Outer Surface Temperature of Spherical Wall Calculator

✖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%
✖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%
✖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%
✖Radius of 1st Concentric Sphere is the distance from the center of the concentric spheres to any point on the first concentric sphere or radius of the first sphere.ⓘ Radius of 1st Concentric Sphere [r₁]			+10% -10%
✖Radius of 2nd Concentric Sphere is the distance from the center of the concentric spheres to any point on the second concentric sphere or radius of the second sphere.ⓘ Radius of 2nd Concentric Sphere [r₂]			+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 of Spherical Wall [T_o]

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Formula

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Outer Surface Temperature of Spherical Wall

Formula

`"T"_{"o"} = "T"_{"i"}-"Q"/(4*pi*"k")*(1/"r"_{"1"}-1/"r"_{"2"})`

Example

`"300K"="305K"-"3769.9111843W"/(4*pi*"2W/(m*K)")*(1/"5m"-1/"6m")`

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Outer Surface Temperature of Spherical Wall Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)
T_o = T_i-Q/(4*pi*k)*(1/r₁-1/r₂)
This formula uses 1 Constants, 6 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

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.
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.
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.
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.
Radius of 1st Concentric Sphere - (Measured in Meter) - Radius of 1st Concentric Sphere is the distance from the center of the concentric spheres to any point on the first concentric sphere or radius of the first sphere.
Radius of 2nd Concentric Sphere - (Measured in Meter) - Radius of 2nd Concentric Sphere is the distance from the center of the concentric spheres to any point on the second concentric sphere or radius of the second sphere.

STEP 1: Convert Input(s) to Base Unit

Inner Surface Temperature: 305 Kelvin --> 305 Kelvin No Conversion Required
Heat Flow Rate: 3769.9111843 Watt --> 3769.9111843 Watt No Conversion Required
Thermal Conductivity: 2 Watt per Meter per K --> 2 Watt per Meter per K No Conversion Required
Radius of 1st Concentric Sphere: 5 Meter --> 5 Meter No Conversion Required
Radius of 2nd Concentric Sphere: 6 Meter --> 6 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

T_o = T_i-Q/(4*pi*k)*(1/r₁-1/r₂) --> 305-3769.9111843/(4*pi*2)*(1/5-1/6)

Evaluating ... ...

T_o = 300.00000000001

STEP 3: Convert Result to Output's Unit

300.00000000001 Kelvin --> No Conversion Required

FINAL ANSWER

300.00000000001 ≈ 300 Kelvin <-- Outer Surface Temperature

(Calculation completed in 00.004 seconds)

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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 Maiarutselvan V

PSG College of Technology (PSGCT), Coimbatore

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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)

Outer Surface Temperature of Spherical Wall Formula

What is temperatue?

Temperature, measure of hotness or coldness expressed in terms of any of several arbitrary scales and indicating the direction in which heat energy will spontaneously flow—i.e., from a hotter body (one at a higher temperature) to a colder body (one at a lower temperature)

How to Calculate Outer Surface Temperature of Spherical Wall?

Outer Surface Temperature of Spherical Wall calculator uses 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) to calculate the Outer Surface Temperature, The Outer Surface Temperature of spherical wall formula is defined as the temperature at the outer surface of the hollow sphere when heat flow rate, inner surface temperature, radii and thermal conductivity are known. Outer Surface Temperature is denoted by T_o symbol.

How to calculate Outer Surface Temperature of Spherical Wall using this online calculator? To use this online calculator for Outer Surface Temperature of Spherical Wall, enter Inner Surface Temperature (T_i), Heat Flow Rate (Q), Thermal Conductivity (k), Radius of 1st Concentric Sphere (r₁) & Radius of 2nd Concentric Sphere (r₂) and hit the calculate button. Here is how the Outer Surface Temperature of Spherical Wall calculation can be explained with given input values -> 300 = 305-3769.9111843/(4*pi*2)*(1/5-1/6).

FAQ

What is Outer Surface Temperature of Spherical Wall?

The Outer Surface Temperature of spherical wall formula is defined as the temperature at the outer surface of the hollow sphere when heat flow rate, inner surface temperature, radii and thermal conductivity are known and is represented as T_o = T_i-Q/(4*pi*k)*(1/r₁-1/r₂) or 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 is the temperature at the inner surface of the wall either plane wall or cylindrical wall or spherical wall, etc, 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, 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, Radius of 1st Concentric Sphere is the distance from the center of the concentric spheres to any point on the first concentric sphere or radius of the first sphere & Radius of 2nd Concentric Sphere is the distance from the center of the concentric spheres to any point on the second concentric sphere or radius of the second sphere.

How to calculate Outer Surface Temperature of Spherical Wall?

The Outer Surface Temperature of spherical wall formula is defined as the temperature at the outer surface of the hollow sphere when heat flow rate, inner surface temperature, radii and thermal conductivity are known is calculated using 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). To calculate Outer Surface Temperature of Spherical Wall, you need Inner Surface Temperature (T_i), Heat Flow Rate (Q), Thermal Conductivity (k), Radius of 1st Concentric Sphere (r₁) & Radius of 2nd Concentric Sphere (r₂). With our tool, you need to enter the respective value for Inner Surface Temperature, Heat Flow Rate, Thermal Conductivity, Radius of 1st Concentric Sphere & Radius of 2nd Concentric Sphere 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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