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Heat transfer per unit length for annular space between concentric cylinders Formula

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Heat Transfer per Unit Length is defined as the movement of heat across the border of the system due to a difference in temperature between the system and its surroundings. Check FAQs

e' = (\frac{2 \cdot π \cdot k Eff}{\ln (\frac{D o}{D i})}) \cdot (t i - t o)

e' - Heat Transfer per Unit Length?k_Eff - Effective Thermal Conductivity?D_o - Outside Diameter?D_i - Inside Diameter?t_i - Inside Temperature?t_o - Outside Temperature?π - Archimedes' constant?

Heat transfer per unit length for annular space between concentric cylinders Example

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Here is how the Heat transfer per unit length for annular space between concentric cylinders equation looks like with Values.

Here is how the Heat transfer per unit length for annular space between concentric cylinders equation looks like with Units.

Here is how the Heat transfer per unit length for annular space between concentric cylinders equation looks like.

58.9411 = (\frac{2 \cdot 3.1416 \cdot 0.27}{\ln (\frac{0.05}{0.005})}) \cdot (353 - 273)

58.9411 = (\frac{2 \cdot 3.1416 \cdot 0.27W/(m*K)}{\ln (\frac{0.05m}{0.005m})}) \cdot (353K - 273K)

58.9411 = (\frac{2 \cdot 3.1416 \cdot 0.27}{\ln (\frac{0.05}{0.005})}) \cdot (353 - 273)

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Heat transfer per unit length for annular space between concentric cylinders Solution

Follow our step by step solution on how to calculate Heat transfer per unit length for annular space between concentric cylinders?

FIRST Step Consider the formula

e' = (\frac{2 \cdot π \cdot k Eff}{\ln (\frac{D o}{D i})}) \cdot (t i - t o)

Next Step Substitute values of Variables

∴

e' = (\frac{2 \cdot π \cdot 0.27W/(m*K)}{\ln (\frac{0.05m}{0.005m})}) \cdot (353K - 273K)

Next Step Substitute values of Constants

∴

e' = (\frac{2 \cdot 3.1416 \cdot 0.27W/(m*K)}{\ln (\frac{0.05m}{0.005m})}) \cdot (353K - 273K)

Next Step Prepare to Evaluate

∴

e' = (\frac{2 \cdot 3.1416 \cdot 0.27}{\ln (\frac{0.05}{0.005})}) \cdot (353 - 273)

Next Step Evaluate

∴

e' = 58.9410584859675

LAST Step Rounding Answer

∴

e' = 58.9411

Heat transfer per unit length for annular space between concentric cylinders Formula Elements

Variables

Constants

Functions

Heat Transfer per Unit Length

Heat Transfer per Unit Length is defined as the movement of heat across the border of the system due to a difference in temperature between the system and its surroundings.

Symbol: e'

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Heat Transfer per Unit Length

Effective Thermal Conductivity

Effective Thermal Conductivity is the rate of heat transfer through a unit thickness of the material per unit area per unit temperature difference.

Symbol: k_Eff

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

Note: Value can be positive or negative.

Formulas to find Effective Thermal Conductivity

Outside Diameter

Outside Diameter is the diameter of the outside surface.

Symbol: D_o

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Outside Diameter

Inside Diameter

Inside diameter is the diameter of the inside surface.

Symbol: D_i

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Inside Diameter

Inside Temperature

Inside Temperature is the temperature of air present inside.

Symbol: t_i

Measurement: TemperatureUnit: K

Note: Value can be positive or negative.

Formulas to find Inside Temperature

Outside Temperature

Outside Temperature is the temperature of air present outside.

Symbol: t_o

Measurement: TemperatureUnit: K

Note: Value can be positive or negative.

Formulas to find Outside Temperature

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 Effective Thermal Conductivity and Heat Transfer category

Go Effective thermal conductivity for annular space between concentric cylinders

k Eff = e' \cdot (\frac{\ln (\frac{D o}{D i})}{2 \cdot π} \cdot (t i - t o))

Go Effective thermal conductivity given Prandtl number

k Eff = 0.386 \cdot kl \cdot ({(\frac{Pr}{0.861 + Pr})}^{0.25}) \cdot {(Ra c)}^{0.25}

Go Heat transfer between concentric spheres given both diameters

Q s = (k Eff \cdot π \cdot (t i - t o)) \cdot (\frac{D o \cdot D i}{L})

Go Effective thermal conductivity for space between two concentric spheres

k Eff = \frac{Q s}{(π \cdot (t i - t o)) \cdot (\frac{D o \cdot D i}{L})}

How to Evaluate Heat transfer per unit length for annular space between concentric cylinders?

Heat transfer per unit length for annular space between concentric cylinders evaluator uses Heat Transfer per Unit Length = ((2*pi*Effective Thermal Conductivity)/(ln(Outside Diameter/Inside Diameter)))*(Inside Temperature-Outside Temperature) to evaluate the Heat Transfer per Unit Length, The Heat transfer per unit length for annular space between concentric cylinders formula is defined as is defined as the movement of heat across the border of the system due to a difference in temperature between the system and its surroundings. Heat Transfer per Unit Length is denoted by e' symbol.

How to evaluate Heat transfer per unit length for annular space between concentric cylinders using this online evaluator? To use this online evaluator for Heat transfer per unit length for annular space between concentric cylinders, enter Effective Thermal Conductivity (k_Eff), Outside Diameter (D_o), Inside Diameter (D_i), Inside Temperature (t_i) & Outside Temperature (t_o) and hit the calculate button.

FAQs on Heat transfer per unit length for annular space between concentric cylinders

What is the formula to find Heat transfer per unit length for annular space between concentric cylinders?

The formula of Heat transfer per unit length for annular space between concentric cylinders is expressed as Heat Transfer per Unit Length = ((2*pi*Effective Thermal Conductivity)/(ln(Outside Diameter/Inside Diameter)))*(Inside Temperature-Outside Temperature). Here is an example- 58.94106 = ((2*pi*0.27)/(ln(0.05/0.005)))*(353-273).

How to calculate Heat transfer per unit length for annular space between concentric cylinders?

With Effective Thermal Conductivity (k_Eff), Outside Diameter (D_o), Inside Diameter (D_i), Inside Temperature (t_i) & Outside Temperature (t_o) we can find Heat transfer per unit length for annular space between concentric cylinders using the formula - Heat Transfer per Unit Length = ((2*pi*Effective Thermal Conductivity)/(ln(Outside Diameter/Inside Diameter)))*(Inside Temperature-Outside Temperature). This formula also uses Archimedes' constant and Natural Logarithm (ln) function(s).

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Heat transfer per unit length for annular space between concentric cylinders Formula

Heat transfer per unit length for annular space between concentric cylinders Example

Heat transfer per unit length for annular space between concentric cylinders Solution

Heat transfer per unit length for annular space between concentric cylinders Formula Elements

Other formulas in Effective Thermal Conductivity and Heat Transfer category

How to Evaluate Heat transfer per unit length for annular space between concentric cylinders?

FAQs on Heat transfer per unit length for annular space between concentric cylinders

Variable Name