Stefan blowing, navier slip and radiation effects on thermo-solutal convection from a spinning cone in an anisotropic porous medium

Uddin, MJ; Beg, OA; Beg, ETA

Abstract

Thermal radiation features in many high temperature materials processing operations. To evaluate the influence of radiative flux on spin coating systems, we consider herein the thermo-solutal (coupled heat and mass transfer) in steady laminar boundary layer natural convection flow from a rotating permeable vertical cone to an anisotropic Darcian porous medium. Surface slip effects are also included in the model presented. The conservation equations are rendered into self-similar form and solved as an ordinary differential two-point boundary value problem with surface and free stream boundary conditions using MAPLE 17 software. The transport phenomena are observed to be controlled by ten parameters, viz primary and secondary Darcy numbers (Dax and Da), rotational (spin) parameter (NR), velocity slip parameter (a), suction/injection parameter (S), thermal slip parameter (b), mass slip parameter (c) buoyancy ratio parameter (N), and conduction-radiation parameter (Rc). Tangential velocity and temperature are observed to be enhanced with greater momentum slip whereas swirl velocity and concentration are reduced. Increasing swirl Darcy number strongly accelerates both the tangential and swirl flow and also heats the regime whereas it decreases concentrations. Conversely a rise in tangential Darcy number accelerates only the tangential flow and decelerates swirl flow, simultaneously depressing temperatures and concentrations. Increasing thermal slip accelerates the swirl flow and boosts concentration but serves to retard the tangential flow and decrease temperatures. With higher radiation contribution (lower Rc values) temperatures are elevated and concentrations are reduced. Verification of the MAPLE 17 solutions is achieved using a Keller-box finite difference method (KBM). A number of interesting features in the thermo-fluid and species diffusion characteristics are addressed.
Key words: Stefan blowing; Spinning cone; MAPLE 17; Anisotropic

Citation

Uddin, M., Beg, O., & Beg, E. (2016). Stefan blowing, navier slip and radiation effects on thermo-solutal convection from a spinning cone in an anisotropic porous medium. Journal of Porous Media, 19(7), 617-633. https://doi.org/10.1615/JPorMedia.v19.i7.40

• Journal Article Type: Article
• Acceptance Date: Mar 15, 2016
• Publication Date: Aug 1, 2016
• Deposit Date: Sep 1, 2016
• Publicly Available Date: Aug 14, 2018
• Journal: Journal of Porous Media
• Print ISSN: 1091-028X
• Electronic ISSN: 1934-0508
• Publisher: Begell House
• Volume: 19
• Issue: 7
• Pages: 617-633
• DOI: https://doi.org/10.1615/JPorMedia.v19.i7.40
• Publisher URL: http://dx.doi.org/10.1615/JPorMedia.v19.i7.40
• Related Public URLs: http://www.begellhouse.com/journals/49dcde6d4c0809db