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ISSN:2164-6457 (print)
ISSN:2164-6473 (online)
Journal of Applied Nonlinear Dynamics
Miguel A. F. Sanjuan (editor), Albert C.J. Luo (editor)
Miguel A. F. Sanjuan (editor)

Department of Physics, Universidad Rey Juan Carlos, 28933 Mostoles, Madrid, Spain

Email: miguel.sanjuan@urjc.es

Albert C.J. Luo (editor)

Department of Mechanical and Industrial Engineering, Southern Illinois University Ed-wardsville, IL 62026-1805, USA

Fax: +1 618 650 2555 Email: aluo@siue.edu

Time-Dependent Thermal Convective Circulation of Hybrid Nanoliquid Past an Oscillating Porous Plate with Heat Generation and Thermal Radiation

Journal of Applied Nonlinear Dynamics 12(1) (2023) 171--189 | DOI:10.5890/JAND.2023.03.012

M. P. Mallesh$^1$, O.D. Makinde$^{2}$, V. Rajesh$^{3}$, M. Kavitha$^{4}$

$^{1}$ Department of Mathematics, Koneru Lakshmaiah Education Foundation, Hyderabad Campus, Aziz Nagar Village, Moinabad (M), R R Dist, Telangana, India

$^{2}$ Faculty of Military Science, Stellenbosch University, Private Bag X2, Saldanha 7395, South Africa

$^{3}$ Department of Mathematics, GITAM (Deemed to be University), Hyderabad Campus, Rudraram Village, Patancheru (M), Medak, Telangana, India

$^{4}$ Department of Mathematics, Global Institute of Engineering and Technology, Chilkur Village, Moinabad(M), R R Dist, Telangana, India

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Abstract

The present study explores the impact of heat generation and thermal radiation on the time-dependent free convective flow of a hybrid nanofluid past a vertically oscillating porous plate.The nonlinear partial differential equations, which control the transport phenomena, are transmuted into dimensionless form with appropriate parameters. The resulting equations with appropriate boundary conditions are solved numerically with the aid of the Galerkin finite element method. The impact of sundry parameters such as Thermal Grashof number \textit{(Gr)}, Radiation Parameter $(N)$, Heat generation Parameter $(Q)$, Time ($t$), Nanoparticle Volume fraction of $Al_{2}O_{3}$ ($\delta _{2} $), Suction Parameter ($\lambda $), Nusselt number ($Nu$), Skin friction coefficient ($C_{f} $) that controls the flow velocity and temperature distributions are evaluated extensively with the aid of graphs and tables. Moreover, a comparison between the regular Silicon dioxide water $(SiO_{2} -H_{2} O)$ nanoliquid and Silicon dioxide/Aluminum oxide water $(SiO_{2} -Al_{2} O_{3} -H_{2} O)$ hybrid nanoliquid is provided in skin friction and heat transfer enhancement. The present numerical solution is in good agreement with the analytical solution for the special cases of the problem. The current investigation is of immense apropos in the cooling of nuclear reactors, microelectronics, electromechanical systems, and drug delivery in chemotherapy.

Acknowledgments

Authors are grateful to the Editor and Reviewers for their considerable and valuable suggestions.

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