Thickness of Spherical Wall to Maintain given Temperature Difference Calculator

✖Radius Of Sphere is the distance from the center of the concentric circles to any point on the first sphere.ⓘ Radius of Sphere [r]			+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%
✖Inner Surface Temperature is the temperature at the inner surface of the wall either plane wall or cylindrical wall or spherical wall, etc.ⓘ Inner Surface Temperature [T_i]			+10% -10%
✖Outer Surface Temperature is the temperature at the outer surface of the wall either plane wall or cylindrical wall or spherical wall, etc.ⓘ Outer Surface Temperature [T_o]			+10% -10%
✖Heat Flow Rate is the amount of heat that is transferred per unit of time in some material, usually measured in watt. Heat is the flow of thermal energy driven by thermal non-equilibrium.ⓘ Heat Flow Rate [Q]			+10% -10%

✖Thickness of Conduction Sphere is the distance through an object.ⓘ Thickness of Spherical Wall to Maintain given Temperature Difference [t]

⎘ Copy

👎

Formula

✖

Thickness of Spherical Wall to Maintain given Temperature Difference

Formula

`"t" = 1/(1/"r"-(4*pi*"k"*("T"_{"i"}-"T"_{"o"}))/"Q")-"r"`

Example

`"0.069963m"=1/(1/"1.4142m"-(4*pi*"2W/(m*K)"*("305K"-"300K"))/"3769.9111843W")-"1.4142m"`

Calculator

LaTeX

Reset

👍

Download Conduction in Sphere Formulas PDF

Thickness of Spherical Wall to Maintain given Temperature Difference Solution

STEP 0: Pre-Calculation Summary

Formula Used

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
t = 1/(1/r-(4*pi*k*(T_i-T_o))/Q)-r
This formula uses 1 Constants, 6 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Thickness Of Conduction Sphere - (Measured in Meter) - Thickness of Conduction Sphere is the distance through an object.
Radius of Sphere - (Measured in Meter) - Radius Of Sphere is the distance from the center of the concentric circles to any point on 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.
Inner Surface Temperature - (Measured in Kelvin) - Inner Surface Temperature is the temperature at the inner surface of the wall either plane wall or cylindrical wall or spherical wall, etc.
Outer Surface Temperature - (Measured in Kelvin) - Outer Surface Temperature is the temperature at the outer surface of the wall either plane wall or cylindrical wall or spherical wall, etc.
Heat Flow Rate - (Measured in Watt) - Heat Flow Rate is the amount of heat that is transferred per unit of time in some material, usually measured in watt. Heat is the flow of thermal energy driven by thermal non-equilibrium.

STEP 1: Convert Input(s) to Base Unit

Radius of Sphere: 1.4142 Meter --> 1.4142 Meter No Conversion Required
Thermal Conductivity: 2 Watt per Meter per K --> 2 Watt per Meter per K No Conversion Required
Inner Surface Temperature: 305 Kelvin --> 305 Kelvin No Conversion Required
Outer Surface Temperature: 300 Kelvin --> 300 Kelvin No Conversion Required
Heat Flow Rate: 3769.9111843 Watt --> 3769.9111843 Watt No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

t = 1/(1/r-(4*pi*k*(T_i-T_o))/Q)-r --> 1/(1/1.4142-(4*pi*2*(305-300))/3769.9111843)-1.4142

Evaluating ... ...

t = 0.0699634657768651

STEP 3: Convert Result to Output's Unit

0.0699634657768651 Meter --> No Conversion Required

FINAL ANSWER

0.0699634657768651 ≈ 0.069963 Meter <-- Thickness Of Conduction Sphere

(Calculation completed in 00.004 seconds)

You are here -

Home » Physics » Heat and Mass Transfer » Conduction » Conduction in Sphere » Thickness of Spherical Wall to Maintain given Temperature Difference

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)

Thickness of Spherical Wall to Maintain given Temperature Difference Formula

What is steady state heat conduction?

Steady-state conduction is the form of conduction that happens when the temperature difference(s) driving the conduction are constant, so that (after an equilibration time), the spatial distribution of temperatures (temperature field) in the conducting object does not change any further.

How to Calculate Thickness of Spherical Wall to Maintain given Temperature Difference?

Thickness of Spherical Wall to Maintain given Temperature Difference calculator uses 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 to calculate the Thickness Of Conduction Sphere, The Thickness of spherical wall to maintain given temperature difference formula is defined as the thickness of the hollow spherical wall required to maintain a given temperature difference across it when the heat flow rate, inner radius and thermal conductivity are known. Thickness Of Conduction Sphere is denoted by t symbol.

How to calculate Thickness of Spherical Wall to Maintain given Temperature Difference using this online calculator? To use this online calculator for Thickness of Spherical Wall to Maintain given Temperature Difference, enter Radius of Sphere (r), Thermal Conductivity (k), Inner Surface Temperature (T_i), Outer Surface Temperature (T_o) & Heat Flow Rate (Q) and hit the calculate button. Here is how the Thickness of Spherical Wall to Maintain given Temperature Difference calculation can be explained with given input values -> 0.069963 = 1/(1/1.4142-(4*pi*2*(305-300))/3769.9111843)-1.4142.

FAQ

What is Thickness of Spherical Wall to Maintain given Temperature Difference?

The Thickness of spherical wall to maintain given temperature difference formula is defined as the thickness of the hollow spherical wall required to maintain a given temperature difference across it when the heat flow rate, inner radius and thermal conductivity are known and is represented as t = 1/(1/r-(4*pi*k*(T_i-T_o))/Q)-r or 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. Radius Of Sphere is the distance from the center of the concentric circles to any point on 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, Inner Surface Temperature is the temperature at the inner surface of the wall either plane wall or cylindrical wall or spherical wall, etc, Outer Surface Temperature is the temperature at the outer surface of the wall either plane wall or cylindrical wall or spherical wall, etc & Heat Flow Rate is the amount of heat that is transferred per unit of time in some material, usually measured in watt. Heat is the flow of thermal energy driven by thermal non-equilibrium.

How to calculate Thickness of Spherical Wall to Maintain given Temperature Difference?

The Thickness of spherical wall to maintain given temperature difference formula is defined as the thickness of the hollow spherical wall required to maintain a given temperature difference across it when the heat flow rate, inner radius and thermal conductivity are known is calculated using 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. To calculate Thickness of Spherical Wall to Maintain given Temperature Difference, you need Radius of Sphere (r), Thermal Conductivity (k), Inner Surface Temperature (T_i), Outer Surface Temperature (T_o) & Heat Flow Rate (Q). With our tool, you need to enter the respective value for Radius of Sphere, Thermal Conductivity, Inner Surface Temperature, Outer Surface Temperature & Heat Flow Rate 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