Numerical study of non-Darcy hybrid nanofluid flow with the effect of heat source and hall current over a slender extending sheet

Zehba Raizah; Hussam Alrabaiah; Muhammad Bilal; Prem Junsawang; Ahmed M Galal

doi:10.1038/s41598-022-20583-z

Numerical study of non-Darcy hybrid nanofluid flow with the effect of heat source and hall current over a slender extending sheet

Sci Rep. 2022 Sep 29;12(1):16280. doi: 10.1038/s41598-022-20583-z.

Authors

Zehba Raizah¹, Hussam Alrabaiah^{2

3}, Muhammad Bilal⁴, Prem Junsawang⁵, Ahmed M Galal^{6

7}

Affiliations

¹ Department of Mathematics, College of Science, King Khalid University, Abha, Saudi Arabia.
² College of Engineering, Al Ain University, Al Ain, United Arab Emirates.
³ Mathematics Department, Tafila Technical University, Tafila, Jordan.
⁴ Department of Mathematics, City University of Science and IT, Peshawar, 25000, Pakistan.
⁵ Department of Statistics, Faculty of Science, Khon Kaen University, Khon Kaen, 40002, Thailand. prem@kku.ac.th.
⁶ Department of Mechanical Engineering, College of Engineering in Wadi Alddawasir, Prince Sattam Bin Abdulaziz University, Wadi Alddawasir, Saudi Arabia.
⁷ Production Engineering and Mechanical Design Department, Faculty of Engineering, Mansoura University, Mansoura, 35516, Egypt.

Abstract

The current evaluation described the flow features of Darcy Forchhemier hybrid nanoliquid across a slender permeable stretching surface. The consequences of magnetic fields, second order exothermic reaction, Hall current and heat absorption and generation are all accounted to the fluid flow. In the working fluid, silicon dioxide (SiO₂) and titanium dioxide (TiO₂) nano particulates are dispersed to prepare the hybrid nanoliquid. TiO₂ and SiO₂ NPs are used for around 100 years in a vast number of diverse products. The modeled has been designed as a nonlinear set of PDEs, Which are degraded to the dimensionless system of ODEs by using the similarity transformation. The reduced set of nonlinear ODEs has been numerically estimated through bvp4c package. The outcomes are tested for validity and consistency purpose with the published report and the ND solve technique. It has been noted that the energy curve lessens with the influence of thermodiffusion, Brownian motion and rising number of nanoparticles, while boosts with the result of magnetic field. Furthermore, the concentration outline of hybrid nanoliquid improves with the upshot of chemical reaction.