Length of space between two concentric sphere Calculator

✖Thermal Conductivity is defined as the transport of energy due to random molecular motion across a temperature gradient.ⓘ Thermal Conductivity [k_Eff]			+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%
✖Inside diameter is the diameter of the inside surface.ⓘ Inside Diameter [D_i]			+10% -10%
✖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%

✖Length is the measurement or extent of something from end to end.ⓘ Length of space between two concentric sphere [L]

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Formula

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Length of space between two concentric sphere

Formula

`"L" = ("k"_{"Eff"}*pi*("t"_{"i"}-"t"_{"o"}))*(("D"_{"o"}*"D"_{"i"})/"q")`

Example

`"0.314159m"=("10W/(m*K)"*pi*("353K"-"273K"))*(("0.05m"*"0.005m")/"2W")`

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Length of space between two concentric sphere Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Length - (Measured in Meter) - Length is the measurement or extent of something from end to end.
Thermal Conductivity - (Measured in Watt per Meter per K) - Thermal Conductivity is defined as the transport of energy due to random molecular motion across a temperature gradient.
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.
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.

STEP 1: Convert Input(s) to Base Unit

Thermal Conductivity: 10 Watt per Meter per K --> 10 Watt per Meter per K No Conversion Required
Inside Temperature: 353 Kelvin --> 353 Kelvin No Conversion Required
Outside Temperature: 273 Kelvin --> 273 Kelvin No Conversion Required
Outside Diameter: 0.05 Meter --> 0.05 Meter No Conversion Required
Inside Diameter: 0.005 Meter --> 0.005 Meter No Conversion Required
Heat transfer: 2 Watt --> 2 Watt No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

L = (k_Eff*pi*(t_i-t_o))*((D_o*D_i)/q) --> (10*pi*(353-273))*((0.05*0.005)/2)

Evaluating ... ...

L = 0.314159265358979

STEP 3: Convert Result to Output's Unit

0.314159265358979 Meter --> No Conversion Required

FINAL ANSWER

0.314159265358979 ≈ 0.314159 Meter <-- Length

(Calculation completed in 00.004 seconds)

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Home » Physics » Heat and Mass Transfer » Convection » Free convection » Length of space between two concentric sphere

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

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< 23 Free convection Calculators

Bingham Number of Plastic Fluids from Isothermal Semi-circular Cylinder

Go Bingham Number = (Fluid Yield Stress/Plastic Viscosity)*((Diameter of Cylinder 1/(Acceleration due to Gravity*Coefficient Of Volumetric Expansion*Change in Temperature)))^(0.5)

Outside surface temperature for annular space between concentric cylinders

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

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

Outside diameter of concentric sphere

Go Outside Diameter = Heat transfer/((Thermal Conductivity*pi*(Inside Temperature-Outside Temperature))*((Inside Diameter)/Length))

Inside diameter of concentric sphere

Go Inside Diameter = Heat transfer/((Thermal Conductivity*pi*(Inside Temperature-Outside Temperature))*((Outside Diameter)/Length))

Length of space between two concentric sphere

Go Length = (Thermal Conductivity*pi*(Inside Temperature-Outside Temperature))*((Outside Diameter*Inside Diameter)/Heat transfer)

Inside temperature of concentric sphere

Go Inside Temperature = (Heat transfer/((Thermal Conductivity*pi*(Outer Diameter*Inner Diameter)/Length)))+Outside Temperature

Length of annular space between two concentric cylinders

Go Length = ((((ln(Outer Diameter/Inner Diameter))^4)*(Rayleigh number))/(((Inner Diameter^-0.6)+(Outer Diameter^-0.6))^5))^-3

Boundary layer thickness on vertical surfaces

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

Thermal conductivity of fluid

Go Thermal Conductivity = Thermal Conductivity/(0.386*(((Prandtl Number)/(0.861+Prandtl Number))^0.25)*(Rayleigh Number(t))^0.25)

Diameter of rotating cylinder in fluid given Reynolds number

Go Diameter = ((Reynolds Number(w)*Kinematic Viscosity)/(pi*Rotational speed))^(1/2)

Rotational speed given Reynolds number

Go Rotational speed = (Reynolds Number(w)*Kinematic Viscosity)/(pi*Diameter^2)

Kinematic viscosity given Reynolds number based on rotational speed

Go Kinematic Viscosity = Rotational speed*pi*(Diameter^2)/Reynolds Number(w)

Prandtl number given Graetz numbber

Go Prandtl Number = Graetz Number*Length/(Reynolds Number*Diameter)

Diameter given Graetz number

Go Diameter = Graetz Number*Length/(Reynolds Number*Prandtl Number)

Length given Graetz number

Go Length = Reynolds Number*Prandtl Number*(Diameter/Graetz Number)

Convective mass transfer coefficient at distance X from leading edge

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

Diameter at which turbulence starts

Go Diameter = (((5*10^5)*Kinematic Viscosity)/(Rotational speed))^1/2

Kinematic viscosity of fluid

Go Kinematic Viscosity = (Rotational speed*Diameter^2)/(5*10^5)

Rotational speed of disc

Go Rotational speed = (5*10^5)*Kinematic Viscosity/(Diameter^2)

Outside radius from gap length

Go Outer Radius = Gap length+Inside Radius

Inside radius from gap length

Go Inside Radius = Outer Radius-Gap length

Gap length

Go Gap length = Outer Radius-Inside Radius

Length of space between two concentric sphere Formula

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

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 Length of space between two concentric sphere?

Length of space between two concentric sphere calculator uses Length = (Thermal Conductivity*pi*(Inside Temperature-Outside Temperature))*((Outside Diameter*Inside Diameter)/Heat transfer) to calculate the Length, The Length of space between two concentric sphere formula is defined as distance between two concentric spheres. Length is denoted by L symbol.

How to calculate Length of space between two concentric sphere using this online calculator? To use this online calculator for Length of space between two concentric sphere, enter Thermal Conductivity (k_Eff), Inside Temperature (t_i), Outside Temperature (t_o), Outside Diameter (D_o), Inside Diameter (D_i) & Heat transfer (q) and hit the calculate button. Here is how the Length of space between two concentric sphere calculation can be explained with given input values -> 0.314159 = (10*pi*(353-273))*((0.05*0.005)/2).

FAQ

What is Length of space between two concentric sphere?

The Length of space between two concentric sphere formula is defined as distance between two concentric spheres and is represented as L = (k_Eff*pi*(t_i-t_o))*((D_o*D_i)/q) or Length = (Thermal Conductivity*pi*(Inside Temperature-Outside Temperature))*((Outside Diameter*Inside Diameter)/Heat transfer). Thermal Conductivity is defined as the transport of energy due to random molecular motion across a temperature gradient, 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, Inside diameter is the diameter of the inside surface & 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.

How to calculate Length of space between two concentric sphere?

The Length of space between two concentric sphere formula is defined as distance between two concentric spheres is calculated using Length = (Thermal Conductivity*pi*(Inside Temperature-Outside Temperature))*((Outside Diameter*Inside Diameter)/Heat transfer). To calculate Length of space between two concentric sphere, you need Thermal Conductivity (k_Eff), Inside Temperature (t_i), Outside Temperature (t_o), Outside Diameter (D_o), Inside Diameter (D_i) & Heat transfer (q). With our tool, you need to enter the respective value for Thermal Conductivity, Inside Temperature, Outside Temperature, Outside Diameter, Inside Diameter & Heat transfer 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 Length?

In this formula, Length uses Thermal Conductivity, Inside Temperature, Outside Temperature, Outside Diameter, Inside Diameter & Heat transfer. We can use 2 other way(s) to calculate the same, which is/are as follows -

Length = ((((ln(Outer Diameter/Inner Diameter))^4)*(Rayleigh number))/(((Inner Diameter^-0.6)+(Outer Diameter^-0.6))^5))^-3
Length = Reynolds Number*Prandtl Number*(Diameter/Graetz Number)

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