Numerical study of self-similar natural convection mass transfer from a rotating cone in anisotropic porous media with Stefan blowing and Navier slip

Beg, OA; Uddin, MJ; Beg, TA; Kadir, A; Shamshuddin, M; Babaie, M

Abstract

A mathematical model is presented for laminar, steady natural convection mass transfer in boundary layer
flow from a rotating porous vertical cone in anisotropic high permeability porous media. The transformed boundary
value problem is solved subject to prescribed surface and free stream boundary conditions with a MAPLE 17
shooting method. Validation with a Chebyshev spectral collocation method is included. The influence of tangential
Darcy number, swirl Darcy number, Schmidt number, rotational parameter, momentum (velocity slip), mass slip and
wall mass flux (transpiration) on the velocity and concentration distributions is evaluated in detail. The computations
show that tangential and swirl velocities are enhanced generally with increasing permeability functions (i.e. Darcy
parameters). Increasing spin velocity of the cone accelerates the tangential flow whereas it retards the swirl flow. An
elevation in wall suction depresses both tangential and swirl flow. However, increasing injection generates
acceleration in the tangential and swirl flow. With greater momentum (hydrodynamic) slip, both tangential and swirl
flows are accelerated. Concentration values and Sherwood number function values are also enhanced with
momentum slip, although this is only achieved for the case of wall injection. A substantial suppression in tangential
velocity is induced with higher mass (solutal) slip effect for any value of injection parameter. Concentration is also
depressed at the wall (cone surface) with an increase in mass slip parameter, irrespective of whether injection or
suction is present. The model is relevant to spin coating operations in filtration media (in which swirling boundary
layers can be controlled with porous media to deposit thin films on industrial components), flow control of mixing
devices in distillation processes and also chromatographical analysis systems.

Citation

Beg, O., Uddin, M., Beg, T., Kadir, A., Shamshuddin, M., & Babaie, M. (2020). Numerical study of self-similar natural convection mass transfer from a rotating cone in anisotropic porous media with Stefan blowing and Navier slip. Indian Journal of Physics, 94, 863-877. https://doi.org/10.1007/s12648-019-01520-9

• Journal Article Type: Article
• Acceptance Date: Apr 11, 2019
• Online Publication Date: Jun 5, 2019
• Publication Date: Jun 1, 2020
• Deposit Date: Apr 15, 2019
• Publicly Available Date: Jun 5, 2020
• Journal: Indian Journal Of Physics
• Print ISSN: 0019-5480
• Publisher: Springer Verlag
• Volume: 94
• Pages: 863-877
• DOI: https://doi.org/10.1007/s12648-019-01520-9
• Publisher URL: https://doi.org/10.1007/s12648-019-01520-9
• Related Public URLs: https://www.springer.com/physics/journal/12648