Abstract
A continuum mathematical model governing compressible boundary-layer fluid-particle flow and heat transfer over a semi-infinite flat plate is developed. This model is based on separate balance laws of mass, linear momentum, and energy for both phases and allows for finite particle-phase volume fraction and viscous stresses. It is found that the volume fraction of suspended particles and, therefore, the particle-phase density is uniform in the boundary layer. Using this fact, the governing nonlinear partial differential equations are simplified and solved numerically by an iterative finite-difference method. Graphical results for flow and heat transfer properties are presented for various values of the particle-fluid viscosity ratio and the power index parameter for the viscosity-temperature relation.
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