Heat flow through pipe in square section Calculator

✖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 [T_i]			+10% -10%
✖Outer surface temperature is the temperature at the outer surface of the wall (either plane wall or cylindrical wall or spherical wall, etc).ⓘ Outer Surface Temperature [T_o]			+10% -10%
✖Length is the measurement or extent of something from end to end.ⓘ Length [L]			+10% -10%
✖Inside Convection Heat Transfer Coefficient is the coefficient of convection heat transfer at the inside surface of the body or object or wall, etc.ⓘ Inside Convection [h_i]			+10% -10%
✖The Cylinder Radius is the radius of its base.ⓘ Cylinder Radius [R]			+10% -10%
✖Thermal Conductivity is rate of heat passes through specified material, 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 [k]			+10% -10%
✖Side of square is defined as the length of the sides of the square. In the square all four sides are equal and all four angles are 90 degrees.ⓘ Side of Square [a]			+10% -10%
✖External Convection Heat Transfer Coefficient is the proportionality constant between the heat flux and the thermodynamic driving force for the flow of heat in case of convective heat transfer.ⓘ External Convection [h_o]			+10% -10%

✖Heat Flow Rate is the amount of heat that is transferred per unit of time in some material, usually measured in watt. Heat is the flow of thermal energy driven by thermal non-equilibrium.ⓘ Heat flow through pipe in square section [Q]

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Heat flow through pipe in square section

Formula

`"Q" = ("T"_{"i"}-"T"_{"o"})/((1/(2*pi*"L"))*((1/("h"_{"i"}*"R"))+(("L"/"k")*ln((1.08*"a")/(2*"R")))+(pi/(2*"h"_{"o"}*"a"))))`

Example

`"100.0001W"=("302.094K"-"300K")/((1/(2*pi*"3m"))*((1/("12W/m²*K"*"1.5m"))+(("3m"/"10W/(m*K)")*ln((1.08*"8m")/(2*"1.5m")))+(pi/(2*"9W/m²*K"*"8m"))))`

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Heat flow through pipe in square section Solution

STEP 0: Pre-Calculation Summary

Formula Used

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))))
Q = (T_i-T_o)/((1/(2*pi*L))*((1/(h_i*R))+((L/k)*ln((1.08*a)/(2*R)))+(pi/(2*h_o*a))))
This formula uses 1 Constants, 1 Functions, 9 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)

Variables Used

Heat Flow Rate - (Measured in Watt) - Heat Flow Rate is the amount of heat that is transferred per unit of time in some material, usually measured in watt. Heat is the flow of thermal energy driven by thermal non-equilibrium.
Inner Surface Temperature - (Measured in Kelvin) - Inner Surface Temperature is the temperature at the inner surface of the wall either plane wall or cylindrical wall or spherical wall, etc.
Outer Surface Temperature - (Measured in Kelvin) - Outer surface temperature is the temperature at the outer surface of the wall (either plane wall or cylindrical wall or spherical wall, etc).
Length - (Measured in Meter) - Length is the measurement or extent of something from end to end.
Inside Convection - (Measured in Watt per Square Meter per Kelvin) - Inside Convection Heat Transfer Coefficient is the coefficient of convection heat transfer at the inside surface of the body or object or wall, etc.
Cylinder Radius - (Measured in Meter) - The Cylinder Radius is the radius of its base.
Thermal Conductivity - (Measured in Watt per Meter per K) - Thermal Conductivity is rate of heat passes through specified material, expressed as amount of heat flows per unit time through a unit area with a temperature gradient of one degree per unit distance.
Side of Square - (Measured in Meter) - Side of square is defined as the length of the sides of the square. In the square all four sides are equal and all four angles are 90 degrees.
External Convection - (Measured in Watt per Square Meter per Kelvin) - External Convection Heat Transfer Coefficient is the proportionality constant between the heat flux and the thermodynamic driving force for the flow of heat in case of convective heat transfer.

STEP 1: Convert Input(s) to Base Unit

Inner Surface Temperature: 302.094 Kelvin --> 302.094 Kelvin No Conversion Required
Outer Surface Temperature: 300 Kelvin --> 300 Kelvin No Conversion Required
Length: 3 Meter --> 3 Meter No Conversion Required
Inside Convection: 12 Watt per Square Meter per Kelvin --> 12 Watt per Square Meter per Kelvin No Conversion Required
Cylinder Radius: 1.5 Meter --> 1.5 Meter No Conversion Required
Thermal Conductivity: 10 Watt per Meter per K --> 10 Watt per Meter per K No Conversion Required
Side of Square: 8 Meter --> 8 Meter No Conversion Required
External Convection: 9 Watt per Square Meter per Kelvin --> 9 Watt per Square Meter per Kelvin No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Q = (T_i-T_o)/((1/(2*pi*L))*((1/(h_i*R))+((L/k)*ln((1.08*a)/(2*R)))+(pi/(2*h_o*a)))) --> (302.094-300)/((1/(2*pi*3))*((1/(12*1.5))+((3/10)*ln((1.08*8)/(2*1.5)))+(pi/(2*9*8))))

Evaluating ... ...

Q = 100.000111866436

STEP 3: Convert Result to Output's Unit

100.000111866436 Watt --> No Conversion Required

FINAL ANSWER

100.000111866436 ≈ 100.0001 Watt <-- 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

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

Rajat Vishwakarma has verified this Calculator and 400+ more calculators!

< 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

Heat flow through pipe in square section Formula

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

How to Calculate Heat flow through pipe in square section?

Heat flow through pipe in square section calculator uses 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)))) to calculate the Heat Flow Rate, The Heat flow through pipe in square section formula is defined as the rate of heat flow through a pipe in a square section with convection on either side. Heat Flow Rate is denoted by Q symbol.

How to calculate Heat flow through pipe in square section using this online calculator? To use this online calculator for Heat flow through pipe in square section, enter Inner Surface Temperature (T_i), Outer Surface Temperature (T_o), Length (L), Inside Convection (h_i), Cylinder Radius (R), Thermal Conductivity (k), Side of Square (a) & External Convection (h_o) and hit the calculate button. Here is how the Heat flow through pipe in square section calculation can be explained with given input values -> 170.3775 = (302.094-300)/((1/(2*pi*3))*((1/(12*1.5))+((3/10)*ln((1.08*8)/(2*1.5)))+(pi/(2*9*8)))).

FAQ

What is Heat flow through pipe in square section?

The Heat flow through pipe in square section formula is defined as the rate of heat flow through a pipe in a square section with convection on either side and is represented as Q = (T_i-T_o)/((1/(2*pi*L))*((1/(h_i*R))+((L/k)*ln((1.08*a)/(2*R)))+(pi/(2*h_o*a)))) or 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 is the temperature at the inner surface of the wall either plane wall or cylindrical wall or spherical wall, etc, Outer surface temperature is the temperature at the outer surface of the wall (either plane wall or cylindrical wall or spherical wall, etc), Length is the measurement or extent of something from end to end, Inside Convection Heat Transfer Coefficient is the coefficient of convection heat transfer at the inside surface of the body or object or wall, etc, The Cylinder Radius is the radius of its base, Thermal Conductivity is rate of heat passes through specified material, expressed as amount of heat flows per unit time through a unit area with a temperature gradient of one degree per unit distance, Side of square is defined as the length of the sides of the square. In the square all four sides are equal and all four angles are 90 degrees & External Convection Heat Transfer Coefficient is the proportionality constant between the heat flux and the thermodynamic driving force for the flow of heat in case of convective heat transfer.

How to calculate Heat flow through pipe in square section?

The Heat flow through pipe in square section formula is defined as the rate of heat flow through a pipe in a square section with convection on either side is calculated using 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)))). To calculate Heat flow through pipe in square section, you need Inner Surface Temperature (T_i), Outer Surface Temperature (T_o), Length (L), Inside Convection (h_i), Cylinder Radius (R), Thermal Conductivity (k), Side of Square (a) & External Convection (h_o). With our tool, you need to enter the respective value for Inner Surface Temperature, Outer Surface Temperature, Length, Inside Convection, Cylinder Radius, Thermal Conductivity, Side of Square & External Convection 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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