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Heat transfer between concentric spheres given both diameters Formula

GoHeat transfer between concentric spheres given both radii Formula

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Heat transfer Between Concentric Spheres 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. Check FAQs

Q s = (k Eff \cdot π \cdot (t i - t o)) \cdot (\frac{D o \cdot D i}{L})

Q_s - Heat transfer Between Concentric Spheres?k_Eff - Effective Thermal Conductivity?t_i - Inside Temperature?t_o - Outside Temperature?D_o - Outside Diameter?D_i - Inside Diameter?L - Length?π - Archimedes' constant?

Heat transfer between concentric spheres given both diameters Example

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Here is how the Heat transfer between concentric spheres given both diameters equation looks like with Values.

Here is how the Heat transfer between concentric spheres given both diameters equation looks like with Units.

Here is how the Heat transfer between concentric spheres given both diameters equation looks like.

1.9958 = (0.27 \cdot 3.1416 \cdot (353 - 273)) \cdot (\frac{0.05 \cdot 0.005}{0.0085})

1.9958W = (0.27W/(m*K) \cdot 3.1416 \cdot (353K - 273K)) \cdot (\frac{0.05m \cdot 0.005m}{0.0085m})

1.9958 = (0.27 \cdot 3.1416 \cdot (353 - 273)) \cdot (\frac{0.05 \cdot 0.005}{0.0085})

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Heat transfer between concentric spheres given both diameters Solution

Follow our step by step solution on how to calculate Heat transfer between concentric spheres given both diameters?

FIRST Step Consider the formula

Q s = (k Eff \cdot π \cdot (t i - t o)) \cdot (\frac{D o \cdot D i}{L})

Next Step Substitute values of Variables

∴

Q s = (0.27W/(m*K) \cdot π \cdot (353K - 273K)) \cdot (\frac{0.05m \cdot 0.005m}{0.0085m})

Next Step Substitute values of Constants

∴

Q s = (0.27W/(m*K) \cdot 3.1416 \cdot (353K - 273K)) \cdot (\frac{0.05m \cdot 0.005m}{0.0085m})

Next Step Prepare to Evaluate

∴

Q s = (0.27 \cdot 3.1416 \cdot (353 - 273)) \cdot (\frac{0.05 \cdot 0.005}{0.0085})

Next Step Evaluate

∴

Q s = 1.99583533286881W

LAST Step Rounding Answer

∴

Q s = 1.9958W

Heat transfer between concentric spheres given both diameters Formula Elements

Variables

Constants

Heat transfer Between Concentric Spheres

Heat transfer Between Concentric Spheres 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_s

Measurement: PowerUnit: W

Note: Value can be positive or negative.

Formulas to find Heat transfer Between Concentric Spheres

Effective Thermal Conductivity

Effective Thermal Conductivity is the rate of heat transfer through a unit thickness of the material per unit area per unit temperature difference.

Symbol: k_Eff

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

Note: Value can be positive or negative.

Formulas to find Effective 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

Inside Diameter

Inside diameter is the diameter of the inside surface.

Symbol: D_i

Measurement: LengthUnit: m

Note: Value can be positive or negative.

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

Other Formulas to find Heat transfer Between Concentric Spheres

Go Heat transfer between concentric spheres given both radii

Q s = \frac{4 \cdot π \cdot k Eff \cdot r 1 \cdot r 2 \cdot ΔT}{r 2 - r 1}

Other formulas in Effective Thermal Conductivity and Heat Transfer category

Go Heat transfer per unit length for annular space between concentric cylinders

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

Go Effective thermal conductivity for annular space between concentric cylinders

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

How to Evaluate Heat transfer between concentric spheres given both diameters?

Heat transfer between concentric spheres given both diameters evaluator uses Heat transfer Between Concentric Spheres = (Effective Thermal Conductivity*pi*(Inside Temperature-Outside Temperature))*((Outside Diameter*Inside Diameter)/Length) to evaluate the Heat transfer Between Concentric Spheres, The Heat transfer between concentric spheres given both diameters formula 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. Heat transfer Between Concentric Spheres is denoted by Q_s symbol.

How to evaluate Heat transfer between concentric spheres given both diameters using this online evaluator? To use this online evaluator for Heat transfer between concentric spheres given both diameters, enter Effective Thermal Conductivity (k_Eff), Inside Temperature (t_i), Outside Temperature (t_o), Outside Diameter (D_o), Inside Diameter (D_i) & Length (L) and hit the calculate button.

FAQs on Heat transfer between concentric spheres given both diameters

What is the formula to find Heat transfer between concentric spheres given both diameters?

The formula of Heat transfer between concentric spheres given both diameters is expressed as Heat transfer Between Concentric Spheres = (Effective Thermal Conductivity*pi*(Inside Temperature-Outside Temperature))*((Outside Diameter*Inside Diameter)/Length). Here is an example- 0.005655 = (0.27*pi*(353-273))*((0.05*0.005)/0.0085).

How to calculate Heat transfer between concentric spheres given both diameters?

With Effective Thermal Conductivity (k_Eff), Inside Temperature (t_i), Outside Temperature (t_o), Outside Diameter (D_o), Inside Diameter (D_i) & Length (L) we can find Heat transfer between concentric spheres given both diameters using the formula - Heat transfer Between Concentric Spheres = (Effective Thermal Conductivity*pi*(Inside Temperature-Outside Temperature))*((Outside Diameter*Inside Diameter)/Length). This formula also uses Archimedes' constant .

What are the other ways to Calculate Heat transfer Between Concentric Spheres?

Here are the different ways to Calculate Heat transfer Between Concentric Spheres-

Heat transfer Between Concentric Spheres=(4*pi*Effective Thermal Conductivity*Inside Radius*Outer Radius*Temperature Difference)/(Outer Radius-Inside Radius)

Can the Heat transfer between concentric spheres given both diameters be negative?

Yes, the Heat transfer between concentric spheres given both diameters, measured in Power can be negative.

Which unit is used to measure Heat transfer between concentric spheres given both diameters?

Heat transfer between concentric spheres given both diameters is usually measured using the Watt[W] for Power. Kilowatt[W], Milliwatt[W], Microwatt[W] are the few other units in which Heat transfer between concentric spheres given both diameters can be measured.

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Heat transfer between concentric spheres given both diameters Formula

​GoHeat transfer between concentric spheres given both radii Formula

Heat transfer between concentric spheres given both diameters Example

Heat transfer between concentric spheres given both diameters Solution

Heat transfer between concentric spheres given both diameters Formula Elements

Other Formulas to find Heat transfer Between Concentric Spheres

Other formulas in Effective Thermal Conductivity and Heat Transfer category

How to Evaluate Heat transfer between concentric spheres given both diameters?

FAQs on Heat transfer between concentric spheres given both diameters

Variable Name

GoHeat transfer between concentric spheres given both radii Formula