Heat and mass transfer analysis in unsteady titanium dioxide nanofluid between two orthogonally moving porous coaxial disks: a numerical study

Abstract

Study of heat and mass transfer in an unsteady hydromagnetic viscous electrically conducting incompressible water-based nanofluid (containing titanium dioxide nanoparticles) between two orthogonally moving porous coaxial disks with suction and viscous dissipation effects. A combination of iterative and a direct method is employed for solving the sparse systems of linear algebraic equations arising from the finite difference discretization of the quasi-linearized self-similar ordinary differential equations. It has been noticed that the rate of mass transfer at the disks decreases with the permeability Reynolds number; either the disks are approaching or receding. Moreover, the external magnetic field remarkably reduces the fluid velocity and therefore may be used as a controlling agent for the flow.