Thermal spreading and contact resistance : fundamentals and applications /: fundamentals and applications. (2023)

• Record Type: Book
• Further Information: Note: Yuri Muzychka, M. Michael Yovanovich.
• Authors: Muzychka, Yuri; Yovanovich, M. Michael (Milan Michael)
• Contents: About the Authors xv Preface xvi Acknowledgments xix Nomenclature xx 1 Fundamental Principles of Thermal Spreading Resistance 1 1.1 Applications 2 1.2 Semi-Infinite Regions, Flux Tubes, Flux Channels, and Finite Spreaders 4 1.3 Governing Equations and Boundary Conditions 6 1.3.1 Source Plane Conditions 6 1.3.2 Sink Plane Conditions 7 1.3.3 Interface Conditions 8 1.4 Thermal Spreading Resistance 8 1.4.1 Half-Space Regions 8 1.4.2 Semi-Infinite Flux Tubes and Channels 10 1.4.3 Finite Disks and Channels 11 1.5 Solution Methods 11 1.6 Summary 12 References 12 2 Thermal Spreading in Isotropic Half-Space Regions 15 2.1 CircularAreaonaHalf-Space 15 2.1.1 Isothermal Circular Source 16 2.1.2 Isoflux Circular Source 17 2.1.3 Parabolic Flux Circular Source 19 2.1.4 Summary of Circular Source Thermal Spreading Resistance 20 2.2 Elliptical Area on a Half-Space 20 2.2.1 Isothermal Elliptical Source 20 2.2.2 Isoflux Elliptical Source 22 2.2.3 Parabolic Flux Elliptical Source 23 2.3 Method of Superposition of Point Sources 25 2.3.1 Application to a Circular Source 26 2.3.2 Application to Triangular Source Areas 28 2.4 Rectangular Area on a Half-Space 29 2.4.1 Isothermal Rectangular Area 29 2.4.2 Isoflux Rectangular Source 30 2.5 Spreading Resistance of Symmetric Singly Connected Areas: The Hyperellipse 33 2.6 Regular Polygonal Isoflux Sources 34 2.7 Additional Results for Other Source Shapes 36 2.7.1 Triangular Source 36 2.7.2 Rhombic Source 36 2.7.3 Rectangular Source with Rounded Ends 37 2.7.4 Rectangular Source with Semicircular Ends 37 2.8 Model for an Arbitrary Singly Connected Heat Source on a Half-Space 38 2.9 Circular Annular Area on a Half-Space 40 2.9.1 Isothermal Circular Annular Ring Source 40 2.9.2 Isoflux Circular Annular Ring Source 40 2.10 Other Doubly Connected Areas on a Half-Space 41 2.11 Problems with Source Plane Conductance 42 2.11.1 Isoflux Heat Source on a Convectively Cooled Half-Space 42 2.11.2 Effect of Source Contact Conductance on Spreading Resistance 44 2.12 Circular Area on Single Layer (Coating) on Half-Space 45 2.12.1 Equivalent Isothermal Circular Contact 45 2.12.2 Isoflux Circular Contact 47 2.12.3 Isoflux, Equivalent Isothermal, and Isothermal Solutions 47 2.12.3.1 Isoflux Contact Area 47 2.12.3.2 Equivalent Isothermal Contact Area 48 2.12.3.3 Isothermal Contact Area 48 2.13 Thermal Spreading Resistance Zone: Elliptical Heat Source 48 2.14 Temperature Rise of Multiple Isoflux Sources 52 2.14.1 Two Coplanar Isoflux Circular Sources 52 2.15 Temperature Rise in an Arbitrary Area 56 2.15.1 Temperature Rise at Arbitrary Point 56 2.15.2 Average Temperature Rise 57 2.16 Superposition of Isoflux Circular Heat Sources 58 2.16.1 Nine Coplanar Circles on Square Cluster 61 2.16.2 Five Coplanar Circles on Square Cluster 62 2.16.3 Four Coplanar Circles on Triangular Cluster 63 2.17 Superposition of Micro- and Macro-Spreading Resistances 64 References 68 3 Circular Flux Tubes and Disks 71 3.1 Semi-Infinite Flux Tube 71 3.1.1 Isothermal Source on a Flux Tube 76 3.2 Finite Disk with Sink Plane Conductance 77 3.2.1 Distributed Heat Flux over Source Area 81 3.3 Compound Disk 82 3.3.1 Special Limits in the Compound Disk Solution 85 3.4 Multilayered Disks 85 3.5 Flux Tube with Circular Annular Heat Source 88 3.6 Flux Tubes and Disks with Edge Conductance 90 3.7 Spreading Resistance for an Eccentric Source on a Flux Tube 93 3.8 Thermal Spreading with Variable Conductivity Near the Contact Surface 94 3.9 Effect of Surface Curvature on Thermal Spreading Resistance in a Flux Tube 97 References 99 4 Rectangular Flux Channels 103 4.1 Two-Dimensional Semi-Infinite Flux Channel 104 4.1.1 Variable Heat Flux Distributions 106 4.2 Three-Dimensional Semi-Infinite Flux Channel 108 4.2.1 Correlation Equations for Various Combinations of Source Areas and Boundary Conditions 110 4.3 Finite Two- and Three-Dimensional Flux Channels 111 4.4 Compound Two- and Three-Dimensional Flux Channels 115 4.4.1 Special Limiting Cases for Rectangular Flux Channels 118 4.5 Finite Two- and Three-Dimensional Flux Channels with Eccentric Heat Sources 120 4.6 Rectangular Flux Channels with Edge Conductance 124 4.7 Multilayered Rectangular Flux Channels 126 4.8 Rectangular Flux Channel with an Elliptic Heat Source 128 4.9 Spreading in a Curved Flux Channel (Annular Sector) 130 4.10 Effect of Surface Curvature on Thermal Spreading Resistance in a Two-Dimensional Flux Channel 134 References 135 5 Orthotropic Media 137 5.1 Heat Conduction in Orthotropic Media 137 5.2 Circular Source on a Half-Space 141 5.3 Single-Layer Flux Tubes 143 5.3.1 Circular Flux Tubes with Edge Cooling 144 5.4 Single-Layer Rectangular Flux Channel 144 5.4.1 Rectangular Flux Channels with Edge Cooling 146 5.5 Multilayered Orthotropic Spreaders 147 5.5.1 Circular Flux Tubes 148 5.5.2 Multilayered Orthotropic Flux Channels 151 5.5.3 Multilayered Orthotropic Flux Channels with an Eccentric Source 153 5.6 General Multilayered Rectangular Orthotropic Spreaders 153 5.6.1 Coordinate Transformations for Fully Orthotropic Media 155 5.6.2 General Solution for K X ≠ K Y ≠ K Z 156 5.6.3 Total Thermal Resistance 159 5.7 Measurement of Orthotropic Thermal Conductivity 160 References 163 6 Multisource Analysis for Microelectronic Devices 167 6.1 Multiple Heat Sources on Finite Isotropic Spreaders 168 6.1.1 Single Source Surface Temperature Distribution 169 6.1.2 Multisource Surface Temperature Distribution 170 6.2 Influence Coefficient Method 172 6.2.1 Thermal Resistance 174 6.2.2 Source Plane Convection 174 6.3 Extension to Compound, Orthotropic, and Multilayer Spreaders 175 6.3.1 Compound Media 175 6.3.2 Orthotropic Spreaders 177 6.3.3 Multilayer Isotropic/Orthotropic Spreaders 178 6.4 Non-Fourier Conduction Effects in Microscale Devices 181 6.5 Application to Irregular-Shaped Heat Sources 185 References 187 7 Transient Thermal Spreading Resistance 189 7.1 Transient Spreading Resistance of an Isoflux Source on an Isotropic Half-Space 189 7.1.1 Transient Spreading Resistance of an Isoflux Circular Area 190 7.1.2 Transient Spreading Resistance of an Isoflux Strip on a Half-Space 193 7.1.3 Transient Spreading Resistance of an Isoflux Hyperellipse 194 7.1.4 Transient Spreading Resistance of Isoflux Regular Polygons 194 7.1.5 Universal Time Function 195 7.2 Transient Spreading Resistance of an Isothermal Source on a Half-Space 195 7.3 Models for Transient Thermal Spreading in a Half-Space 199 7.4 Transient Spreading Resistance Between Two Half-Spaces in Contact Through a Circular Area 201 7.5 Transient Spreading in a Two-Dimensional Flux Channel 202 7.6 Transient Spreading in a Circular Flux Tube from an Isoflux Source 203 7.7 Transient Spreading in a Circular Flux Tube from an Isothermal Source 205 7.8 Models for Transient Thermal Spreading in Circular Flux Tubes 207 References 211 8 Applications with Nonuniform Conductance in the Sink Plane 213 8.1 Applications with Nonuniform Conductance 213 8.1.1 Distributed Heat Transfer Coefficient Models 214 8.1.2 Mixed-Boundary Conditions in the Source Plane 216</p&gt
• Edition: 1st
• Publisher Details: Hoboken : John Wiley & Sons, Inc
• Publication Date: 2023
• Extent: 1 online resource (464 pages)
• Subjects: 536.2; Heat -- Transmission; Heat -- Conduction
• Languages: English
• ISBNs: 9781394187546
• Notes: Note: Description based on CIP data; resource not viewed.
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
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