Outer Surface Temperature of Cylindrical Wall given Heat Flow Rate 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%
✖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%
✖Radius of 2nd Cylinder is the distance from the center of the concentric circles to any point on the Second concentric circle or radius of the third circle.ⓘ Radius of 2nd Cylinder [r₂]			+10% -10%
✖Radius of 1st Cylinder is the distance from the center of the concentric circles to any point on the first/smallest concentric circle for the first cylinder in the series.ⓘ Radius of 1st Cylinder [r₁]			+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%
✖Length of Cylinder is the vertical height of the Cylinder.ⓘ Length of Cylinder [l_cyl]			+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 of Cylindrical Wall given Heat Flow Rate [T_o]

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Outer Surface Temperature of Cylindrical Wall given Heat Flow Rate Solution

STEP 0: Pre-Calculation Summary

Formula Used

Outer Surface Temperature = Inner Surface Temperature-(Heat Flow Rate*ln(Radius of 2nd Cylinder/Radius of 1st Cylinder))/(2*pi*Thermal Conductivity*Length of Cylinder)
T_o = T_i-(Q*ln(r₂/r₁))/(2*pi*k*l_cyl)
This formula uses 1 Constants, 1 Functions, 7 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

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).
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.
Radius of 2nd Cylinder - (Measured in Meter) - Radius of 2nd Cylinder is the distance from the center of the concentric circles to any point on the Second concentric circle or radius of the third circle.
Radius of 1st Cylinder - (Measured in Meter) - Radius of 1st Cylinder is the distance from the center of the concentric circles to any point on the first/smallest concentric circle for the first cylinder in the series.
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.
Length of Cylinder - (Measured in Meter) - Length of Cylinder is the vertical height of the Cylinder.

STEP 1: Convert Input(s) to Base Unit

Inner Surface Temperature: 305 Kelvin --> 305 Kelvin No Conversion Required
Heat Flow Rate: 9.27 Watt --> 9.27 Watt No Conversion Required
Radius of 2nd Cylinder: 12 Meter --> 12 Meter No Conversion Required
Radius of 1st Cylinder: 0.8 Meter --> 0.8 Meter No Conversion Required
Thermal Conductivity: 10.18 Watt per Meter per K --> 10.18 Watt per Meter per K No Conversion Required
Length of Cylinder: 0.4 Meter --> 0.4 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

T_o = T_i-(Q*ln(r₂/r₁))/(2*pi*k*l_cyl) --> 305-(9.27*ln(12/0.8))/(2*pi*10.18*0.4)

Evaluating ... ...

T_o = 304.01881972833

STEP 3: Convert Result to Output's Unit

304.01881972833 Kelvin --> No Conversion Required

FINAL ANSWER

304.01881972833 ≈ 304.0188 Kelvin <-- Outer Surface Temperature

(Calculation completed in 00.004 seconds)

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Home » Physics » Heat and Mass Transfer » Conduction » Mechanical » Conduction in Cylinder » Outer Surface Temperature of Cylindrical Wall given Heat Flow Rate

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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 Vinay Mishra

Indian Institute for Aeronautical Engineering and Information Technology (IIAEIT), Pune

Vinay Mishra has verified this Calculator and 100+ more calculators!

< Conduction in Cylinder Calculators

Total Thermal Resistance of 3 Cylindrical Resistances Connected in Series

LaTeX Go Thermal Resistance = (ln(Radius of 2nd Cylinder/Radius of 1st Cylinder))/(2*pi*Thermal Conductivity 1*Length of Cylinder)+(ln(Radius of 3rd Cylinder/Radius of 2nd Cylinder))/(2*pi*Thermal Conductivity 2*Length of Cylinder)+(ln(Radius of 4th Cylinder/Radius of 3rd Cylinder))/(2*pi*Thermal Conductivity 3*Length of Cylinder)

Total Thermal Resistance of Cylindrical Wall with Convection on Both Sides

LaTeX Go Thermal Resistance = 1/(2*pi*Radius of 1st Cylinder*Length of Cylinder*Inside Convection Heat Transfer Coefficient)+(ln(Radius of 2nd Cylinder/Radius of 1st Cylinder))/(2*pi*Thermal Conductivity*Length of Cylinder)+1/(2*pi*Radius of 2nd Cylinder*Length of Cylinder*External Convection Heat Transfer Coefficient)

Total Thermal Resistance of 2 Cylindrical Resistances Connected in Series

Thermal Resistance for Radial Heat Conduction in Cylinders

LaTeX Go Thermal Resistance = ln(Outer Radius/Inner Radius)/(2*pi*Thermal Conductivity*Length of Cylinder)

Outer Surface Temperature of Cylindrical Wall given Heat Flow Rate Formula

LaTeX Go

What happens when the inner and outer surface temperatures are same?

Same inner and outer surface temperatures at steady-state indicate that there is no thermal potential difference and hence there will no heat transfer.

How to Calculate Outer Surface Temperature of Cylindrical Wall given Heat Flow Rate?

Outer Surface Temperature of Cylindrical Wall given Heat Flow Rate calculator uses Outer Surface Temperature = Inner Surface Temperature-(Heat Flow Rate*ln(Radius of 2nd Cylinder/Radius of 1st Cylinder))/(2*pi*Thermal Conductivity*Length of Cylinder) to calculate the Outer Surface Temperature, The Outer Surface Temperature of Cylindrical Wall given Heat Flow Rate formula is defined as the temperature at the outer surface of the cylindrical wall for a given heat flow rate through it in the radial direction, inner wall temperature, inner and outer radii, and length of the cylinder. Outer Surface Temperature is denoted by T_o symbol.

How to calculate Outer Surface Temperature of Cylindrical Wall given Heat Flow Rate using this online calculator? To use this online calculator for Outer Surface Temperature of Cylindrical Wall given Heat Flow Rate, enter Inner Surface Temperature (T_i), Heat Flow Rate (Q), Radius of 2nd Cylinder (r₂), Radius of 1st Cylinder (r₁), Thermal Conductivity (k) & Length of Cylinder (l_cyl) and hit the calculate button. Here is how the Outer Surface Temperature of Cylindrical Wall given Heat Flow Rate calculation can be explained with given input values -> 299.3933 = 305-(9.27*ln(12/0.8))/(2*pi*10.18*0.4).

FAQ

What is Outer Surface Temperature of Cylindrical Wall given Heat Flow Rate?

The Outer Surface Temperature of Cylindrical Wall given Heat Flow Rate formula is defined as the temperature at the outer surface of the cylindrical wall for a given heat flow rate through it in the radial direction, inner wall temperature, inner and outer radii, and length of the cylinder and is represented as T_o = T_i-(Q*ln(r₂/r₁))/(2*pi*k*l_cyl) or Outer Surface Temperature = Inner Surface Temperature-(Heat Flow Rate*ln(Radius of 2nd Cylinder/Radius of 1st Cylinder))/(2*pi*Thermal Conductivity*Length of Cylinder). 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 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, Radius of 2nd Cylinder is the distance from the center of the concentric circles to any point on the Second concentric circle or radius of the third circle, Radius of 1st Cylinder is the distance from the center of the concentric circles to any point on the first/smallest concentric circle for the first cylinder in the series, 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 & Length of Cylinder is the vertical height of the Cylinder.

How to calculate Outer Surface Temperature of Cylindrical Wall given Heat Flow Rate?

The Outer Surface Temperature of Cylindrical Wall given Heat Flow Rate formula is defined as the temperature at the outer surface of the cylindrical wall for a given heat flow rate through it in the radial direction, inner wall temperature, inner and outer radii, and length of the cylinder is calculated using Outer Surface Temperature = Inner Surface Temperature-(Heat Flow Rate*ln(Radius of 2nd Cylinder/Radius of 1st Cylinder))/(2*pi*Thermal Conductivity*Length of Cylinder). To calculate Outer Surface Temperature of Cylindrical Wall given Heat Flow Rate, you need Inner Surface Temperature (T_i), Heat Flow Rate (Q), Radius of 2nd Cylinder (r₂), Radius of 1st Cylinder (r₁), Thermal Conductivity (k) & Length of Cylinder (l_cyl). With our tool, you need to enter the respective value for Inner Surface Temperature, Heat Flow Rate, Radius of 2nd Cylinder, Radius of 1st Cylinder, Thermal Conductivity & Length of Cylinder and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Outer Surface Temperature?

In this formula, Outer Surface Temperature uses Inner Surface Temperature, Heat Flow Rate, Radius of 2nd Cylinder, Radius of 1st Cylinder, Thermal Conductivity & Length of Cylinder. We can use 1 other way(s) to calculate the same, which is/are as follows -

Outer Surface Temperature = Inner Surface Temperature-Heat Flow Rate*((ln(Radius of 2nd Cylinder/Radius of 1st Cylinder))/(2*pi*Thermal Conductivity 1*Length of Cylinder)+(ln(Radius of 3rd Cylinder/Radius of 2nd Cylinder))/(2*pi*Thermal Conductivity 2*Length of Cylinder))

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