Mixed convection flow of a two-phase dusty fluid and dusty jeffrey fluid due to an exponentially stretching sheet

Abstract

Multiphase flows (either two or more phases) are signified as thef lows of different matter types.Physically,they represent the carrier phase consisting ofthe particulate phase of any random chemical component.The carrier phase is either gas, liquid,or solid.The solid particle is assumed to be in the form of ash,soot,and dust.Interest in studying fluid behaviour free from all impurities (clearfluid) has increased substantially over the past decades due to many engineering applications. It is well known that pure fluid is rarely available in numerous practical situations. In this thesis,a study had been conducted to investigate the influence of magnetic fields on mixed convection flow with heat and mass transfer by considering Newtonian and non-Newtonian fluid in the presence of dust particles.A mathematical model of two-phase flow was developed based on Saffman‘smodel.Specifically,the primary governing equation for the two-phase flow model considered the distribution of both fluids (as a carrier phase)and solid (dust)particles.The two-phase flow model was governed by modifying the single-phase model.The total fluid-particle interaction force was also considered into the momentum equation.Correspondingly,some physical assumptions for dust particles were made.The governing equations were converted to non-dimensional form and solved numerically via the Keller-box method,programmed in FORTRAN soft ware.The effects of parameters,namely Prandtl number,fluid- particle interaction for velocity,fluid-particle interaction for temperature,fluid-particle interaction for concentration,mixed convection,magnetic field,Deborah number,a ratio of relaxation to retardation times,chemical reaction and Schmidt number on velocity,temperature,and concentration profiles had been analyzed based on their graphical behaviours.Also,the expressions of Sherwood number,Nussel tnumber, and skin friction had been evaluated and displayed in tabular forms.Numerical results showed that the dust particles in both types of fluids of fermore resistance to the flow. The fluid motion was also in fluenced by the mixed convection parameter.Comparative results between the two kinds off luids demonstrated that the velocity profiles are higher than those without mass transfer.Meanwhile,the dusty Jeffrey fluid velocity is higher than the velocity of the dusty Newtonian fluid.The presence of chemical reaction in the dusty Jeffrey fluid generate more physical properties thant he dusty Newtonian fluid, which affected the fluid flow concentration.