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Thermal Resistance of Spherical Wall Formula

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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. Check FAQs

r th = \frac{r 2 - r 1}{4 \cdot π \cdot k \cdot r 1 \cdot r 2}

r_th - Thermal Resistance of Sphere Without Convection?r₂ - Radius of 2nd Concentric Sphere?r₁ - Radius of 1st Concentric Sphere?k - Thermal Conductivity?π - Archimedes' constant?

Thermal Resistance of Spherical Wall Example

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Here is how the Thermal Resistance of Spherical Wall equation looks like with Values.

Here is how the Thermal Resistance of Spherical Wall equation looks like with Units.

Here is how the Thermal Resistance of Spherical Wall equation looks like.

0.0013 = \frac{6 - 5}{4 \cdot 3.1416 \cdot 2 \cdot 5 \cdot 6}

0.0013K/W = \frac{6m - 5m}{4 \cdot 3.1416 \cdot 2W/(m*K) \cdot 5m \cdot 6m}

0.0013 = \frac{6 - 5}{4 \cdot 3.1416 \cdot 2 \cdot 5 \cdot 6}

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Thermal Resistance of Spherical Wall Solution

Follow our step by step solution on how to calculate Thermal Resistance of Spherical Wall?

FIRST Step Consider the formula

r th = \frac{r 2 - r 1}{4 \cdot π \cdot k \cdot r 1 \cdot r 2}

Next Step Substitute values of Variables

∴

r th = \frac{6m - 5m}{4 \cdot π \cdot 2W/(m*K) \cdot 5m \cdot 6m}

Next Step Substitute values of Constants

∴

r th = \frac{6m - 5m}{4 \cdot 3.1416 \cdot 2W/(m*K) \cdot 5m \cdot 6m}

Next Step Prepare to Evaluate

∴

r th = \frac{6 - 5}{4 \cdot 3.1416 \cdot 2 \cdot 5 \cdot 6}

Next Step Evaluate

∴

r th = 0.00132629119243246K/W

LAST Step Rounding Answer

∴

r th = 0.0013K/W

Thermal Resistance of Spherical Wall Formula Elements

Variables

Constants

Thermal Resistance of Sphere Without Convection

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.

Symbol: r_th

Measurement: Thermal ResistanceUnit: K/W

Note: Value can be positive or negative.

Formulas to find Thermal Resistance of Sphere Without Convection

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.

Symbol: r₂

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Radius of 2nd Concentric Sphere

Radius of 1st Concentric 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.

Symbol: r₁

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Radius of 1st Concentric Sphere

Thermal Conductivity

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.

Symbol: k

Measurement: Thermal ConductivityUnit: W/(m*K)

Note: Value should be greater than 0.

Formulas to find Thermal Conductivity

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

Other formulas in Conduction in Sphere category

Go Heat Transfer through Plane Wall or Surface

q = - k 1 \cdot A c \cdot \frac{t o - t i}{w}

Go Total Emissive Power of Radiating Body

E b = (ε \cdot {(T e)}^{4}) \cdot [Stefan-BoltZ]

Go Radial Heat Flowing through Cylinder

Q = k 1 \cdot 2 \cdot π \cdot ΔT \cdot \frac{l}{\ln (\frac{r outer}{r inner})}

Go Radiative Heat Transfer

Q = [Stefan-BoltZ] \cdot SA Body \cdot F \cdot ({T 1}^{4} - {T 2}^{4})

How to Evaluate Thermal Resistance of Spherical Wall?

Thermal Resistance of Spherical Wall evaluator 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 evaluate 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 evaluate Thermal Resistance of Spherical Wall using this online evaluator? To use this online evaluator 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.

FAQs on Thermal Resistance of Spherical Wall

What is the formula to find Thermal Resistance of Spherical Wall?

The formula of Thermal Resistance of Spherical Wall is expressed as 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). Here is an example- 0.001326 = (6-5)/(4*pi*2*5*6).

How to calculate Thermal Resistance of Spherical Wall?

With Radius of 2nd Concentric Sphere (r₂), Radius of 1st Concentric Sphere (r₁) & Thermal Conductivity (k) we can find Thermal Resistance of Spherical Wall using the formula - 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). This formula also uses Archimedes' constant .

Can the Thermal Resistance of Spherical Wall be negative?

Yes, the Thermal Resistance of Spherical Wall, measured in Thermal Resistance can be negative.

Which unit is used to measure Thermal Resistance of Spherical Wall?

Thermal Resistance of Spherical Wall is usually measured using the Kelvin per Watt[K/W] for Thermal Resistance. Degree Fahrenheit hour per Btu (IT)[K/W], Degree Fahrenheit Hour per Btu (th)[K/W], Kelvin per Milliwatt[K/W] are the few other units in which Thermal Resistance of Spherical Wall can be measured.

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Thermal Resistance of Spherical Wall Formula

Thermal Resistance of Spherical Wall Example

Thermal Resistance of Spherical Wall Solution

Thermal Resistance of Spherical Wall Formula Elements

Other formulas in Conduction in Sphere category

How to Evaluate Thermal Resistance of Spherical Wall?

FAQs on Thermal Resistance of Spherical Wall

Variable Name