Thermal conductivity for pipe with eccentric lagging Calculator

✖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.ⓘ Eccentric Lagging Heat Flow Rate [Q_e]			+10% -10%
✖Radius 2 is the radius of the second concentric circle or circle.ⓘ Radius 2 [r₂]			+10% -10%
✖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.ⓘ Radius 1 [r₁]			+10% -10%
✖Distance Between Centers of Eccentric Circles is the distance between the centres of two circles that are eccentric to each other.ⓘ Distance Between Centers of Eccentric Circles [e]			+10% -10%
✖Eccentric Lagging Length is the measurement or extent of something from end to end.ⓘ Eccentric Lagging Length [L_e]			+10% -10%
✖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.ⓘ Eccentric Lagging Inner Surface Temperature [T_ie]			+10% -10%
✖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).ⓘ Eccentric Lagging Outer Surface Temperature [T_oe]			+10% -10%

✖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.ⓘ Thermal conductivity for pipe with eccentric lagging [k_e]

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Thermal conductivity for pipe with eccentric lagging

Formula

`"k"_{"e"} = ("Q"_{"e"}*(ln((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)))))/(2*pi*"L"_{"e"}*("T"_{"ie"}-"T"_{"oe"}))`

Example

`"15W/(m*K)"=("3021.485W"*(ln((sqrt((("12.1m"+"4m")^2)-("1.40m")^2)+sqrt((("12.1m"-"4m")^2)-("1.40m")^2))/(sqrt((("12.1m"+"4m")^2)-("1.40m")^2)-sqrt((("12.1m"-"4m")^2)-("1.40m")^2)))))/(2*pi*"7m"*("25K"-"20K"))`

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Thermal conductivity for pipe with eccentric lagging Solution

STEP 0: Pre-Calculation Summary

Formula Used

Eccentric Lagging Thermal Conductivity = (Eccentric Lagging Heat Flow Rate*(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)))))/(2*pi*Eccentric Lagging Length*(Eccentric Lagging Inner Surface Temperature-Eccentric Lagging Outer Surface Temperature))
k_e = (Q_e*(ln((sqrt(((r₂+r₁)^2)-e^2)+sqrt(((r₂-r₁)^2)-e^2))/(sqrt(((r₂+r₁)^2)-e^2)-sqrt(((r₂-r₁)^2)-e^2)))))/(2*pi*L_e*(T_ie-T_oe))
This formula uses 1 Constants, 2 Functions, 8 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Functions Used

ln - The natural logarithm, also known as the logarithm to the base e, is the inverse function of the natural exponential function., 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., sqrt(Number)

Variables Used

Eccentric Lagging Thermal Conductivity - (Measured in Watt per Meter per K) - 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.
Eccentric Lagging Heat Flow Rate - (Measured in Watt) - 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.
Radius 2 - (Measured in Meter) - Radius 2 is the radius of the second concentric circle or circle.
Radius 1 - (Measured in Meter) - 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.
Distance Between Centers of Eccentric Circles - (Measured in Meter) - Distance Between Centers of Eccentric Circles is the distance between the centres of two circles that are eccentric to each other.
Eccentric Lagging Length - (Measured in Meter) - Eccentric Lagging Length is the measurement or extent of something from end to end.
Eccentric Lagging Inner Surface Temperature - (Measured in Kelvin) - 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.
Eccentric Lagging Outer Surface Temperature - (Measured in Kelvin) - 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).

STEP 1: Convert Input(s) to Base Unit

Eccentric Lagging Heat Flow Rate: 3021.485 Watt --> 3021.485 Watt No Conversion Required
Radius 2: 12.1 Meter --> 12.1 Meter No Conversion Required
Radius 1: 4 Meter --> 4 Meter No Conversion Required
Distance Between Centers of Eccentric Circles: 1.4 Meter --> 1.4 Meter No Conversion Required
Eccentric Lagging Length: 7 Meter --> 7 Meter No Conversion Required
Eccentric Lagging Inner Surface Temperature: 25 Kelvin --> 25 Kelvin No Conversion Required
Eccentric Lagging Outer Surface Temperature: 20 Kelvin --> 20 Kelvin No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

k_e = (Q_e*(ln((sqrt(((r₂+r₁)^2)-e^2)+sqrt(((r₂-r₁)^2)-e^2))/(sqrt(((r₂+r₁)^2)-e^2)-sqrt(((r₂-r₁)^2)-e^2)))))/(2*pi*L_e*(T_ie-T_oe)) --> (3021.485*(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)))))/(2*pi*7*(25-20))

Evaluating ... ...

k_e = 15.0000006425146

STEP 3: Convert Result to Output's Unit

15.0000006425146 Watt per Meter per K --> No Conversion Required

FINAL ANSWER

15.0000006425146 ≈ 15 Watt per Meter per K <-- Eccentric Lagging Thermal Conductivity

(Calculation completed in 00.004 seconds)

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Created by Sai Venkata Phanindra Chary Arendra

Vallurupalli Nageswara Rao Vignana Jyothi Institute of Engineering and Technology (VNRVJIET), Hyderabad

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< 11 Other shapes Calculators

Inner surface temperature of pipe with eccentric lagging

Go Eccentric Lagging Inner Surface Temperature = (Eccentric Lagging Heat Flow Rate*((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))))))+Eccentric Lagging Outer Surface Temperature

Outer surface temperature of pipe with eccentric lagging

Go Eccentric Lagging Outer Surface Temperature = Eccentric Lagging Inner Surface Temperature-(Eccentric Lagging Heat Flow Rate*((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))))))

Heat flow rate through pipe with eccentric lagging

Go Eccentric Lagging Heat Flow Rate = (Eccentric Lagging Inner Surface Temperature-Eccentric Lagging Outer Surface Temperature)/((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)))))

Thermal conductivity for pipe with eccentric lagging

Go Eccentric Lagging Thermal Conductivity = (Eccentric Lagging Heat Flow Rate*(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)))))/(2*pi*Eccentric Lagging Length*(Eccentric Lagging Inner Surface Temperature-Eccentric Lagging Outer Surface Temperature))

Length of pipe with eccentric lagging

Go Eccentric Lagging Length = (Eccentric Lagging Heat Flow Rate*(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)))))/(2*pi*Eccentric Lagging Thermal Conductivity*(Eccentric Lagging Inner Surface Temperature-Eccentric Lagging Outer Surface Temperature))

Thermal resistance of pipe with eccentric lagging

Go 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))))

Heat flow through pipe in square section

Go Heat Flow Rate = (Inner Surface Temperature-Outer Surface Temperature)/((1/(2*pi*Length))*((1/(Inside Convection*Cylinder Radius))+((Length/Thermal Conductivity)*ln((1.08*Side of Square)/(2*Cylinder Radius)))+(pi/(2*External Convection*Side of Square))))

Inner surface temperature of pipe in square section

Go Inner Surface Temperature = (Heat Flow Rate*(1/(2*pi*Length))*((1/(Inside Convection*Cylinder Radius))+((Length/Thermal Conductivity)*ln((1.08*Side of Square)/(2*Cylinder Radius)))+(pi/(2*External Convection*Side of Square))))+Outer Surface Temperature

Outer surface temperature of pipe in square section

Go Outer Surface Temperature = Inner Surface Temperature-(Heat Flow Rate*(1/(2*pi*Length))*((1/(Inside Convection*Cylinder Radius))+((Length/Thermal Conductivity)*ln((1.08*Side of Square)/(2*Cylinder Radius)))+(pi/(2*External Convection*Side of Square))))

Thermal Resistance for Pipe in Square Section

Go Thermal Resistance = (1/(2*pi*Length))*((1/(Inside Convection*Cylinder Radius))+((Length/Thermal Conductivity)*ln((1.08*Side of Square)/(2*Cylinder Radius)))+(pi/(2*External Convection*Side of Square)))

Average Nusselt Number for Bingham Plastic Fluids from Isothermal Semi-Circular Cylinder

Go Average Nusselt Number = (1+(0.0023*Modified Prandtl Number))^(-1.23)*((0.51)*((Modified Rayleigh Number)^(0.25)))+Nusselt Number

Thermal conductivity for pipe with eccentric lagging Formula

What is thermal conductivity?

Thermal conductivity can be defined as the rate at which heat is transferred by conduction through a unit cross-section area of a material when a temperature gradient exists perpendicular to the area.

How to Calculate Thermal conductivity for pipe with eccentric lagging?

Thermal conductivity for pipe with eccentric lagging calculator uses Eccentric Lagging Thermal Conductivity = (Eccentric Lagging Heat Flow Rate*(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)))))/(2*pi*Eccentric Lagging Length*(Eccentric Lagging Inner Surface Temperature-Eccentric Lagging Outer Surface Temperature)) to calculate the Eccentric Lagging Thermal Conductivity, The Thermal conductivity for pipe with eccentric lagging formula is defined as the thermal conductivity of the material of the pipe with eccentric lagging required to maintain the given temperature difference across its inner and outer surfaces. Eccentric Lagging Thermal Conductivity is denoted by k_e symbol.

How to calculate Thermal conductivity for pipe with eccentric lagging using this online calculator? To use this online calculator for Thermal conductivity for pipe with eccentric lagging, enter Eccentric Lagging Heat Flow Rate (Q_e), Radius 2 (r₂), Radius 1 (r₁), Distance Between Centers of Eccentric Circles (e), Eccentric Lagging Length (L_e), Eccentric Lagging Inner Surface Temperature (T_ie) & Eccentric Lagging Outer Surface Temperature (T_oe) and hit the calculate button. Here is how the Thermal conductivity for pipe with eccentric lagging calculation can be explained with given input values -> 0.496445 = (3021.485*(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)))))/(2*pi*7*(25-20)).

FAQ

What is Thermal conductivity for pipe with eccentric lagging?

The Thermal conductivity for pipe with eccentric lagging formula is defined as the thermal conductivity of the material of the pipe with eccentric lagging required to maintain the given temperature difference across its inner and outer surfaces and is represented as k_e = (Q_e*(ln((sqrt(((r₂+r₁)^2)-e^2)+sqrt(((r₂-r₁)^2)-e^2))/(sqrt(((r₂+r₁)^2)-e^2)-sqrt(((r₂-r₁)^2)-e^2)))))/(2*pi*L_e*(T_ie-T_oe)) or Eccentric Lagging Thermal Conductivity = (Eccentric Lagging Heat Flow Rate*(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)))))/(2*pi*Eccentric Lagging Length*(Eccentric Lagging Inner Surface Temperature-Eccentric Lagging Outer Surface Temperature)). 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, Radius 2 is the radius of the second concentric circle or circle, 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, Distance Between Centers of Eccentric Circles is the distance between the centres of two circles that are eccentric to each other, Eccentric Lagging Length is the measurement or extent of something from end to end, 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 & 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).

How to calculate Thermal conductivity for pipe with eccentric lagging?

The Thermal conductivity for pipe with eccentric lagging formula is defined as the thermal conductivity of the material of the pipe with eccentric lagging required to maintain the given temperature difference across its inner and outer surfaces is calculated using Eccentric Lagging Thermal Conductivity = (Eccentric Lagging Heat Flow Rate*(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)))))/(2*pi*Eccentric Lagging Length*(Eccentric Lagging Inner Surface Temperature-Eccentric Lagging Outer Surface Temperature)). To calculate Thermal conductivity for pipe with eccentric lagging, you need Eccentric Lagging Heat Flow Rate (Q_e), Radius 2 (r₂), Radius 1 (r₁), Distance Between Centers of Eccentric Circles (e), Eccentric Lagging Length (L_e), Eccentric Lagging Inner Surface Temperature (T_ie) & Eccentric Lagging Outer Surface Temperature (T_oe). With our tool, you need to enter the respective value for Eccentric Lagging Heat Flow Rate, Radius 2, Radius 1, Distance Between Centers of Eccentric Circles, Eccentric Lagging Length, Eccentric Lagging Inner Surface Temperature & Eccentric Lagging Outer Surface Temperature and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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