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

Alexandria Engineering Journal

Bruno A. Pansera¹  Muhammad Bilal²  Yi-Xia Li³  Taseer Muhammad⁴  Ali Ahmadian⁵  Muhammad Altaf Khan⁶ 

[1] Department of Mathematics, Faculty of Science and Technology, Universitas Airlangga, Surabaya 60115, Indonesia;Mathematical Modelling and Applied Computation Research Group (MMAC), Department of Mathematics, King Abdulaziz University, P. O. Box 80203, Jeddah 21589, Saudi Arabia;College of Mathematics and Finance, Xiangnan University, Chenzhou 423000, PR China;Department of Mathematics, College of Sciences, King Khalid University, Abha 61413, Saudi Arabia;Innstitute for Ground Water Studies, Faculty of Natural and Agricultural Sciences, University of the Free State South Africa, South Africa;Mathematics Department, City University of Science and Information Technology, Peshawar 25000, Pakistan;

关键词: FDE12;    Bvp4c;    Caputo derivative;    Hybrid approach;    Slip conditions;    Spinning disk;   

DOI  :  

来源: DOAJ

【 摘 要 】

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 °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.

【 授权许可】

Unknown