User Manual
17
Thermal Solutions Design Guide | Specifications subject to change
Estimating power requirements
The total amount of power required for an application is the larger 
of two values:
1. Warm-up power + Heat lost during warm-up 
2. Process heat + Heat lost in steady state
Warm-up power: Watts required to bring an object to  
temperature in a given time. The basic formula is:
()
()
t
TTmC
wattsP
ifp
−
=
where: 
m  =  Mass of object (g) 
C
p
  =  Specific heat of material (J/g/°C) 
T
f
  =  Final temperature of object (°C) 
T
i
  =  Initial temperature of object (°C) 
t  =  Warm-up time (seconds)
For other materials see Minco white paper “Prototyping Techniques for 
Etched-Foil Heaters” at www.minco.com.
To get:  Multiply: 
 J/g/°C   BTU/lb/°F × 4.19 
 g/cm³   lbs/ft³ × 0.016
Process heat: Heat required to process a material when the heater 
is performing useful work. The formula above also applies here, 
but must also include latent heat if material changes state (melts 
or evaporates).
Heat loss: All systems lose heat through convection (air or  
liquid movement), conduction through support structures,  
and thermal radiation. 
For more tips on designing and testing with Thermofoil heaters, 
visit the Heaters page on Minco.com.
Material Specific heat (J/g/°C) Density (g/cm³)
Air 1.00 0.0012
Aluminum 0.88 2.71
Copper 0.38 8.97
Glass 0.75 2.64
Oil (typical) 1.90 0.90
Plastic (typical) 1.25 Varies
Silicon 0.71 2.32
Solder 0.19 8.65
Steel 0.50 7.85
Water 4.19 1.00
INNER ELEMENT
POWER SUPPLY
OUTER ELEMENT
POWER SUPPLY
Estimating power distribution
A mosaic of standard heaters, with dual power supplies, 
helps to determine edge profiling for uniform temperature.
The resulting custom heater looks like this.
Prototyping with Thermofoil Heaters
Use multiple standard heaters to prototype a proled heating solution
Create a Mosaic of Heaters
Etched-foil heaters provide excellent temperature control and 
uniformity in a broad range of applications. Their thin profile 
and foil elements contribute to fast warm-up, consistent 
heat distribution, and extended heater life. To achieve 
ideal performance, however, the heater must be properly 
configured to the thermal demands of the application. 
The complex physics of heat transfer makes it difficult to 
predict all aspects of system performance in the early design 
stages. Therefore, applications requiring tightly regulated 
temperature may require extensive prototype work.
Minco offers off-the-shelf stock heaters in a variety of sizes 
and insulation packages, including polyimide, silicone rubber, 
mica, optically-clear polyester, or PTFE.
If the size or shape of your heat sink precludes using a single 
standard heater, you can often construct a mosaic to cover the 
surface. Grouped etched-foil heaters mimic profiled designs. 
Simply increase power to certain heaters until temperature 
stabilizes in the desired pattern. The resulting power settings 
tell you how to profile the watt density zones in a custom 
design.










