Total Thermal Resistance of Spherical wall of 3 Layers without Convection 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 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 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%
✖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 4th Concentric Sphere is the distance from the center of the concentric spheres to any point on the fourth concentric sphere or radius of the fourth sphere.ⓘ Radius of 4th Concentric Sphere [r₄]			+10% -10%
✖Thermal Conductivity of 3rd body is expressed as amount of heat flows per unit time through a unit area of third body with temperature gradient of one degree per unit distance.ⓘ Thermal Conductivity of 3rd Body [k₃]			+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 of 3 Layers without Convection [R_tr]

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Total Thermal Resistance of Spherical wall of 3 Layers without Convection Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)
R_tr = (r₂-r₁)/(4*pi*k₁*r₁*r₂)+(r₃-r₂)/(4*pi*k₂*r₂*r₃)+(r₄-r₃)/(4*pi*k₃*r₃*r₄)
This formula uses 1 Constants, 8 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 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 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 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.
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 4th Concentric Sphere - (Measured in Meter) - Radius of 4th Concentric Sphere is the distance from the center of the concentric spheres to any point on the fourth concentric sphere or radius of the fourth sphere.
Thermal Conductivity of 3rd Body - (Measured in Watt per Meter per K) - Thermal Conductivity of 3rd body is expressed as amount of heat flows per unit time through a unit area of third body with 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 of 1st Body: 0.001 Watt per Meter per K --> 0.001 Watt per Meter per K No Conversion Required
Radius of 3rd Concentric Sphere: 7 Meter --> 7 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 4th Concentric Sphere: 8 Meter --> 8 Meter No Conversion Required
Thermal Conductivity of 3rd Body: 0.004 Watt per Meter per K --> 0.004 Watt per Meter per K No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

R_tr = (r₂-r₁)/(4*pi*k₁*r₁*r₂)+(r₃-r₂)/(4*pi*k₂*r₂*r₃)+(r₄-r₃)/(4*pi*k₃*r₃*r₄) --> (6-5)/(4*pi*0.001*5*6)+(7-6)/(4*pi*0.002*6*7)+(8-7)/(4*pi*0.004*7*8)

Evaluating ... ...

R_tr = 3.95518980600395

STEP 3: Convert Result to Output's Unit

3.95518980600395 Kelvin per Watt --> No Conversion Required

FINAL ANSWER

3.95518980600395 ≈ 3.95519 Kelvin per Watt <-- Sphere Thermal Resistance

(Calculation completed in 00.012 seconds)

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Created by Sai Venkata Phanindra Chary Arendra

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

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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 of 3 Layers without Convection Formula

LaTeX Go

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 Total Thermal Resistance of Spherical wall of 3 Layers without Convection?

Total Thermal Resistance of Spherical wall of 3 Layers without Convection calculator uses 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) to calculate the Sphere Thermal Resistance, The Total Thermal Resistance of Spherical wall of 3 Layers without Convection formula is the total thermal resistance of a spherical composite wall of 3 layers in series. Sphere Thermal Resistance is denoted by R_tr symbol.

How to calculate Total Thermal Resistance of Spherical wall of 3 Layers without Convection using this online calculator? To use this online calculator for Total Thermal Resistance of Spherical wall of 3 Layers without Convection, enter Radius of 2nd Concentric Sphere (r₂), Radius of 1st Concentric Sphere (r₁), Thermal Conductivity of 1st Body (k₁), Radius of 3rd Concentric Sphere (r₃), Thermal Conductivity of 2nd Body (k₂), Radius of 4th Concentric Sphere (r₄) & Thermal Conductivity of 3rd Body (k₃) and hit the calculate button. Here is how the Total Thermal Resistance of Spherical wall of 3 Layers without Convection calculation can be explained with given input values -> 3.95519 = (6-5)/(4*pi*0.001*5*6)+(7-6)/(4*pi*0.002*6*7)+(8-7)/(4*pi*0.004*7*8).

FAQ

What is Total Thermal Resistance of Spherical wall of 3 Layers without Convection?

The Total Thermal Resistance of Spherical wall of 3 Layers without Convection formula is the total thermal resistance of a spherical composite wall of 3 layers in series and is represented as R_tr = (r₂-r₁)/(4*pi*k₁*r₁*r₂)+(r₃-r₂)/(4*pi*k₂*r₂*r₃)+(r₄-r₃)/(4*pi*k₃*r₃*r₄) or 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). 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 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 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, 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 4th Concentric Sphere is the distance from the center of the concentric spheres to any point on the fourth concentric sphere or radius of the fourth sphere & Thermal Conductivity of 3rd body is expressed as amount of heat flows per unit time through a unit area of third body with temperature gradient of one degree per unit distance.

How to calculate Total Thermal Resistance of Spherical wall of 3 Layers without Convection?

The Total Thermal Resistance of Spherical wall of 3 Layers without Convection formula is the total thermal resistance of a spherical composite wall of 3 layers in series is calculated using 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). To calculate Total Thermal Resistance of Spherical wall of 3 Layers without Convection, you need Radius of 2nd Concentric Sphere (r₂), Radius of 1st Concentric Sphere (r₁), Thermal Conductivity of 1st Body (k₁), Radius of 3rd Concentric Sphere (r₃), Thermal Conductivity of 2nd Body (k₂), Radius of 4th Concentric Sphere (r₄) & Thermal Conductivity of 3rd Body (k₃). With our tool, you need to enter the respective value for Radius of 2nd Concentric Sphere, Radius of 1st Concentric Sphere, Thermal Conductivity of 1st Body, Radius of 3rd Concentric Sphere, Thermal Conductivity of 2nd Body, Radius of 4th Concentric Sphere & Thermal Conductivity of 3rd Body 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 2nd Concentric Sphere, Radius of 1st Concentric Sphere, Thermal Conductivity of 1st Body, Radius of 3rd Concentric Sphere, Thermal Conductivity of 2nd Body, Radius of 4th Concentric Sphere & Thermal Conductivity of 3rd Body. We can use 1 other way(s) to calculate the same, which is/are as follows -

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)

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