Total Thermal Resistance of Plane Wall with Convection on Both Sides Solution

STEP 0: Pre-Calculation Summary
Formula Used
Thermal Resistance with Convection = 1/(Inside Convection*Area of Wall)+Length/(Thermal Conductivity*Area of Wall)+1/(External Convection*Area of Wall)
rth = 1/(hi*Awall)+L/(k*Awall)+1/(ho*Awall)
This formula uses 6 Variables
Variables Used
Thermal Resistance with Convection - (Measured in Kelvin per Watt) - Thermal resistance with Convection is a heat property and a measurement of a temperature difference by which an object or material resists a heat flow.
Inside Convection - (Measured in Watt per Square Meter per Kelvin) - Inside Convection Heat Transfer Coefficient is the coefficient of convection heat transfer at the inside surface of the body or object or wall, etc.
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.
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.
External Convection - (Measured in Watt per Square Meter per Kelvin) - External Convection is the proportionality constant between the heat flux and the thermodynamic driving force for the flow of heat in case of convective heat transfer.
STEP 1: Convert Input(s) to Base Unit
Inside Convection: 1.35 Watt per Square Meter per Kelvin --> 1.35 Watt per Square Meter per Kelvin No Conversion Required
Area of Wall: 50 Square Meter --> 50 Square Meter 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
External Convection: 9.8 Watt per Square Meter per Kelvin --> 9.8 Watt per Square Meter per Kelvin No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
rth = 1/(hi*Awall)+L/(k*Awall)+1/(ho*Awall) --> 1/(1.35*50)+3/(10*50)+1/(9.8*50)
Evaluating ... ...
rth = 0.0228556311413454
STEP 3: Convert Result to Output's Unit
0.0228556311413454 Kelvin per Watt --> No Conversion Required
FINAL ANSWER
0.0228556311413454 0.022856 Kelvin per Watt <-- Thermal Resistance with Convection
(Calculation completed in 00.004 seconds)

Credits

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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)

Total Thermal Resistance of Plane Wall with Convection on Both Sides Formula

Thermal Resistance with Convection = 1/(Inside Convection*Area of Wall)+Length/(Thermal Conductivity*Area of Wall)+1/(External Convection*Area of Wall)
rth = 1/(hi*Awall)+L/(k*Awall)+1/(ho*Awall)

What is convection?

Convective heat transfer, often referred to simply as convection, is the transfer of heat from one place to another by the movement of fluids. Convection is usually the dominant form of heat transfer in liquids and gases.

How to Calculate Total Thermal Resistance of Plane Wall with Convection on Both Sides?

Total Thermal Resistance of Plane Wall with Convection on Both Sides calculator uses Thermal Resistance with Convection = 1/(Inside Convection*Area of Wall)+Length/(Thermal Conductivity*Area of Wall)+1/(External Convection*Area of Wall) to calculate the Thermal Resistance with Convection, The Total Thermal Resistance of Plane Wall with Convection on both Sides formula is defined as the total thermal resistance offered by a plain wall when subjected to convection on either side. It is obtained by adding the convection resistances and conduction resistance. Thermal Resistance with Convection is denoted by rth symbol.

How to calculate Total Thermal Resistance of Plane Wall with Convection on Both Sides using this online calculator? To use this online calculator for Total Thermal Resistance of Plane Wall with Convection on Both Sides, enter Inside Convection (hi), Area of Wall (Awall), Length (L), Thermal Conductivity (k) & External Convection (ho) and hit the calculate button. Here is how the Total Thermal Resistance of Plane Wall with Convection on Both Sides calculation can be explained with given input values -> 0.022856 = 1/(1.35*50)+3/(10*50)+1/(9.8*50).

FAQ

What is Total Thermal Resistance of Plane Wall with Convection on Both Sides?
The Total Thermal Resistance of Plane Wall with Convection on both Sides formula is defined as the total thermal resistance offered by a plain wall when subjected to convection on either side. It is obtained by adding the convection resistances and conduction resistance and is represented as rth = 1/(hi*Awall)+L/(k*Awall)+1/(ho*Awall) or Thermal Resistance with Convection = 1/(Inside Convection*Area of Wall)+Length/(Thermal Conductivity*Area of Wall)+1/(External Convection*Area of Wall). Inside Convection Heat Transfer Coefficient is the coefficient of convection heat transfer at the inside surface of the body or object or wall, etc, 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, 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 & External Convection is the proportionality constant between the heat flux and the thermodynamic driving force for the flow of heat in case of convective heat transfer.
How to calculate Total Thermal Resistance of Plane Wall with Convection on Both Sides?
The Total Thermal Resistance of Plane Wall with Convection on both Sides formula is defined as the total thermal resistance offered by a plain wall when subjected to convection on either side. It is obtained by adding the convection resistances and conduction resistance is calculated using Thermal Resistance with Convection = 1/(Inside Convection*Area of Wall)+Length/(Thermal Conductivity*Area of Wall)+1/(External Convection*Area of Wall). To calculate Total Thermal Resistance of Plane Wall with Convection on Both Sides, you need Inside Convection (hi), Area of Wall (Awall), Length (L), Thermal Conductivity (k) & External Convection (ho). With our tool, you need to enter the respective value for Inside Convection, Area of Wall, Length, Thermal Conductivity & External Convection 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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