Time-dependent squeezing bio-thermal MHD convection flow of a micropolar nanofluid between two parallel disks with multiple slip effects

Abstract

We performed numerical analysis on fluid model for incompressible, time dependent electrically conducting squeezing flow of micropolar fluid. The non-Newtonian fluid is confined across two disks in which lower disk is fixed while upper disk moves upward and downward. A uniform suction is made at the lower fixed disk. The Buorngiorno nanofluid theory is implemented to discuss the thermal performance by thermopherosis and Brownian motion phenomenon. Microorganism theory is applied to sustain the suspended nanoparticles by bioconvection induced through combined influence of magnetic field and buoyancy forces. The nonlinear system is reduced to a set of ordinary differential equation by similarity variables. The dimensionless quantities are discussed in pictorial way on velocity, temperature, concentration and microorganism fields. It is perceived that micropolar and magnetic parameters have opposite trend on micro-rotation field. Brownian motion and Thermopheresis parameters have similar kind of influence on temperature profiles and the thermal fields is reduced by suction parameter. Radial velocity curves declined by the squeezing Reynolds number. Numerically values of the physical parameters are also calculated and described through tabular format. It is calculated that slip parameters are reduced the Nusselt and Sherwood numbers values at the both disks respectively. At the center of the plane between two disks, the radial velocity curves are declined, whereas such profiles are enhanced at the lower and upper disks against the magnetic parameter. The increased suction parameter reduces the radial field of f′η. Moreover the radial profiles are of parabolic nature.Microrotation and magnetic parameters tend to rotate the microrotation field in opposite way. In the left region of the central plane, the profiles are enhanced, while in the right half plane the micorotation profiles are reduced. Furthermore, the microrotation curves are intersecting at η = 0.5, where the profiles turn into opposite way.