Inner Surface Temperature of Cylindrical Wall in Conduction Calculator

✖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%
✖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%

✖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 Cylindrical Wall in Conduction [T_i]

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Formula

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Inner Surface Temperature of Cylindrical Wall in Conduction

Formula

T i = T o + \frac{Q \cdot \ln (\frac{r 2}{r 1})}{2 \cdot π \cdot k \cdot l cyl}

Example

300.9812 K = 300 K + \frac{9.27 W \cdot \ln (\frac{12 m}{0.8 m})}{2 \cdot π \cdot 10.18 W/(m*K) \cdot 0.4 m}

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Inner Surface Temperature of Cylindrical Wall in Conduction Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

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).
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

Outer Surface Temperature: 300 Kelvin --> 300 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_i = T_o+(Q*ln(r₂/r₁))/(2*pi*k*l_cyl) --> 300+(9.27*ln(12/0.8))/(2*pi*10.18*0.4)

Evaluating ... ...

T_i = 300.98118027167

STEP 3: Convert Result to Output's Unit

300.98118027167 Kelvin --> No Conversion Required

FINAL ANSWER

300.98118027167 ≈ 300.9812 Kelvin <-- Inner Surface Temperature

(Calculation completed in 00.004 seconds)

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Home » Physics » Heat and Mass Transfer » Conduction » Mechanical » Conduction in Cylinder » Inner Surface Temperature of Cylindrical Wall in Conduction

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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

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

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

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

Inner Surface Temperature of Cylindrical Wall in Conduction 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 Cylindrical Wall in Conduction?

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

How to calculate Inner Surface Temperature of Cylindrical Wall in Conduction using this online calculator? To use this online calculator for Inner Surface Temperature of Cylindrical Wall in Conduction, enter Outer Surface Temperature (T_o), 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 Inner Surface Temperature of Cylindrical Wall in Conduction calculation can be explained with given input values -> 305.6067 = 300+(9.27*ln(12/0.8))/(2*pi*10.18*0.4).

FAQ

What is Inner Surface Temperature of Cylindrical Wall in Conduction?

The Inner Surface Temperature of Cylindrical Wall in Conduction formula is defined as the temperature at the inner surface of the cylindrical wall for a given heat flow rate, outer surface temperature, cylinder length, and thermal conductivity and is represented as T_i = T_o+(Q*ln(r₂/r₁))/(2*pi*k*l_cyl) or Inner Surface Temperature = Outer Surface Temperature+(Heat Flow Rate*ln(Radius of 2nd Cylinder/Radius of 1st Cylinder))/(2*pi*Thermal Conductivity*Length of Cylinder). Outer surface temperature is the temperature at the outer 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 Inner Surface Temperature of Cylindrical Wall in Conduction?

The Inner Surface Temperature of Cylindrical Wall in Conduction formula is defined as the temperature at the inner surface of the cylindrical wall for a given heat flow rate, outer surface temperature, cylinder length, and thermal conductivity is calculated using Inner Surface Temperature = Outer Surface Temperature+(Heat Flow Rate*ln(Radius of 2nd Cylinder/Radius of 1st Cylinder))/(2*pi*Thermal Conductivity*Length of Cylinder). To calculate Inner Surface Temperature of Cylindrical Wall in Conduction, you need Outer Surface Temperature (T_o), 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 Outer 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.

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