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Inside diameter of concentric sphere Formula

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Inside Diameter is the diameter of the inside surface. Check FAQs

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

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

Inside diameter of concentric sphere Example

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

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

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

104.0795 = \frac{2}{10 \cdot 3.1416 \cdot (273.0367 - 273) \cdot \frac{0.05}{3}}

104.0795m = \frac{2W}{10W/(m*K) \cdot 3.1416 \cdot (273.0367K - 273K) \cdot \frac{0.05m}{3m}}

104.0795 = \frac{2}{10 \cdot 3.1416 \cdot (273.0367 - 273) \cdot \frac{0.05}{3}}

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Inside diameter of concentric sphere Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

D i = \frac{2W}{10W/(m*K) \cdot π \cdot (273.0367K - 273K) \cdot \frac{0.05m}{3m}}

Next Step Substitute values of Constants

∴

D i = \frac{2W}{10W/(m*K) \cdot 3.1416 \cdot (273.0367K - 273K) \cdot \frac{0.05m}{3m}}

Next Step Prepare to Evaluate

∴

D i = \frac{2}{10 \cdot 3.1416 \cdot (273.0367 - 273) \cdot \frac{0.05}{3}}

Next Step Evaluate

∴

D i = 104.079526817599m

LAST Step Rounding Answer

∴

D i = 104.0795m

Inside diameter of concentric sphere Formula Elements

Variables

Constants

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

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

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

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

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 Inside diameter of concentric sphere?

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

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

FAQs on Inside diameter of concentric sphere

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

The formula of Inside diameter of concentric sphere is expressed as Inside Diameter = Heat Transfer/(Thermal Conductivity*pi*(Inside Temperature-Outside Temperature)*Outside Diameter/Length). Here is an example- 0.047746 = 2/(10*pi*(273.0367-273)*0.05/3).

How to calculate Inside diameter of concentric sphere?

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

Can the Inside diameter of concentric sphere be negative?

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

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

Inside 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 Inside diameter of concentric sphere can be measured.

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Inside diameter of concentric sphere Formula

Inside diameter of concentric sphere Example

Inside diameter of concentric sphere Solution

Inside diameter of concentric sphere Formula Elements

Other formulas in Convective Flow Over Cylinder and Sphere category

How to Evaluate Inside diameter of concentric sphere?

FAQs on Inside diameter of concentric sphere

Variable Name