Inner surface temperature of pipe in square section Calculator

✖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 Rate [Q]			+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%
✖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%

✖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 in square section [T_i]

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Formula

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Inner surface temperature of pipe in square section

Formula

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

Example

`"302.094K"=("100W"*(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"))))+"300K"`

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Inner surface temperature of pipe in square section Solution

STEP 0: Pre-Calculation Summary

Formula Used

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
T_i = (Q*(1/(2*pi*L))*((1/(h_i*R))+((L/k)*ln((1.08*a)/(2*R)))+(pi/(2*h_o*a))))+T_o
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

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.
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.
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.
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).

STEP 1: Convert Input(s) to Base Unit

Heat Flow Rate: 100 Watt --> 100 Watt 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
Outer Surface Temperature: 300 Kelvin --> 300 Kelvin No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

T_i = (Q*(1/(2*pi*L))*((1/(h_i*R))+((L/k)*ln((1.08*a)/(2*R)))+(pi/(2*h_o*a))))+T_o --> (100*(1/(2*pi*3))*((1/(12*1.5))+((3/10)*ln((1.08*8)/(2*1.5)))+(pi/(2*9*8))))+300

Evaluating ... ...

T_i = 302.093997657519

STEP 3: Convert Result to Output's Unit

302.093997657519 Kelvin --> No Conversion Required

FINAL ANSWER

302.093997657519 ≈ 302.094 Kelvin <-- Inner Surface Temperature

(Calculation completed in 00.016 seconds)

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Credits

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

Inner surface temperature of pipe in square section Formula

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 in square section?

Inner surface temperature of pipe in square section calculator uses 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 to calculate the Inner Surface Temperature, The Inner surface temperature of pipe in square section formula is defined as the temperature at the inner surface of the pipe in the square section with convection on either side and heat flow rate, outer surface temperature, body dimensions are known. Inner Surface Temperature is denoted by T_i symbol.

How to calculate Inner surface temperature of pipe in square section using this online calculator? To use this online calculator for Inner surface temperature of pipe in square section, enter Heat Flow Rate (Q), Length (L), Inside Convection (h_i), Cylinder Radius (R), Thermal Conductivity (k), Side of Square (a), External Convection (h_o) & Outer Surface Temperature (T_o) and hit the calculate button. Here is how the Inner surface temperature of pipe in square section calculation can be explained with given input values -> 302.094 = (100*(1/(2*pi*3))*((1/(12*1.5))+((3/10)*ln((1.08*8)/(2*1.5)))+(pi/(2*9*8))))+300.

FAQ

What is Inner surface temperature of pipe in square section?

The Inner surface temperature of pipe in square section formula is defined as the temperature at the inner surface of the pipe in the square section with convection on either side and heat flow rate, outer surface temperature, body dimensions are known and is represented as T_i = (Q*(1/(2*pi*L))*((1/(h_i*R))+((L/k)*ln((1.08*a)/(2*R)))+(pi/(2*h_o*a))))+T_o or 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. 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, 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 & 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 in square section?

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