Inner Surface Temperature of Spherical Wall Calculator

✖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%
✖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%

✖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 of Spherical Wall [T_i]

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Inner Surface Temperature of Spherical Wall Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)
T_i = T_o+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

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.
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

Outer Surface Temperature: 300 Kelvin --> 300 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_i = T_o+Q/(4*pi*k)*(1/r₁-1/r₂) --> 300+3769.9111843/(4*pi*2)*(1/5-1/6)

Evaluating ... ...

T_i = 304.99999999999

STEP 3: Convert Result to Output's Unit

304.99999999999 Kelvin --> No Conversion Required

FINAL ANSWER

304.99999999999 ≈ 305 Kelvin <-- Inner Surface Temperature

(Calculation completed in 00.020 seconds)

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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 Maiarutselvan V

PSG College of Technology (PSGCT), Coimbatore

Maiarutselvan V has verified this Calculator and 300+ more calculators!

< Conduction in Sphere Calculators

Total Thermal Resistance of Spherical wall of 3 Layers without Convection

LaTeX 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

LaTeX 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)

Total Thermal Resistance of Spherical Wall with Convection on Both Side

LaTeX 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)

Convection Resistance for Spherical Layer

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

Inner Surface Temperature of Spherical Wall Formula

LaTeX Go

What is hollow sphere?

A hollow sphere is what is left of a sphere with radius r2 when a sphere with radius r1 has been removed from it, the two spheres having the same centre and r1 < r2.

How to Calculate Inner Surface Temperature of Spherical Wall?

Inner Surface Temperature of Spherical Wall calculator uses 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) to calculate the Inner Surface Temperature, The Inner surface temperature of spherical wall formula is defined as the temperature at the inner surface of the hollow spherical wall without convection when the heat flow rate, radii, outer surface temperature and thermal conductivity are known. Inner Surface Temperature is denoted by T_i symbol.

How to calculate Inner Surface Temperature of Spherical Wall using this online calculator? To use this online calculator for Inner Surface Temperature of Spherical Wall, enter Outer Surface Temperature (T_o), 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 Inner Surface Temperature of Spherical Wall calculation can be explained with given input values -> 305 = 300+3769.9111843/(4*pi*2)*(1/5-1/6).

FAQ

What is Inner Surface Temperature of Spherical Wall?

The Inner surface temperature of spherical wall formula is defined as the temperature at the inner surface of the hollow spherical wall without convection when the heat flow rate, radii, outer surface temperature and thermal conductivity are known and is represented as T_i = T_o+Q/(4*pi*k)*(1/r₁-1/r₂) or 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). Outer Surface Temperature is the temperature at the outer 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 Inner Surface Temperature of Spherical Wall?

The Inner surface temperature of spherical wall formula is defined as the temperature at the inner surface of the hollow spherical wall without convection when the heat flow rate, radii, outer surface temperature and thermal conductivity are known is calculated using 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). To calculate Inner Surface Temperature of Spherical Wall, you need Outer Surface Temperature (T_o), 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 Outer 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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