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

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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. Check FAQs
rth=1hiAw1+LkAw1+1hoAw1
rth - Thermal Resistance with Convection?hi - Inside Convection?Aw1 - Area of Wall?L - Length?k - Thermal Conductivity?ho - External Convection?

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

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Here is how the Total Thermal Resistance of Plane Wall with Convection on Both Sides equation looks like with Values.

Here is how the Total Thermal Resistance of Plane Wall with Convection on Both Sides equation looks like with Units.

Here is how the Total Thermal Resistance of Plane Wall with Convection on Both Sides equation looks like.

0.0229Edit=11.35Edit50Edit+3Edit10Edit50Edit+19.8Edit50Edit
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Total Thermal Resistance of Plane Wall with Convection on Both Sides Solution

Follow our step by step solution on how to calculate Total Thermal Resistance of Plane Wall with Convection on Both Sides?

FIRST Step Consider the formula
rth=1hiAw1+LkAw1+1hoAw1
Next Step Substitute values of Variables
rth=11.35W/m²*K50+3m10W/(m*K)50+19.8W/m²*K50
Next Step Prepare to Evaluate
rth=11.3550+31050+19.850
Next Step Evaluate
rth=0.0228556311413454K/W
LAST Step Rounding Answer
rth=0.0229K/W

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

Variables
Thermal Resistance with Convection
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.
Symbol: rth
Measurement: Thermal ResistanceUnit: K/W
Note: Value should be greater than 0.
Inside Convection
Inside Convection Heat Transfer Coefficient is the coefficient of convection heat transfer at the inside surface of the body or object or wall, etc.
Symbol: hi
Measurement: Heat Transfer CoefficientUnit: W/m²*K
Note: Value should be greater than 0.
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: Aw1
Measurement: AreaUnit:
Note: Value should be greater than 0.
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.
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.
External Convection
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.
Symbol: ho
Measurement: Heat Transfer CoefficientUnit: W/m²*K
Note: Value should be greater than 0.

Other formulas in Single Plane Wall category

​Go Thermal Resistance of Wall
Rth=LkA
​Go Thickness of Plane Wall for Conduction through Wall
L=(Ti-To)kAw1Q
​Go Area of Plane Wall Required for Given Temperature Difference
Aw1=QLk(Ti-To)
​Go Thermal Conductivity of Material Required to Maintain Given Temperature Difference
k=QL(Ti-To)Aw1

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

Total Thermal Resistance of Plane Wall with Convection on Both Sides evaluator uses Thermal Resistance with Convection = 1/(Inside Convection*Area of Wall)+Length/(Thermal Conductivity*Area of Wall)+1/(External Convection*Area of Wall) to evaluate 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 evaluate Total Thermal Resistance of Plane Wall with Convection on Both Sides using this online evaluator? To use this online evaluator for Total Thermal Resistance of Plane Wall with Convection on Both Sides, enter Inside Convection (hi), Area of Wall (Aw1), Length (L), Thermal Conductivity (k) & External Convection (ho) and hit the calculate button.

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

What is the formula to find Total Thermal Resistance of Plane Wall with Convection on Both Sides?
The formula of Total Thermal Resistance of Plane Wall with Convection on Both Sides is expressed as Thermal Resistance with Convection = 1/(Inside Convection*Area of Wall)+Length/(Thermal Conductivity*Area of Wall)+1/(External Convection*Area of Wall). Here is an example- 0.022856 = 1/(1.35*50)+3/(10*50)+1/(9.8*50).
How to calculate Total Thermal Resistance of Plane Wall with Convection on Both Sides?
With Inside Convection (hi), Area of Wall (Aw1), Length (L), Thermal Conductivity (k) & External Convection (ho) we can find Total Thermal Resistance of Plane Wall with Convection on Both Sides using the formula - Thermal Resistance with Convection = 1/(Inside Convection*Area of Wall)+Length/(Thermal Conductivity*Area of Wall)+1/(External Convection*Area of Wall).
Can the Total Thermal Resistance of Plane Wall with Convection on Both Sides be negative?
No, the Total Thermal Resistance of Plane Wall with Convection on Both Sides, measured in Thermal Resistance cannot be negative.
Which unit is used to measure Total Thermal Resistance of Plane Wall with Convection on Both Sides?
Total Thermal Resistance of Plane Wall with Convection on Both Sides is usually measured using the Kelvin per Watt[K/W] for Thermal Resistance. Degree Fahrenheit hour per Btu (IT)[K/W], Degree Fahrenheit Hour per Btu (th)[K/W], Kelvin per Milliwatt[K/W] are the few other units in which Total Thermal Resistance of Plane Wall with Convection on Both Sides can be measured.
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