Computational Analysis for Bioconvection of Microorganisms in Prandtl Nanofluid Darcy–Forchheimer Flow across an Inclined Sheet

Nanomaterials

Jianfeng Wang¹  Bagh Ali²  Muhammad Ajmal³  Saif Ur Rehman³  Imran Siddique³  Zead Mustafa⁴  Mohammed M. M. Jaradat⁴  Hafiz Muhammad Ali⁵ 

[1] College of Mechanical Engineering, Xijing University, Xi’an 710123, China;Department of Applied Mathematics, Northwestern Polytechnical University, Xi’an 710129, China;Department of Mathematics, University of Management and Technology, Lahore 54770, Pakistan;Mathematics Program, Department of Mathematics, Statstics and Physics, College of Arts and Sciences, Qatar University, Doha P.O. Box 2713, Qatar;Mechanical Engineering Department, King Fahd University of Petroleum & Minerals, Dhahran 31261, Saudi Arabia;

关键词: Prandtl nanofluid;    bioconvection;    magnetohydrodynamic;    stratification;    inclined sheet;   

DOI  :  10.3390/nano12111791

来源: DOAJ

【 摘 要 】

The two-dimensional boundary layer flow of a Prandtl nanofluid was explored in the presence of an aligned magnetic field over an inclined stretching/shrinking sheet in a non-Darcy permeable medium. To transform the PDEs of the leading equations into ODEs, a coupled boundary value problem was formed and suitable similarity functions were used. To obtain numerical answers, an efficient code for the Runge–Kutta technique with a shooting tool was constructed with a MATLAB script. This procedure is widely used for the solution of such problems as it is efficient and cost-effective with a fifth-order accuracy. The significance of immersed parameters on the velocity, temperature, concentration, and bioconvection is shown through figures. Furthermore, the physical parameters of the skin friction coefficient and the Nusselt numbers are demonstrated in tables. The declining behavior of the flow velocity against the porosity parameter $K_p$ and the local inertia co-efficient $Fr$ is shown, and the both parameters of the Darcy resistance and Darcy–Forchheimer resistance are responsible for slowing the fluid speed. The increasing values of the Schmidt number $Sc$ decrease the concentration of the nano entities.

【 授权许可】

Unknown