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Inner surface temperature of pipe in square section Formula

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

T i = (Q \cdot (\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}))) + T o

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

Inner surface temperature of pipe in square section Example

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Here is how the Inner surface temperature of pipe in square section equation looks like with Values.

Here is how the Inner surface temperature of pipe in square section equation looks like with Units.

Here is how the Inner surface temperature of pipe in square section equation looks like.

302.094 = (100 \cdot (\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}))) + 300

302.094K = (100W \cdot (\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}))) + 300K

302.094 = (100 \cdot (\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}))) + 300

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Inner surface temperature of pipe in square section Solution

Follow our step by step solution on how to calculate Inner surface temperature of pipe in square section?

FIRST Step Consider the formula

T i = (Q \cdot (\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}))) + T o

Next Step Substitute values of Variables

∴

T i = (100W \cdot (\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}))) + 300K

Next Step Substitute values of Constants

∴

T i = (100W \cdot (\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}))) + 300K

Next Step Prepare to Evaluate

∴

T i = (100 \cdot (\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}))) + 300

Next Step Evaluate

∴

T i = 302.093997657519K

LAST Step Rounding Answer

∴

T i = 302.094K

Inner surface temperature of pipe in square section Formula Elements

Variables

Constants

Functions

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

Length

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

Symbol: L

Measurement: LengthUnit: m