Heat Flow Rate through Spherical Composite Wall of 2 Layers in Series 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%
✖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%
✖Thermal Conductivity of 1st body is expressed as amount of heat flows per unit time through a unit area of first body with temperature gradient of one degree per unit distance.ⓘ Thermal Conductivity of 1st Body [k₁]			+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%
✖Thermal Conductivity of 2nd body is expressed as amount of heat flows per unit time through a unit area of second body with temperature gradient of one degree per unit distance.ⓘ Thermal Conductivity of 2nd Body [k₂]			+10% -10%
✖Radius of 3rd Concentric Sphere is the distance from the center of the concentric spheres to any point on the third concentric sphere or radius of the third sphere.ⓘ Radius of 3rd Concentric Sphere [r₃]			+10% -10%

✖Heat Flow Rate of wall of 2 layers is the amount of heat that is transferred per unit of time in material. Heat is the flow of thermal energy driven by thermal non-equilibrium.ⓘ Heat Flow Rate through Spherical Composite Wall of 2 Layers in Series [Q^']

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Heat Flow Rate through Spherical Composite Wall of 2 Layers in Series Solution

STEP 0: Pre-Calculation Summary

Formula Used

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))
Q^' = (T_i-T_o)/(1/(4*pi*k₁)*(1/r₁-1/r₂)+1/(4*pi*k₂)*(1/r₂-1/r₃))
This formula uses 1 Constants, 8 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Heat Flow Rate of Wall of 2 Layers - (Measured in Watt) - Heat Flow Rate of wall of 2 layers is the amount of heat that is transferred per unit of time in material. Heat is the flow of thermal energy driven by thermal non-equilibrium.
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.
Thermal Conductivity of 1st Body - (Measured in Watt per Meter per K) - Thermal Conductivity of 1st body is expressed as amount of heat flows per unit time through a unit area of first body with 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.
Thermal Conductivity of 2nd Body - (Measured in Watt per Meter per K) - Thermal Conductivity of 2nd body is expressed as amount of heat flows per unit time through a unit area of second body with temperature gradient of one degree per unit distance.
Radius of 3rd Concentric Sphere - (Measured in Meter) - Radius of 3rd Concentric Sphere is the distance from the center of the concentric spheres to any point on the third concentric sphere or radius of the third sphere.

STEP 1: Convert Input(s) to Base Unit

Inner Surface Temperature: 305 Kelvin --> 305 Kelvin No Conversion Required
Outer Surface Temperature: 300 Kelvin --> 300 Kelvin No Conversion Required
Thermal Conductivity of 1st Body: 0.001 Watt per Meter per K --> 0.001 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
Thermal Conductivity of 2nd Body: 0.002 Watt per Meter per K --> 0.002 Watt per Meter per K No Conversion Required
Radius of 3rd Concentric Sphere: 7 Meter --> 7 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Q^' = (T_i-T_o)/(1/(4*pi*k₁)*(1/r₁-1/r₂)+1/(4*pi*k₂)*(1/r₂-1/r₃)) --> (305-300)/(1/(4*pi*0.001)*(1/5-1/6)+1/(4*pi*0.002)*(1/6-1/7))

Evaluating ... ...

Q^' = 1.38891464685022

STEP 3: Convert Result to Output's Unit

1.38891464685022 Watt --> No Conversion Required

FINAL ANSWER

1.38891464685022 ≈ 1.388915 Watt <-- Heat Flow Rate of Wall of 2 Layers

(Calculation completed in 00.004 seconds)

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Created by Sai Venkata Phanindra Chary Arendra

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< 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)

Heat Flow Rate through Spherical Composite Wall of 2 Layers in Series Formula

LaTeX Go

What is a heat flow rate?

The rate of heat flow is the amount of heat that is transferred per unit of time in some material, usually measured in watt (joules per second). Heat is the flow of thermal energy driven by thermal non-equilibrium.

How to Calculate Heat Flow Rate through Spherical Composite Wall of 2 Layers in Series?

Heat Flow Rate through Spherical Composite Wall of 2 Layers in Series calculator uses 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)) to calculate the Heat Flow Rate of Wall of 2 Layers, The Heat flow rate through spherical composite wall of 2 layers in series formula is defined as the rate of heat flow through a spherical composite wall of 2 layers in series when inner and outer surface temperatures, radii, and thermal conductivities are known and convection resistances are neglected. Heat Flow Rate of Wall of 2 Layers is denoted by Q^' symbol.

How to calculate Heat Flow Rate through Spherical Composite Wall of 2 Layers in Series using this online calculator? To use this online calculator for Heat Flow Rate through Spherical Composite Wall of 2 Layers in Series, enter Inner Surface Temperature (T_i), Outer Surface Temperature (T_o), Thermal Conductivity of 1st Body (k₁), Radius of 1st Concentric Sphere (r₁), Radius of 2nd Concentric Sphere (r₂), Thermal Conductivity of 2nd Body (k₂) & Radius of 3rd Concentric Sphere (r₃) and hit the calculate button. Here is how the Heat Flow Rate through Spherical Composite Wall of 2 Layers in Series calculation can be explained with given input values -> 1.388915 = (305-300)/(1/(4*pi*0.001)*(1/5-1/6)+1/(4*pi*0.002)*(1/6-1/7)).

FAQ

What is Heat Flow Rate through Spherical Composite Wall of 2 Layers in Series?

The Heat flow rate through spherical composite wall of 2 layers in series formula is defined as the rate of heat flow through a spherical composite wall of 2 layers in series when inner and outer surface temperatures, radii, and thermal conductivities are known and convection resistances are neglected and is represented as Q^' = (T_i-T_o)/(1/(4*pi*k₁)*(1/r₁-1/r₂)+1/(4*pi*k₂)*(1/r₂-1/r₃)) or 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)). 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 is the temperature at the outer surface of the wall either plane wall or cylindrical wall or spherical wall, etc, Thermal Conductivity of 1st body is expressed as amount of heat flows per unit time through a unit area of first body with 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, Thermal Conductivity of 2nd body is expressed as amount of heat flows per unit time through a unit area of second body with temperature gradient of one degree per unit distance & Radius of 3rd Concentric Sphere is the distance from the center of the concentric spheres to any point on the third concentric sphere or radius of the third sphere.

How to calculate Heat Flow Rate through Spherical Composite Wall of 2 Layers in Series?

The Heat flow rate through spherical composite wall of 2 layers in series formula is defined as the rate of heat flow through a spherical composite wall of 2 layers in series when inner and outer surface temperatures, radii, and thermal conductivities are known and convection resistances are neglected is calculated using 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)). To calculate Heat Flow Rate through Spherical Composite Wall of 2 Layers in Series, you need Inner Surface Temperature (T_i), Outer Surface Temperature (T_o), Thermal Conductivity of 1st Body (k₁), Radius of 1st Concentric Sphere (r₁), Radius of 2nd Concentric Sphere (r₂), Thermal Conductivity of 2nd Body (k₂) & Radius of 3rd Concentric Sphere (r₃). With our tool, you need to enter the respective value for Inner Surface Temperature, Outer Surface Temperature, Thermal Conductivity of 1st Body, Radius of 1st Concentric Sphere, Radius of 2nd Concentric Sphere, Thermal Conductivity of 2nd Body & Radius of 3rd 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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