Thermal Resistance of Spherical Wall Calculator

✖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%
✖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 is rate of heat passes through specified material, expressed as amount of heat flows per unit time through a unit area with a temperature gradient of one degree per unit distance.ⓘ Thermal Conductivity [k]			+10% -10%

✖Thermal resistance of sphere without convection 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 Wall [r_th]

⎘ Copy

👎

Formula

✖

Thermal Resistance of Spherical Wall

Formula

`"r"_{"th"} = ("r"_{"2"}-"r"_{"1"})/(4*pi*"k"*"r"_{"1"}*"r"_{"2"})`

Example

`"0.001326K/W"=("6m"-"5m")/(4*pi*"2W/(m*K)"*"5m"*"6m")`

Calculator

LaTeX

Reset

👍

Download Conduction in Sphere Formulas PDF PDF Image

Thermal Resistance of Spherical Wall Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)
r_th = (r₂-r₁)/(4*pi*k*r₁*r₂)
This formula uses 1 Constants, 4 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Thermal Resistance of Sphere Without Convection - (Measured in Kelvin per Watt) - Thermal resistance of sphere without convection is a heat property and a measurement of a temperature difference by which an object or material resists a heat flow.
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.
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 - (Measured in Watt per Meter per K) - Thermal Conductivity is rate of heat passes through specified material, expressed as amount of heat flows per unit time through a unit area with a temperature gradient of one degree per unit distance.

STEP 1: Convert Input(s) to Base Unit

Radius of 2nd Concentric Sphere: 6 Meter --> 6 Meter No Conversion Required
Radius of 1st Concentric Sphere: 5 Meter --> 5 Meter No Conversion Required
Thermal Conductivity: 2 Watt per Meter per K --> 2 Watt per Meter per K No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r_th = (r₂-r₁)/(4*pi*k*r₁*r₂) --> (6-5)/(4*pi*2*5*6)

Evaluating ... ...

r_th = 0.00132629119243246

STEP 3: Convert Result to Output's Unit

0.00132629119243246 Kelvin per Watt --> No Conversion Required

FINAL ANSWER

0.00132629119243246 ≈ 0.001326 Kelvin per Watt <-- Thermal Resistance of Sphere Without Convection

(Calculation completed in 00.004 seconds)

You are here -

Home » Physics » Heat and Mass Transfer » Conduction » Conduction in Sphere » Thermal Resistance of Spherical Wall

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 Sanjay Krishna

Amrita School of Engineering (ASE), Vallikavu

Sanjay Krishna has verified this Calculator and 200+ 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)

< 13 Basics of Modes of Heat Transfer Calculators

Thermal Resistance of Spherical Wall

Radiation Thermal Resistance

Go Thermal Resistance = 1/(Emissivity*[Stefan-BoltZ]*Base Area*(Temperature of Surface 1+Temperature of Surface 2)*(((Temperature of Surface 1)^2)+((Temperature of Surface 2)^2)))

Radial Heat Flowing through Cylinder

Go Heat = Thermal Conductivity*2*pi*Temperature Difference*Length of Cylinder/(ln(Outer Radius of Cylinder/Inner Radius of Cylinder))

Heat Transfer through Plane Wall or Surface

Go Heat Flow Rate = -Thermal Conductivity*Cross Sectional Area*(Outside Temperature-Inside Temperature)/Width of Plane Surface

Radiative Heat Transfer

Go Heat = [Stefan-BoltZ]*Body Surface Area*Geometric View Factor*(Temperature of Surface 1^4-Temperature of Surface 2^4)

Rate of Convective Heat Transfer

Go Heat Flow Rate = Heat Transfer Coefficient*Exposed Surface Area*(Surface Temperature-Ambient Air Temperature)

Total Emissive Power of Radiating Body

Go Emissive Power per Unit Area = (Emissivity*(Effective Radiating Temperature)^4)*[Stefan-BoltZ]

Thermal Diffusivity

Go Thermal Diffusivity = Thermal Conductivity/(Density*Specific Heat Capacity)

Radiosity

Go Radiosity = Energy Leaving Surface/(Body Surface Area*Time in seconds)

Thermal Resistance in Convection Heat Transfer

Go Thermal Resistance = 1/(Exposed Surface Area*Co-efficient of Convective Heat Transfer)

Overall Heat Transfer based on Thermal Resistance

Go Overall Heat Transfer = Overall Temperature Difference/Total Thermal Resistance

Temperature Difference using Thermal Analogy to Ohm's Law

Go Temperature Difference = Heat Flow Rate*Thermal Resistance

Ohm's Law

Go Voltage = Electric Current*Resistance

Thermal Resistance of Spherical Wall Formula

What is thermal resistance?

Thermal resistance is a heat property and a measurement of a temperature difference by which an object or material resists a heat flow. Thermal resistance is the reciprocal of thermal conductance

How to Calculate Thermal Resistance of Spherical Wall?

Thermal Resistance of Spherical Wall calculator uses 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) to calculate the Thermal Resistance of Sphere Without Convection, The Thermal Resistance of Spherical Wall formula is the thermal resistance offered by a spherical wall when the inner and outer radii of the wall and thermal conductivity of the wall material are known. Thermal Resistance of Sphere Without Convection is denoted by r_th symbol.

How to calculate Thermal Resistance of Spherical Wall using this online calculator? To use this online calculator for Thermal Resistance of Spherical Wall, enter Radius of 2nd Concentric Sphere (r₂), Radius of 1st Concentric Sphere (r₁) & Thermal Conductivity (k) and hit the calculate button. Here is how the Thermal Resistance of Spherical Wall calculation can be explained with given input values -> 0.001326 = (6-5)/(4*pi*2*5*6).

FAQ

What is Thermal Resistance of Spherical Wall?

The Thermal Resistance of Spherical Wall formula is the thermal resistance offered by a spherical wall when the inner and outer radii of the wall and thermal conductivity of the wall material are known and is represented as r_th = (r₂-r₁)/(4*pi*k*r₁*r₂) or 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). 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 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 is rate of heat passes through specified material, expressed as amount of heat flows per unit time through a unit area with a temperature gradient of one degree per unit distance.

How to calculate Thermal Resistance of Spherical Wall?

The Thermal Resistance of Spherical Wall formula is the thermal resistance offered by a spherical wall when the inner and outer radii of the wall and thermal conductivity of the wall material are known is calculated using 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). To calculate Thermal Resistance of Spherical Wall, you need Radius of 2nd Concentric Sphere (r₂), Radius of 1st Concentric Sphere (r₁) & Thermal Conductivity (k). With our tool, you need to enter the respective value for Radius of 2nd Concentric Sphere, Radius of 1st Concentric Sphere & Thermal Conductivity 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 Thermal Resistance of Sphere Without Convection?

In this formula, Thermal Resistance of Sphere Without Convection uses Radius of 2nd Concentric Sphere, Radius of 1st Concentric Sphere & Thermal Conductivity. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

Home

FREE PDFs

🔍 Search