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Heat transfer between concentric spheres given both radii Formula

GoHeat transfer between concentric spheres given both diameters 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 = \frac{4 \cdot π \cdot k Eff \cdot r 1 \cdot r 2 \cdot ΔT}{r 2 - r 1}

Q_s - Heat transfer Between Concentric Spheres?k_Eff - Effective Thermal Conductivity?r₁ - Inside Radius?r₂ - Outer Radius?ΔT - Temperature Difference?π - Archimedes' constant?

Heat transfer between concentric spheres given both radii Example

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

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

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

1.9679 = \frac{4 \cdot 3.1416 \cdot 0.27 \cdot 0.01 \cdot 0.02 \cdot 29}{0.02 - 0.01}

1.9679W = \frac{4 \cdot 3.1416 \cdot 0.27W/(m*K) \cdot 0.01m \cdot 0.02m \cdot 29K}{0.02m - 0.01m}

1.9679 = \frac{4 \cdot 3.1416 \cdot 0.27 \cdot 0.01 \cdot 0.02 \cdot 29}{0.02 - 0.01}

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Heat transfer between concentric spheres given both radii Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

Q s = \frac{4 \cdot π \cdot 0.27W/(m*K) \cdot 0.01m \cdot 0.02m \cdot 29K}{0.02m - 0.01m}

Next Step Substitute values of Constants

∴

Q s = \frac{4 \cdot 3.1416 \cdot 0.27W/(m*K) \cdot 0.01m \cdot 0.02m \cdot 29K}{0.02m - 0.01m}

Next Step Prepare to Evaluate

∴

Q s = \frac{4 \cdot 3.1416 \cdot 0.27 \cdot 0.01 \cdot 0.02 \cdot 29}{0.02 - 0.01}

Next Step Evaluate

∴

Q s = 1.96789363820865W

LAST Step Rounding Answer

∴

Q s = 1.9679W

Heat transfer between concentric spheres given both radii 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 Radius

Inside Radius is a straight line from the centre to the inner circumference of a circle or sphere.

Symbol: r₁

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Inside Radius

Outer Radius

Outer Radius is a straight line from the centre to the outer circumference of a circle or sphere.

Symbol: r₂

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Outer Radius

Temperature Difference

Temperature Difference is the measure of the hotness or the coldness of an object.

Symbol: ΔT

Measurement: Temperature DifferenceUnit: K

Note: Value can be positive or negative.

Formulas to find Temperature Difference

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 diameters

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

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))

Go Effective thermal conductivity given Prandtl number

k Eff = 0.386 \cdot kl \cdot ({(\frac{Pr}{0.861 + Pr})}^{0.25}) \cdot {(Ra c)}^{0.25}

Go Effective thermal conductivity for space between two concentric spheres

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

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

Heat transfer between concentric spheres given both radii evaluator uses Heat transfer Between Concentric Spheres = (4*pi*Effective Thermal Conductivity*Inside Radius*Outer Radius*Temperature Difference)/(Outer Radius-Inside Radius) to evaluate the Heat transfer Between Concentric Spheres, The Heat transfer between concentric spheres given both radii 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 radii using this online evaluator? To use this online evaluator for Heat transfer between concentric spheres given both radii, enter Effective Thermal Conductivity (k_Eff), Inside Radius (r₁), Outer Radius (r₂) & Temperature Difference (ΔT) and hit the calculate button.

FAQs on Heat transfer between concentric spheres given both radii

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

The formula of Heat transfer between concentric spheres given both radii is expressed as Heat transfer Between Concentric Spheres = (4*pi*Effective Thermal Conductivity*Inside Radius*Outer Radius*Temperature Difference)/(Outer Radius-Inside Radius). Here is an example- 72.88495 = (4*pi*0.27*0.01*0.02*29)/(0.02-0.01).

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

With Effective Thermal Conductivity (k_Eff), Inside Radius (r₁), Outer Radius (r₂) & Temperature Difference (ΔT) we can find Heat transfer between concentric spheres given both radii using the formula - Heat transfer Between Concentric Spheres = (4*pi*Effective Thermal Conductivity*Inside Radius*Outer Radius*Temperature Difference)/(Outer Radius-Inside Radius). 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=(Effective Thermal Conductivity*pi*(Inside Temperature-Outside Temperature))*((Outside Diameter*Inside Diameter)/Length)

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

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

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

Heat transfer between concentric spheres given both radii 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 radii can be measured.

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Heat transfer between concentric spheres given both radii Formula

​GoHeat transfer between concentric spheres given both diameters Formula

Heat transfer between concentric spheres given both radii Example

Heat transfer between concentric spheres given both radii Solution

Heat transfer between concentric spheres given both radii 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 radii?

FAQs on Heat transfer between concentric spheres given both radii

Variable Name

GoHeat transfer between concentric spheres given both diameters Formula