Critical Radius of Insulation of Hollow Sphere Calculator

✖Thermal Conductivity of Insulation is defined as the ability of insulating material to transmit heat.ⓘ Thermal Conductivity of Insulation [K_insulation]			+10% -10%
✖External Convection Heat Transfer Coefficient is the proportionality constant between the heat flux and the thermodynamic driving force for the flow of heat in case of convective heat transfer.ⓘ External Convection Heat Transfer Coefficient [h_outside]			+10% -10%

✖Critical Radius of Insulation is the radius of insulation at which there is maximum heat transfer and increase or decrease in its value will lead to an overall decrease in heat transfer.ⓘ Critical Radius of Insulation of Hollow Sphere [R_c]

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Critical Radius of Insulation of Hollow Sphere Solution

STEP 0: Pre-Calculation Summary

Formula Used

Critical Radius of Insulation = 2*Thermal Conductivity of Insulation/External Convection Heat Transfer Coefficient
R_c = 2*K_insulation/h_outside
This formula uses 3 Variables

Variables Used

Critical Radius of Insulation - (Measured in Meter) - Critical Radius of Insulation is the radius of insulation at which there is maximum heat transfer and increase or decrease in its value will lead to an overall decrease in heat transfer.
Thermal Conductivity of Insulation - (Measured in Watt per Meter per K) - Thermal Conductivity of Insulation is defined as the ability of insulating material to transmit heat.
External Convection Heat Transfer Coefficient - (Measured in Watt per Square Meter per Kelvin) - External Convection Heat Transfer Coefficient is the proportionality constant between the heat flux and the thermodynamic driving force for the flow of heat in case of convective heat transfer.

STEP 1: Convert Input(s) to Base Unit

Thermal Conductivity of Insulation: 21 Watt per Meter per K --> 21 Watt per Meter per K No Conversion Required
External Convection Heat Transfer Coefficient: 9.8 Watt per Square Meter per Kelvin --> 9.8 Watt per Square Meter per Kelvin No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

R_c = 2*K_insulation/h_outside --> 2*21/9.8

Evaluating ... ...

R_c = 4.28571428571429

STEP 3: Convert Result to Output's Unit

4.28571428571429 Meter --> No Conversion Required

FINAL ANSWER

4.28571428571429 ≈ 4.285714 Meter <-- Critical Radius of Insulation

(Calculation completed in 00.004 seconds)

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Birla Institute of Technology & Science (BITS), Pilani

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Critical Radius of Insulation of Hollow Sphere

LaTeX Go Critical Radius of Insulation = 2*Thermal Conductivity of Insulation/External Convection Heat Transfer Coefficient

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LaTeX Go Critical Radius of Insulation = Thermal Conductivity of Insulation/External Convection Heat Transfer Coefficient

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Biot Number using Characteristic Length

LaTeX Go Biot Number = (Heat Transfer Coefficient*Characteristic Length)/(Thermal Conductivity of Fin)

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LaTeX Go Correction Length for Cylindrical Fin = Length of Fin+(Diameter of Cylindrical Fin/4)

Correction Length for Thin Rectangular Fin with Non-Adiabatic Tip

LaTeX Go Correction Length for Thin Rectangular Fin = Length of Fin+(Thickness of Fin/2)

Correction Length for Square Fin with Non-Adiabatic Tip

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Critical Radius of Insulation of Hollow Sphere Formula

LaTeX Go

Critical Radius of Insulation = 2*Thermal Conductivity of Insulation/External Convection Heat Transfer Coefficient
R_c = 2*K_insulation/h_outside

Critical Radius of Insulation of a Sphere

Critical Radius of Insulation of a Sphere is the radius of insulation at which there is maximum heat transfer and increase or decrease in its value will lead to an overall decrease in heat transfer.

How to Calculate Critical Radius of Insulation of Hollow Sphere?

Critical Radius of Insulation of Hollow Sphere calculator uses Critical Radius of Insulation = 2*Thermal Conductivity of Insulation/External Convection Heat Transfer Coefficient to calculate the Critical Radius of Insulation, Critical Radius of Insulation of Hollow Sphere is the radius of insulation at which there is maximum heat transfer and an increase or decrease in its value will lead to an overall decrease in heat transfer. Critical Radius of Insulation is denoted by R_c symbol.

How to calculate Critical Radius of Insulation of Hollow Sphere using this online calculator? To use this online calculator for Critical Radius of Insulation of Hollow Sphere, enter Thermal Conductivity of Insulation (K_insulation) & External Convection Heat Transfer Coefficient (h_outside) and hit the calculate button. Here is how the Critical Radius of Insulation of Hollow Sphere calculation can be explained with given input values -> 4.285714 = 2*21/9.8.

FAQ

What is Critical Radius of Insulation of Hollow Sphere?

Critical Radius of Insulation of Hollow Sphere is the radius of insulation at which there is maximum heat transfer and an increase or decrease in its value will lead to an overall decrease in heat transfer and is represented as R_c = 2*K_insulation/h_outside or Critical Radius of Insulation = 2*Thermal Conductivity of Insulation/External Convection Heat Transfer Coefficient. Thermal Conductivity of Insulation is defined as the ability of insulating material to transmit heat & External Convection Heat Transfer Coefficient is the proportionality constant between the heat flux and the thermodynamic driving force for the flow of heat in case of convective heat transfer.

How to calculate Critical Radius of Insulation of Hollow Sphere?

Critical Radius of Insulation of Hollow Sphere is the radius of insulation at which there is maximum heat transfer and an increase or decrease in its value will lead to an overall decrease in heat transfer is calculated using Critical Radius of Insulation = 2*Thermal Conductivity of Insulation/External Convection Heat Transfer Coefficient. To calculate Critical Radius of Insulation of Hollow Sphere, you need Thermal Conductivity of Insulation (K_insulation) & External Convection Heat Transfer Coefficient (h_outside). With our tool, you need to enter the respective value for Thermal Conductivity of Insulation & External Convection Heat Transfer Coefficient 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 Critical Radius of Insulation?

In this formula, Critical Radius of Insulation uses Thermal Conductivity of Insulation & External Convection Heat Transfer Coefficient. We can use 2 other way(s) to calculate the same, which is/are as follows -

Critical Radius of Insulation = Thermal Conductivity of Insulation/External Convection Heat Transfer Coefficient
Critical Radius of Insulation = Thermal Conductivity of Insulation/External Convection Heat Transfer Coefficient

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