A MOTION OF JEFFREY NANOFLUID IN POROUS MEDIUM WITH MOTILE MICROORGANISMS BETWEEN TWO REVOLVING STRETCHING DISCS: EFFECTS OF HALL CURRENTS
Galal M. Moatimid, Mona A. A. Mohamed, Khaled Elagamy
Abstract
The current work investigates a stream of motile microorganisms through a Magnetohydrodynamics (MHD) flow of an incompressible nanofluid following the non-Newtonian Jeffrey prototype. The flow occupies the space between two rotating stretching discs. This structure is stressed by a constant magnetic field normal to the discs with considering the Hall current. The heat energy is stressed by Ohmic dissipation and thermal radiation. The constitutive equations of the Jeffrey nanofluid model have been explained in view of the cylindrical coordinates. The fundamental partial differential equations of motion, energy, nanoparticle volume fraction and microorganism meditation are transformed into a set of nonlinear regular differential equations via suitable similarity transformations. These equations are analytically solved by using the Homotopy perturbation method (HPM). The influences of considerable factors on the flow distributions are clarified and discussed throughout a set of figures. A comparative analysis is conducted to guarantee the validity of the existing literature, where reasonable conclusions are reached.