FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Thermal Resistance for Radial Heat Conduction in Cylinders Formula

Fx Copy

LaTeX Copy

Thermal resistance is a heat property and a measurement of a temperature difference by which an object or material resists a heat flow. Check FAQs

R th = \frac{\ln (\frac{r o}{r i})}{2 \cdot π \cdot k \cdot l cyl}

R_th - Thermal Resistance?r_o - Outer Radius?r_i - Inner Radius?k - Thermal Conductivity?l_cyl - Length of Cylinder?π - Archimedes' constant?

Thermal Resistance for Radial Heat Conduction in Cylinders Example

With values

With units

Only example

Here is how the Thermal Resistance for Radial Heat Conduction in Cylinders equation looks like with Values.

Here is how the Thermal Resistance for Radial Heat Conduction in Cylinders equation looks like with Units.

Here is how the Thermal Resistance for Radial Heat Conduction in Cylinders equation looks like.

0.023 = \frac{\ln (\frac{9}{5})}{2 \cdot 3.1416 \cdot 10.18 \cdot 0.4}

0.023K/W = \frac{\ln (\frac{9m}{5m})}{2 \cdot 3.1416 \cdot 10.18W/(m*K) \cdot 0.4m}

0.023 = \frac{\ln (\frac{9}{5})}{2 \cdot 3.1416 \cdot 10.18 \cdot 0.4}

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Physics » Category

Mechanical » Category

Heat and Mass Transfer » fx Thermal Resistance for Radial Heat Conduction in Cylinders

Thermal Resistance for Radial Heat Conduction in Cylinders Solution

Follow our step by step solution on how to calculate Thermal Resistance for Radial Heat Conduction in Cylinders?

FIRST Step Consider the formula

R th = \frac{\ln (\frac{r o}{r i})}{2 \cdot π \cdot k \cdot l cyl}

Next Step Substitute values of Variables

∴

R th = \frac{\ln (\frac{9m}{5m})}{2 \cdot π \cdot 10.18W/(m*K) \cdot 0.4m}

Next Step Substitute values of Constants

∴

R th = \frac{\ln (\frac{9m}{5m})}{2 \cdot 3.1416 \cdot 10.18W/(m*K) \cdot 0.4m}

Next Step Prepare to Evaluate

∴

R th = \frac{\ln (\frac{9}{5})}{2 \cdot 3.1416 \cdot 10.18 \cdot 0.4}

Next Step Evaluate

∴

R th = 0.0229737606096934K/W

LAST Step Rounding Answer

∴

R th = 0.023K/W

Thermal Resistance for Radial Heat Conduction in Cylinders Formula Elements

Variables

Constants

Functions

Thermal Resistance

Thermal resistance is a heat property and a measurement of a temperature difference by which an object or material resists a heat flow.

Symbol: R_th

Measurement: Thermal ResistanceUnit: K/W

Note: Value can be positive or negative.

Formulas to find Thermal Resistance

Outer Radius

The Outer Radius of any figure is the radius of a larger circle of the two concentric circles that form its boundary.

Symbol: r_o

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Outer Radius

Inner Radius

The Inner Radius of any figure is the radius of its cavity and the smaller radius among two concentric circles.

Symbol: r_i

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Inner Radius

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 in Conduction in Cylinder category

Go Conduction Shape Factor of Corner

S corner = 0.15 \cdot t wall

Go Conduction Shape Factor of Edge

S edge = 0.54 \cdot D

Go Conduction Shape Factor of Wall

S Wall = \frac{A}{t wall}

Go Conduction Thermal Resistance in Slab

R th = \frac{t slab}{k \cdot A slab}

How to Evaluate Thermal Resistance for Radial Heat Conduction in Cylinders?

Thermal Resistance for Radial Heat Conduction in Cylinders evaluator uses Thermal Resistance = ln(Outer Radius/Inner Radius)/(2*pi*Thermal Conductivity*Length of Cylinder) to evaluate the Thermal Resistance, The Thermal Resistance for Radial Heat Conduction in Cylinders formula is defined as the thermal resistance offered by a cylinder for conduction of heat in the radial direction. Thermal Resistance is denoted by R_th symbol.

How to evaluate Thermal Resistance for Radial Heat Conduction in Cylinders using this online evaluator? To use this online evaluator for Thermal Resistance for Radial Heat Conduction in Cylinders, enter Outer Radius (r_o), Inner Radius (r_i), Thermal Conductivity (k) & Length of Cylinder (l_cyl) and hit the calculate button.

FAQs on Thermal Resistance for Radial Heat Conduction in Cylinders

What is the formula to find Thermal Resistance for Radial Heat Conduction in Cylinders?

The formula of Thermal Resistance for Radial Heat Conduction in Cylinders is expressed as Thermal Resistance = ln(Outer Radius/Inner Radius)/(2*pi*Thermal Conductivity*Length of Cylinder). Here is an example- 0.022974 = ln(9/5)/(2*pi*10.18*0.4).

How to calculate Thermal Resistance for Radial Heat Conduction in Cylinders?

With Outer Radius (r_o), Inner Radius (r_i), Thermal Conductivity (k) & Length of Cylinder (l_cyl) we can find Thermal Resistance for Radial Heat Conduction in Cylinders using the formula - Thermal Resistance = ln(Outer Radius/Inner Radius)/(2*pi*Thermal Conductivity*Length of Cylinder). This formula also uses Archimedes' constant and Natural Logarithm (ln) function(s).

Can the Thermal Resistance for Radial Heat Conduction in Cylinders be negative?

Yes, the Thermal Resistance for Radial Heat Conduction in Cylinders, measured in Thermal Resistance can be negative.

Which unit is used to measure Thermal Resistance for Radial Heat Conduction in Cylinders?

Thermal Resistance for Radial Heat Conduction in Cylinders is usually measured using the Kelvin per Watt[K/W] for Thermal Resistance. Degree Fahrenheit hour per Btu (IT)[K/W], Degree Fahrenheit Hour per Btu (th)[K/W], Kelvin per Milliwatt[K/W] are the few other units in which Thermal Resistance for Radial Heat Conduction in Cylinders can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit

Thermal Resistance for Radial Heat Conduction in Cylinders Formula

Thermal Resistance for Radial Heat Conduction in Cylinders Example

Thermal Resistance for Radial Heat Conduction in Cylinders Solution

Thermal Resistance for Radial Heat Conduction in Cylinders Formula Elements

Other formulas in Conduction in Cylinder category

How to Evaluate Thermal Resistance for Radial Heat Conduction in Cylinders?

FAQs on Thermal Resistance for Radial Heat Conduction in Cylinders

Variable Name