60 Chapter 2 Introduction to Conduction 2.2 The Thermal Properties of Matter 2.2.1 Thermal Conductivity The Solid State 2.2 Foams Carbon dioxide 0.01 61 The Thermal Properties of Matter Zinc Silver PURE METALS Nickel Aluminum ALLOYS Plastics Ice Oxides NONMETALLIC SOLIDS Fibers Oils Water LIQUIDS Hydrogen GASES 0.1 Mercury 1 10 Thermal conductivity (W/m•K) 100 1000 FIGURE 2.4 Range of thermal conductivity for various states of matter at normal temperatures and pressure. Chapter 2 Introduction to Conduction 500 400 Silver Copper 300 Gold Aluminum Aluminum alloy 2024 Tungsten 200 100 Thermal conductivity (W/m•K) 62 Platinum 50 Iron 20 Stainless steel, AISI 304 10 Aluminum oxide 5 Pyroceram 2 1 100 Fused quartz 300 500 1000 Temperature (K) 2000 4000 FIGURE 2.5 The temperature dependence of the thermal conductivity of selected solids. The Solid State: Micro- and Nanoscale Effects 2.2 63 The Thermal Properties of Matter 1 2 ( ) 1 ( ) FIGURE 2.6 Electron or phonon trajectories in (a) a relatively thick film and (b) a relatively thin film with boundary effects. TABLE 2.1 Mean free path and critical film thickness for various materials at T 300 K [3,4] Chapter 2 Introduction to Conduction FIGURE 2.7 Measured thermal conductivity of yttriastabilized zirconia as a function of temperature and mean grain size [3]. 2.5 = 98 nm 2 Thermal conductivity (W/m•K) 64 = 55 nm = 32 nm 1.5 = 23 nm 1 = 10 nm 0.5 mfp 0 0 100 ( = 300 K) = 25 nm 200 300 Temperature (K) The Fluid State 400 500 2.2 65 The Thermal Properties of Matter 0.3 Hydrogen = 2.018 Thermal conductivity (W/m•K) Helium 4.003 0.2 Water (steam, 1 atm) 18.02 0.1 Carbon dioxide 44.01 Air 28.97 0 0 Freon 12 120.9 200 400 600 Temperature (K) 800 1000 FIGURE 2.8 The temperature dependence of the thermal conductivity of selected gases at normal pressures. Molecular weights ( ) of the gases are also shown. The Fluid State: Micro- and Nanoscale Effects Chapter 2 Introduction to Conduction 0.8 Water 0.6 Thermal conductivity (W/m•K) 66 Ammonia 0.4 Glycerine 0.2 Freon 12 0 200 300 400 Temperature (K) Engine oil 500 FIGURE 2.9 The temperature dependence of the thermal conductivity of selected nonmetallic liquids under saturated conditions. Insulation Systems 2.2 67 The Thermal Properties of Matter Effective thermal conductivity (W/m•K) 0.014 0.012 0.01 0.008 0.006 0.004 0.002 0 10 3 10 2 10 1 100 Pressure (atm) FIGURE 2.10 Measured thermal conductivity of carbon-doped silica aerogel as a function of pressure at T 300 K [10]. 2.2.2 Other Relevant Properties v 68 Chapter 2 Introduction to Conduction EXAMPLE 2.1 SOLUTION Known: Find: Properties: 2.2 The Thermal Properties of Matter Comments: 5 69