Quick Answer
The pcb thermal via array conduction resistance (cylindrical model) calculator computes thermal resistance of via array from the input values you provide.
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Find Engineering Solutions →Result Interpretation
PCB Thermal Via Array Conduction Resistance (Cylindrical Model) calculator computes Thermal resistance of via array in K/W using the defined engineering formula and the input values provided. Thermal resistance of via array is expressed in K/W. No universal acceptance threshold is defined by this calculator.
Worked Example
Verified calculation
Given:
- PCB substrate thickness between planes = 0.0016
- Number of thermal vias in array = 12
- Radius of a single via barrel (plated hole) = 0.00015
- Thermal conductivity of copper plating = 390
Expected Result:
- Thermal resistance of via array = 4.8366174538848
Engineering Interpretation:
Under the given input conditions, the calculated result is: Thermal resistance of via array = 4.8366174538848 K/W.
The actual numerical result is computed by the Runtime engine using the persisted tool definition. The values shown here come from deterministically validated test cases.
Formula / Method
thermal resistance of via array = (pcb substrate thickness between planes / (number of thermal vias in array * 3.14159265358979 * plated hole * plated hole * thermal conductivity of copper plating))Thermal resistance of via array.
Variables
| Symbol | Label | Role | Description |
|---|---|---|---|
| thickness | PCB substrate thickness between planes | INPUT | PCB substrate thickness between planes |
| num_vias | Number of thermal vias in array | INPUT | Number of thermal vias in array |
| via_radius | Radius of a single via barrel (plated hole) | INPUT | Radius of a single via barrel (plated hole) |
| k_copper | Thermal conductivity of copper plating | INPUT | Thermal conductivity of copper plating |
| result | Thermal resistance of via array | OUTPUT | Thermal resistance of via array |
Calculation Steps
- Enter the pcb substrate thickness between planes in m.
- Enter the number of thermal vias in array in 1.
- Enter the radius of a single via barrel (plated hole) in m.
- Enter the thermal conductivity of copper plating in W/(m*K).
- Step 1: Compute thermal resistance of via array.
- Read the thermal resistance of via array (K/W) from the results.
Frequently Asked Questions
What does this calculator calculate?
The PCB Thermal Via Array Conduction Resistance (Cylindrical Model) calculator estimates Thermal resistance of via array based on the input parameters you provide
Why is pcb substrate thickness between planes important in this calculation?
pcb substrate thickness between planes is directly proportional to thermal resistance of via array. When you enter pcb substrate thickness between planes in m, the calculator uses it in the engineering formula to compute the output
How should I interpret the result thermal resistance of via array?
The calculator outputs thermal resistance of via array in K/W. The result is computed directly from the input values using the defined engineering formula
What units should I use for the inputs?
Enter each value in the units shown next to the input field: PCB substrate thickness between planes (m), Radius of a single via barrel (plated hole) (m), Thermal conductivity of copper plating (W/(m*K)). Make sure all inputs use the specified units for consistent results
What assumptions does this calculator use?
This calculator uses automatically validated engineering formulas. Results are approximate and should be validated against site-specific conditions, applicable codes, and professional engineering judgment
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