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Inner Surface Temperature of Plane Wall 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 = T o + \frac{Q \cdot L}{k \cdot A w1}

T_i - Inner Surface Temperature?T_o - Outer Surface Temperature?Q - Heat Flow Rate?L - Length?k - Thermal Conductivity?A_w1 - Area of Wall?

Inner Surface Temperature of Plane Wall Example

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Here is how the Inner Surface Temperature of Plane Wall equation looks like with Values.

Here is how the Inner Surface Temperature of Plane Wall equation looks like with Units.

Here is how the Inner Surface Temperature of Plane Wall equation looks like.

400.75 = 400 + \frac{125 \cdot 3}{10 \cdot 50}

400.75K = 400K + \frac{125W \cdot 3m}{10W/(m*K) \cdot 50m²}

400.75 = 400 + \frac{125 \cdot 3}{10 \cdot 50}

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Inner Surface Temperature of Plane Wall Solution

Follow our step by step solution on how to calculate Inner Surface Temperature of Plane Wall?

FIRST Step Consider the formula

T i = T o + \frac{Q \cdot L}{k \cdot A w1}

Next Step Substitute values of Variables

∴

T i = 400K + \frac{125W \cdot 3m}{10W/(m*K) \cdot 50m²}

Next Step Prepare to Evaluate

∴

T i = 400 + \frac{125 \cdot 3}{10 \cdot 50}

LAST Step Evaluate

∴

T i = 400.75K

Inner Surface Temperature of Plane Wall Formula Elements

Variables

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 should be greater than 0.

Formulas to find Outer 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

Note: Value should be greater than 0.

Formulas to find Length

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

Area of Wall

Area of Wall refers to the surface area of the wall, which is the total amount of space that it occupies. It is typically measured in square units such as square feet or square meters.

Symbol: A_w1

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Area of Wall

Other formulas in Single Plane Wall category

Go Thermal Resistance of Wall

R th = \frac{L}{k \cdot A}

Go Thickness of Plane Wall for Conduction through Wall

L = \frac{(T i - T o) \cdot k \cdot A w1}{Q}

Go Area of Plane Wall Required for Given Temperature Difference

A w1 = \frac{Q \cdot L}{k \cdot (T i - T o)}

Go Thermal Conductivity of Material Required to Maintain Given Temperature Difference

k = \frac{Q \cdot L}{(T i - T o) \cdot A w1}

How to Evaluate Inner Surface Temperature of Plane Wall?

Inner Surface Temperature of Plane Wall evaluator uses Inner Surface Temperature = Outer Surface Temperature+(Heat Flow Rate*Length)/(Thermal Conductivity*Area of Wall) to evaluate the Inner Surface Temperature, The Inner Surface Temperature of Plane Wall formula is defined as the temperature at the inner surface of the plane wall when heat flow rate, outer surface temperature, length/thickness of the wall along the heat flow direction, area of the wall perpendicular to the heat flow are known. Inner Surface Temperature is denoted by T_i symbol.

How to evaluate Inner Surface Temperature of Plane Wall using this online evaluator? To use this online evaluator for Inner Surface Temperature of Plane Wall, enter Outer Surface Temperature (T_o), Heat Flow Rate (Q), Length (L), Thermal Conductivity (k) & Area of Wall (A_w1) and hit the calculate button.

FAQs on Inner Surface Temperature of Plane Wall

What is the formula to find Inner Surface Temperature of Plane Wall?

The formula of Inner Surface Temperature of Plane Wall is expressed as Inner Surface Temperature = Outer Surface Temperature+(Heat Flow Rate*Length)/(Thermal Conductivity*Area of Wall). Here is an example- 400.75 = 400+(125*3)/(10*50).

How to calculate Inner Surface Temperature of Plane Wall?

With Outer Surface Temperature (T_o), Heat Flow Rate (Q), Length (L), Thermal Conductivity (k) & Area of Wall (A_w1) we can find Inner Surface Temperature of Plane Wall using the formula - Inner Surface Temperature = Outer Surface Temperature+(Heat Flow Rate*Length)/(Thermal Conductivity*Area of Wall).

Can the Inner Surface Temperature of Plane Wall be negative?

Yes, the Inner Surface Temperature of Plane Wall, measured in Temperature can be negative.

Which unit is used to measure Inner Surface Temperature of Plane Wall?

Inner Surface Temperature of Plane Wall is usually measured using the Kelvin[K] for Temperature. Celsius[K], Fahrenheit[K], Rankine[K] are the few other units in which Inner Surface Temperature of Plane Wall can be measured.

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Inner Surface Temperature of Plane Wall Formula

Inner Surface Temperature of Plane Wall Example

Inner Surface Temperature of Plane Wall Solution

Inner Surface Temperature of Plane Wall Formula Elements

Other formulas in Single Plane Wall category

How to Evaluate Inner Surface Temperature of Plane Wall?

FAQs on Inner Surface Temperature of Plane Wall

Variable Name