Hydromagnetic unsteady slip stagnation flow of nanofluid with suspension of mixed bio-convection

R. Kumar ^a, S. Sood ^a, C.S.K. Raju ^b, S.A. Shehzad ^c,*
         
         a. Department of Mathematics, Central University of Himachal Pardesh, Dharamshala 176215, India
         b. Department of Mathematics, GITAM University, Bangalore 562163, Karnataka, India
         c. Department of Mathematics, COMSATS Institute of Information Technology, Sahiwal 57000, Pakistan

Abstract: In this paper, stagnation point region (suspended with nanofluid and microorganisms) is examined subjected to velocity and thermal slips. The flow is assumed to be flowing across an exponentially stretching flat surface under magnetic field environment. Governing transport equations (framed under Buongiorno’s model) are converted into self-similar form through suitable unsteady exponential similarity transformations which are then solved by employing implicit finite difference scheme (IFDS) known as Keller-box method (KBM). A parametric analysis is performed along with limited details of KBM. Influence of pertinent constraints on local skin friction, local Nusselt number, local Sherwood number and local density number of micro-organisms are also uncovered through graphs. A significant decrease in skin-friction coefficients has been detected with respect to thermal slip in comparison to velocity slip.  

Keywords: Unsteady flow; Stagnation point region; Mixed convection; Microorganisms; Nanoparticles; Slip regime; Keller-box scheme