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Thickness of Spherical Wall to Maintain given Temperature Difference Formula

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Thickness of Conduction Sphere is the distance through an object. Check FAQs

t = \frac{1}{\frac{1}{r} - \frac{4 \cdot π \cdot k \cdot (T i - T o)}{Q}} - r

t - Thickness Of Conduction Sphere?r - Radius of Sphere?k - Thermal Conductivity?T_i - Inner Surface Temperature?T_o - Outer Surface Temperature?Q - Heat Flow Rate?π - Archimedes' constant?

Thickness of Spherical Wall to Maintain given Temperature Difference Example

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Here is how the Thickness of Spherical Wall to Maintain given Temperature Difference equation looks like with Values.

Here is how the Thickness of Spherical Wall to Maintain given Temperature Difference equation looks like with Units.

Here is how the Thickness of Spherical Wall to Maintain given Temperature Difference equation looks like.

0.07 = \frac{1}{\frac{1}{1.4142} - \frac{4 \cdot 3.1416 \cdot 2 \cdot (305 - 300)}{3769.9112}} - 1.4142

0.07m = \frac{1}{\frac{1}{1.4142m} - \frac{4 \cdot 3.1416 \cdot 2W/(m*K) \cdot (305K - 300K)}{3769.9112W}} - 1.4142m

0.07 = \frac{1}{\frac{1}{1.4142} - \frac{4 \cdot 3.1416 \cdot 2 \cdot (305 - 300)}{3769.9112}} - 1.4142

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Thickness of Spherical Wall to Maintain given Temperature Difference Solution

Follow our step by step solution on how to calculate Thickness of Spherical Wall to Maintain given Temperature Difference?

FIRST Step Consider the formula

t = \frac{1}{\frac{1}{r} - \frac{4 \cdot π \cdot k \cdot (T i - T o)}{Q}} - r

Next Step Substitute values of Variables

∴

t = \frac{1}{\frac{1}{1.4142m} - \frac{4 \cdot π \cdot 2W/(m*K) \cdot (305K - 300K)}{3769.9112W}} - 1.4142m

Next Step Substitute values of Constants

∴

t = \frac{1}{\frac{1}{1.4142m} - \frac{4 \cdot 3.1416 \cdot 2W/(m*K) \cdot (305K - 300K)}{3769.9112W}} - 1.4142m

Next Step Prepare to Evaluate

∴

t = \frac{1}{\frac{1}{1.4142} - \frac{4 \cdot 3.1416 \cdot 2 \cdot (305 - 300)}{3769.9112}} - 1.4142

Next Step Evaluate

∴

t = 0.0699634657768651m

LAST Step Rounding Answer

∴

t = 0.07m

Thickness of Spherical Wall to Maintain given Temperature Difference Formula Elements

Variables

Constants

Thickness Of Conduction Sphere

Thickness of Conduction Sphere is the distance through an object.

Symbol: t

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Thickness Of Conduction Sphere

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.

Formulas to find Radius of 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

Inner Surface Temperature

Inner Surface Temperature is the temperature at the inner surface of the wall either plane wall or cylindrical wall or spherical wall, etc.

Symbol: T_i

Measurement: TemperatureUnit: K

Note: Value can be positive or negative.

Formulas to find Inner Surface Temperature

Outer Surface Temperature

Outer Surface Temperature is the temperature at the outer surface of the wall either plane wall or cylindrical wall or spherical wall, etc.

Symbol: T_o

Measurement: TemperatureUnit: K

Note: Value can be positive or negative.

Formulas to find Outer Surface Temperature

Heat Flow Rate

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.

Symbol: Q

Measurement: PowerUnit: W

Note: Value can be positive or negative.

Formulas to find Heat Flow Rate

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 Convection Resistance for Spherical Layer

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

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}

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

Thickness of Spherical Wall to Maintain given Temperature Difference evaluator 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 evaluate 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 evaluate Thickness of Spherical Wall to Maintain given Temperature Difference using this online evaluator? To use this online evaluator 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.

FAQs on Thickness of Spherical Wall to Maintain given Temperature Difference

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

The formula of Thickness of Spherical Wall to Maintain given Temperature Difference is expressed as 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. Here is an example- 0.069963 = 1/(1/1.4142-(4*pi*2*(305-300))/3769.9111843)-1.4142.

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

With Radius of Sphere (r), Thermal Conductivity (k), Inner Surface Temperature (T_i), Outer Surface Temperature (T_o) & Heat Flow Rate (Q) we can find Thickness of Spherical Wall to Maintain given Temperature Difference using the formula - 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. This formula also uses Archimedes' constant .

Can the Thickness of Spherical Wall to Maintain given Temperature Difference be negative?

No, the Thickness of Spherical Wall to Maintain given Temperature Difference, measured in Length cannot be negative.

Which unit is used to measure Thickness of Spherical Wall to Maintain given Temperature Difference?

Thickness of Spherical Wall to Maintain given Temperature Difference is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Thickness of Spherical Wall to Maintain given Temperature Difference can be measured.

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Thickness of Spherical Wall to Maintain given Temperature Difference Formula

Thickness of Spherical Wall to Maintain given Temperature Difference Example

Thickness of Spherical Wall to Maintain given Temperature Difference Solution

Thickness of Spherical Wall to Maintain given Temperature Difference Formula Elements

Other formulas in Conduction in Sphere category

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

FAQs on Thickness of Spherical Wall to Maintain given Temperature Difference

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