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Convection Resistance for Spherical Layer Formula

GoThermal 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{1}{4 \cdot π \cdot r^{2} \cdot h}

r_th - Thermal Resistance of Sphere Without Convection?r - Radius of Sphere?h - Convection Heat Transfer Coefficient?π - Archimedes' constant?

Convection Resistance for Spherical Layer Example

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Here is how the Convection Resistance for Spherical Layer equation looks like with Values.

Here is how the Convection Resistance for Spherical Layer equation looks like with Units.

Here is how the Convection Resistance for Spherical Layer equation looks like.

0.0013 = \frac{1}{4 \cdot 3.1416 \cdot {1.4142}^{2} \cdot 30}

0.0013K/W = \frac{1}{4 \cdot 3.1416 \cdot {1.4142m}^{2} \cdot 30W/m²*K}

0.0013 = \frac{1}{4 \cdot 3.1416 \cdot {1.4142}^{2} \cdot 30}

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Home » Physics » Mechanical » Heat and Mass Transfer » Convection Resistance for Spherical Layer

Convection Resistance for Spherical Layer Solution

Follow our step by step solution on how to calculate Convection Resistance for Spherical Layer?

FIRST Step Consider the formula

r th = \frac{1}{4 \cdot π \cdot r^{2} \cdot h}

Next Step Substitute values of Variables

∴

r th = \frac{1}{4 \cdot π \cdot {1.4142m}^{2} \cdot 30W/m²*K}

Next Step Substitute values of Constants

∴

r th = \frac{1}{4 \cdot 3.1416 \cdot {1.4142m}^{2} \cdot 30W/m²*K}

Next Step Prepare to Evaluate

∴

r th = \frac{1}{4 \cdot 3.1416 \cdot {1.4142}^{2} \cdot 30}

Next Step Evaluate

∴

r th = 0.00132631663118545K/W

LAST Step Rounding Answer

∴

r th = 0.0013K/W

Convection Resistance for Spherical Layer 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.

Radius of Sphere

Radius Of Sphere is the distance from the center of the concentric circles to any point on the first sphere.

Symbol: r

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Convection Heat Transfer Coefficient

Convection Heat Transfer Coefficient is the rate of heat transfer between a solid surface and a fluid per unit surface area per unit temperature.

Symbol: h

Measurement: Heat Transfer CoefficientUnit: W/m²*K

Note: Value should be greater than 0.

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

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 Formula and 100+ more formulas!

Verified by Maiarutselvan V

PSG College of Technology (PSGCT), Coimbatore

Maiarutselvan V has verified this Formula and 300+ more formulas!

Other Formulas to find Thermal Resistance of Sphere Without Convection

Go Thermal Resistance of Spherical Wall

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

Other formulas in Conduction in Sphere category

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

R tr = \frac{1}{4 \cdot π \cdot {r 1}^{2} \cdot h i} + \frac{r 2 - r 1}{4 \cdot π \cdot k \cdot r 1 \cdot r 2} + \frac{1}{4 \cdot π \cdot {r 2}^{2} \cdot h o}

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

R tr = \frac{r 2 - r 1}{4 \cdot π \cdot k 1 \cdot r 1 \cdot r 2} + \frac{r 3 - r 2}{4 \cdot π \cdot k 2 \cdot r 2 \cdot r 3} + \frac{r 4 - r 3}{4 \cdot π \cdot k 3 \cdot r 3 \cdot r 4}

Go Total Thermal Resistance of Spherical Wall of 2 Layers without Convection

r tr = \frac{r 2 - r 1}{4 \cdot π \cdot k 1 \cdot r 1 \cdot r 2} + \frac{r 3 - r 2}{4 \cdot π \cdot k 2 \cdot r 2 \cdot r 3}

Go Heat Flow Rate through Spherical Composite Wall of 2 Layers in Series

Q' = \frac{T i - T o}{\frac{1}{4 \cdot π \cdot k 1} \cdot (\frac{1}{r 1} - \frac{1}{r 2}) + \frac{1}{4 \cdot π \cdot k 2} \cdot (\frac{1}{r 2} - \frac{1}{r 3})}

How to Evaluate Convection Resistance for Spherical Layer?

Convection Resistance for Spherical Layer evaluator uses Thermal Resistance of Sphere Without Convection = 1/(4*pi*Radius of Sphere^2*Convection Heat Transfer Coefficient) to evaluate the Thermal Resistance of Sphere Without Convection, Convection Resistance for Spherical Layer formula is the thermal resistance offered by a spherical surface layer for heat convection by neglecting the convection. Thermal Resistance of Sphere Without Convection is denoted by r_th symbol.

How to evaluate Convection Resistance for Spherical Layer using this online evaluator? To use this online evaluator for Convection Resistance for Spherical Layer, enter Radius of Sphere (r) & Convection Heat Transfer Coefficient (h) and hit the calculate button.

FAQs on Convection Resistance for Spherical Layer

What is the formula to find Convection Resistance for Spherical Layer?

The formula of Convection Resistance for Spherical Layer is expressed as Thermal Resistance of Sphere Without Convection = 1/(4*pi*Radius of Sphere^2*Convection Heat Transfer Coefficient). Here is an example- 0.001326 = 1/(4*pi*1.4142^2*30).

How to calculate Convection Resistance for Spherical Layer?

With Radius of Sphere (r) & Convection Heat Transfer Coefficient (h) we can find Convection Resistance for Spherical Layer using the formula - Thermal Resistance of Sphere Without Convection = 1/(4*pi*Radius of Sphere^2*Convection Heat Transfer Coefficient). This formula also uses Archimedes' constant .

What are the other ways to Calculate Thermal Resistance of Sphere Without Convection?

Here are the different ways to Calculate Thermal Resistance of Sphere Without Convection-

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)

Can the Convection Resistance for Spherical Layer be negative?

Yes, the Convection Resistance for Spherical Layer, measured in Thermal Resistance can be negative.

Which unit is used to measure Convection Resistance for Spherical Layer?

Convection Resistance for Spherical Layer 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 Convection Resistance for Spherical Layer can be measured.