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Thermal Conductivity given Biot Number Formula

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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. Check FAQs

k = \frac{h \cdot 𝓁}{Bi}

k - Thermal Conductivity?h - Heat Transfer Coefficient?𝓁 - Thickness of Wall?Bi - Biot Number?

Thermal Conductivity given Biot Number Example

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Here is how the Thermal Conductivity given Biot Number equation looks like with Values.

Here is how the Thermal Conductivity given Biot Number equation looks like with Units.

Here is how the Thermal Conductivity given Biot Number equation looks like.

1.8343 = \frac{10 \cdot 4.98}{27.15}

1.8343W/(m*K) = \frac{10W/m²*K \cdot 4.98m}{27.15}

1.8343 = \frac{10 \cdot 4.98}{27.15}

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Thermal Conductivity given Biot Number Solution

Follow our step by step solution on how to calculate Thermal Conductivity given Biot Number?

FIRST Step Consider the formula

k = \frac{h \cdot 𝓁}{Bi}

Next Step Substitute values of Variables

∴

k = \frac{10W/m²*K \cdot 4.98m}{27.15}

Next Step Prepare to Evaluate

∴

k = \frac{10 \cdot 4.98}{27.15}

Next Step Evaluate

∴

k = 1.83425414364641W/(m*K)

LAST Step Rounding Answer

∴

k = 1.8343W/(m*K)

Thermal Conductivity given Biot Number Formula Elements

Variables

Thermal Conductivity

Symbol: k

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

Note: Value should be greater than 0.

Formulas to find Thermal Conductivity

Heat Transfer Coefficient

The Heat Transfer Coefficient is the heat transferred per unit area per kelvin. Thus area is included in the equation as it represents the area over which the transfer of heat takes place.

Symbol: h

Measurement: Heat Transfer CoefficientUnit: W/m²*K

Note: Value can be positive or negative.

Formulas to find Heat Transfer Coefficient

Thickness of Wall

The thickness of Wall refers to the distance between one surface of your model and its opposite sheer surface. Wall thickness is defined as the minimum thickness your model should have at any time.

Symbol: 𝓁

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Thickness of Wall

Biot Number

Biot Number is a dimensionless quantity having the ratio of internal conduction resistance to the surface convection resistance.

Symbol: Bi

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Biot Number

Other formulas in Unsteady State Heat Conduction category

Go Biot Number using Heat Transfer Coefficient

Bi = \frac{h \cdot 𝓁}{k}

Go Fourier Number using Biot Number

F o = (- \frac{1}{Bi}) \cdot \ln (\frac{T - T ∞}{T 0 - T ∞})

Go Biot Number using Fourier Number

Bi = (- \frac{1}{F o}) \cdot \ln (\frac{T - T ∞}{T 0 - T ∞})

Go Initial Internal Energy Content of Body in Reference to Environment Temperature

Q o = ρ B \cdot c \cdot V \cdot (T i - T amb)

How to Evaluate Thermal Conductivity given Biot Number?

Thermal Conductivity given Biot Number evaluator uses Thermal Conductivity = (Heat Transfer Coefficient*Thickness of Wall)/Biot Number to evaluate the Thermal Conductivity, The Thermal Conductivity given Biot Number formula is defined as the function of heat transfer coefficient and thickness of wall. Biot number is the ratio of internal conductive resistance within the body to the external convective resistance at the surface of the body. This number gives the relation between internal resistance and external resistance for heat transfer. This equation is recognized by the name of French physicist Jean Baptiste Biot. Thermal Conductivity is denoted by k symbol.

How to evaluate Thermal Conductivity given Biot Number using this online evaluator? To use this online evaluator for Thermal Conductivity given Biot Number, enter Heat Transfer Coefficient (h), Thickness of Wall (𝓁) & Biot Number (Bi) and hit the calculate button.

FAQs on Thermal Conductivity given Biot Number

What is the formula to find Thermal Conductivity given Biot Number?

The formula of Thermal Conductivity given Biot Number is expressed as Thermal Conductivity = (Heat Transfer Coefficient*Thickness of Wall)/Biot Number. Here is an example- 1.834254 = (10*4.98)/27.15.

How to calculate Thermal Conductivity given Biot Number?

With Heat Transfer Coefficient (h), Thickness of Wall (𝓁) & Biot Number (Bi) we can find Thermal Conductivity given Biot Number using the formula - Thermal Conductivity = (Heat Transfer Coefficient*Thickness of Wall)/Biot Number.

Can the Thermal Conductivity given Biot Number be negative?

No, the Thermal Conductivity given Biot Number, measured in Thermal Conductivity cannot be negative.

Which unit is used to measure Thermal Conductivity given Biot Number?

Thermal Conductivity given Biot Number is usually measured using the Watt per Meter per K[W/(m*K)] for Thermal Conductivity. Kilowatt per Meter per K[W/(m*K)], Calorie (IT) per Second per Centimeter per °C[W/(m*K)], Kilocalorie (th) per Hour per Meter per °C[W/(m*K)] are the few other units in which Thermal Conductivity given Biot Number can be measured.

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Thermal Conductivity given Biot Number Formula

Thermal Conductivity given Biot Number Example

Thermal Conductivity given Biot Number Solution

Thermal Conductivity given Biot Number Formula Elements

Other formulas in Unsteady State Heat Conduction category

How to Evaluate Thermal Conductivity given Biot Number?

FAQs on Thermal Conductivity given Biot Number

Variable Name