Magnetite/engine oil Casson nanofluid flow over a Riga plate with Atangana–Baleanu fractional derivative

Abstract

The Riga plate is useful to enhance the conductivity of working fluids in many critical technical applications like MHD generators, nuclear reactor design, flow meters, and thermal nuclear reactors. The present work is carried out to analyze the heat transfer of ferrofluid with Engine oil as base fluid, flowing parallel to a vertical Riga plate. Atangana–Baleanu fractional derivative is used to model the unsteady distributions of velocity, temperature, and concentration fields, and exact solutions are acquired by applying the Laplace transformation technique and are exhibited with the help of special functions such as the Lorenzo–Hartley’s G function and the Mittag-Leffler function. The influence of all physical and rheological characteristics on flow distribution is illustrated graphically. From the study, it is revealed that the effect of modified Hartmann number plays a significant role in the velocity field and also that heat transfer is increased with increasing volume fraction of the nanoparticles. The effect of significant parameters on Sherwood number, Nusselt number, and skin friction is scrutinized in the tables.