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Heat flow through pipe in square section Formula

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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. Check FAQs

Q = \frac{T i - T o}{(\frac{1}{2 \cdot π \cdot L}) \cdot ((\frac{1}{h i \cdot R}) + ((\frac{L}{k}) \cdot \ln (\frac{1.08 \cdot a}{2 \cdot R})) + (\frac{π}{2 \cdot h o \cdot a}))}

Q - Heat Flow Rate?T_i - Inner Surface Temperature?T_o - Outer Surface Temperature?L - Length?h_i - Inside Convection?R - Cylinder Radius?k - Thermal Conductivity?a - Side of Square?h_o - External Convection?π - Archimedes' constant?

Heat flow through pipe in square section Example

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Here is how the Heat flow through pipe in square section equation looks like with Values.

Here is how the Heat flow through pipe in square section equation looks like with Units.

Here is how the Heat flow through pipe in square section equation looks like.

100.0001 = \frac{302.094 - 300}{(\frac{1}{2 \cdot 3.1416 \cdot 3}) \cdot ((\frac{1}{12 \cdot 1.5}) + ((\frac{3}{10}) \cdot \ln (\frac{1.08 \cdot 8}{2 \cdot 1.5})) + (\frac{3.1416}{2 \cdot 9 \cdot 8}))}

100.0001W = \frac{302.094K - 300K}{(\frac{1}{2 \cdot 3.1416 \cdot 3m}) \cdot ((\frac{1}{12W/m²*K \cdot 1.5m}) + ((\frac{3m}{10W/(m*K)}) \cdot \ln (\frac{1.08 \cdot 8m}{2 \cdot 1.5m})) + (\frac{3.1416}{2 \cdot 9W/m²*K \cdot 8m}))}

100.0001 = \frac{302.094 - 300}{(\frac{1}{2 \cdot 3.1416 \cdot 3}) \cdot ((\frac{1}{12 \cdot 1.5}) + ((\frac{3}{10}) \cdot \ln (\frac{1.08 \cdot 8}{2 \cdot 1.5})) + (\frac{3.1416}{2 \cdot 9 \cdot 8}))}

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Heat flow through pipe in square section Solution

Follow our step by step solution on how to calculate Heat flow through pipe in square section?

FIRST Step Consider the formula

Q = \frac{T i - T o}{(\frac{1}{2 \cdot π \cdot L}) \cdot ((\frac{1}{h i \cdot R}) + ((\frac{L}{k}) \cdot \ln (\frac{1.08 \cdot a}{2 \cdot R})) + (\frac{π}{2 \cdot h o \cdot a}))}

Next Step Substitute values of Variables

∴

Q = \frac{302.094K - 300K}{(\frac{1}{2 \cdot π \cdot 3m}) \cdot ((\frac{1}{12W/m²*K \cdot 1.5m}) + ((\frac{3m}{10W/(m*K)}) \cdot \ln (\frac{1.08 \cdot 8m}{2 \cdot 1.5m})) + (\frac{π}{2 \cdot 9W/m²*K \cdot 8m}))}

Next Step Substitute values of Constants

∴

Q = \frac{302.094K - 300K}{(\frac{1}{2 \cdot 3.1416 \cdot 3m}) \cdot ((\frac{1}{12W/m²*K \cdot 1.5m}) + ((\frac{3m}{10W/(m*K)}) \cdot \ln (\frac{1.08 \cdot 8m}{2 \cdot 1.5m})) + (\frac{3.1416}{2 \cdot 9W/m²*K \cdot 8m}))}

Next Step Prepare to Evaluate

∴

Q = \frac{302.094 - 300}{(\frac{1}{2 \cdot 3.1416 \cdot 3}) \cdot ((\frac{1}{12 \cdot 1.5}) + ((\frac{3}{10}) \cdot \ln (\frac{1.08 \cdot 8}{2 \cdot 1.5})) + (\frac{3.1416}{2 \cdot 9 \cdot 8}))}

Next Step Evaluate

∴

Q = 100.000111866436W

LAST Step Rounding Answer

∴

Q = 100.0001W

Heat flow through pipe in square section Formula Elements

Variables

Constants

Functions

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

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

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

Length

Length is the measurement or extent of something from end to end.

Symbol: L

Measurement: LengthUnit: m