Research PaperNo Access

A rheological and computational analysis on Buongiorno nanofluid model featuring magnetohydrodynamics

School of Computer Science and Technology, Shandong Technology and Business University, Yantai 264005, P. R. China

Department of Mathematics and Sciences, College of Humanities and Sciences, Prince Sultan University, Riyadh 11586, Saudi Arabia

NUTECH School of Applied Sciences and Humanities, National University of Technology, Islamabad 44000, Pakistan

E-mail Address: zasghar@psu.edu.sa

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M. Waqas

NUTECH School of Applied Sciences and Humanities, National University of Technology, Islamabad 44000, Pakistan

Department of Mechanical Engineering, Lebanese American University, Beirut, Lebanon

E-mail Address: muhammadwaqas@nutech.edu.pk

Corresponding author.

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Hala A. Hejazi

Mathematics Department, Faculty of Sciences, Umm Al-Qura University, Makkah, Saudi Arabia

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M. Zubair

School of Qilu Transportation, Shandong University, Jinan, Shandong 250002, P. R. China

E-mail Address: mzubair@math.qau.edu.pk

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, and

Dilsora Abduvalieva

Doctor of Philosophy in Pedagogical Sciences, Tashkent State Pedagogical University, Bunyodkor Avenue, 27, Tashkent 100070, Uzbekistan

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https://doi.org/10.1142/S0217979225500080Cited by:2 (Source: Crossref)

Abstract

This research captures nonlinear thermo-solutal buoyancy (i.e., nonlinear mixed convection) impact in nanofluid flow based on magnetized Casson model. The generalized porosity concept (i.e., Darcy–Forchheimer relationship) is employed by considering incompressible liquid that saturates the porous space. Effects of thermophoresis, Robin conditions, thermo-solutal stratifications and Brownian diffusion are accounted. Consideration of transpiration phenomenon captures suction/injection aspects. Fluid mechanics basic laws are depleted to simplify the governing rheological expressions. A transformation procedure is then employed to convert the nonlinear governing partial systems into differential systems. Homotopy methodology is used to obtain analytical solutions and convergence is ensured. Graphical and tabular outcomes are presented to address the importance of emerging variables.

Keywords:

PACS: 44.25.+f, 05.40.Jc, 44.05.+e

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