A Study of Flow and Heat Transfer of a Nanofluid Over a Vertical Cone With Heat Generation Using Legendre-Galerkin Method

Abstract

An efficient Legendre-Galerkin method was applied to describe the nanofluid flow along an upward cone and how the heat transfers under the impacts of heat generation and thermal radiation. A strong uniform transverse magnetic field subjects to the flow and perpendicular to the cone surface. Suitable transformations with appropriate variables are presented to put the administering equations and the boundary conditions in a helpful structure for calculation. The arising sets of nonlinear system are settled using a Galerkin method with the Legendre function as a base. The study on the impacts of magnetic, Eckert number, heat source, and Hall parameters on fluid temperature, velocity profiles, local skin-friction coefficient, and Nusselt number are analyzed and introduced in tables and graphs forms. The volume fraction parameter of nanoparticles and their type assumed a significant part to fundamentally decide the stream behavior. Upon validation of the proposed study with special cases from other previous studies in the literature, an excellent agreement is obtained.