An analysis of a mathematical fractional model of hybrid viscous nanofluids and its application in heat and mass transfer

Abstract

The present investigation deals with the application of novel way of modeling of heat and mass transfer flow of hybrid nanofluid (Aluminum and Copper) for different base fluid water and engine oil. The governing equations for energy and momentum equations are developed with Caputo fractional power law derivative through constitutive relations. The flow of nanofluids confined between the two parallel plates with distance d apart. This model can be solved by means of the Laplace transform technique. Statically analysis for Nusselt number and Sherwood number is also discussed. To see the impact of fractional parameters alpha, beta and gamma on the temperature, concentration and fluid velocity, we have plotted some graphs through MathCad software and presented in the graphical section. As a result, for small value of time, we found that temperature, concentration and velocity are minimum near the plate and for large time they are maximum away from the plate for different fractional parameters alpha, beta and gamma. That is, solutions show dual behavior and can be controlled by variation values of fractional parameters alpha, beta and gamma and decay for larger values of alpha and beta, respectively. Further, we concluded that water base hybrid nanofluids have higher temperature and velocity than engine oil based hybrid nanofluids. Also, we compared the present results with the recently published results and in limiting case they are in good agreement. (C) 2020 Elsevier B.V. All rights reserved.