Fractional simulation for Darcy-Forchheimer hybrid nanoliquid flow with partial slip over a spinning disk

The present effort elaborates the fractional analyses for Darcy-Forchheimer hybrid nanoliquid flow over a porous spinning disk. Temperature and concentration slip conditions are utilized at the surface of the spinning disk. A specific type of nanoparticles known as Silver-Ag and Magnesium-oxide MgO is added to the base fluid, to synthesis the hybrid nanoliquid. By using Karman's approach, the system of partial differential equations is depleted into a dimensionless system of differential equations. The obtained equations are further diminished to the first-order differential equation via selecting variables. To develop the fractional solution, the proposed model has been set up by Matlab fractional code Fde12. For accuracy and validity of the resulting framework, the outputs are compared with the fast-approaching numerical Matlab scheme boundary value solver (bvp4c). The impact of several flow constraints versus velocity, mass and thermal energy profiles have been portrayed and discussed. Magnesium oxide MgO compound is consists of Mg2+ and O2- ions, together bonded by a strong ionic bond, which can be synthesized by pyrolysis of magnesium hydroxide Mg (OH) (2) and MgCO3 (magnesium carbonate) at a very high temperature (700-1500 degrees C). It is more convenient for refractory and electrical applications. Similarly, the antibacterial upshots of silver Ag nano-size particles could be used to manage bacterial growth in several applications, such as dental work, burns and wound treatment, surgery applications and biomedical apparatus. (C) 2021 THE AUTHORS. Published by Elsevier BV on behalf of Faculty of Engineering, Alexandria University.

Automated summary

The study investigated the fractional analyses of Darcy-Forchheimer hybrid nanoliquid flow over a porous spinning disk, using Silver-Ag and Magnesium-oxide MgO nanoparticles added to the base fluid and temperature and concentration slip conditions. The system of partial differential equations was simplified into a dimensionless system of differential equations and further reduced to a first-order differential equation, with the proposed model set up using Matlab fractional code Fde12. The accuracy and validity of the model were verified by comparing outputs with a numerical Matlab scheme, and the impact of various flow constraints on velocity, mass, and thermal energy profiles was discussed.