Analysis of the heat transfer coefficient in a turbulent particle pipe flow

Abstract A Eulerian-Lagrangian mathematical model is used to predict the average heat transfer coefficient at the inner wall of a vertical pipe. Air flows within the pipe in a turbulent regime loaded with spherical glass particles of uniform size 70, 140 and 200 μm in diameter. The suspension flow is predicted by solving numerically the mass, momentum and energy equations for the continuous phase and the motion and energy equations for individual particles. The turbulence of the air flow is calculated by using a standard K-e model and the dispersion of the particles is predicted by the Lagrangian stochastic deterministic model. The average heat transfer coefficient of the suspension is calculated for different Reynolds numbers, particle loading ratios and particle diameters. The results are compared with experimental data published in the literature.

[1]  C. A. Depew,et al.  Heat Transfer Effects to Gas-Solids Mixtures Using Solid Spherical Particles of Uniform Size , 1963 .

[2]  Brian Launder.  Heat and mass transport , 1975 .

[3]  H. Sung,et al.  Analysis of heat transfer in a pipe carrying two-phase gas-particle suspension , 1991 .

[4]  M. Morley,et al.  Heat Transfer to Flowing Gas-Solids Mixtures in a Circular Tube , 1957 .

[5]  Frank P. Incropera,et al.  Fundamentals of Heat and Mass Transfer , 1981 .

[6]  S. Lieblein,et al.  Analysis and correlation of heat-transfer coefficient and friction factor data for dilute gas-solid suspensions , 1966 .

[7]  E. Michaelides.  Heat transfer in particulate flows , 1986 .

[8]  S. Patankar.  Numerical Heat Transfer and Fluid Flow , 2018, Lecture Notes in Mechanical Engineering.

[9]  Gerard M. Faeth,et al.  Structure of particle-laden jets - Measurements and predictions , 1984 .

[10]  R. Boothroyd,et al.  Fully Developed Heat Transfer to a Gaseous Suspension of Particles Flowing Turbulently in Ducts of Different Size , 1970 .

[11]  C. Tien.  Heat Transfer by a Turbulently Flowing Fluid-Solids Mixture in a Pipe , 1961 .

[12]  Yoshinobu Morikawa,et al.  LDV measurements of an air-solid two-phase flow in a vertical pipe , 1984, Journal of Fluid Mechanics.

[13]  W. H. Ayers,et al.  Simulation of dispersion of heavy particles in confined turbulent flows , 1984 .

[14]  D. Spalding,et al.  Heat and Mass Transfer in Boundary Layers. 2nd edition. By S. V. PATANKAR and D. B. SPALDING. Intertext Books, 1970. 255 pp. £6. , 1971, Journal of Fluid Mechanics.

[15]  R. S. Kane,et al.  Heat Transfer in Gas-Solids Drag-Reducing Flow , 1985 .

[16]  G. Wallis.  One Dimensional Two-Phase Flow , 1969 .

[17]  C. A. Depew,et al.  Analysis of Mean Flow Characteristics of Gas-Solids Suspensions , 1972 .

[18]  C. Crowe,et al.  The Particle-Source-In Cell (PSI-CELL) Model for Gas-Droplet Flows , 1977 .

[19]  R. Clift,et al.  Bubbles, Drops, and Particles , 1978 .

[20]  D. Spalding,et al.  GENMIX: A general computer program for two-dimensional parabolic phenomena , 1977 .

[21]  S. Corrsin,et al.  Estimates of the Relations between Eulerian and Lagrangian Scales in Large Reynolds Number Turbulence , 1963 .

[22]  C. A. Depew,et al.  Heat Transfer to Flowing Gas-Solid Mixtures , 1973 .

[23]  J. Riley,et al.  Equation of motion for a small rigid sphere in a nonuniform flow , 1983 .

[24]  B. Launder,et al.  The numerical computation of turbulent flows , 1990 .