Area of Plane Wall Required for Given Temperature Difference Calculator

✖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.ⓘ Heat Flow Rate [Q]			+10% -10%
✖Length is the measurement or extent of something from end to end.ⓘ Length [L]			+10% -10%
✖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.ⓘ Thermal Conductivity [k]			+10% -10%
✖Inner Surface Temperature is the temperature at the inner surface of the wall (either plane wall or cylindrical wall or spherical wall, etc).ⓘ Inner Surface Temperature [T_i]			+10% -10%
✖Outer Surface Temperature is the temperature at the outer surface of the wall either plane wall or cylindrical wall or spherical wall, etc.ⓘ Outer Surface Temperature [T_o]			+10% -10%

✖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.ⓘ Area of Plane Wall Required for Given Temperature Difference [A_wall]

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Area of Plane Wall Required for Given Temperature Difference

Formula

`"A"_{"wall"} = ("Q"*"L")/("k"*("T"_{"i"}-"T"_{"o"}))`

Example

`"50m²"=("125W"*"3m")/("10W/(m*K)"*("400.75K"-"400K"))`

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Area of Plane Wall Required for Given Temperature Difference Solution

STEP 0: Pre-Calculation Summary

Formula Used

Area of Wall = (Heat Flow Rate*Length)/(Thermal Conductivity*(Inner Surface Temperature-Outer Surface Temperature))
A_wall = (Q*L)/(k*(T_i-T_o))
This formula uses 6 Variables

Variables Used

Area of Wall - (Measured in Square Meter) - 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.
Heat Flow Rate - (Measured in Watt) - 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.
Length - (Measured in Meter) - Length is the measurement or extent of something from end to end.
Thermal Conductivity - (Measured in Watt per Meter per K) - 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.
Inner Surface Temperature - (Measured in Kelvin) - Inner Surface Temperature is the temperature at the inner surface of the wall (either plane wall or cylindrical wall or spherical wall, etc).
Outer Surface Temperature - (Measured in Kelvin) - Outer Surface Temperature is the temperature at the outer surface of the wall either plane wall or cylindrical wall or spherical wall, etc.

STEP 1: Convert Input(s) to Base Unit

Heat Flow Rate: 125 Watt --> 125 Watt No Conversion Required
Length: 3 Meter --> 3 Meter No Conversion Required
Thermal Conductivity: 10 Watt per Meter per K --> 10 Watt per Meter per K No Conversion Required
Inner Surface Temperature: 400.75 Kelvin --> 400.75 Kelvin No Conversion Required
Outer Surface Temperature: 400 Kelvin --> 400 Kelvin No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

A_wall = (Q*L)/(k*(T_i-T_o)) --> (125*3)/(10*(400.75-400))

Evaluating ... ...

A_wall = 50

STEP 3: Convert Result to Output's Unit

50 Square Meter --> No Conversion Required

FINAL ANSWER

50 Square Meter <-- Area of Wall

(Calculation completed in 00.004 seconds)

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Home » Physics » Heat and Mass Transfer » Conduction » Conduction in Plane Wall » Area of Plane Wall Required for Given Temperature Difference

Credits

Created by Sai Venkata Phanindra Chary Arendra

Vallurupalli Nageswara Rao Vignana Jyothi Institute of Engineering and Technology (VNRVJIET), Hyderabad

Sai Venkata Phanindra Chary Arendra has created this Calculator and 100+ more calculators!

Verified by Vinay Mishra

Indian Institute for Aeronautical Engineering and Information Technology (IIAEIT), Pune

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< 8 Conduction in Plane Wall Calculators

Total Thermal Resistance of Plane Wall with Convection on Both Sides

Go Thermal Resistance with Convection = 1/(Inside Convection*Area of Wall)+Length/(Thermal Conductivity*Area of Wall)+1/(External Convection*Area of Wall)

Temperature at Distance x from Inner Surface in Wall

Go Temperature = Inner Surface Temperature-Distance from Inner Surface/Length*(Inner Surface Temperature-Outer Surface Temperature)

Thermal Conductivity of Material Required to Maintain Given Temperature Difference

Go Thermal Conductivity = (Heat Flow Rate*Length)/((Inner Surface Temperature-Outer Surface Temperature)*Area of Wall)

Area of Plane Wall Required for Given Temperature Difference

Go Area of Wall = (Heat Flow Rate*Length)/(Thermal Conductivity*(Inner Surface Temperature-Outer Surface Temperature))

Outer Surface Temperature of Wall in Conduction through Wall

Go Outer Surface Temperature = Inner Surface Temperature-(Heat Flow Rate*Length)/(Thermal Conductivity*Area of Wall)

Thickness of Plane Wall for Conduction through Wall

Go Length = ((Inner Surface Temperature-Outer Surface Temperature)*Thermal Conductivity*Area of Wall)/Heat Flow Rate

Inner Surface Temperature of Plane Wall

Go Inner Surface Temperature = Outer Surface Temperature+(Heat Flow Rate*Length)/(Thermal Conductivity*Area of Wall)

Thermal Resistance of Wall

Go Thermal Resistance = Length/(Thermal Conductivity*Cross-Sectional Area)

Area of Plane Wall Required for Given Temperature Difference Formula

Area of Wall = (Heat Flow Rate*Length)/(Thermal Conductivity*(Inner Surface Temperature-Outer Surface Temperature))
A_wall = (Q*L)/(k*(T_i-T_o))

What is heat flow rate?

The rate of heat flow 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,

How to Calculate Area of Plane Wall Required for Given Temperature Difference?

Area of Plane Wall Required for Given Temperature Difference calculator uses Area of Wall = (Heat Flow Rate*Length)/(Thermal Conductivity*(Inner Surface Temperature-Outer Surface Temperature)) to calculate the Area of Wall, The Area of plane wall required for given temperature difference formula is defined as an area of the plane wall perpendicular to the heat flow required to maintain given temperature difference at a given heat flow rate through the wall material. Area of Wall is denoted by A_wall symbol.

How to calculate Area of Plane Wall Required for Given Temperature Difference using this online calculator? To use this online calculator for Area of Plane Wall Required for Given Temperature Difference, enter Heat Flow Rate (Q), Length (L), Thermal Conductivity (k), Inner Surface Temperature (T_i) & Outer Surface Temperature (T_o) and hit the calculate button. Here is how the Area of Plane Wall Required for Given Temperature Difference calculation can be explained with given input values -> 0.9375 = (125*3)/(10*(400.75-400)).

FAQ

What is Area of Plane Wall Required for Given Temperature Difference?

The Area of plane wall required for given temperature difference formula is defined as an area of the plane wall perpendicular to the heat flow required to maintain given temperature difference at a given heat flow rate through the wall material and is represented as A_wall = (Q*L)/(k*(T_i-T_o)) or Area of Wall = (Heat Flow Rate*Length)/(Thermal Conductivity*(Inner Surface Temperature-Outer Surface Temperature)). 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, Length is the measurement or extent of something from end to end, 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, Inner Surface Temperature is the temperature at the inner surface of the wall (either plane wall or cylindrical wall or spherical wall, etc) & Outer Surface Temperature is the temperature at the outer surface of the wall either plane wall or cylindrical wall or spherical wall, etc.

How to calculate Area of Plane Wall Required for Given Temperature Difference?

The Area of plane wall required for given temperature difference formula is defined as an area of the plane wall perpendicular to the heat flow required to maintain given temperature difference at a given heat flow rate through the wall material is calculated using Area of Wall = (Heat Flow Rate*Length)/(Thermal Conductivity*(Inner Surface Temperature-Outer Surface Temperature)). To calculate Area of Plane Wall Required for Given Temperature Difference, you need Heat Flow Rate (Q), Length (L), Thermal Conductivity (k), Inner Surface Temperature (T_i) & Outer Surface Temperature (T_o). With our tool, you need to enter the respective value for Heat Flow Rate, Length, Thermal Conductivity, Inner Surface Temperature & Outer Surface Temperature and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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