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Heat flow rate through pipe with eccentric lagging Formula

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Eccentric lagging Heat Flow Rate is the amount of heat that is transferred per unit of time in some material. Heat is the flow of thermal energy driven by thermal non-equilibrium. Check FAQs

Q e = \frac{T ie - T oe}{(\frac{1}{2 \cdot π \cdot k e \cdot L e}) \cdot (\ln (\frac{\sqrt{({(r 2 + r 1)}^{2}) - e^{2}} + \sqrt{({(r 2 - r 1)}^{2}) - e^{2}}}{\sqrt{({(r 2 + r 1)}^{2}) - e^{2}} - \sqrt{({(r 2 - r 1)}^{2}) - e^{2}}}))}

Q_e - Eccentric Lagging Heat Flow Rate?T_ie - Eccentric Lagging Inner Surface Temperature?T_oe - Eccentric Lagging Outer Surface Temperature?k_e - Eccentric Lagging Thermal Conductivity?L_e - Eccentric Lagging Length?r₂ - Radius 2?r₁ - Radius 1?e - Distance Between Centers of Eccentric Circles?π - Archimedes' constant?

Heat flow rate through pipe with eccentric lagging Example

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Here is how the Heat flow rate through pipe with eccentric lagging equation looks like with Values.

Here is how the Heat flow rate through pipe with eccentric lagging equation looks like with Units.

Here is how the Heat flow rate through pipe with eccentric lagging equation looks like.

3021.4849 = \frac{25 - 20}{(\frac{1}{2 \cdot 3.1416 \cdot 15 \cdot 7}) \cdot (\ln (\frac{\sqrt{({(12.1 + 4)}^{2}) - {1.4}^{2}} + \sqrt{({(12.1 - 4)}^{2}) - {1.4}^{2}}}{\sqrt{({(12.1 + 4)}^{2}) - {1.4}^{2}} - \sqrt{({(12.1 - 4)}^{2}) - {1.4}^{2}}}))}

3021.4849W = \frac{25K - 20K}{(\frac{1}{2 \cdot 3.1416 \cdot 15W/(m*K) \cdot 7m}) \cdot (\ln (\frac{\sqrt{({(12.1m + 4m)}^{2}) - {1.4m}^{2}} + \sqrt{({(12.1m - 4m)}^{2}) - {1.4m}^{2}}}{\sqrt{({(12.1m + 4m)}^{2}) - {1.4m}^{2}} - \sqrt{({(12.1m - 4m)}^{2}) - {1.4m}^{2}}}))}

3021.4849 = \frac{25 - 20}{(\frac{1}{2 \cdot 3.1416 \cdot 15 \cdot 7}) \cdot (\ln (\frac{\sqrt{({(12.1 + 4)}^{2}) - {1.4}^{2}} + \sqrt{({(12.1 - 4)}^{2}) - {1.4}^{2}}}{\sqrt{({(12.1 + 4)}^{2}) - {1.4}^{2}} - \sqrt{({(12.1 - 4)}^{2}) - {1.4}^{2}}}))}

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Heat flow rate through pipe with eccentric lagging Solution

Follow our step by step solution on how to calculate Heat flow rate through pipe with eccentric lagging?

FIRST Step Consider the formula

Q e = \frac{T ie - T oe}{(\frac{1}{2 \cdot π \cdot k e \cdot L e}) \cdot (\ln (\frac{\sqrt{({(r 2 + r 1)}^{2}) - e^{2}} + \sqrt{({(r 2 - r 1)}^{2}) - e^{2}}}{\sqrt{({(r 2 + r 1)}^{2}) - e^{2}} - \sqrt{({(r 2 - r 1)}^{2}) - e^{2}}}))}

Next Step Substitute values of Variables

∴

Q e = \frac{25K - 20K}{(\frac{1}{2 \cdot π \cdot 15W/(m*K) \cdot 7m}) \cdot (\ln (\frac{\sqrt{({(12.1m + 4m)}^{2}) - {1.4m}^{2}} + \sqrt{({(12.1m - 4m)}^{2}) - {1.4m}^{2}}}{\sqrt{({(12.1m + 4m)}^{2}) - {1.4m}^{2}} - \sqrt{({(12.1m - 4m)}^{2}) - {1.4m}^{2}}}))}

Next Step Substitute values of Constants

∴

Q e = \frac{25K - 20K}{(\frac{1}{2 \cdot 3.1416 \cdot 15W/(m*K) \cdot 7m}) \cdot (\ln (\frac{\sqrt{({(12.1m + 4m)}^{2}) - {1.4m}^{2}} + \sqrt{({(12.1m - 4m)}^{2}) - {1.4m}^{2}}}{\sqrt{({(12.1m + 4m)}^{2}) - {1.4m}^{2}} - \sqrt{({(12.1m - 4m)}^{2}) - {1.4m}^{2}}}))}

Next Step Prepare to Evaluate

∴

Q e = \frac{25 - 20}{(\frac{1}{2 \cdot 3.1416 \cdot 15 \cdot 7}) \cdot (\ln (\frac{\sqrt{({(12.1 + 4)}^{2}) - {1.4}^{2}} + \sqrt{({(12.1 - 4)}^{2}) - {1.4}^{2}}}{\sqrt{({(12.1 + 4)}^{2}) - {1.4}^{2}} - \sqrt{({(12.1 - 4)}^{2}) - {1.4}^{2}}}))}

Next Step Evaluate

∴

Q e = 3021.48487057679W

LAST Step Rounding Answer

∴

Q e = 3021.4849W

Heat flow rate through pipe with eccentric lagging Formula Elements

Variables

Constants

Functions

Eccentric Lagging Heat Flow Rate

Eccentric lagging Heat Flow Rate is the amount of heat that is transferred per unit of time in some material. Heat is the flow of thermal energy driven by thermal non-equilibrium.

Symbol: Q_e

Measurement: PowerUnit: W

Note: Value can be positive or negative.

Formulas to find Eccentric Lagging Heat Flow Rate

Eccentric Lagging Inner Surface Temperature

Eccentric Lagging Inner Surface Temperature is the temperature at the inner surface of the wall either plane wall or cylindrical wall or spherical wall, etc.

Symbol: T_ie

Measurement: TemperatureUnit: K

Note: Value can be positive or negative.

Formulas to find Eccentric Lagging Inner Surface Temperature

Eccentric Lagging Outer Surface Temperature

Eccentric Lagging Outer surface temperature is the temperature at the outer surface of the wall (either plane wall or cylindrical wall or spherical wall, etc).

Symbol: T_oe

Measurement: TemperatureUnit: K

Note: Value can be positive or negative.

Formulas to find Eccentric Lagging Outer Surface Temperature

Eccentric Lagging Thermal Conductivity

Eccentric Lagging Thermal Conductivity is 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)