Mixed Convection Flow of Brinkman Type Hybrid Nanofluid Based on Atangana-Baleanu Fractional Model

The industrial and engineering consumption of nanofluids is increased day by day due to successful implementation. The improved thermophysical properties play a vital role in the efficiency of nanofluids in convections processes. But this technology is not stopped here and reached to the next level by introducing hybrid nanofluids. Hence, this article is dedicated to focus on the mixed convection flow hybrid nanofluid. The hybridized nanoparticles of copper and alumina are dissolved in water as a base fluid to form a suspension. The Atangana-Baleanu fractional model is considered for flow demonstration over a vertical plate. The fractional PDE’s of the model is subjected to physical initial and boundary conditions. It is assumed that the electrically conducting laminar incompressible flow is under the influence of a magnetic field of variable direction. The Laplace transform technique is implemented to develop exact solutions for the problem under consideration. To explore the behavior of flow parameters, the obtained solutions are numerically computed and displayed in various figures with a physical explanation. It is found that the velocity and temperature profiles behave alike for fractional parameter α . Both the profiles decrease with increasing values of α . However, the trend of these profiles is opposite for volume concentration Φ hnf of hybrid nanofluid. The velocity profile decreases with increasing values of Φ hnf whereas, the temperature profile increases with increasing values of Φ hnf .