Inside diameter 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%
✖Inside Temperature is the temperature of air present inside.ⓘ Inside Temperature [t_i]			+10% -10%
✖Outside Temperature is the temperature of air present outside.ⓘ Outside Temperature [t_o]			+10% -10%
✖Outside Diameter is the diameter of the outside surface.ⓘ Outside Diameter [D_o]			+10% -10%
✖Length is the measurement or extent of something from end to end.ⓘ Length [L]			+10% -10%

✖Inside Diameter is the diameter of the inside surface.ⓘ Inside diameter of concentric sphere [D_i]

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Inside diameter of concentric sphere Solution

STEP 0: Pre-Calculation Summary

Formula Used

Inside Diameter = Heat Transfer/(Thermal Conductivity*pi*(Inside Temperature-Outside Temperature)*Outside Diameter/Length)
D_i = q/(k_e*pi*(t_i-t_o)*D_o/L)
This formula uses 1 Constants, 7 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Inside Diameter - (Measured in Meter) - Inside Diameter is the diameter of the inside surface.
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.
Inside Temperature - (Measured in Kelvin) - Inside Temperature is the temperature of air present inside.
Outside Temperature - (Measured in Kelvin) - Outside Temperature is the temperature of air present outside.
Outside Diameter - (Measured in Meter) - Outside Diameter is the diameter of the outside surface.
Length - (Measured in Meter) - Length is the measurement or extent of something from end to end.

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
Inside Temperature: 273.0367 Kelvin --> 273.0367 Kelvin No Conversion Required
Outside Temperature: 273 Kelvin --> 273 Kelvin No Conversion Required
Outside Diameter: 0.05 Meter --> 0.05 Meter No Conversion Required
Length: 3 Meter --> 3 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

D_i = q/(k_e*pi*(t_i-t_o)*D_o/L) --> 2/(10*pi*(273.0367-273)*0.05/3)

Evaluating ... ...

D_i = 104.079526817599

STEP 3: Convert Result to Output's Unit

104.079526817599 Meter --> No Conversion Required

FINAL ANSWER

104.079526817599 ≈ 104.0795 Meter <-- Inside Diameter

(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 diameter 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 diameter of concentric sphere Formula

LaTeX Go

Inside Diameter = Heat Transfer/(Thermal Conductivity*pi*(Inside Temperature-Outside Temperature)*Outside Diameter/Length)
D_i = q/(k_e*pi*(t_i-t_o)*D_o/L)

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 diameter of concentric sphere?

Inside diameter of concentric sphere calculator uses Inside Diameter = Heat Transfer/(Thermal Conductivity*pi*(Inside Temperature-Outside Temperature)*Outside Diameter/Length) to calculate the Inside Diameter, The Inside diameter of concentric sphere formula is defined as diameter from inside of two concentric sphere. Inside Diameter is denoted by D_i symbol.

How to calculate Inside diameter of concentric sphere using this online calculator? To use this online calculator for Inside diameter of concentric sphere, enter Heat Transfer (q), Thermal Conductivity (k_e), Inside Temperature (t_i), Outside Temperature (t_o), Outside Diameter (D_o) & Length (L) and hit the calculate button. Here is how the Inside diameter of concentric sphere calculation can be explained with given input values -> 0.047746 = 2/(10*pi*(273.0367-273)*0.05/3).

FAQ

What is Inside diameter of concentric sphere?

The Inside diameter of concentric sphere formula is defined as diameter from inside of two concentric sphere and is represented as D_i = q/(k_e*pi*(t_i-t_o)*D_o/L) or Inside Diameter = Heat Transfer/(Thermal Conductivity*pi*(Inside Temperature-Outside Temperature)*Outside Diameter/Length). 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, Inside Temperature is the temperature of air present inside, Outside Temperature is the temperature of air present outside, Outside Diameter is the diameter of the outside surface & Length is the measurement or extent of something from end to end.

How to calculate Inside diameter of concentric sphere?

The Inside diameter of concentric sphere formula is defined as diameter from inside of two concentric sphere is calculated using Inside Diameter = Heat Transfer/(Thermal Conductivity*pi*(Inside Temperature-Outside Temperature)*Outside Diameter/Length). To calculate Inside diameter of concentric sphere, you need Heat Transfer (q), Thermal Conductivity (k_e), Inside Temperature (t_i), Outside Temperature (t_o), Outside Diameter (D_o) & Length (L). With our tool, you need to enter the respective value for Heat Transfer, Thermal Conductivity, Inside Temperature, Outside Temperature, Outside Diameter & Length 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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