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Computational Thermal Sciences: An International Journal
ESCI SJR: 0.249 SNIP: 0.434 CiteScore™: 1.4

ISSN Imprimer: 1940-2503
ISSN En ligne: 1940-2554

Computational Thermal Sciences: An International Journal

DOI: 10.1615/ComputThermalScien.2020033860
pages 329-344


B. Md. Hidayathulla Khan
Department of Mathematics, Aditya College of Engineering, Madanapalle – 517325, India
Shaik Abdul Gaffar
Department of Information Technology, Mathematics Section, Salalah College of Technology, Salalah – 211, Oman
Osman Anwar Beg
Gort Engovation-Aerospace, Medical and Energy Engineering, Gabriel's Wing House, 15 Southmere Avenue, Bradford, BD73NU, United Kingdom; Fluid Mechanics, Department of Mechanical and Aeronautical Engineering, Salford University, M54WT, England, United Kingdom
Ali Kadir
Multi-Physical Engineering Sciences Group, Aeronautical and Mechanical Engineering Department, School of Science, Engineering and Environment (SEE), Newton Building, University of Salford, Manchester, M54WT, UK
P. Ramesh Reddy
Department of Mathematics,Madanapalle Institute of Science & Technology, Madanapalle, India


Thermal coating of components with non-Newtonian materials is a rich area of chemical and process mechanical engineering. Many different rheological characteristics can be simulated for such coatings with a variety of different mathematical models. In this work, we study the steady-state coating flow and heat transfer of a non-Newtonian liquid (polymer) on an inverted isothermal cone with variable wall temperature. The Eringen micropolar and three-parameter Eyring-Powell models are combined to simulate microstructural and shear characteristics of the polymer. The governing partial differential conservation equations and wall and free stream boundary conditions are rendered into dimensionless form and solved computationally with the Keller-box finite difference method. Validation with earlier Newtonian solutions from the literature is also included. Graphical and tabulated results are presented to study the variations of fluid velocity, micro-rotation (angular velocity), temperature, skin friction, wall couple stress (micro-rotation gradient) and wall heat transfer rate. The present numerical simulations find applications in thermal polymer coating operations and industrial deposition techniques and provide a useful benchmark for more general computational fluid dynamics simulations.


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