Critical Thickness of Insulation for Cylinder Calculator

✖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]			+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_t]			+10% -10%

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

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Formula

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Critical Thickness of Insulation for Cylinder

Formula

r c = \frac{k}{h t}

Example

0.771212 m = \frac{10.18 W/(m*K)}{13.2 W/m²*K}

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Critical Thickness of Insulation for Cylinder Solution

STEP 0: Pre-Calculation Summary

Formula Used

Critical Thickness of Insulation = Thermal Conductivity/Heat Transfer Coefficient
r_c = k/h_t
This formula uses 3 Variables

Variables Used

Critical Thickness of Insulation - (Measured in Meter) - Critical thickness of insulation means the thickness at which maximum heat loss with min thermal resistance.
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.
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: 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/h_t --> 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)

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Created by Rushi Shah

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

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< Conduction in Cylinder Calculators

Total Thermal Resistance of 3 Cylindrical Resistances Connected in Series

Go Thermal Resistance = (ln(Radius of 2nd Cylinder/Radius of 1st Cylinder))/(2*pi*Thermal Conductivity 1*Length of Cylinder)+(ln(Radius of 3rd Cylinder/Radius of 2nd Cylinder))/(2*pi*Thermal Conductivity 2*Length of Cylinder)+(ln(Radius of 4th Cylinder/Radius of 3rd Cylinder))/(2*pi*Thermal Conductivity 3*Length of Cylinder)

Total Thermal Resistance of Cylindrical Wall with Convection on Both Sides

Go Thermal Resistance = 1/(2*pi*Radius of 1st Cylinder*Length of Cylinder*Inside Convection Heat Transfer Coefficient)+(ln(Radius of 2nd Cylinder/Radius of 1st Cylinder))/(2*pi*Thermal Conductivity*Length of Cylinder)+1/(2*pi*Radius of 2nd Cylinder*Length of Cylinder*External Convection Heat Transfer Coefficient)

Total Thermal Resistance of 2 Cylindrical Resistances Connected in Series

Thermal Resistance for Radial Heat Conduction in Cylinders

Go Thermal Resistance = ln(Outer Radius/Inner Radius)/(2*pi*Thermal Conductivity*Length of Cylinder)

< Conduction, Convection and Radiation Calculators

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))

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 of The Body)

Convective Processes Heat Transfer Coefficient

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

Thermal Resistance in Convection Heat Transfer

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

Critical Thickness of Insulation for Cylinder Formula

Critical Thickness of Insulation = Thermal Conductivity/Heat Transfer Coefficient
r_c = k/h_t

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/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 (k) & Heat Transfer Coefficient (h_t) 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/h_t or Critical Thickness of Insulation = Thermal Conductivity/Heat Transfer Coefficient. 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 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/Heat Transfer Coefficient. To calculate Critical Thickness of Insulation for Cylinder, you need Thermal Conductivity (k) & Heat Transfer Coefficient (h_t). With our tool, you need to enter the respective value for Thermal Conductivity & Heat Transfer Coefficient 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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