Total Thermal Resistance of Spherical Wall with Convection on Both Side Calculator

✖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%
✖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 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 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%
✖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%

✖Sphere thermal resistance is a heat property and a measurement of a temperature difference by which an object or material resists a heat flow.ⓘ Total Thermal Resistance of Spherical Wall with Convection on Both Side [R_tr]

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Total Thermal Resistance of Spherical Wall with Convection on Both Side Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)
R_tr = 1/(4*pi*r₁^2*h_i)+(r₂-r₁)/(4*pi*k*r₁*r₂)+1/(4*pi*r₂^2*h_o)
This formula uses 1 Constants, 6 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Sphere Thermal Resistance - (Measured in Kelvin per Watt) - Sphere thermal resistance is a heat property and a measurement of a temperature difference by which an object or material resists a heat flow.
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.
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 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 - (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.
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

Radius of 1st Concentric Sphere: 5 Meter --> 5 Meter No Conversion Required
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 2nd Concentric Sphere: 6 Meter --> 6 Meter No Conversion Required
Thermal Conductivity: 2 Watt per Meter per K --> 2 Watt per Meter per K 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_tr = 1/(4*pi*r₁^2*h_i)+(r₂-r₁)/(4*pi*k*r₁*r₂)+1/(4*pi*r₂^2*h_o) --> 1/(4*pi*5^2*0.001038)+(6-5)/(4*pi*2*5*6)+1/(4*pi*6^2*0.002486)

Evaluating ... ...

R_tr = 3.95706902213782

STEP 3: Convert Result to Output's Unit

3.95706902213782 Kelvin per Watt --> No Conversion Required

FINAL ANSWER

3.95706902213782 ≈ 3.957069 Kelvin per Watt <-- Sphere Thermal Resistance

(Calculation completed in 00.006 seconds)

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Home » Physics » Heat and Mass Transfer » Conduction » Mechanical » Conduction in Sphere » Total Thermal Resistance of Spherical Wall with Convection on Both Side

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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!

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< Conduction in Sphere Calculators

Total Thermal Resistance of Spherical wall of 3 Layers without Convection

LaTeX 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

LaTeX 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)

Total Thermal Resistance of Spherical Wall with Convection on Both Side

LaTeX 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)

Convection Resistance for Spherical Layer

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

Total Thermal Resistance of Spherical Wall with Convection on Both Side Formula

LaTeX Go

What is a spherical wall?

A spherical wall is a hollow sphere, i.e. what is left of a sphere with radius r2, when a sphere with radius r1 has been removed from it, the two spheres having the same centre and r1 < r2.

How to Calculate Total Thermal Resistance of Spherical Wall with Convection on Both Side?

Total Thermal Resistance of Spherical Wall with Convection on Both Side calculator uses 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) to calculate the Sphere Thermal Resistance, The Total Thermal Resistance of Spherical Wall with Convection on both side formula is the sum of the resistances due to convection on either side and conduction through the spherical wall. Sphere Thermal Resistance is denoted by R_tr symbol.

How to calculate Total Thermal Resistance of Spherical Wall with Convection on Both Side using this online calculator? To use this online calculator for Total Thermal Resistance of Spherical Wall with Convection on Both Side, enter Radius of 1st Concentric Sphere (r₁), Inner Convection Heat Transfer Coefficient (h_i), Radius of 2nd Concentric Sphere (r₂), Thermal Conductivity (k) & External Convection Heat Transfer Coefficient (h_o) and hit the calculate button. Here is how the Total Thermal Resistance of Spherical Wall with Convection on Both Side calculation can be explained with given input values -> 3.957069 = 1/(4*pi*5^2*0.001038)+(6-5)/(4*pi*2*5*6)+1/(4*pi*6^2*0.002486).

FAQ

What is Total Thermal Resistance of Spherical Wall with Convection on Both Side?

The Total Thermal Resistance of Spherical Wall with Convection on both side formula is the sum of the resistances due to convection on either side and conduction through the spherical wall and is represented as R_tr = 1/(4*pi*r₁^2*h_i)+(r₂-r₁)/(4*pi*k*r₁*r₂)+1/(4*pi*r₂^2*h_o) or 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). 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, 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 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 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 & 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 Total Thermal Resistance of Spherical Wall with Convection on Both Side?

The Total Thermal Resistance of Spherical Wall with Convection on both side formula is the sum of the resistances due to convection on either side and conduction through the spherical wall is calculated using 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). To calculate Total Thermal Resistance of Spherical Wall with Convection on Both Side, you need Radius of 1st Concentric Sphere (r₁), Inner Convection Heat Transfer Coefficient (h_i), Radius of 2nd Concentric Sphere (r₂), Thermal Conductivity (k) & External Convection Heat Transfer Coefficient (h_o). With our tool, you need to enter the respective value for Radius of 1st Concentric Sphere, Inner Convection Heat Transfer Coefficient, Radius of 2nd Concentric Sphere, Thermal Conductivity & 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.

How many ways are there to calculate Sphere Thermal Resistance?

In this formula, Sphere Thermal Resistance uses Radius of 1st Concentric Sphere, Inner Convection Heat Transfer Coefficient, Radius of 2nd Concentric Sphere, Thermal Conductivity & External Convection Heat Transfer Coefficient. We can use 1 other way(s) to calculate the same, which is/are as follows -

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)

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