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Outer Surface Temperature of Cylindrical Wall given Heat Flow Rate Formula

GoOuter Surface Temperature of Cylindrical Composite Wall of 2 Layers Formula

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Outer surface temperature is the temperature at the outer surface of the wall (either plane wall or cylindrical wall or spherical wall, etc). Check FAQs

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

T_o - Outer Surface Temperature?T_i - Inner Surface Temperature?Q - Heat Flow Rate?r₂ - Radius of 2nd Cylinder?r₁ - Radius of 1st Cylinder?k - Thermal Conductivity?l_cyl - Length of Cylinder?π - Archimedes' constant?

Outer Surface Temperature of Cylindrical Wall given Heat Flow Rate Example

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Here is how the Outer Surface Temperature of Cylindrical Wall given Heat Flow Rate equation looks like with Values.

Here is how the Outer Surface Temperature of Cylindrical Wall given Heat Flow Rate equation looks like with Units.

Here is how the Outer Surface Temperature of Cylindrical Wall given Heat Flow Rate equation looks like.

304.0188 = 305 - \frac{9.27 \cdot \ln (\frac{12}{0.8})}{2 \cdot 3.1416 \cdot 10.18 \cdot 0.4}

304.0188K = 305K - \frac{9.27W \cdot \ln (\frac{12m}{0.8m})}{2 \cdot 3.1416 \cdot 10.18W/(m*K) \cdot 0.4m}

304.0188 = 305 - \frac{9.27 \cdot \ln (\frac{12}{0.8})}{2 \cdot 3.1416 \cdot 10.18 \cdot 0.4}

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Outer Surface Temperature of Cylindrical Wall given Heat Flow Rate Solution

Follow our step by step solution on how to calculate Outer Surface Temperature of Cylindrical Wall given Heat Flow Rate?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

T o = 305K - \frac{9.27W \cdot \ln (\frac{12m}{0.8m})}{2 \cdot π \cdot 10.18W/(m*K) \cdot 0.4m}

Next Step Substitute values of Constants

∴

T o = 305K - \frac{9.27W \cdot \ln (\frac{12m}{0.8m})}{2 \cdot 3.1416 \cdot 10.18W/(m*K) \cdot 0.4m}

Next Step Prepare to Evaluate

∴

T o = 305 - \frac{9.27 \cdot \ln (\frac{12}{0.8})}{2 \cdot 3.1416 \cdot 10.18 \cdot 0.4}

Next Step Evaluate

∴

T o = 304.01881972833K

LAST Step Rounding Answer

∴

T o = 304.0188K

Outer Surface Temperature of Cylindrical Wall given Heat Flow Rate Formula Elements

Variables

Constants

Functions

Outer Surface Temperature

Outer surface temperature is the temperature at the outer surface of the wall (either plane wall or cylindrical wall or spherical wall, etc).

Symbol: T_o

Measurement: TemperatureUnit: K

Note: Value can be positive or negative.

Formulas to find Outer Surface Temperature

Inner Surface Temperature

Inner Surface Temperature is the temperature at the inner surface of the wall either plane wall or cylindrical wall or spherical wall, etc.

Symbol: T_i

Measurement: TemperatureUnit: K

Note: Value can be positive or negative.

Formulas to find Inner Surface Temperature

Heat Flow Rate

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.

Symbol: Q

Measurement: PowerUnit: W

Note: Value can be positive or negative.

Formulas to find Heat Flow Rate

Radius of 2nd Cylinder

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.

Symbol: r₂

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Radius of 2nd Cylinder

Radius of 1st Cylinder

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.

Symbol: r₁

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Radius of 1st Cylinder

Thermal Conductivity

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.

Symbol: k

Measurement: Thermal ConductivityUnit: W/(m*K)

Note: Value should be greater than 0.

Formulas to find Thermal Conductivity

Length of Cylinder

Length of Cylinder is the vertical height of the Cylinder.

Symbol: l_cyl

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Length of Cylinder

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

The natural logarithm, also known as the logarithm to the base e, is the inverse function of the natural exponential function.

Syntax: ln(Number)

Other Formulas to find Outer Surface Temperature

Go Outer Surface Temperature of Cylindrical Composite Wall of 2 Layers

T o = T i - Q \cdot (\frac{\ln (\frac{r 2}{r 1})}{2 \cdot π \cdot k 1 \cdot l cyl} + \frac{\ln (\frac{r 3}{r 2})}{2 \cdot π \cdot k 2 \cdot l cyl})

Other formulas in Conduction in Cylinder category

Go Total Thermal Resistance of 2 Cylindrical Resistances Connected in Series

R th = \frac{\ln (\frac{r 2}{r 1})}{2 \cdot π \cdot k 1 \cdot l cyl} + \frac{\ln (\frac{r 3}{r 2})}{2 \cdot π \cdot k 2 \cdot l cyl}

Go Total Thermal Resistance of 3 Cylindrical Resistances Connected in Series

R th = \frac{\ln (\frac{r 2}{r 1})}{2 \cdot π \cdot k 1 \cdot l cyl} + \frac{\ln (\frac{r 3}{r 2})}{2 \cdot π \cdot k 2 \cdot l cyl} + \frac{\ln (\frac{r 4}{r 3})}{2 \cdot π \cdot k 3 \cdot l cyl}

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

Outer Surface Temperature of Cylindrical Wall given Heat Flow Rate evaluator 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 evaluate 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 evaluate Outer Surface Temperature of Cylindrical Wall given Heat Flow Rate using this online evaluator? To use this online evaluator 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.

FAQs on Outer Surface Temperature of Cylindrical Wall given Heat Flow Rate

What is the formula to find Outer Surface Temperature of Cylindrical Wall given Heat Flow Rate?

The formula of Outer Surface Temperature of Cylindrical Wall given Heat Flow Rate is expressed as 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). Here is an example- 299.3933 = 305-(9.27*ln(12/0.8))/(2*pi*10.18*0.4).

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

With 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) we can find Outer Surface Temperature of Cylindrical Wall given Heat Flow Rate using the formula - 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). This formula also uses Archimedes' constant and Natural Logarithm (ln) function(s).

What are the other ways to Calculate Outer Surface Temperature?

Here are the different ways to Calculate Outer Surface Temperature-

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))

Can the Outer Surface Temperature of Cylindrical Wall given Heat Flow Rate be negative?

Yes, the Outer Surface Temperature of Cylindrical Wall given Heat Flow Rate, measured in Temperature can be negative.

Which unit is used to measure Outer Surface Temperature of Cylindrical Wall given Heat Flow Rate?

Outer Surface Temperature of Cylindrical Wall given Heat Flow Rate is usually measured using the Kelvin[K] for Temperature. Celsius[K], Fahrenheit[K], Rankine[K] are the few other units in which Outer Surface Temperature of Cylindrical Wall given Heat Flow Rate can be measured.

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Outer Surface Temperature of Cylindrical Wall given Heat Flow Rate Formula

​GoOuter Surface Temperature of Cylindrical Composite Wall of 2 Layers Formula

Outer Surface Temperature of Cylindrical Wall given Heat Flow Rate Example

Outer Surface Temperature of Cylindrical Wall given Heat Flow Rate Solution

Outer Surface Temperature of Cylindrical Wall given Heat Flow Rate Formula Elements

Other Formulas to find Outer Surface Temperature

Other formulas in Conduction in Cylinder category

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

FAQs on Outer Surface Temperature of Cylindrical Wall given Heat Flow Rate

Variable Name

GoOuter Surface Temperature of Cylindrical Composite Wall of 2 Layers Formula