Thermal Resistance of Spherical Composite Wall of 2 Layers in Series with Convection Calculator

✖Inner Convection Heat Transfer Coefficient is the coefficient of convection heat transfer at the inside surface of the body or object or wall, etc.ⓘ Inner Convection Heat Transfer Coefficient [h_i]			+10% -10%
✖Radius of 1st Concentric Sphere is the distance from the center of the concentric spheres to any point on the first concentric sphere or radius of the first sphere.ⓘ Radius of 1st Concentric Sphere [r₁]			+10% -10%
✖Thermal Conductivity of 1st body is expressed as amount of heat flows per unit time through a unit area of first body with temperature gradient of one degree per unit distance.ⓘ Thermal Conductivity of 1st Body [k₁]			+10% -10%
✖Radius of 2nd Concentric Sphere is the distance from the center of the concentric spheres to any point on the second concentric sphere or radius of the second sphere.ⓘ Radius of 2nd Concentric Sphere [r₂]			+10% -10%
✖Thermal Conductivity of 2nd body is expressed as amount of heat flows per unit time through a unit area of second body with temperature gradient of one degree per unit distance.ⓘ Thermal Conductivity of 2nd Body [k₂]			+10% -10%
✖Radius of 3rd Concentric Sphere is the distance from the center of the concentric spheres to any point on the third concentric sphere or radius of the third sphere.ⓘ Radius of 3rd Concentric Sphere [r₃]			+10% -10%
✖External Convection Heat Transfer Coefficient is the proportionality constant between the heat flux and the thermodynamic driving force for the flow of heat in case of convective heat transfer.ⓘ External Convection Heat Transfer Coefficient [h_o]			+10% -10%

✖Thermal resistance of sphere is a heat property and a measurement of a temperature difference by which an object or material resists a heat flow.ⓘ Thermal Resistance of Spherical Composite Wall of 2 Layers in Series with Convection [R_th]

⎘ Copy

👎

Formula

✖

Thermal Resistance of Spherical Composite Wall of 2 Layers in Series with Convection

Formula

`"R"_{"th"} = 1/(4*pi)*(1/("h"_{"i"}*"r"_{"1"}^2)+1/"k"_{"1"}*(1/"r"_{"1"}-1/"r"_{"2"})+1/"k"_{"2"}*(1/"r"_{"2"}-1/"r"_{"3"})+1/("h"_{"o"}*"r"_{"3"}^2))`

Example

`"7.319773K/W"=1/(4*pi)*(1/("0.001038W/m²*K"*("5m")^2)+1/"0.001W/(m*K)"*(1/"5m"-1/"6m")+1/"0.002W/(m*K)"*(1/"6m"-1/"7m")+1/("0.002486W/m²*K"*("7m")^2))`

Calculator

LaTeX

Reset

👍

Download Conduction in Sphere Formulas PDF

Thermal Resistance of Spherical Composite Wall of 2 Layers in Series with Convection Solution

STEP 0: Pre-Calculation Summary

Formula Used

Thermal Resistance of Sphere = 1/(4*pi)*(1/(Inner Convection Heat Transfer Coefficient*Radius of 1st Concentric Sphere^2)+1/Thermal Conductivity of 1st Body*(1/Radius of 1st Concentric Sphere-1/Radius of 2nd Concentric Sphere)+1/Thermal Conductivity of 2nd Body*(1/Radius of 2nd Concentric Sphere-1/Radius of 3rd Concentric Sphere)+1/(External Convection Heat Transfer Coefficient*Radius of 3rd Concentric Sphere^2))
R_th = 1/(4*pi)*(1/(h_i*r₁^2)+1/k₁*(1/r₁-1/r₂)+1/k₂*(1/r₂-1/r₃)+1/(h_o*r₃^2))
This formula uses 1 Constants, 8 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Thermal Resistance of Sphere - (Measured in Kelvin per Watt) - Thermal resistance of sphere is a heat property and a measurement of a temperature difference by which an object or material resists a heat flow.
Inner Convection Heat Transfer Coefficient - (Measured in Watt per Square Meter per Kelvin) - Inner Convection Heat Transfer Coefficient is the coefficient of convection heat transfer at the inside surface of the body or object or wall, etc.
Radius of 1st Concentric Sphere - (Measured in Meter) - Radius of 1st Concentric Sphere is the distance from the center of the concentric spheres to any point on the first concentric sphere or radius of the first sphere.
Thermal Conductivity of 1st Body - (Measured in Watt per Meter per K) - Thermal Conductivity of 1st body is expressed as amount of heat flows per unit time through a unit area of first body with temperature gradient of one degree per unit distance.
Radius of 2nd Concentric Sphere - (Measured in Meter) - Radius of 2nd Concentric Sphere is the distance from the center of the concentric spheres to any point on the second concentric sphere or radius of the second sphere.
Thermal Conductivity of 2nd Body - (Measured in Watt per Meter per K) - Thermal Conductivity of 2nd body is expressed as amount of heat flows per unit time through a unit area of second body with temperature gradient of one degree per unit distance.
Radius of 3rd Concentric Sphere - (Measured in Meter) - Radius of 3rd Concentric Sphere is the distance from the center of the concentric spheres to any point on the third concentric sphere or radius of the third sphere.
External Convection Heat Transfer Coefficient - (Measured in Watt per Square Meter per Kelvin) - External Convection Heat Transfer Coefficient is the proportionality constant between the heat flux and the thermodynamic driving force for the flow of heat in case of convective heat transfer.

STEP 1: Convert Input(s) to Base Unit

Inner Convection Heat Transfer Coefficient: 0.001038 Watt per Square Meter per Kelvin --> 0.001038 Watt per Square Meter per Kelvin No Conversion Required
Radius of 1st Concentric Sphere: 5 Meter --> 5 Meter No Conversion Required
Thermal Conductivity of 1st Body: 0.001 Watt per Meter per K --> 0.001 Watt per Meter per K No Conversion Required
Radius of 2nd Concentric Sphere: 6 Meter --> 6 Meter No Conversion Required
Thermal Conductivity of 2nd Body: 0.002 Watt per Meter per K --> 0.002 Watt per Meter per K No Conversion Required
Radius of 3rd Concentric Sphere: 7 Meter --> 7 Meter No Conversion Required
External Convection Heat Transfer Coefficient: 0.002486 Watt per Square Meter per Kelvin --> 0.002486 Watt per Square Meter per Kelvin No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

R_th = 1/(4*pi)*(1/(h_i*r₁^2)+1/k₁*(1/r₁-1/r₂)+1/k₂*(1/r₂-1/r₃)+1/(h_o*r₃^2)) --> 1/(4*pi)*(1/(0.001038*5^2)+1/0.001*(1/5-1/6)+1/0.002*(1/6-1/7)+1/(0.002486*7^2))

Evaluating ... ...

R_th = 7.3197727941082

STEP 3: Convert Result to Output's Unit

7.3197727941082 Kelvin per Watt --> No Conversion Required

FINAL ANSWER

7.3197727941082 ≈ 7.319773 Kelvin per Watt <-- Thermal Resistance of Sphere

(Calculation completed in 00.020 seconds)

You are here -

Home » Physics » Heat and Mass Transfer » Conduction » Conduction in Sphere » Thermal Resistance of Spherical Composite Wall of 2 Layers in Series with Convection

Credits

Created by Sai Venkata Phanindra Chary Arendra

Vallurupalli Nageswara Rao Vignana Jyothi Institute of Engineering and Technology (VNRVJIET), Hyderabad

Sai Venkata Phanindra Chary Arendra has created this Calculator and 100+ more calculators!

Verified by Maiarutselvan V

PSG College of Technology (PSGCT), Coimbatore

Maiarutselvan V has verified this Calculator and 300+ more calculators!

< 11 Conduction in Sphere Calculators

Total Thermal Resistance of Spherical wall of 3 Layers without Convection

Go Sphere Thermal Resistance = (Radius of 2nd Concentric Sphere-Radius of 1st Concentric Sphere)/(4*pi*Thermal Conductivity of 1st Body*Radius of 1st Concentric Sphere*Radius of 2nd Concentric Sphere)+(Radius of 3rd Concentric Sphere-Radius of 2nd Concentric Sphere)/(4*pi*Thermal Conductivity of 2nd Body*Radius of 2nd Concentric Sphere*Radius of 3rd Concentric Sphere)+(Radius of 4th Concentric Sphere-Radius of 3rd Concentric Sphere)/(4*pi*Thermal Conductivity of 3rd Body*Radius of 3rd Concentric Sphere*Radius of 4th Concentric Sphere)

Total Thermal Resistance of Spherical Wall of 2 Layers without Convection

Go Sphere Thermal Resistance Without Convection = (Radius of 2nd Concentric Sphere-Radius of 1st Concentric Sphere)/(4*pi*Thermal Conductivity of 1st Body*Radius of 1st Concentric Sphere*Radius of 2nd Concentric Sphere)+(Radius of 3rd Concentric Sphere-Radius of 2nd Concentric Sphere)/(4*pi*Thermal Conductivity of 2nd Body*Radius of 2nd Concentric Sphere*Radius of 3rd Concentric Sphere)

Thermal Resistance of Spherical Composite Wall of 2 Layers in Series with Convection

Go Thermal Resistance of Sphere = 1/(4*pi)*(1/(Inner Convection Heat Transfer Coefficient*Radius of 1st Concentric Sphere^2)+1/Thermal Conductivity of 1st Body*(1/Radius of 1st Concentric Sphere-1/Radius of 2nd Concentric Sphere)+1/Thermal Conductivity of 2nd Body*(1/Radius of 2nd Concentric Sphere-1/Radius of 3rd Concentric Sphere)+1/(External Convection Heat Transfer Coefficient*Radius of 3rd Concentric Sphere^2))

Total Thermal Resistance of Spherical Wall with Convection on Both Side

Go Sphere Thermal Resistance = 1/(4*pi*Radius of 1st Concentric Sphere^2*Inner Convection Heat Transfer Coefficient)+(Radius of 2nd Concentric Sphere-Radius of 1st Concentric Sphere)/(4*pi*Thermal Conductivity*Radius of 1st Concentric Sphere*Radius of 2nd Concentric Sphere)+1/(4*pi*Radius of 2nd Concentric Sphere^2*External Convection Heat Transfer Coefficient)

Heat Flow Rate through Spherical Composite Wall of 2 Layers in Series

Go Heat Flow Rate of wall of 2 layers = (Inner Surface Temperature-Outer Surface Temperature)/(1/(4*pi*Thermal Conductivity of 1st Body)*(1/Radius of 1st Concentric Sphere-1/Radius of 2nd Concentric Sphere)+1/(4*pi*Thermal Conductivity of 2nd Body)*(1/Radius of 2nd Concentric Sphere-1/Radius of 3rd Concentric Sphere))

Heat Flow Rate through Spherical Wall

Go Heat Flow Rate = (Inner Surface Temperature-Outer Surface Temperature)/((Radius of 2nd Concentric Sphere-Radius of 1st Concentric Sphere)/(4*pi*Thermal Conductivity*Radius of 1st Concentric Sphere*Radius of 2nd Concentric Sphere))

Thermal Resistance of Spherical Wall

Go Thermal Resistance of Sphere Without Convection = (Radius of 2nd Concentric Sphere-Radius of 1st Concentric Sphere)/(4*pi*Thermal Conductivity*Radius of 1st Concentric Sphere*Radius of 2nd Concentric Sphere)

Thickness of Spherical Wall to Maintain given Temperature Difference

Go Thickness Of Conduction Sphere = 1/(1/Radius of Sphere-(4*pi*Thermal Conductivity*(Inner Surface Temperature-Outer Surface Temperature))/Heat Flow Rate)-Radius of Sphere

Outer Surface Temperature of Spherical Wall

Go Outer Surface Temperature = Inner Surface Temperature-Heat Flow Rate/(4*pi*Thermal Conductivity)*(1/Radius of 1st Concentric Sphere-1/Radius of 2nd Concentric Sphere)

Inner Surface Temperature of Spherical Wall

Go Inner Surface Temperature = Outer Surface Temperature+Heat Flow Rate/(4*pi*Thermal Conductivity)*(1/Radius of 1st Concentric Sphere-1/Radius of 2nd Concentric Sphere)

Convection Resistance for Spherical Layer

Go Thermal Resistance of Sphere Without Convection = 1/(4*pi*Radius of Sphere^2*Convection Heat Transfer Coefficient)

Thermal Resistance of Spherical Composite Wall of 2 Layers in Series with Convection Formula

What is convection?

Convection is the transfer of heat due to the bulk movement of molecules within fluids, including molten rock. Convection includes sub-mechanisms of advection and diffusion. Convection cannot take place in most solids because neither bulk current flows nor significant diffusion of matter can take place.

How to Calculate Thermal Resistance of Spherical Composite Wall of 2 Layers in Series with Convection?

Thermal Resistance of Spherical Composite Wall of 2 Layers in Series with Convection calculator uses Thermal Resistance of Sphere = 1/(4*pi)*(1/(Inner Convection Heat Transfer Coefficient*Radius of 1st Concentric Sphere^2)+1/Thermal Conductivity of 1st Body*(1/Radius of 1st Concentric Sphere-1/Radius of 2nd Concentric Sphere)+1/Thermal Conductivity of 2nd Body*(1/Radius of 2nd Concentric Sphere-1/Radius of 3rd Concentric Sphere)+1/(External Convection Heat Transfer Coefficient*Radius of 3rd Concentric Sphere^2)) to calculate the Thermal Resistance of Sphere, Thermal Resistance of Spherical Composite Wall of 2 layers in Series with Convectionformula is defined as the total thermal resistance of a composite spherical wall of 2 layers with convection on either side. Thermal Resistance of Sphere is denoted by R_th symbol.

How to calculate Thermal Resistance of Spherical Composite Wall of 2 Layers in Series with Convection using this online calculator? To use this online calculator for Thermal Resistance of Spherical Composite Wall of 2 Layers in Series with Convection, enter Inner Convection Heat Transfer Coefficient (h_i), Radius of 1st Concentric Sphere (r₁), Thermal Conductivity of 1st Body (k₁), Radius of 2nd Concentric Sphere (r₂), Thermal Conductivity of 2nd Body (k₂), Radius of 3rd Concentric Sphere (r₃) & External Convection Heat Transfer Coefficient (h_o) and hit the calculate button. Here is how the Thermal Resistance of Spherical Composite Wall of 2 Layers in Series with Convection calculation can be explained with given input values -> 7.319773 = 1/(4*pi)*(1/(0.001038*5^2)+1/0.001*(1/5-1/6)+1/0.002*(1/6-1/7)+1/(0.002486*7^2)).

FAQ

What is Thermal Resistance of Spherical Composite Wall of 2 Layers in Series with Convection?

Thermal Resistance of Spherical Composite Wall of 2 layers in Series with Convectionformula is defined as the total thermal resistance of a composite spherical wall of 2 layers with convection on either side and is represented as R_th = 1/(4*pi)*(1/(h_i*r₁^2)+1/k₁*(1/r₁-1/r₂)+1/k₂*(1/r₂-1/r₃)+1/(h_o*r₃^2)) or Thermal Resistance of Sphere = 1/(4*pi)*(1/(Inner Convection Heat Transfer Coefficient*Radius of 1st Concentric Sphere^2)+1/Thermal Conductivity of 1st Body*(1/Radius of 1st Concentric Sphere-1/Radius of 2nd Concentric Sphere)+1/Thermal Conductivity of 2nd Body*(1/Radius of 2nd Concentric Sphere-1/Radius of 3rd Concentric Sphere)+1/(External Convection Heat Transfer Coefficient*Radius of 3rd Concentric Sphere^2)). Inner Convection Heat Transfer Coefficient is the coefficient of convection heat transfer at the inside surface of the body or object or wall, etc, Radius of 1st Concentric Sphere is the distance from the center of the concentric spheres to any point on the first concentric sphere or radius of the first sphere, Thermal Conductivity of 1st body is expressed as amount of heat flows per unit time through a unit area of first body with temperature gradient of one degree per unit distance, Radius of 2nd Concentric Sphere is the distance from the center of the concentric spheres to any point on the second concentric sphere or radius of the second sphere, Thermal Conductivity of 2nd body is expressed as amount of heat flows per unit time through a unit area of second body with temperature gradient of one degree per unit distance, Radius of 3rd Concentric Sphere is the distance from the center of the concentric spheres to any point on the third concentric sphere or radius of the third sphere & External Convection Heat Transfer Coefficient is the proportionality constant between the heat flux and the thermodynamic driving force for the flow of heat in case of convective heat transfer.

How to calculate Thermal Resistance of Spherical Composite Wall of 2 Layers in Series with Convection?

Thermal Resistance of Spherical Composite Wall of 2 layers in Series with Convectionformula is defined as the total thermal resistance of a composite spherical wall of 2 layers with convection on either side is calculated using Thermal Resistance of Sphere = 1/(4*pi)*(1/(Inner Convection Heat Transfer Coefficient*Radius of 1st Concentric Sphere^2)+1/Thermal Conductivity of 1st Body*(1/Radius of 1st Concentric Sphere-1/Radius of 2nd Concentric Sphere)+1/Thermal Conductivity of 2nd Body*(1/Radius of 2nd Concentric Sphere-1/Radius of 3rd Concentric Sphere)+1/(External Convection Heat Transfer Coefficient*Radius of 3rd Concentric Sphere^2)). To calculate Thermal Resistance of Spherical Composite Wall of 2 Layers in Series with Convection, you need Inner Convection Heat Transfer Coefficient (h_i), Radius of 1st Concentric Sphere (r₁), Thermal Conductivity of 1st Body (k₁), Radius of 2nd Concentric Sphere (r₂), Thermal Conductivity of 2nd Body (k₂), Radius of 3rd Concentric Sphere (r₃) & External Convection Heat Transfer Coefficient (h_o). With our tool, you need to enter the respective value for Inner Convection Heat Transfer Coefficient, Radius of 1st Concentric Sphere, Thermal Conductivity of 1st Body, Radius of 2nd Concentric Sphere, Thermal Conductivity of 2nd Body, Radius of 3rd Concentric Sphere & External Convection Heat Transfer Coefficient and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

Home

FREE PDFs

🔍 Search