1. Randall M. German Ph.D., M.S., B.S. Chair Professor Director and
  2. Seong Jin Park Ph.D. Associate Research Professor

Published Online: 7 JAN 2008

DOI: 10.1002/9780470370087.ch3

Mathematical Relations in Particulate Materials Processing: Ceramics, Powder Metals, Cermets, Carbides, Hard Materials, and Minerals

Mathematical Relations in Particulate Materials Processing: Ceramics, Powder Metals, Cermets, Carbides, Hard Materials, and Minerals

How to Cite

German, R. M. and Park, S. J. (2008) C, in Mathematical Relations in Particulate Materials Processing: Ceramics, Powder Metals, Cermets, Carbides, Hard Materials, and Minerals, John Wiley & Sons, Inc., Hoboken, NJ, USA. doi: 10.1002/9780470370087.ch3

Author Information

  1. Center for Advanced Vehicular Systems at Mississippi State University, Mississippi State, USA

Publication History

  1. Published Online: 7 JAN 2008
  2. Published Print: 27 AUG 2008

ISBN Information

Print ISBN: 9780470173640

Online ISBN: 9780470370087



  • centrifugal particle size atomization;
  • continuum theory of sintering;
  • capillarity-induced sintering


This chapter contains sections titled:

  • Cantilever-beam Test—See Bending-beam Viscosity

  • Capillarity

  • Capillarity-induced Sintering—See Surface Curvature–Driven Mass Flow in Sintering

  • Capillary Pressure during Liquid-phase Sintering—See Mean Capillary Pressure

  • Capillary Rise—See Washburn Equation

  • Capillary Stress—See Laplace Equation

  • Case Carburization

  • Casson Model

  • Cemented-carbide Hardness

  • Centrifugal Atomization Droplet Size

  • Centrifugal Atomization Particle Size

  • Charles Equation for Milling

  • Chemically Activated Sintering—See Activated Sintering, Early-stage Shrinkage

  • Closed-pore Pressure—See Spherical-pore Pressure

  • Closed Porosity—See Open-pore Content

  • Coagulation Time

  • Coalescence—See Coagulation Time

  • Coalescence-induced Melting of Nanoscale Particles

  • Coalescence of Liquid Droplets—See Liquid-droplet Coalescence Time

  • Coalescence of Nanoscale Particles—See Nanoparticle Agglomeration

  • Coble Creep

  • Coefficient of Thermal Expansion—See Thermal Expansion Coefficient

  • Coefficient of Variation

  • Coercivity of Cemented Carbides—See Magnetic Coercivity Correlation in Cemented Carbides

  • Cold-spray Process—See Spray Deposition

  • Colloidal Packing Particle-size Distribution—See Andreasen Size Distribution

  • Combined-stage Model of Sintering

  • Comminution—See Grinding Time

  • Comminution Law—See Charles Equation for Milling

  • Compaction-induced Bond Size—See Contact Size as a Function of Density

  • Compaction-induced Neck Size

  • Compaction Pressure Effect on Green Density—See Green-density Dependence on Compaction Pressure

  • Complexity

  • Complex Viscosity

  • Composite Density

  • Composite Elastic Modulus

  • Composite Thermal Conductivity

  • Composite Thermal Expansion Coefficient

  • Compression Ratio

  • Conductive Heat Flow

  • Conductivity

  • Connectivity

  • Constitutive Equations for Sintering—See Macroscopic Sintering Mode Constitutive Equations

  • Constructive Reinforcement in X-ray Diffraction—See Bragg's Law

  • Contact Angle

  • Contact Pressure—See Effective Pressure

  • Contact Size as a Function of Density

  • Contacts Per Particle—See Coordination Number and Density

  • Container-size Effect on Random-packing Density

  • Contiguity

  • Continuum Theory of Sintering

  • Continuum Theory for Field-activated Sintering

  • Convective Heat Transfer

  • Cooling Rate in Atomization—See Newtonian Cooling Approximation, Gas Atomization Cooling Rate, and Secondary Dendrite Arm Spacing

  • Cooling Rate in Molding

  • Cooling Time in Molding

  • Coordination Number and Density

  • Coordination Number and Grain Size—See Grain-size Affect on Coordination Number

  • Coordination Number for Ordered Packings

  • Coordination Number from Connectivity

  • Coordination Number in Liquid-phase Sintering

  • Costing and Price Estimation

  • Coulomb's Law for Plastic Yielding

  • Courtney Model for Early-stage Neck Growth in Liquid-phase Sintering

  • Creep-controlled Densification

  • Critical Solids Loading—See Solids Loading

  • Cross Model

  • Curved-surface Stress—See Neck Curvature Stress

  • Cyclone Separation of Powder

  • Cylindrical Crush Strength—See Bearing Strength