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Thermal resistance of pipe with eccentric lagging Formula

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Eccentric Lagging Thermal resistance is a heat property and a measurement of a temperature difference by which an object or material resists a heat flow. Check FAQs

r th = (\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}}}))

r_th - Eccentric Lagging Thermal Resistance?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?

Thermal resistance of pipe with eccentric lagging Example

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Here is how the Thermal resistance of pipe with eccentric lagging equation looks like.

0.0017 = (\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}}}))

0.0017K/W = (\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}}}))

0.0017 = (\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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Thermal resistance of pipe with eccentric lagging Solution

Follow our step by step solution on how to calculate Thermal resistance of pipe with eccentric lagging?

FIRST Step Consider the formula

r th = (\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

∴

r th = (\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

∴

r th = (\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

∴

r th = (\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

∴

r th = 0.00165481550104387K/W

LAST Step Rounding Answer

∴

r th = 0.0017K/W

Thermal resistance of pipe with eccentric lagging Formula Elements

Variables

Constants

Functions

Eccentric Lagging Thermal Resistance

Eccentric Lagging Thermal resistance is a heat property and a measurement of a temperature difference by which an object or material resists a heat flow.

Symbol: r_th

Measurement: Thermal ResistanceUnit: K/W

Note: Value should be greater than 0.

Formulas to find Eccentric Lagging Thermal Resistance

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)

Note: Value should be greater than 0.

Formulas to find Eccentric Lagging Thermal Conductivity

Eccentric Lagging Length

Eccentric Lagging Length is the measurement or extent of something from end to end.

Symbol: L_e

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Eccentric Lagging Length

Radius 2

Radius 2 is the radius of the second concentric circle or circle.

Symbol: r₂

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Radius 2

Radius 1

Radius 1 is the distance from the center of the concentric circles to any point on the first/smallest concentric circle or the radius of the first circle.

Symbol: r₁

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Radius 1

Distance Between Centers of Eccentric Circles

Distance Between Centers of Eccentric Circles is the distance between the centres of two circles that are eccentric to each other.

Symbol: e

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Distance Between Centers of Eccentric Circles

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

The natural logarithm, also known as the logarithm to the base e, is the inverse function of the natural exponential function.

Syntax: ln(Number)

sqrt

A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.

Syntax: sqrt(Number)

Other formulas in Other shapes category

Go Thermal Resistance for Pipe in Square Section

R th = (\frac{1}{2 \cdot π \cdot L}) \cdot ((\frac{1}{h i \cdot R}) + ((\frac{L}{k}) \cdot \ln (\frac{1.08 \cdot a}{2 \cdot R})) + (\frac{π}{2 \cdot h o \cdot a}))

Go Heat flow through pipe in square section

Q = \frac{T i - T o}{(\frac{1}{2 \cdot π \cdot L}) \cdot ((\frac{1}{h i \cdot R}) + ((\frac{L}{k}) \cdot \ln (\frac{1.08 \cdot a}{2 \cdot R})) + (\frac{π}{2 \cdot h o \cdot a}))}

Go Heat flow rate through pipe with eccentric lagging

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}}}))}

Go Inner surface temperature of pipe in square section

T i = (Q \cdot (\frac{1}{2 \cdot π \cdot L}) \cdot ((\frac{1}{h i \cdot R}) + ((\frac{L}{k}) \cdot \ln (\frac{1.08 \cdot a}{2 \cdot R})) + (\frac{π}{2 \cdot h o \cdot a}))) + T o

How to Evaluate Thermal resistance of pipe with eccentric lagging?

Thermal resistance of pipe with eccentric lagging evaluator uses Eccentric Lagging Thermal Resistance = (1/(2*pi*Eccentric Lagging Thermal Conductivity*Eccentric Lagging Length))*(ln((sqrt(((Radius 2+Radius 1)^2)-Distance Between Centers of Eccentric Circles^2)+sqrt(((Radius 2-Radius 1)^2)-Distance Between Centers of Eccentric Circles^2))/(sqrt(((Radius 2+Radius 1)^2)-Distance Between Centers of Eccentric Circles^2)-sqrt(((Radius 2-Radius 1)^2)-Distance Between Centers of Eccentric Circles^2)))) to evaluate the Eccentric Lagging Thermal Resistance, The Thermal resistance of pipe with eccentric lagging formula is defined as the thermal resistance offered by a pipe with eccentric lagging. Eccentric Lagging Thermal Resistance is denoted by r_th symbol.

How to evaluate Thermal resistance of pipe with eccentric lagging using this online evaluator? To use this online evaluator for Thermal resistance of pipe with eccentric lagging, enter Eccentric Lagging Thermal Conductivity (k_e), Eccentric Lagging Length (L_e), Radius 2 (r₂), Radius 1 (r₁) & Distance Between Centers of Eccentric Circles (e) and hit the calculate button.

FAQs on Thermal resistance of pipe with eccentric lagging

What is the formula to find Thermal resistance of pipe with eccentric lagging?

The formula of Thermal resistance of pipe with eccentric lagging is expressed as Eccentric Lagging Thermal Resistance = (1/(2*pi*Eccentric Lagging Thermal Conductivity*Eccentric Lagging Length))*(ln((sqrt(((Radius 2+Radius 1)^2)-Distance Between Centers of Eccentric Circles^2)+sqrt(((Radius 2-Radius 1)^2)-Distance Between Centers of Eccentric Circles^2))/(sqrt(((Radius 2+Radius 1)^2)-Distance Between Centers of Eccentric Circles^2)-sqrt(((Radius 2-Radius 1)^2)-Distance Between Centers of Eccentric Circles^2)))). Here is an example- 0.001655 = (1/(2*pi*15*7))*(ln((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)))).

How to calculate Thermal resistance of pipe with eccentric lagging?

With Eccentric Lagging Thermal Conductivity (k_e), Eccentric Lagging Length (L_e), Radius 2 (r₂), Radius 1 (r₁) & Distance Between Centers of Eccentric Circles (e) we can find Thermal resistance of pipe with eccentric lagging using the formula - Eccentric Lagging Thermal Resistance = (1/(2*pi*Eccentric Lagging Thermal Conductivity*Eccentric Lagging Length))*(ln((sqrt(((Radius 2+Radius 1)^2)-Distance Between Centers of Eccentric Circles^2)+sqrt(((Radius 2-Radius 1)^2)-Distance Between Centers of Eccentric Circles^2))/(sqrt(((Radius 2+Radius 1)^2)-Distance Between Centers of Eccentric Circles^2)-sqrt(((Radius 2-Radius 1)^2)-Distance Between Centers of Eccentric Circles^2)))). This formula also uses Archimedes' constant and , Natural Logarithm (ln), Square Root (sqrt) function(s).

Can the Thermal resistance of pipe with eccentric lagging be negative?

No, the Thermal resistance of pipe with eccentric lagging, measured in Thermal Resistance cannot be negative.

Which unit is used to measure Thermal resistance of pipe with eccentric lagging?

Thermal resistance of pipe with eccentric lagging is usually measured using the Kelvin per Watt[K/W] for Thermal Resistance. Degree Fahrenheit hour per Btu (IT)[K/W], Degree Fahrenheit Hour per Btu (th)[K/W], Kelvin per Milliwatt[K/W] are the few other units in which Thermal resistance of pipe with eccentric lagging can be measured.

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Thermal resistance of pipe with eccentric lagging Formula

Thermal resistance of pipe with eccentric lagging Example

Thermal resistance of pipe with eccentric lagging Solution

Thermal resistance of pipe with eccentric lagging Formula Elements

Other formulas in Other shapes category

How to Evaluate Thermal resistance of pipe with eccentric lagging?

FAQs on Thermal resistance of pipe with eccentric lagging

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