Heat transfer between concentric spheres given both diameters Calculator

✖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]			+10% -10%
✖Inside Temperature is the temperature of air present inside.ⓘ Inside Temperature [t_i]			+10% -10%
✖Outside Temperature is the temperature of air present outside.ⓘ Outside Temperature [t_o]			+10% -10%
✖Outside Diameter is the diameter of the outside surface.ⓘ Outside Diameter [D_o]			+10% -10%
✖Inside diameter is the diameter of the inside surface.ⓘ Inside Diameter [D_i]			+10% -10%
✖Length is the measurement or extent of something from end to end.ⓘ Length [L]			+10% -10%

✖Heat transfer 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 given both diameters [q]

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Formula

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Heat transfer between concentric spheres given both diameters

Formula

`"q" = ("k"_{"Eff"}*pi*("t"_{"i"}-"t"_{"o"}))*(("D"_{"o"}*"D"_{"i"})/"L")`

Example

`"0.20944W"=("10W/(m*K)"*pi*("353K"-"273K"))*(("0.05m"*"0.005m")/"3m")`

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Heat transfer between concentric spheres given both diameters Solution

STEP 0: Pre-Calculation Summary

Formula Used

Heat transfer = (Effective Thermal Conductivity*pi*(Inside Temperature-Outside Temperature))*((Outside Diameter*Inside Diameter)/Length)
q = (k_Eff*pi*(t_i-t_o))*((D_o*D_i)/L)
This formula uses 1 Constants, 7 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Heat transfer - (Measured in Watt) - Heat transfer 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.
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.
Inside Temperature - (Measured in Kelvin) - Inside Temperature is the temperature of air present inside.
Outside Temperature - (Measured in Kelvin) - Outside Temperature is the temperature of air present outside.
Outside Diameter - (Measured in Meter) - Outside Diameter is the diameter of the outside surface.
Inside Diameter - (Measured in Meter) - Inside diameter is the diameter of the inside surface.
Length - (Measured in Meter) - Length is the measurement or extent of something from end to end.

STEP 1: Convert Input(s) to Base Unit

Effective Thermal Conductivity: 10 Watt per Meter per K --> 10 Watt per Meter per K No Conversion Required
Inside Temperature: 353 Kelvin --> 353 Kelvin No Conversion Required
Outside Temperature: 273 Kelvin --> 273 Kelvin No Conversion Required
Outside Diameter: 0.05 Meter --> 0.05 Meter No Conversion Required
Inside Diameter: 0.005 Meter --> 0.005 Meter No Conversion Required
Length: 3 Meter --> 3 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

q = (k_Eff*pi*(t_i-t_o))*((D_o*D_i)/L) --> (10*pi*(353-273))*((0.05*0.005)/3)

Evaluating ... ...

q = 0.20943951023932

STEP 3: Convert Result to Output's Unit

0.20943951023932 Watt --> No Conversion Required

FINAL ANSWER

0.20943951023932 ≈ 0.20944 Watt <-- Heat transfer

(Calculation completed in 00.020 seconds)

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Home » Physics » Heat and Mass Transfer » Convection » Free convection » Effective Thermal Conductivity and Heat Transfer » Heat transfer between concentric spheres given both diameters

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Created by Nishan Poojary

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

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< 8 Effective Thermal Conductivity and Heat Transfer Calculators

Effective thermal conductivity for annular space between concentric cylinders

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

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

Effective thermal conductivity for space between two concentric spheres

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

Heat transfer between concentric spheres given both diameters

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

Effective thermal conductivity

Go Effective Thermal Conductivity = (Heat transfer*(Outer Radius-Inside Radius))/(4*pi*Inside Radius*Outer Radius*Temperature Difference)

Heat transfer between concentric spheres given both radii

Go Heat transfer = (4*pi*Effective Thermal Conductivity*Inside Radius*Outer Radius*Temperature Difference)/(Outer Radius-Inside Radius)

Effective thermal conductivity given Prandtl number

Go Effective Thermal Conductivity = 0.386*Thermal Conductivity of Liquid*(((Prandtl Number)/(0.861+Prandtl Number))^0.25)*(Rayleigh Number(t))^0.25

Effective Thermal Conductivity given Rayleigh Number based on Turbulence

Go Effective Thermal Conductivity = Thermal Conductivity of Liquid*0.74*((Prandtl Number/(0.861+Prandtl Number))^0.25)*Rayleigh Number(t)^0.25

Heat transfer between concentric spheres given both diameters Formula

Heat transfer = (Effective Thermal Conductivity*pi*(Inside Temperature-Outside Temperature))*((Outside Diameter*Inside Diameter)/Length)
q = (k_Eff*pi*(t_i-t_o))*((D_o*D_i)/L)

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 Heat transfer between concentric spheres given both diameters?

Heat transfer between concentric spheres given both diameters calculator uses Heat transfer = (Effective Thermal Conductivity*pi*(Inside Temperature-Outside Temperature))*((Outside Diameter*Inside Diameter)/Length) to calculate the Heat transfer, The Heat transfer between concentric spheres given both diameters formula 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 is denoted by q symbol.

How to calculate Heat transfer between concentric spheres given both diameters using this online calculator? To use this online calculator for Heat transfer between concentric spheres given both diameters, enter Effective Thermal Conductivity (k_Eff), Inside Temperature (t_i), Outside Temperature (t_o), Outside Diameter (D_o), Inside Diameter (D_i) & Length (L) and hit the calculate button. Here is how the Heat transfer between concentric spheres given both diameters calculation can be explained with given input values -> 0.20944 = (10*pi*(353-273))*((0.05*0.005)/3).

FAQ

What is Heat transfer between concentric spheres given both diameters?

The Heat transfer between concentric spheres given both diameters formula 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 and is represented as q = (k_Eff*pi*(t_i-t_o))*((D_o*D_i)/L) or Heat transfer = (Effective Thermal Conductivity*pi*(Inside Temperature-Outside Temperature))*((Outside Diameter*Inside Diameter)/Length). Effective Thermal Conductivity is the rate of heat transfer through a unit thickness of the material per unit area per unit temperature difference, Inside Temperature is the temperature of air present inside, Outside Temperature is the temperature of air present outside, Outside Diameter is the diameter of the outside surface, Inside diameter is the diameter of the inside surface & Length is the measurement or extent of something from end to end.

How to calculate Heat transfer between concentric spheres given both diameters?

The Heat transfer between concentric spheres given both diameters formula 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 is calculated using Heat transfer = (Effective Thermal Conductivity*pi*(Inside Temperature-Outside Temperature))*((Outside Diameter*Inside Diameter)/Length). To calculate Heat transfer between concentric spheres given both diameters, you need Effective Thermal Conductivity (k_Eff), Inside Temperature (t_i), Outside Temperature (t_o), Outside Diameter (D_o), Inside Diameter (D_i) & Length (L). With our tool, you need to enter the respective value for Effective Thermal Conductivity, Inside Temperature, Outside Temperature, Outside Diameter, Inside Diameter & Length 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 Heat transfer?

In this formula, Heat transfer uses Effective Thermal Conductivity, Inside Temperature, Outside Temperature, Outside Diameter, Inside Diameter & Length. We can use 1 other way(s) to calculate the same, which is/are as follows -

Heat transfer = (4*pi*Effective Thermal Conductivity*Inside Radius*Outer Radius*Temperature Difference)/(Outer Radius-Inside Radius)

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