Prabhakar fractional model for mixed convection flow of hybrid fluid in a channel with uniform walls

Abstract

Owing to improved thermal performances and stable features, the hybrid nanomaterials claim novel applications in the heat transfer enhancement, solar energy, chemical processes, cooling processes, etc. The hybrid nanomaterial is the decomposition of aluminum and copper nanoparticles subject to water base liquid. The aim of current analysis is to develop a fractional model for the natural convective flow of hybrid nanofluid confined by a channel with uniform walls. The thermal properties of hybrid nanofluid is justified by utilizing the aluminum and copper nanoparticles. The water is used as a base fluid. The flow is further influenced by mixed convection applications. For fractional model, the computations are performed by using Prabhakar model. The motivations for implementing the Prabhakar fractional model are due excellent accuracy. The integration technique is followed with help of Laplace algorithm. The inverse numerical integration of the problem with implementation of Laplace technique has been suggested by using the Zakian, Stehfest, and Tzou’s numerical algorithms. The influence of parameters is observed with physical interpretation. It has been noticed that velocity profile reduces by increasing nanoparticles volume fraction. Change in fractional parameter leads to enhancement of temperature profile.