Critical Radius of Insulation of Hollow Sphere Calculator

Calculate Critical Radius





Formula

The formula to calculate the Critical Radius of Insulation (Rc) is:

\[ Rc = \frac{2 \cdot K_{\text{insulation}}}{h_{\text{outside}}} \]

Definition

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 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.

Example Calculation

Let's assume the following values:

Using the formula:

\[ Rc = \frac{2 \cdot 21}{9.8} \approx 4.28571428571429 \]

The Critical Radius of Insulation is approximately 4.28571428571429 Meter.

Conversion Chart

Thermal Conductivity (W/m·K) Convection Coefficient (W/m²·K) Critical Radius (Meter)
10 9.8 2.040816326530612
12 9.8 2.448979591836734
14 9.8 2.857142857142857
16 9.8 3.265306122448979
18 9.8 3.673469387755102
20 9.8 4.081632653061225
22 9.8 4.489795918367347
24 9.8 4.897959183673469
26 9.8 5.306122448979592
28 9.8 5.714285714285714
30 9.8 6.122448979591836