Inside temperature of concentric sphere Calculator

✖Heat Transfer is defined as the movement of heat across the border of the system due to a difference in temperature between the system and its surroundings.ⓘ Heat Transfer [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_e]			+10% -10%
✖The Outer Diameter is the diameter of outer edge of circular hollow shaft.ⓘ Outer Diameter [d_o]			+10% -10%
✖The Inner Diameter is the diameter of inner circle of circular hollow shaft.ⓘ Inner Diameter [d_i]			+10% -10%
✖Length is the measurement or extent of something from end to end.ⓘ Length [L]			+10% -10%
✖Outside Temperature is the temperature of air present outside.ⓘ Outside Temperature [t_o]			+10% -10%

✖Inside Temperature is the temperature of air present inside.ⓘ Inside temperature of concentric sphere [t_i]

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Inside temperature of concentric sphere Solution

STEP 0: Pre-Calculation Summary

Formula Used

Inside Temperature = (Heat Transfer/(Thermal Conductivity*pi*(Outer Diameter*Inner Diameter)/Length))+Outside Temperature
t_i = (q/(k_e*pi*(d_o*d_i)/L))+t_o
This formula uses 1 Constants, 7 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Inside Temperature - (Measured in Kelvin) - Inside Temperature is the temperature of air present inside.
Heat Transfer - (Measured in Watt) - Heat Transfer is defined as the movement of heat across the border of the system due to a difference in temperature between the system and its surroundings.
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.
Outer Diameter - (Measured in Meter) - The Outer Diameter is the diameter of outer edge of circular hollow shaft.
Inner Diameter - (Measured in Meter) - The Inner Diameter is the diameter of inner circle of circular hollow shaft.
Length - (Measured in Meter) - Length is the measurement or extent of something from end to end.
Outside Temperature - (Measured in Kelvin) - Outside Temperature is the temperature of air present outside.

STEP 1: Convert Input(s) to Base Unit

Heat Transfer: 2 Watt --> 2 Watt No Conversion Required
Thermal Conductivity: 10 Watt per Meter per K --> 10 Watt per Meter per K No Conversion Required
Outer Diameter: 0.26 Meter --> 0.26 Meter No Conversion Required
Inner Diameter: 35 Meter --> 35 Meter No Conversion Required
Length: 3 Meter --> 3 Meter No Conversion Required
Outside Temperature: 273 Kelvin --> 273 Kelvin No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

t_i = (q/(k_e*pi*(d_o*d_i)/L))+t_o --> (2/(10*pi*(0.26*35)/3))+273

Evaluating ... ...

t_i = 273.020987465023

STEP 3: Convert Result to Output's Unit

273.020987465023 Kelvin --> No Conversion Required

FINAL ANSWER

273.020987465023 ≈ 273.021 Kelvin <-- Inside Temperature

(Calculation completed in 00.004 seconds)

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Home » Physics » Heat and Mass Transfer » Convection » Free convection » Mechanical » Convective Flow Over Cylinder and Sphere » Inside temperature of concentric sphere

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Created by Nishan Poojary

Shri Madhwa Vadiraja Institute of Technology and Management (SMVITM), Udupi

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< Convective Flow Over Cylinder and Sphere Calculators

Outside surface temperature for annular space between concentric cylinders

LaTeX Go Outside Temperature = Inside Temperature-(Heat Transfer Per Unit Length*(ln(Outside Diameter/Inside Diameter))/(2*pi*Thermal Conductivity))

Inside surface temperature for annular space between concentric cylinders

LaTeX Go Inside Temperature = (Heat Transfer Per Unit Length*(ln(Outside Diameter/Inside Diameter))/(2*pi*Thermal Conductivity))+Outside Temperature

Boundary layer thickness on vertical surfaces

LaTeX Go Boundary Layer Thickness = 3.93*Distance From Point to YY Axis*Prandtl Number^(-0.5)*(0.952+Prandtl Number)^0.25*Local Grashof Number^(-0.25)

Convective mass transfer coefficient at distance X from leading edge

LaTeX Go Convective Mass Transfer Coefficient = (2*Thermal Conductivity)/Boundary Layer Thickness

Inside temperature of concentric sphere Formula

LaTeX Go

Inside Temperature = (Heat Transfer/(Thermal Conductivity*pi*(Outer Diameter*Inner Diameter)/Length))+Outside Temperature
t_i = (q/(k_e*pi*(d_o*d_i)/L))+t_o

What is convection?

Convection is the process of heat transfer by the bulk movement of molecules within fluids such as gases and liquids. The initial heat transfer between the object and the fluid takes place through conduction, but the bulk heat transfer happens due to the motion of the fluid.
Convection is the process of heat transfer in fluids by the actual motion of matter.
It happens in liquids and gases.
It may be natural or forced.
It involves a bulk transfer of portions of the fluid.

How to Calculate Inside temperature of concentric sphere?

Inside temperature of concentric sphere calculator uses Inside Temperature = (Heat Transfer/(Thermal Conductivity*pi*(Outer Diameter*Inner Diameter)/Length))+Outside Temperature to calculate the Inside Temperature, The Inside temperature of concentric sphere formula is defined as the temperature inside the concentric sphere during free convection. Inside Temperature is denoted by t_i symbol.

How to calculate Inside temperature of concentric sphere using this online calculator? To use this online calculator for Inside temperature of concentric sphere, enter Heat Transfer (q), Thermal Conductivity (k_e), Outer Diameter (d_o), Inner Diameter (d_i), Length (L) & Outside Temperature (t_o) and hit the calculate button. Here is how the Inside temperature of concentric sphere calculation can be explained with given input values -> 273.021 = (2/(10*pi*(0.26*35)/3))+273.

FAQ

What is Inside temperature of concentric sphere?

The Inside temperature of concentric sphere formula is defined as the temperature inside the concentric sphere during free convection and is represented as t_i = (q/(k_e*pi*(d_o*d_i)/L))+t_o or Inside Temperature = (Heat Transfer/(Thermal Conductivity*pi*(Outer Diameter*Inner Diameter)/Length))+Outside Temperature. Heat Transfer is defined as the movement of heat across the border of the system due to a difference in temperature between the system and its surroundings, 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, The Outer Diameter is the diameter of outer edge of circular hollow shaft, The Inner Diameter is the diameter of inner circle of circular hollow shaft, Length is the measurement or extent of something from end to end & Outside Temperature is the temperature of air present outside.

How to calculate Inside temperature of concentric sphere?

The Inside temperature of concentric sphere formula is defined as the temperature inside the concentric sphere during free convection is calculated using Inside Temperature = (Heat Transfer/(Thermal Conductivity*pi*(Outer Diameter*Inner Diameter)/Length))+Outside Temperature. To calculate Inside temperature of concentric sphere, you need Heat Transfer (q), Thermal Conductivity (k_e), Outer Diameter (d_o), Inner Diameter (d_i), Length (L) & Outside Temperature (t_o). With our tool, you need to enter the respective value for Heat Transfer, Thermal Conductivity, Outer Diameter, Inner Diameter, Length & Outside Temperature 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 Inside Temperature?

In this formula, Inside Temperature uses Heat Transfer, Thermal Conductivity, Outer Diameter, Inner Diameter, Length & Outside Temperature. We can use 1 other way(s) to calculate the same, which is/are as follows -

Inside Temperature = (Heat Transfer Per Unit Length*(ln(Outside Diameter/Inside Diameter))/(2*pi*Thermal Conductivity))+Outside Temperature

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