Outer Radius is a straight line from the centre to the outer circumference of a circle or sphere, Inside Radius is a straight line from the centre to the inner circumference of a circle or sphere & Temperature Difference is the measure of the hotness or the coldness of an object.

How to calculate Effective thermal conductivity?

The Effective thermal conductivity formula is defined as the transport of energy due to random molecular motion across a temperature gradient is calculated using Effective Thermal Conductivity = (Heat transfer Between Concentric Spheres*(Outer Radius-Inside Radius))/(4*pi*Inside Radius*Outer Radius*Temperature Difference). To calculate Effective thermal conductivity, you need Heat transfer Between Concentric Spheres (Q_s), Outer Radius (r₂), Inside Radius (r₁) & Temperature Difference (ΔT). With our tool, you need to enter the respective value for Heat transfer Between Concentric Spheres, Outer Radius, Inside Radius & Temperature Difference and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Effective Thermal Conductivity?

In this formula, Effective Thermal Conductivity uses Heat transfer Between Concentric Spheres, Outer Radius, Inside Radius & Temperature Difference. We can use 3 other way(s) to calculate the same, which is/are as follows -

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))

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