Convection Resistance for Spherical Layer Solution

STEP 0: Pre-Calculation Summary
Formula Used
Thermal Resistance of Sphere Without Convection = 1/(4*pi*Radius of Sphere^2*Convection Heat Transfer Coefficient)
rth = 1/(4*pi*r^2*h)
This formula uses 1 Constants, 3 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
Thermal Resistance of Sphere Without Convection - (Measured in Kelvin per Watt) - Thermal resistance of sphere without convection is a heat property and a measurement of a temperature difference by which an object or material resists a heat flow.
Radius of Sphere - (Measured in Meter) - Radius Of Sphere is the distance from the center of the concentric circles to any point on the first sphere.
Convection Heat Transfer Coefficient - (Measured in Watt per Square Meter per Kelvin) - Convection Heat Transfer Coefficient is the rate of heat transfer between a solid surface and a fluid per unit surface area per unit temperature.
STEP 1: Convert Input(s) to Base Unit
Radius of Sphere: 1.4142 Meter --> 1.4142 Meter No Conversion Required
Convection Heat Transfer Coefficient: 30 Watt per Square Meter per Kelvin --> 30 Watt per Square Meter per Kelvin No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
rth = 1/(4*pi*r^2*h) --> 1/(4*pi*1.4142^2*30)
Evaluating ... ...
rth = 0.00132631663118545
STEP 3: Convert Result to Output's Unit
0.00132631663118545 Kelvin per Watt --> No Conversion Required
FINAL ANSWER
0.00132631663118545 0.001326 Kelvin per Watt <-- Thermal Resistance of Sphere Without Convection
(Calculation completed in 00.004 seconds)

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11 Conduction in Sphere Calculators

Total Thermal Resistance of Spherical wall of 3 Layers without Convection
Go Sphere Thermal Resistance = (Radius of 2nd Concentric Sphere-Radius of 1st Concentric Sphere)/(4*pi*Thermal Conductivity of 1st Body*Radius of 1st Concentric Sphere*Radius of 2nd Concentric Sphere)+(Radius of 3rd Concentric Sphere-Radius of 2nd Concentric Sphere)/(4*pi*Thermal Conductivity of 2nd Body*Radius of 2nd Concentric Sphere*Radius of 3rd Concentric Sphere)+(Radius of 4th Concentric Sphere-Radius of 3rd Concentric Sphere)/(4*pi*Thermal Conductivity of 3rd Body*Radius of 3rd Concentric Sphere*Radius of 4th Concentric Sphere)
Total Thermal Resistance of Spherical Wall of 2 Layers without Convection
Go Sphere Thermal Resistance Without Convection = (Radius of 2nd Concentric Sphere-Radius of 1st Concentric Sphere)/(4*pi*Thermal Conductivity of 1st Body*Radius of 1st Concentric Sphere*Radius of 2nd Concentric Sphere)+(Radius of 3rd Concentric Sphere-Radius of 2nd Concentric Sphere)/(4*pi*Thermal Conductivity of 2nd Body*Radius of 2nd Concentric Sphere*Radius of 3rd Concentric Sphere)
Thermal Resistance of Spherical Composite Wall of 2 Layers in Series with Convection
Go Thermal Resistance of Sphere = 1/(4*pi)*(1/(Inner Convection Heat Transfer Coefficient*Radius of 1st Concentric Sphere^2)+1/Thermal Conductivity of 1st Body*(1/Radius of 1st Concentric Sphere-1/Radius of 2nd Concentric Sphere)+1/Thermal Conductivity of 2nd Body*(1/Radius of 2nd Concentric Sphere-1/Radius of 3rd Concentric Sphere)+1/(External Convection Heat Transfer Coefficient*Radius of 3rd Concentric Sphere^2))
Total Thermal Resistance of Spherical Wall with Convection on Both Side
Go Sphere Thermal Resistance = 1/(4*pi*Radius of 1st Concentric Sphere^2*Inner Convection Heat Transfer Coefficient)+(Radius of 2nd Concentric Sphere-Radius of 1st Concentric Sphere)/(4*pi*Thermal Conductivity*Radius of 1st Concentric Sphere*Radius of 2nd Concentric Sphere)+1/(4*pi*Radius of 2nd Concentric Sphere^2*External Convection Heat Transfer Coefficient)
Heat Flow Rate through Spherical Composite Wall of 2 Layers in Series
Go Heat Flow Rate of wall of 2 layers = (Inner Surface Temperature-Outer Surface Temperature)/(1/(4*pi*Thermal Conductivity of 1st Body)*(1/Radius of 1st Concentric Sphere-1/Radius of 2nd Concentric Sphere)+1/(4*pi*Thermal Conductivity of 2nd Body)*(1/Radius of 2nd Concentric Sphere-1/Radius of 3rd Concentric Sphere))
Heat Flow Rate through Spherical Wall
Go Heat Flow Rate = (Inner Surface Temperature-Outer Surface Temperature)/((Radius of 2nd Concentric Sphere-Radius of 1st Concentric Sphere)/(4*pi*Thermal Conductivity*Radius of 1st Concentric Sphere*Radius of 2nd Concentric Sphere))
Thermal Resistance of Spherical Wall
Go Thermal Resistance of Sphere Without Convection = (Radius of 2nd Concentric Sphere-Radius of 1st Concentric Sphere)/(4*pi*Thermal Conductivity*Radius of 1st Concentric Sphere*Radius of 2nd Concentric Sphere)
Thickness of Spherical Wall to Maintain given Temperature Difference
Go Thickness Of Conduction Sphere = 1/(1/Radius of Sphere-(4*pi*Thermal Conductivity*(Inner Surface Temperature-Outer Surface Temperature))/Heat Flow Rate)-Radius of Sphere
Outer Surface Temperature of Spherical Wall
Go Outer Surface Temperature = Inner Surface Temperature-Heat Flow Rate/(4*pi*Thermal Conductivity)*(1/Radius of 1st Concentric Sphere-1/Radius of 2nd Concentric Sphere)
Inner Surface Temperature of Spherical Wall
Go Inner Surface Temperature = Outer Surface Temperature+Heat Flow Rate/(4*pi*Thermal Conductivity)*(1/Radius of 1st Concentric Sphere-1/Radius of 2nd Concentric Sphere)
Convection Resistance for Spherical Layer
Go Thermal Resistance of Sphere Without Convection = 1/(4*pi*Radius of Sphere^2*Convection Heat Transfer Coefficient)

Convection Resistance for Spherical Layer Formula

Thermal Resistance of Sphere Without Convection = 1/(4*pi*Radius of Sphere^2*Convection Heat Transfer Coefficient)
rth = 1/(4*pi*r^2*h)

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 Convection Resistance for Spherical Layer?

Convection Resistance for Spherical Layer calculator uses Thermal Resistance of Sphere Without Convection = 1/(4*pi*Radius of Sphere^2*Convection Heat Transfer Coefficient) to calculate the Thermal Resistance of Sphere Without Convection, Convection Resistance for Spherical Layer formula is the thermal resistance offered by a spherical surface layer for heat convection by neglecting the convection. Thermal Resistance of Sphere Without Convection is denoted by rth symbol.

How to calculate Convection Resistance for Spherical Layer using this online calculator? To use this online calculator for Convection Resistance for Spherical Layer, enter Radius of Sphere (r) & Convection Heat Transfer Coefficient (h) and hit the calculate button. Here is how the Convection Resistance for Spherical Layer calculation can be explained with given input values -> 0.001326 = 1/(4*pi*1.4142^2*30).

FAQ

What is Convection Resistance for Spherical Layer?
Convection Resistance for Spherical Layer formula is the thermal resistance offered by a spherical surface layer for heat convection by neglecting the convection and is represented as rth = 1/(4*pi*r^2*h) or Thermal Resistance of Sphere Without Convection = 1/(4*pi*Radius of Sphere^2*Convection Heat Transfer Coefficient). Radius Of Sphere is the distance from the center of the concentric circles to any point on the first sphere & Convection Heat Transfer Coefficient is the rate of heat transfer between a solid surface and a fluid per unit surface area per unit temperature.
How to calculate Convection Resistance for Spherical Layer?
Convection Resistance for Spherical Layer formula is the thermal resistance offered by a spherical surface layer for heat convection by neglecting the convection is calculated using Thermal Resistance of Sphere Without Convection = 1/(4*pi*Radius of Sphere^2*Convection Heat Transfer Coefficient). To calculate Convection Resistance for Spherical Layer, you need Radius of Sphere (r) & Convection Heat Transfer Coefficient (h). With our tool, you need to enter the respective value for Radius of Sphere & Convection Heat Transfer Coefficient and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Thermal Resistance of Sphere Without Convection?
In this formula, Thermal Resistance of Sphere Without Convection uses Radius of Sphere & Convection Heat Transfer Coefficient. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Thermal Resistance of Sphere Without Convection = (Radius of 2nd Concentric Sphere-Radius of 1st Concentric Sphere)/(4*pi*Thermal Conductivity*Radius of 1st Concentric Sphere*Radius of 2nd Concentric Sphere)
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