Velocity and temperature slip effects on squeezing flow of nanofluid between parallel disks in the presence of mixed convection

Abstract

Velocity and temperature slip effects on squeezing flow of nanofluid between parallel disks in the presence of mixed convection is considered. Equations that govern the flow are transformed into a set of differential equations with the help of transformations. For the purpose of solution, homotopy analysis method is used. The BVPh2.0 package is utilized for the said purpose. Deviations in the velocity, temperature and the concentration profiles are depicted graphically. Mathematical expressions for skin friction coefficient, Nusselt and the Sherwood numbers are derived and the variations in these numbers are portrayed graphically. From the results obtained, we observed that the coefficient of skin friction increases with increase in Hartmann number M for the suction flow (A > 0), while in the blowing flow (A < 0) a fall is seen with increasing M. However, for rising values of velocity parameter β the effect of skin friction coefficient is opposite to that accounted for M. Variations in thermophoresis parameter NT and thermal slip parameter ź give rise in Nusselt number for both the suction and injection at wall. For both the suction and injection at wall, Sherwood number gets a rise with growing values of Brownian motion parameter NB, while a drop is seen in Sherwood number for increasing values of thermophoresis parameter NT. For the sake of comparison, the same problem is also solved by employing a numerical scheme called Runge---Kutta---Fehlberg (RKF) method. Results thus obtained are compared with existing ones and are found to be in agreement.