Inner surface temperature of 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%
✖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 Thermal Conductivity [k_e]			+10% -10%
✖Eccentric Lagging Length is the measurement or extent of something from end to end.ⓘ Eccentric Lagging Length [L_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 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 Inner Surface Temperature is the temperature at the inner surface of the wall either plane wall or cylindrical wall or spherical wall, etc.ⓘ Inner surface temperature of pipe with eccentric lagging [T_ie]

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Inner surface temperature of pipe with eccentric lagging Solution

STEP 0: Pre-Calculation Summary

Formula Used

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
T_ie = (Q_e*((1/(2*pi*k_e*L_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))))))+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 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 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.
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 Length - (Measured in Meter) - Eccentric Lagging Length is the measurement or extent of something from end to end.
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 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
Eccentric Lagging Thermal Conductivity: 15 Watt per Meter per K --> 15 Watt per Meter per K No Conversion Required
Eccentric Lagging Length: 7 Meter --> 7 Meter 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 Outer Surface Temperature: 20 Kelvin --> 20 Kelvin No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

T_ie = (Q_e*((1/(2*pi*k_e*L_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))))))+T_oe --> (3021.485*((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))))))+20

Evaluating ... ...

T_ie = 25.0000002141715

STEP 3: Convert Result to Output's Unit

25.0000002141715 Kelvin --> No Conversion Required

FINAL ANSWER

25.0000002141715 ≈ 25 Kelvin <-- Eccentric Lagging Inner Surface Temperature

(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

Sai Venkata Phanindra Chary Arendra has created this Calculator and 100+ more calculators!

Verified by Rajat Vishwakarma

University Institute of Technology RGPV (UIT - RGPV), Bhopal

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< Other shapes Calculators

Heat flow rate through pipe with eccentric lagging

LaTeX 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 resistance of pipe with eccentric lagging

LaTeX 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

LaTeX 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))))

Thermal Resistance for Pipe in Square Section

LaTeX 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)))

Inner surface temperature of pipe with eccentric lagging Formula

LaTeX Go

What are eccentric circles?

Eccentric circles are circles that lie one inside the other and do not share the same center and do not intersect each other.

What is temperature?

Temperature is a physical quantity that expresses hot and cold. It is the manifestation of thermal energy, present in all matter, which is the source of the occurrence of heat, a flow of energy, when a body is in contact with another that is colder or hotter.

How to Calculate Inner surface temperature of pipe with eccentric lagging?

Inner surface temperature of pipe with eccentric lagging calculator uses 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 to calculate the Eccentric Lagging Inner Surface Temperature, The Inner surface temperature of pipe with eccentric lagging formula is defined as the temperature at the inner surface of the pipe with eccentric lagging without convection on either side and when the heat flow rate, outer surface temperature, thermal conductivity and dimensions are known. Eccentric Lagging Inner Surface Temperature is denoted by T_ie symbol.

How to calculate Inner surface temperature of pipe with eccentric lagging using this online calculator? To use this online calculator for Inner surface temperature of pipe with eccentric lagging, enter Eccentric Lagging Heat Flow Rate (Q_e), Eccentric Lagging Thermal Conductivity (k_e), Eccentric Lagging Length (L_e), Radius 2 (r₂), Radius 1 (r₁), Distance Between Centers of Eccentric Circles (e) & Eccentric Lagging Outer Surface Temperature (T_oe) and hit the calculate button. Here is how the Inner surface temperature of pipe with eccentric lagging calculation can be explained with given input values -> 20.16548 = (3021.485*((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))))))+20.

FAQ

What is Inner surface temperature of pipe with eccentric lagging?

The Inner surface temperature of pipe with eccentric lagging formula is defined as the temperature at the inner surface of the pipe with eccentric lagging without convection on either side and when the heat flow rate, outer surface temperature, thermal conductivity and dimensions are known and is represented as T_ie = (Q_e*((1/(2*pi*k_e*L_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))))))+T_oe or 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. 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 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 Length is the measurement or extent of something from end to end, 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 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 Inner surface temperature of pipe with eccentric lagging?

The Inner surface temperature of pipe with eccentric lagging formula is defined as the temperature at the inner surface of the pipe with eccentric lagging without convection on either side and when the heat flow rate, outer surface temperature, thermal conductivity and dimensions are known is calculated using 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. To calculate Inner surface temperature of pipe with eccentric lagging, you need Eccentric Lagging Heat Flow Rate (Q_e), Eccentric Lagging Thermal Conductivity (k_e), Eccentric Lagging Length (L_e), Radius 2 (r₂), Radius 1 (r₁), Distance Between Centers of Eccentric Circles (e) & Eccentric Lagging Outer Surface Temperature (T_oe). With our tool, you need to enter the respective value for Eccentric Lagging Heat Flow Rate, Eccentric Lagging Thermal Conductivity, Eccentric Lagging Length, Radius 2, Radius 1, Distance Between Centers of Eccentric Circles & 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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