Spectral Quasi-linearisation Method for Nonlinear Thermal Convection Flow of a Micropolar Fluid under Convective Boundary Condition

[摘要] The significance of nonlinear temperaturedependent density relation and convective boundary condition on natural convection flow of an incompressible micropolar fluid with homogeneous-heterogeneous reactions is analyzed. In spite of the complicated nonlinear structure of the present setup and to allow all the essential features, the representation of similarity transformations for the system of non-dimensional fluid flow equations is attained through Lie group transformations and hence the governing similarity equations are worked out by a numerical approach known as spectral quasi-linearization method. It is noticed that in the presence of the nonlinear convection parameter enhance the velocity, species concentration, heat transfer rate, skin friction, but decreases the temperature and wall couple stress.

[关键词] Micropolar fluid;Non-linear convection;Convective boundary condition;Homogeneousheterogeneous reaction;Spectral quasi-linearization method