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Isothermal Sphere Buried in Infinite Medium Formula

GoTwo parallel Isothermal Cylinders placed in Infinite medium Formula

GoIsothermal Ellipsoid Buried in Infinite Medium Formula

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Conduction shape factor is defined as the value used to determine the heat transfer rate for the configurations which are very complex and require high calculation time. Check FAQs

S = 4 \cdot π \cdot R s

S - Conduction Shape Factor?R_s - Radius of Sphere?π - Archimedes' constant?

Isothermal Sphere Buried in Infinite Medium Example

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Here is how the Isothermal Sphere Buried in Infinite Medium equation looks like with Values.

Here is how the Isothermal Sphere Buried in Infinite Medium equation looks like with Units.

Here is how the Isothermal Sphere Buried in Infinite Medium equation looks like.

28 = 4 \cdot 3.1416 \cdot 2.2282

28m = 4 \cdot 3.1416 \cdot 2.2282m

28 = 4 \cdot 3.1416 \cdot 2.2282

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Isothermal Sphere Buried in Infinite Medium Solution

Follow our step by step solution on how to calculate Isothermal Sphere Buried in Infinite Medium?

FIRST Step Consider the formula

S = 4 \cdot π \cdot R s

Next Step Substitute values of Variables

∴

S = 4 \cdot π \cdot 2.2282m

Next Step Substitute values of Constants

∴

S = 4 \cdot 3.1416 \cdot 2.2282m

Next Step Prepare to Evaluate

∴

S = 4 \cdot 3.1416 \cdot 2.2282

Next Step Evaluate

∴

S = 27.9999974454261m

LAST Step Rounding Answer

∴

S = 28m

Isothermal Sphere Buried in Infinite Medium Formula Elements

Variables

Constants

Conduction Shape Factor

Conduction shape factor is defined as the value used to determine the heat transfer rate for the configurations which are very complex and require high calculation time.

Symbol: S

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Conduction Shape Factor

Radius of Sphere

Radius of Sphere is a line segment extending from the center of a sphere to the circumference or bounding surface.

Symbol: R_s

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Radius of Sphere

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 to find Conduction Shape Factor

Go Two parallel Isothermal Cylinders placed in Infinite medium

S = \frac{2 \cdot π \cdot L c}{a} \cosh (\frac{4 \cdot d^{2} - {D 1}^{2} - {D 2}^{2}}{2 \cdot D 1 \cdot D 2})

Go Isothermal Ellipsoid Buried in Infinite Medium

S = \frac{4 \cdot π \cdot a \cdot \sqrt{1 - \frac{b}{a^{2}}}}{a \tanh (\sqrt{1 - \frac{b}{a^{2}}})}

Go Isothermal Cylinder in Midplane of Infinite wall

S = \frac{8 \cdot d s}{π \cdot D}

How to Evaluate Isothermal Sphere Buried in Infinite Medium?

Isothermal Sphere Buried in Infinite Medium evaluator uses Conduction Shape Factor = 4*pi*Radius of Sphere to evaluate the Conduction Shape Factor, Isothermal Sphere Buried in Infinite Medium formula is defined as a mathematical representation of the thermal behavior of a sphere buried in an infinite medium, where the sphere's surface temperature is uniform and the surrounding medium is at a constant temperature, allowing for the calculation of heat transfer and thermal properties. Conduction Shape Factor is denoted by S symbol.

How to evaluate Isothermal Sphere Buried in Infinite Medium using this online evaluator? To use this online evaluator for Isothermal Sphere Buried in Infinite Medium, enter Radius of Sphere (R_s) and hit the calculate button.

FAQs on Isothermal Sphere Buried in Infinite Medium

What is the formula to find Isothermal Sphere Buried in Infinite Medium?

The formula of Isothermal Sphere Buried in Infinite Medium is expressed as Conduction Shape Factor = 4*pi*Radius of Sphere. Here is an example- 15.07964 = 4*pi*2.228169.

How to calculate Isothermal Sphere Buried in Infinite Medium?

With Radius of Sphere (R_s) we can find Isothermal Sphere Buried in Infinite Medium using the formula - Conduction Shape Factor = 4*pi*Radius of Sphere. This formula also uses Archimedes' constant .

What are the other ways to Calculate Conduction Shape Factor?

Here are the different ways to Calculate Conduction Shape Factor-

Conduction Shape Factor=(2*pi*Length of Cylinder)/acosh((4*Distance Between Centers^2-Diameter of Cylinder 1^2-Diameter of Cylinder 2^2)/(2*Diameter of Cylinder 1*Diameter of Cylinder 2))
Conduction Shape Factor=(4*pi*Semi Major Axis of Ellipse*sqrt(1-Semi Minor Axis of Ellipse/Semi Major Axis of Ellipse^2))/(atanh(sqrt(1-Semi Minor Axis of Ellipse/Semi Major Axis of Ellipse^2)))
Conduction Shape Factor=(8*Distance from Surface to Centre of Object)/(pi*Diameter of Cylinder)

Can the Isothermal Sphere Buried in Infinite Medium be negative?

No, the Isothermal Sphere Buried in Infinite Medium, measured in Length cannot be negative.

Which unit is used to measure Isothermal Sphere Buried in Infinite Medium?

Isothermal Sphere Buried in Infinite Medium is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Isothermal Sphere Buried in Infinite Medium can be measured.

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