Magnetohydrodynamic and Ferrohydrodynamic Interactions on the Biomagnetic Flow and Heat Transfer Containing Magnetic Particles Along a Stretched Cylinder

Authors

  • Jahangir Alam Research Group of Fluid Flow Modeling and Simulation, Department of Applied Mathematics, University of Dhaka, Dhaka-1000, Bangladesh
  • M. G. Murtaza Department of Mathematics, Comilla University, Cumilla-3506, Bangladesh
  • Efstratios Tzirtzilakis Fluid Mechanics and Turbomachinary Laboratory, Department of Mechanical Engineering, University of the Peloponnese, Tripoli, Greece
  • Mohammad Ferdows Research Group of Fluid Flow Modeling and Simulation, Department of Applied Mathematics, University of Dhaka, Dhaka-1000, Bangladesh

DOI:

https://doi.org/10.13052/ejcm2642-2085.3111

Keywords:

BFD, Blood, magnetic particles, stretched cylinder, magnetic dipole, finite difference method.

Abstract

In this paper, the laminar, incompressible and viscous flow of a biomagnetic fluid containing Fe33O44 magnetic particles, through a two dimensional stretched cylinder is numerically studied in the presence of a magnetic dipole. The extended formulation of Biomagnetic Fluid Dynamics (BFD) which involves the principles of MagnetoHydroDynamic (MHD) and FerroHydroDynamic (FHD) is adopted. The pressure terms are also taken consideration. The physical problem which is described by a coupled system of partial differential equations along with corresponding boundary conditions is converted to a coupled system of nonlinear ordinary differential equations subject to analogous boundary conditions utilizing similarity approach. The numerical solution is obtained by using an efficient technique which is based on a common finite difference method with central differencing, a tridigonal matrix manipulation and an iterative procedure. For verification proposes a comparison with previously published results is also made. The numerous results concerning the axial velocity, temperature, pressure, skin friction coefficient, rate of heat transfer and wall pressure parameter are presented for various values of the parameters. The axial velocity is decreased as the ferromagnetic number increases, temperature is enhanced with increasing values of the magnetic parameter.

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Author Biographies

Jahangir Alam, Research Group of Fluid Flow Modeling and Simulation, Department of Applied Mathematics, University of Dhaka, Dhaka-1000, Bangladesh

Jahangir Alam received the bachelor’s and master’s degree in Mathematics from Comilla University, Bangladesh in 2017 and 2018, respectively. He is currently a philosophy of doctorate degree (Ph.D.) student at the Department of Applied Mathematics, University of Dhaka, Bangladesh. His research activities are focused on modeling and implementation of bio-fluid model with thermo-physical properties of nanoparticles and analysis their proper applications in relevant fields.

M. G. Murtaza, Department of Mathematics, Comilla University, Cumilla-3506, Bangladesh

M. G. Murtaza received the bachelor’s degree in Mathematics from University of Dhaka in 2006, the master’s degree in Applied Mathematics from University of Dhaka in 2008, and the philosophy of doctorate degree (Ph.D.) in Applied Mathematics from University of Dhaka in 2020, respectively. Since 2020, he has been working as an Associate professor at the Department of Mathematics, Faculty of Science, Comilla University, Cumilla-3506, Bangladesh. His research focuses on the modeling, analysis and implementation of numerical simulation of fluid flow problems, and analysis their appropriate applications.

Efstratios Tzirtzilakis, Fluid Mechanics and Turbomachinary Laboratory, Department of Mechanical Engineering, University of the Peloponnese, Tripoli, Greece

Efstratios Tzirtzilakis is professor at the Department of Mechanical Engineering, University of the Peloponnese, Greece. He has a degree in Mathematics, an MSc in Applied Mathematics, and a PhD in Biomagnetic Fluid Dynamics (BFD). His research field lies in Computational Fluid Mechanics and especially BFD, ferrofluid and MagnetoHydrodynamic flows. He has published in mathematical formulation of BFD flow problems, numerical methods for the solution of fluid mechanics problems, internal and boundary layer flows, analytic solutions and generally, in the research area of applied mathematics. He is author or co-author of more than 50 papers in international refereed journal with more than 1300 references from other researchers. He is member of the Editorial Board of the “Mathematical Problems in Engineering” International Journal (JSR IF 1.305) and “Mathematics” JSR IF 2.258. He is an expert in BFD flows and two of his publications were selected for the “Virtual Journal of Biological Physics Research”, where the papers published are reviewed for second time by a different editor and consider to constitute frontier research. He has also include in the database <<<<Data for Updated science-wide author database of standardized citation indicators >>>>, for the years 2020 and 2021 which includes the top 2% of the researchers worldwide with respect the number of citations in a specific area of research. In the past he has received scholarships from the Greek State Scholarship Foundation during his graduate and post-doctoral studies.

Mohammad Ferdows, Research Group of Fluid Flow Modeling and Simulation, Department of Applied Mathematics, University of Dhaka, Dhaka-1000, Bangladesh

Mohammad Ferdows received his Ph.D. degrees from the Department of Mechanical Engineering, Tokyo Metropolitan University, Japan. He worked as a Postdoctoral Research Associate at several Institute/University and also worked as Professor and Visiting Professor in Louisiana Tech University, King Abdulaziz University, King Abdullah University of Science and Technology. Currently he is working as Professor at the Department of Applied Mathematics, University of Dhaka, Bangladesh. His research interests are in fluid mechanics, transport phenomena and biomedical flow phenomena.

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Published

2022-02-22

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Original Article