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Title: Effect of combined particle-phase diffusivity and viscosity on the compressible boundary layer of a particulate suspension over a flat plate

Abstract

Boundary layer flow and heat transfer of pure and contaminated fluids have been an attractive research area for many investigators for many years due to its direct application in the aerospace, automotive, petroleum, geothermal, and many other industries. Here, a mathematical dilute fluid-particle suspension model governing steady, laminar, compressible, boundary layer flow and heat transfer over a semi-infinite flat plate based on the Eulerian or continuum approach is developed. The model accounts for both particulate viscous and diffusive effects. Both the fluid and the particle phases are assumed to have general power-law viscosity-temperature relations. For the case of finite particle-phase viscosity, a general boundary condition borrowed from rarefied gas dynamics is used for the particle phase at the surface. Uniform and nonuniform particle-phase slip coefficients are investigated. Numerical solution of the governing equations is obtained by an implicit, iterative, tridiagonal finite difference method. Graphical results for the displacement thicknesses and skin-friction coefficients of both phases as well as the wall heat transfer are presented for various parametric conditions.

Authors:
 [1]
  1. Kuwait Univ., Safat (Kuwait). Dept. of Mechanical and Industrial Engineering
Publication Date:
Sponsoring Org.:
USDOE
OSTI Identifier:
361757
Resource Type:
Journal Article
Journal Name:
Journal of Heat Transfer
Additional Journal Information:
Journal Volume: 121; Journal Issue: 2; Other Information: PBD: May 1999
Country of Publication:
United States
Language:
English
Subject:
42 ENGINEERING NOT INCLUDED IN OTHER CATEGORIES; BOUNDARY LAYERS; HEAT TRANSFER; COMPRESSIBLE FLOW; TWO-PHASE FLOW; SUSPENSIONS; FLOW MODELS; LAMINAR FLOW; BOUNDARY CONDITIONS; FINITE DIFFERENCE METHOD; PARAMETRIC ANALYSIS

Citation Formats

Chamkha, A J. Effect of combined particle-phase diffusivity and viscosity on the compressible boundary layer of a particulate suspension over a flat plate. United States: N. p., 1999. Web. doi:10.1115/1.2825995.
Chamkha, A J. Effect of combined particle-phase diffusivity and viscosity on the compressible boundary layer of a particulate suspension over a flat plate. United States. https://doi.org/10.1115/1.2825995
Chamkha, A J. 1999. "Effect of combined particle-phase diffusivity and viscosity on the compressible boundary layer of a particulate suspension over a flat plate". United States. https://doi.org/10.1115/1.2825995.
@article{osti_361757,
title = {Effect of combined particle-phase diffusivity and viscosity on the compressible boundary layer of a particulate suspension over a flat plate},
author = {Chamkha, A J},
abstractNote = {Boundary layer flow and heat transfer of pure and contaminated fluids have been an attractive research area for many investigators for many years due to its direct application in the aerospace, automotive, petroleum, geothermal, and many other industries. Here, a mathematical dilute fluid-particle suspension model governing steady, laminar, compressible, boundary layer flow and heat transfer over a semi-infinite flat plate based on the Eulerian or continuum approach is developed. The model accounts for both particulate viscous and diffusive effects. Both the fluid and the particle phases are assumed to have general power-law viscosity-temperature relations. For the case of finite particle-phase viscosity, a general boundary condition borrowed from rarefied gas dynamics is used for the particle phase at the surface. Uniform and nonuniform particle-phase slip coefficients are investigated. Numerical solution of the governing equations is obtained by an implicit, iterative, tridiagonal finite difference method. Graphical results for the displacement thicknesses and skin-friction coefficients of both phases as well as the wall heat transfer are presented for various parametric conditions.},
doi = {10.1115/1.2825995},
url = {https://www.osti.gov/biblio/361757}, journal = {Journal of Heat Transfer},
number = 2,
volume = 121,
place = {United States},
year = {Sat May 01 00:00:00 EDT 1999},
month = {Sat May 01 00:00:00 EDT 1999}
}