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Inside temperature of concentric sphere Formula

GoInside surface temperature for annular space between concentric cylinders Formula

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Inside Temperature is the temperature of air present inside. Check FAQs

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

t_i - Inside Temperature?q - Heat Transfer?k_e - Thermal Conductivity?d_o - Outer Diameter?d_i - Inner Diameter?L - Length?t_o - Outside Temperature?π - Archimedes' constant?

Inside temperature of concentric sphere Example

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

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

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

273.021 = (\frac{2}{10 \cdot 3.1416 \cdot \frac{0.26 \cdot 35}{3}}) + 273

273.021K = (\frac{2W}{10W/(m*K) \cdot 3.1416 \cdot \frac{0.26m \cdot 35m}{3m}}) + 273K

273.021 = (\frac{2}{10 \cdot 3.1416 \cdot \frac{0.26 \cdot 35}{3}}) + 273

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Inside temperature of concentric sphere Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

t i = (\frac{2W}{10W/(m*K) \cdot π \cdot \frac{0.26m \cdot 35m}{3m}}) + 273K

Next Step Substitute values of Constants

∴

t i = (\frac{2W}{10W/(m*K) \cdot 3.1416 \cdot \frac{0.26m \cdot 35m}{3m}}) + 273K

Next Step Prepare to Evaluate

∴

t i = (\frac{2}{10 \cdot 3.1416 \cdot \frac{0.26 \cdot 35}{3}}) + 273

Next Step Evaluate

∴

t i = 273.020987465023K

LAST Step Rounding Answer

∴

t i = 273.021K

Inside temperature of concentric sphere Formula Elements

Variables

Constants

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

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

Outer Diameter

The Outer Diameter is the diameter of outer edge of circular hollow shaft.

Symbol: d_o

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Outer Diameter

Inner Diameter

The Inner Diameter is the diameter of inner circle of circular hollow shaft.

Symbol: d_i

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Inner 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

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

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 Inside Temperature

Go Inside surface temperature for annular space between concentric cylinders

t i = (e' \cdot \frac{\ln (\frac{D o}{D i})}{2 \cdot π \cdot k e}) + t o

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 temperature of concentric sphere?

Inside temperature of concentric sphere evaluator uses Inside Temperature = (Heat Transfer/(Thermal Conductivity*pi*(Outer Diameter*Inner Diameter)/Length))+Outside Temperature to evaluate the Inside Temperature, The Inside temperature of concentric sphere formula is defined as the temperature inside the concentric sphere during free convection. Inside Temperature is denoted by t_i symbol.

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

FAQs on Inside temperature of concentric sphere

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

The formula of Inside temperature of concentric sphere is expressed as Inside Temperature = (Heat Transfer/(Thermal Conductivity*pi*(Outer Diameter*Inner Diameter)/Length))+Outside Temperature. Here is an example- 273.021 = (2/(10*pi*(0.26*35)/3))+273.

How to calculate Inside temperature of concentric sphere?

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

What are the other ways to Calculate Inside Temperature?

Here are the different ways to Calculate Inside Temperature-

Inside Temperature=(Heat Transfer Per Unit Length*(ln(Outside Diameter/Inside Diameter))/(2*pi*Thermal Conductivity))+Outside Temperature

Can the Inside temperature of concentric sphere be negative?

Yes, the Inside temperature of concentric sphere, measured in Temperature can be negative.

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

Inside temperature of concentric sphere is usually measured using the Kelvin[K] for Temperature. Celsius[K], Fahrenheit[K], Rankine[K] are the few other units in which Inside temperature of concentric sphere can be measured.

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Inside temperature of concentric sphere Formula

​GoInside surface temperature for annular space between concentric cylinders Formula

Inside temperature of concentric sphere Example

Inside temperature of concentric sphere Solution

Inside temperature of concentric sphere Formula Elements

Other Formulas to find Inside Temperature

Other formulas in Convective Flow Over Cylinder and Sphere category

How to Evaluate Inside temperature of concentric sphere?

FAQs on Inside temperature of concentric sphere

Variable Name

GoInside surface temperature for annular space between concentric cylinders Formula