Non-linear radiation effect on dusty fluid flow near a rotating blunt-nosed body

Abstract

A two-phase, dusty boundary-layer flow over an isothermally heated rotating hemisphere is studied for the laminar, incompressible fluid. The contribution of non-linear thermal radiation is analyzed by using the Rosseland diffusion approximation model. The difficulty of having a unified mathematical treatment of the above problem is due to the complex nature of the governing partial differential equations, which arises from the transverse curvature of the round-nosed body, buoyant force, and thermal radiation. Therefore, this study presents a theoretical analysis of a dusty flow and heat transfer over a rotating axisymmetric round-nosed body (for example, hemisphere). In industries, for instance, vehicle industry, blunt-nosed shapes (or round-nosed body) are preferred because it provides better thermal management. The governing equations, along with their appropriate boundary conditions, are numerically solved using the iterative, implicit finite difference method. Numerical solutions are illustrated in the form of streamwise velocity distribution, spanwise velocity distribution, temperature distribution, and skin friction and heat transfer coefficients. The numerical scheme is validated through comparison with the benchmark solutions available in the literature. Solutions obtained here are discussed for i) pure and dusty air and ii) pure and dusty water. A wide range of thermal radiation parameter is tested for the above two cases, and it is found that skin friction coefficient achieves asymptotic behavior for [Formula: see text]; however, heat transfer coefficient increases considerably as much as we strengthen the parameter Rd. Further, momentum and thermal boundary layer thicknesses also increase for [Formula: see text]. Computations are also performed for the buoyancy parameter, λ, ranging from 0 to [Formula: see text], which respectively covers the solution of pure forced convection ( λ = 0) and pure natural convection ([Formula: see text]) boundary layer on a rotating hemisphere.