Maple and spectral computation of free convection slip mass transfer from a spinning conical porous body to an anisotropic permeable medium

Beg, OA; Beg, TA; Kadir, A; Uddin, MJ; Vasu, B; Shamshuddin, M

Abstract

Many industrial materials processing and mechanical engineering systems feature swirl flows from rotating bodies including thin
film coatings, centrifugal separation and mixing devices. This work therefore explores the steady axisymmetric laminar boundary
layer natural convection mass transfer from a spinning porous vertical conical geometry in anisotropic high permeability porous
media. Slip effects are incorporated at the cone surface. 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.

Citation

Beg, O., Beg, T., Kadir, A., Uddin, M., Vasu, B., & Shamshuddin, M. Maple and spectral computation of free convection slip mass transfer from a spinning conical porous body to an anisotropic permeable medium. Presented at International Conference on Future Trends in Materials and Mechanical Engineering (ICFTMME-2020), NCR Campus, Ghaziabad, India

• Presentation Conference Type: Other
• Conference Name: International Conference on Future Trends in Materials and Mechanical Engineering (ICFTMME-2020)
• Conference Location: NCR Campus, Ghaziabad, India
• End Date: Nov 7, 2020
• Acceptance Date: Mar 13, 2020
• Publication Date: Nov 7, 2020
• Deposit Date: Mar 16, 2020
• Series Title: Lecture Notes in Mechanical Engineering
• Book Title: Advances in materials and mechanical engineering : select proceedings of ICFTMME 2020
• ISBN: 9789811606724-(print);-9789811606731-(online)
• Publisher URL: https://icftmme.webs.com/
• Additional Information: Event Type : Conference