Mixed convective radiative heat transfer in a particle-laden boundary layer fluid over an exponentially stretching permeable surface

Flow properties and heat transfer have been analyzed within a mixed convective boundary layer particle laden flow past an exponentially stretchable permeable surface. The flow is originated due to the surface stretched exponentially. The heat is significantly influenced with the combined effect of thermal conductivity, buoyancy force and radiation by both fluid and particle phases. A two-phase radiative transfer equation (RTE), considering radiation by both fluid and particle phase is considered for formulation of the problem. The prevailing equations of the flow field are converted to a couple of ODEs by means of similarity transformation, which is solved numerically, by using the most efficient bvp4c tool of Matlab. The dimensionless flow charac- teristics, also the shear stress & rate of surface heat transfer have been computed through a parametric study such as Buoyancy parameter, Prandtl number, Eckret number and Radiation parameter. The numerical results are validated due to a good conformity with the literature available in precedent. The physical behavior of the problem is explained the best through graphical and tabular representations.