title: Network and Nakamura tridiagonal computational simulation of electrically-conducting biopolymer micro-morphic transport phenomena.
abstract: Magnetic fields have been shown to achieve excellent fabrication control and manipulation of conductive bio-polymer characteristics. To simulate magnetohydrodynamic effects on non-Newtonian electro-conductive bio-polymers (ECBPs) we present herein a theoretical and numerical simulation of free convection magneto-micropolar biopolymer flow over a horizontal circular cylinder (an "enrobing" problem). Eringen's robust micropolar model (a special case of the more general micro-morphic or "microfluid" model) is implemented. The transformed partial differential conservation equations are solved numerically with a powerful and new code based on NSM (Network Simulation Method) i.e. PSPICE. An extensive range of Hartmann numbers, Grashof numbers, micropolar parameters and Prandtl numbers are considered. Excellent validation is also achieved with earlier non-magnetic studies. Furthermore the present PSPICE code is also benchmarked with an implicit tridiagonal solver based on Nakamura's method (BIONAK) again achieving close correlation. The study highlights the excellent potential of both numerical methods described in simulating nonlinear biopolymer micro-structural flows.
authors.affiliation: Gort Engovation (Propulsion and Biophysics), Southmere Avenue, Bradford, BD7 3NU, UK. Electronic address: gortoab@gmail.com.
authors.forename: O
authors.initials: O
authors.lastname: Anwar Bég
authors.affiliation: Departamento de Ingeniería Térmica y Fluidos, Universidad Politécnica de Cartagena, Murcia, Spain.
authors.forename: J
authors.initials: J
authors.lastname: Zueco
authors.affiliation: Mechanical Engineering Department, Shahrood University of Technology, Shahrood, Iran.
authors.forename: M
authors.initials: M
authors.lastname: Norouzi
authors.affiliation: Mechanical Engineering Department, Shahrood University of Technology, Shahrood, Iran.
authors.forename: M
authors.initials: M
authors.lastname: Davoodi
authors.affiliation: Mechanical-Polymer Technology Group, Eindhoven University of Technology, Eindhoven, Netherlands.
authors.forename: A A
authors.initials: AA
authors.lastname: Joneidi
authors.affiliation: Mathematics Department, Faculty of Education, Ain shams, University, Heliopolis, Cairo, Egypt.
authors.forename: Assma F
authors.initials: AF
authors.lastname: Elsayed
mesh_terms: D001704:Biopolymers / Q000737:chemistry*; D003198:Computer Simulation; D004553:Electric Conductivity; D060526:Magnetic Fields; D008956:Models, Chemical
chemical_list: D001704:Biopolymers
keywords: Boundary layers; Buoyancy; Electro-conductive biolpolymers (ECBPs); Grashof number; Hartmann number; Magnetohydrodynamics (MHD); Micro-rotation; Micropolar fluids; Nakamura method; Network simulation; Thermal convection; Vortex viscosity