Heat flow rate through pipe with eccentric lagging Calculator

✖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.ⓘ 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 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.ⓘ Heat flow rate through pipe with eccentric lagging [Q_e]

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Heat flow rate through pipe with eccentric lagging Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)))))
Q_e = (T_ie-T_oe)/((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)))))
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 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 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).
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.

STEP 1: Convert Input(s) to Base Unit

Eccentric Lagging Inner Surface Temperature: 25 Kelvin --> 25 Kelvin No Conversion Required
Eccentric Lagging Outer Surface Temperature: 20 Kelvin --> 20 Kelvin 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

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Q_e = (T_ie-T_oe)/((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))))) --> (25-20)/((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)))))

Evaluating ... ...

Q_e = 3021.48487057679

STEP 3: Convert Result to Output's Unit

3021.48487057679 Watt --> No Conversion Required

FINAL ANSWER

3021.48487057679 ≈ 3021.485 Watt <-- Eccentric Lagging Heat Flow Rate

(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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< 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)))

Heat flow rate through pipe with eccentric lagging Formula

LaTeX Go

What is heat flow rate?

The rate of heat flow is the amount of heat that is transferred per unit of time in some material, usually measured in watt (joules per second). Heat is the flow of thermal energy driven by thermal non-equilibrium

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.

How to Calculate Heat flow rate through pipe with eccentric lagging?

Heat flow rate through pipe with eccentric lagging calculator uses 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))))) to calculate the Eccentric Lagging Heat Flow Rate, The Heat flow rate through pipe with eccentric lagging formula is defined as the rate of heat flow through a pipe with eccentric lagging without convection. Eccentric Lagging Heat Flow Rate is denoted by Q_e symbol.

How to calculate Heat flow rate through pipe with eccentric lagging using this online calculator? To use this online calculator for Heat flow rate through pipe with eccentric lagging, enter Eccentric Lagging Inner Surface Temperature (T_ie), Eccentric Lagging Outer Surface Temperature (T_oe), 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. Here is how the Heat flow rate through pipe with eccentric lagging calculation can be explained with given input values -> 3021.485 = (25-20)/((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))))).

FAQ

What is Heat flow rate through pipe with eccentric lagging?

The Heat flow rate through pipe with eccentric lagging formula is defined as the rate of heat flow through a pipe with eccentric lagging without convection and is represented as Q_e = (T_ie-T_oe)/((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))))) or 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))))). 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), 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.

How to calculate Heat flow rate through pipe with eccentric lagging?

The Heat flow rate through pipe with eccentric lagging formula is defined as the rate of heat flow through a pipe with eccentric lagging without convection is calculated using 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))))). To calculate Heat flow rate through pipe with eccentric lagging, you need Eccentric Lagging Inner Surface Temperature (T_ie), Eccentric Lagging Outer Surface Temperature (T_oe), Eccentric Lagging Thermal Conductivity (k_e), Eccentric Lagging Length (L_e), Radius 2 (r₂), Radius 1 (r₁) & Distance Between Centers of Eccentric Circles (e). With our tool, you need to enter the respective value for Eccentric Lagging Inner Surface Temperature, Eccentric Lagging Outer Surface Temperature, Eccentric Lagging Thermal Conductivity, Eccentric Lagging Length, Radius 2, Radius 1 & Distance Between Centers of Eccentric Circles 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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