Critical Thickness of Insulation for Cylinder Calculator

↳

⤿

Basics of HMT

Conduction

Convection

Convective Mass Transfer

✖Thermal Conductivity of Fin is rate of heat passes through Fin, 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 of Fin [k_o]			+10% -10%
✖The Heat Transfer Coefficient is the heat transferred per unit area per kelvin. Thus area is included in the equation as it represents the area over which the transfer of heat takes place.ⓘ Heat Transfer Coefficient [h_transfer]			+10% -10%

✖Critical thickness of insulation means maximum heat loss with min thermal resistance.ⓘ Critical Thickness of Insulation for Cylinder [r_c]

⎘ Copy

👎

Formula

✖

Critical Thickness of Insulation for Cylinder

Formula

`"r"_{"c"} = "k"_{"o"}/"h"_{"transfer"}`

Example

`"0.771212m"="10.18W/(m*K)"/"13.2W/m²*K"`

Calculator

LaTeX

Reset

👍

Download Heat and Mass Transfer Formula PDF

Critical Thickness of Insulation for Cylinder Solution

STEP 0: Pre-Calculation Summary

Formula Used

Critical Thickness of Insulation = Thermal Conductivity of Fin/Heat Transfer Coefficient
r_c = k_o/h_transfer
This formula uses 3 Variables

Variables Used

Critical Thickness of Insulation - (Measured in Meter) - Critical thickness of insulation means maximum heat loss with min thermal resistance.
Thermal Conductivity of Fin - (Measured in Watt per Meter per K) - Thermal Conductivity of Fin is rate of heat passes through Fin, expressed as amount of heat flows per unit time through a unit area with a temperature gradient of one degree per unit distance.
Heat Transfer Coefficient - (Measured in Watt per Square Meter per Kelvin) - The Heat Transfer Coefficient is the heat transferred per unit area per kelvin. Thus area is included in the equation as it represents the area over which the transfer of heat takes place.

STEP 1: Convert Input(s) to Base Unit

Thermal Conductivity of Fin: 10.18 Watt per Meter per K --> 10.18 Watt per Meter per K No Conversion Required
Heat Transfer Coefficient: 13.2 Watt per Square Meter per Kelvin --> 13.2 Watt per Square Meter per Kelvin No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r_c = k_o/h_transfer --> 10.18/13.2

Evaluating ... ...

r_c = 0.771212121212121

STEP 3: Convert Result to Output's Unit

0.771212121212121 Meter --> No Conversion Required

FINAL ANSWER

0.771212121212121 ≈ 0.771212 Meter <-- Critical Thickness of Insulation

(Calculation completed in 00.004 seconds)

You are here -

Home » Physics » Heat and Mass Transfer » Critical Thickness of Insulation for Cylinder

Credits

Created by Rushi Shah

K J Somaiya College of Engineering (K J Somaiya), Mumbai

Rushi Shah has created this Calculator and 25+ more calculators!

Verified by Keshav Vyas

Sardar Vallabhbhai National Institute of Technology (SVNIT), Surat

Keshav Vyas has verified this Calculator and 5 more calculators!

< 13 Heat and Mass Transfer Calculators

Heat Transfer by Conduction at Base

Go Rate of Conductive Heat Transfer = (Thermal Conductivity*Cross Sectional Area of Fin*Perimeter of the Fin*Convective Heat Transfer Coefficient)^0.5*(Base Temperature-Ambient Temperature)

Heat Exchange by Radiation due to Geometric Arrangement

Go Heat Transfer = Emissivity*Area*[Stefan-BoltZ]*Shape Factor*(Temperature of Surface 1^(4)-Temperature of Surface 2^(4))

Black Bodies Heat Exchange by Radiation

Go Heat Transfer = Emissivity*[Stefan-BoltZ]*Area*(Temperature of Surface 1^(4)-Temperature of Surface 2^(4))

Heat Transfer According to Fourier's Law

Go Heat Flow Through a Body = -(Thermal Conductivity of Material*Surface Area of Heat Flow*Temperature Difference/Thickness)

One Dimensional Heat Flux

Go Heat Flux = -Thermal Conductivity of Fin/Wall Thickness*(Temperature of Wall 2-Temperature of Wall 1)

Newton's Law of Cooling

Go Heat Flux = Heat Transfer Coefficient*(Surface Temperature-Temperature of Characteristic Fluid)

Non Ideal Body Surface Emittance

Go Real Surface Radiant Surface Emittance = Emissivity*[Stefan-BoltZ]*Surface Temperature^(4)

Convective Processes Heat Transfer Coefficient

Go Heat Flux = Heat Transfer Coefficient*(Surface Temperature-Recovery temperature)

Thermal Conductivity given Critical Thickness of Insulation for Cylinder

Go Thermal Conductivity of Fin = Critical Thickness of Insulation*Heat Transfer Coefficient at Outer Surface

Diameter of Rod Circular Fin given Area of Cross-Section

Go Diameter of Circular Rod = sqrt((Cross-sectional area*4)/pi)

Critical Thickness of Insulation for Cylinder

Go Critical Thickness of Insulation = Thermal Conductivity of Fin/Heat Transfer Coefficient

Thermal Resistance in Convection Heat Transfer

Go Thermal Resistance = 1/(Exposed Surface Area*Co-efficient of Convective Heat Transfer)

Heat Transfer

Go Heat Flow Rate = Thermal Potential Difference/Thermal Resistance

< 13 Conduction, Convection and Radiation Calculators

Heat Transfer by Conduction at Base

Go Rate of Conductive Heat Transfer = (Thermal Conductivity*Cross Sectional Area of Fin*Perimeter of the Fin*Convective Heat Transfer Coefficient)^0.5*(Base Temperature-Ambient Temperature)

Heat Exchange by Radiation due to Geometric Arrangement

Go Heat Transfer = Emissivity*Area*[Stefan-BoltZ]*Shape Factor*(Temperature of Surface 1^(4)-Temperature of Surface 2^(4))

Black Bodies Heat Exchange by Radiation

Go Heat Transfer = Emissivity*[Stefan-BoltZ]*Area*(Temperature of Surface 1^(4)-Temperature of Surface 2^(4))

Heat Transfer According to Fourier's Law

Go Heat Flow Through a Body = -(Thermal Conductivity of Material*Surface Area of Heat Flow*Temperature Difference/Thickness)

One Dimensional Heat Flux

Go Heat Flux = -Thermal Conductivity of Fin/Wall Thickness*(Temperature of Wall 2-Temperature of Wall 1)

Newton's Law of Cooling

Go Heat Flux = Heat Transfer Coefficient*(Surface Temperature-Temperature of Characteristic Fluid)

Non Ideal Body Surface Emittance

Go Real Surface Radiant Surface Emittance = Emissivity*[Stefan-BoltZ]*Surface Temperature^(4)

Thermal Resistance in Conduction

Go Thermal Resistance = (Thickness)/(Thermal Conductivity of Fin*Cross Sectional Area)

Convective Processes Heat Transfer Coefficient

Go Heat Flux = Heat Transfer Coefficient*(Surface Temperature-Recovery temperature)

Thermal Conductivity given Critical Thickness of Insulation for Cylinder

Go Thermal Conductivity of Fin = Critical Thickness of Insulation*Heat Transfer Coefficient at Outer Surface

Critical Thickness of Insulation for Cylinder

Go Critical Thickness of Insulation = Thermal Conductivity of Fin/Heat Transfer Coefficient

Thermal Resistance in Convection Heat Transfer

Go Thermal Resistance = 1/(Exposed Surface Area*Co-efficient of Convective Heat Transfer)

Heat Transfer

Go Heat Flow Rate = Thermal Potential Difference/Thermal Resistance

Critical Thickness of Insulation for Cylinder Formula

Critical Thickness of Insulation = Thermal Conductivity of Fin/Heat Transfer Coefficient
r_c = k_o/h_transfer

What is critical thickness of insulation?

The thickness up to which heat flow increases and after which heat flow decreases is termed as critical thickness.

How to Calculate Critical Thickness of Insulation for Cylinder?

Critical Thickness of Insulation for Cylinder calculator uses Critical Thickness of Insulation = Thermal Conductivity of Fin/Heat Transfer Coefficient to calculate the Critical Thickness of Insulation, Critical Thickness of Insulation for Cylinder = (Thermal Conductivity / Heat Transfer Coefficient). Critical Thickness of Insulation is denoted by r_c symbol.

How to calculate Critical Thickness of Insulation for Cylinder using this online calculator? To use this online calculator for Critical Thickness of Insulation for Cylinder, enter Thermal Conductivity of Fin (k_o) & Heat Transfer Coefficient (h_transfer) and hit the calculate button. Here is how the Critical Thickness of Insulation for Cylinder calculation can be explained with given input values -> 0.771212 = 10.18/13.2.

FAQ

What is Critical Thickness of Insulation for Cylinder?

Critical Thickness of Insulation for Cylinder = (Thermal Conductivity / Heat Transfer Coefficient) and is represented as r_c = k_o/h_transfer or Critical Thickness of Insulation = Thermal Conductivity of Fin/Heat Transfer Coefficient. Thermal Conductivity of Fin is rate of heat passes through Fin, expressed as amount of heat flows per unit time through a unit area with a temperature gradient of one degree per unit distance & The Heat Transfer Coefficient is the heat transferred per unit area per kelvin. Thus area is included in the equation as it represents the area over which the transfer of heat takes place.

How to calculate Critical Thickness of Insulation for Cylinder?

Critical Thickness of Insulation for Cylinder = (Thermal Conductivity / Heat Transfer Coefficient) is calculated using Critical Thickness of Insulation = Thermal Conductivity of Fin/Heat Transfer Coefficient. To calculate Critical Thickness of Insulation for Cylinder, you need Thermal Conductivity of Fin (k_o) & Heat Transfer Coefficient (h_transfer). With our tool, you need to enter the respective value for Thermal Conductivity of Fin & Heat Transfer Coefficient and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

Home

FREE PDFs

🔍 Search