Heat Transfer Fundamentals

Introduction

The objective of thermal management programs in electronic packaging is the efficient removal of heat from the semiconductor junction to the ambient environment. This process can be separated into three major phases:

1) heat transfer within the semiconductor component package;

2) heat transfer from the package to a heat dissipater (the initial heat sink);/p>

3) heat transfer from the heat dissipater to the ambient environment (the ultimate heat sink)

The first phase is generally beyond the control of the system level thermal engineer because the package type defines the internal heat transfer processes. In the second and third phases, the packaging engineer’s goal is to design an efficient thermal connection from the package surface to the initial heat spreader and on to the ambient environment. Achieving this goal requires a thorough understanding of heat transfer fundamentals as well as knowledge of available interface materials and how their key physical properties affect the heat transfer process.

Basic Theory

The rate at which heat is conducted through a material is proportional to the area normal to the heat flow and to the temperature gradient along the heat flow path. For a one dimensional, steady state heat flow the rate is expressed by Fourier’s equation:

Where:

k = thermal conductivity, W/m-K
Q = rate of heat flow, W
A = contact area
d = distance of heat flow
T = temperature difference

Thermal conductivity, k, is an intrinsic property of a homogeneous material which describes the material’s ability to conduct heat. This property is independent of material size, shape or orientation. For non-homogeneous materials, those having glass mesh or polymer film reinforcement, the term “relative thermal conductivity” is appropriate because the thermal conductivity of these materials depends on the relative thickness of the layers and their orientation with respect to heat flow. Another inherent thermal property of a material is its thermal resistance, R, as defined in Equation 2.

This property is a measure of how a material of a specific thickness resists the flow of heat. The relationship between k and R is shown by substituting Equation (2) into (1) and rearranging to form (3)

Equation 3 shows that for homogeneous materials, thermal resistance is directly proportional to thickness. For non-homogeneous materials, the resistance generally increases with thickness but the relationship may not be linear.

Thermal conductivity and thermal resistance describe heat transfer within a material once heat has entered the material. Because real surfaces are never truly flat or smooth, the contact plane between a surface and a material can also produce a resistance to the flow of heat. This contact plane is depicted in Figure 1. Actual contact occurs at the high points, leaving air-filled voids where the valleys align. The air voids resist the flow of heat and force more of the heat to flow through the contact points. This constriction resistance is referred to as surface contact resistance and can be a factor at all contacting surfaces.

The thermal impedance, θ, of a material is defined as the sum of its thermal resistance and any contact resistance between it and the contacting surfaces as defined in Equation (4).

Figure 1a. Schematic representation of two surfaces in contact and heat flow across the interface.
Figure 1b. Interface material compressed between two contacting surfaces.

Surface flatness, surface roughness, clamping pressure, material thickness and compressive modulus have a major impact on contact resistance. Because these surface conditions can vary from application to application, the thermal impedance of a material will also be application dependent.

Thermal Interface Materials

Heat generated by a semiconductor must be removed to the ambient environment to maintain the junction temperature of the component within safe operating limits. Often this heat removal process involves conduction from a package surface to a heat spreader that can more efficiently transfer the heat to the ambient environment. The spreader has to be carefully joined to the package to minimize the thermal resistance of this newly formed thermal joint. Attaching a heat spreader to a semiconductor package surface requires that two commercial grade surfaces be brought into intimate contact. These surfaces are usually characterized by a microscopic surface roughness superimposed on a macroscopic non-planarity that can give the surfaces a concave, convex or twisted shape. When two such surfaces are joined, contact occurs only at the high points. The low points form air-filled voids. Typical contact area can consist of more than 90 percent air voids, which represents a significant resistance to heat flow.

Thermally conductive materials are used to eliminate these interstitial air gaps from the interface by conforming to the rough and uneven mating surfaces. Because the material has a greater thermal conductivity than the air it replaces, the resistance across the joint decreases, and the component junction temperature will be reduced.

A variety of material types have been developed in response to the changing needs of the electronic packaging market. These materials can be categorized as follows:

Phase-Change Materials.

THERMFLOW™ products provide a combination of grease-like thermal performance with pad-like convenience when used between high performance microprocessors and heat sinks.
• Can achieve less than 0.05°C- in 2/W thermal impedance
• Conform at operating temperature to minimize thermal path thickness
• Excellent surface “wetting” eliminates contact resistance

Phase-change materials behave like thermal greases after they reach their melt temperature. Their viscosity rapidly diminishes and they flow throughout the thermal joint to fill the gaps that were initially present. This process requires some compressive force, usually a few psi, to bring the two surfaces together and cause the material to flow. This process continues until the two surfaces come into contact at a minimum of three points, or the joint becomes so thin that the viscosity of the material prevents further flow. These materials do not provide electrical isolation because they may allow the two surfaces to make contact.

Thermal Tapes.

THERMATTACH tapes are a family of acrylic and silicone pressure-sensitive adhesive tapes designed to securely bond heat sinks to power dissipating components.
• Acrylic based adhesives for metal or ceramic packages
• Silicone based adhesive for bonding plastic packages to heat sinks
• Ionically pure formulations for use inside component packages and on printed circuit boards
• Limited gap filling properties require reasonable surface flatness
• High shear strength at elevated temperatures

Thermal tapes are used primarily for their mechanical adhesive properties, and to a lesser extent for their thermal properties. The thermal conductivity of these tapes is moderate and their thermal performance in an application is dependent on the contact area that can be achieved between the bonding surfaces.

Insulating Pads.

CHO-THERM® insulating pads were developed as a user-friendly alternative to greased mica insulators to be used between discrete power devices and heat sinks.
• Silicone binder provides high temperature stability and good electrical insulation properties
• Glass mesh reinforcement provides cut-through resistance
• High mounting pressure required to minimize contact resistance
• U.L. Recognized

This class of product is characterized by high thermal conductivity, very high dielectric strength and volume resistivity. Pads must conduct very large heat loads from discrete power semiconductors to heat sinks, while providing long-term electrical insulation between the live component case and the grounded heat sink.

Gap Fillers.

THERM-A-GAP™ gap fillers provide a family of low modulus (soft), thermally conductive silicone elastomers for applications where heat must be conducted over a large and variant gap between a semiconductor component and a heat dissipating surface.
• Soft silicone gel binder provides low modulus for conformability at low pressures
• Low modulus allows materials to make up for large tolerance stack ups
• Low pressure applications

Gap fillers are used to bridge large gaps between hot components and a cold surface. The gaps are not only large, but their tolerances can be +/–20 % or greater. This means that the gap filler must have sufficient pliancy to fill such spaces without stressing components beyond their safe limits. The thermal conductivity of these materials is in the moderate range and their use is typically limited to moderate-to-low power dissipation components.

Cure In Place Compounds.

THERM-A-FORM™ compounds are reactive, two-component silicone RTVs* that can be used to form thermal pathways in applications where the distance between a component and a cold surface is highly variable.
• Boron nitride or aluminum oxide-filled low modulus silicone resins
• Fill gaps ranging from 0.005 to 0.25 inch without stressing components
• Can cure at room temperature
• Localized encapsulating of components
*Room temperature vulcanizing materials.

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