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Outside diameter of concentric sphere Formula

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Outside Diameter is the diameter of the outside surface. Check FAQs

D o = \frac{q}{k e \cdot π \cdot (t i - t o) \cdot \frac{D i}{L}}

D_o - Outside Diameter?q - Heat Transfer?k_e - Thermal Conductivity?t_i - Inside Temperature?t_o - Outside Temperature?D_i - Inside Diameter?L - Length?π - Archimedes' constant?

Outside diameter of concentric sphere Example

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Here is how the Outside diameter of concentric sphere equation looks like with Values.

Here is how the Outside diameter of concentric sphere equation looks like with Units.

Here is how the Outside diameter of concentric sphere equation looks like.

108.9929 = \frac{2}{10 \cdot 3.1416 \cdot (273.0367 - 273) \cdot \frac{0.0477}{3}}

108.9929m = \frac{2W}{10W/(m*K) \cdot 3.1416 \cdot (273.0367K - 273K) \cdot \frac{0.0477m}{3m}}

108.9929 = \frac{2}{10 \cdot 3.1416 \cdot (273.0367 - 273) \cdot \frac{0.0477}{3}}

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Outside diameter of concentric sphere Solution

Follow our step by step solution on how to calculate Outside diameter of concentric sphere?

FIRST Step Consider the formula

D o = \frac{q}{k e \cdot π \cdot (t i - t o) \cdot \frac{D i}{L}}

Next Step Substitute values of Variables

∴

D o = \frac{2W}{10W/(m*K) \cdot π \cdot (273.0367K - 273K) \cdot \frac{0.0477m}{3m}}

Next Step Substitute values of Constants

∴

D o = \frac{2W}{10W/(m*K) \cdot 3.1416 \cdot (273.0367K - 273K) \cdot \frac{0.0477m}{3m}}

Next Step Prepare to Evaluate

∴

D o = \frac{2}{10 \cdot 3.1416 \cdot (273.0367 - 273) \cdot \frac{0.0477}{3}}

Next Step Evaluate

∴

D o = 108.992928012398m

LAST Step Rounding Answer

∴

D o = 108.9929m

Outside diameter of concentric sphere Formula Elements

Variables

Constants

Outside Diameter

Outside Diameter is the diameter of the outside surface.

Symbol: D_o

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Outside Diameter

Heat Transfer

Heat Transfer is defined as the movement of heat across the border of the system due to a difference in temperature between the system and its surroundings.

Symbol: q

Measurement: PowerUnit: W

Note: Value can be positive or negative.

Formulas to find Heat Transfer

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_e

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

Note: Value can be positive or negative.

Formulas to find Thermal Conductivity

Inside Temperature

Inside Temperature is the temperature of air present inside.

Symbol: t_i

Measurement: TemperatureUnit: K

Note: Value can be positive or negative.

Formulas to find Inside Temperature

Outside Temperature

Outside Temperature is the temperature of air present outside.

Symbol: t_o

Measurement: TemperatureUnit: K

Note: Value can be positive or negative.

Formulas to find Outside Temperature

Inside Diameter

Inside Diameter is the diameter of the inside surface.

Symbol: D_i

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Inside Diameter

Length

Length is the measurement or extent of something from end to end.

Symbol: L

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Length

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 Nishan Poojary

Shri Madhwa Vadiraja Institute of Technology and Management (SMVITM), Udupi

Nishan Poojary has created this Formula and 500+ more formulas!

Verified by Rajat Vishwakarma

University Institute of Technology RGPV (UIT - RGPV), Bhopal

Rajat Vishwakarma has verified this Formula and 400+ more formulas!

Other formulas in Convective Flow Over Cylinder and Sphere category

Go Boundary layer thickness on vertical surfaces

d x = 3.93 \cdot x \cdot {Pr}^{- 0.5} \cdot {(0.952 + Pr)}^{0.25} \cdot {Gr x}^{- 0.25}

Go Convective mass transfer coefficient at distance X from leading edge

k L = \frac{2 \cdot k e}{d x}

How to Evaluate Outside diameter of concentric sphere?

Outside diameter of concentric sphere evaluator uses Outside Diameter = Heat Transfer/(Thermal Conductivity*pi*(Inside Temperature-Outside Temperature)*(Inside Diameter)/Length) to evaluate the Outside Diameter, The Outside diameter of concentric sphere formula is defined as outside diameter of concentric sphere. Outside Diameter is denoted by D_o symbol.

How to evaluate Outside diameter of concentric sphere using this online evaluator? To use this online evaluator for Outside diameter of concentric sphere, enter Heat Transfer (q), Thermal Conductivity (k_e), Inside Temperature (t_i), Outside Temperature (t_o), Inside Diameter (D_i) & Length (L) and hit the calculate button.

FAQs on Outside diameter of concentric sphere

What is the formula to find Outside diameter of concentric sphere?

The formula of Outside diameter of concentric sphere is expressed as Outside Diameter = Heat Transfer/(Thermal Conductivity*pi*(Inside Temperature-Outside Temperature)*(Inside Diameter)/Length). Here is an example- 108.9929 = 2/(10*pi*(273.0367-273)*(0.047746)/3).

How to calculate Outside diameter of concentric sphere?

With Heat Transfer (q), Thermal Conductivity (k_e), Inside Temperature (t_i), Outside Temperature (t_o), Inside Diameter (D_i) & Length (L) we can find Outside diameter of concentric sphere using the formula - Outside Diameter = Heat Transfer/(Thermal Conductivity*pi*(Inside Temperature-Outside Temperature)*(Inside Diameter)/Length). This formula also uses Archimedes' constant .

Can the Outside diameter of concentric sphere be negative?

No, the Outside diameter of concentric sphere, measured in Length cannot be negative.

Which unit is used to measure Outside diameter of concentric sphere?

Outside diameter of concentric sphere is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Outside diameter of concentric sphere can be measured.

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Outside diameter of concentric sphere Formula

Outside diameter of concentric sphere Example

Outside diameter of concentric sphere Solution

Outside diameter of concentric sphere Formula Elements

Credits

Other formulas in Convective Flow Over Cylinder and Sphere category

How to Evaluate Outside diameter of concentric sphere?

FAQs on Outside diameter of concentric sphere

Variable Name