Numerical approach of micropolar dust-particles natural convection fluid flow due to a permeable cone with nonlinear temperature
Hossam A. Nabwey, A. Mahdy
Abstract
This contribution devotedly analyzes the behaviour of momentum and heat transfer of dust particles micropolar fluid flow due to a vertical permeable cone with suction and variable wall temperature. Homogeneously suspended dust nano-particles is suggested. Non-similar solutions for governing equations are noticed to be exist when the surface temperature varies as a power law with the length measured from the leading edge. Via suitable coordinate transformation the flow governing equations transformed into non-similar boundary layer flow equations. The subsequent nonlinearly system of micropolar liquid and the dust particle phases are solved numerically via an efficient, tridiagonal, iterative, implicit finite difference technique using FORTRAN software. Aspects of distinct emerging variables on the computations (carrier and dust-particle phases of velocity and temperature) are illustrated through tables and drawn graphical, also Nusselt number and shear and couple stresses factor are given as functions of suction variables. Results point out that an increment in the suction variable or the relative density parameter tends to enhance the local Nusselt number. The present computations are validated by favorable comparisons with earlier published data.