The 6th IASTED African Conference on
Modelling and Simulation
AfricaMS 2016

September 5 – 7, 2016
Gaborone, Botswana


MHD Forced Convection Flow of Non-Newtonian Fluid through Stumpy Permeable Porous Medium

Prof. Jagdish Prakash
Department of Mathematics, University of Botswana, Botswana


In this paper, we have investigated the simulation on the magneto-hydrodynamic (MHD) forced convection flow through stumpy permeable porous medium (oil sands, sand) using Lattice Boltzmann method. Simulation is carried out for non-Newtonian fluids, both shear-thinning and shear thickening, by varying the power law index from 0.5 to 1.5 in the Carreau-Yasuda model, which is used to represent non-Newtonian fluids. Parameters involved in Lattice Boltzmann method and Carreau model are identified appropriately to achieve numerical convergence. Permeability and porosity are varied in the range of 10-10 to 10-6 and 0.1 to 0.7, respectively, to match actual geometrical properties of low permeable porous media such as sandstone and sand. Numerical technology is validated by establishing Darcy’s law by plotting the graph between velocity and pressure gradient. Consequently, the investigation is carried out to study the influence of material properties of porous medium on flow properties such as velocity profiles, temperature profiles and Nusselt number.

Biography of the Plenary Speaker

J. Prakash : Department of Mathematics, University of Botswana, Private Bag 0022, Gaborone, Botswana
M. Veera Krishna: Department of Mathematics, Rayalaseema University, Kurnool, Andhra Pradesh, India

Plenary Speaker Portrait

Dr. J. Prakash, settled in Botswana, Africa, is an Internationally Acclaimed Scholarly professor of mathematics for the last four decades. He has brought glory to India and enhanced the prestige of his home state of Uttar Pradesh by his profound knowledge, study and reserch of the highest caliber.
He is a highly educated learned man dedicated to the diety of learning; Saraswati. He has a M.Sc. With Mathematics from Meerut University, D. Phil from Garhwal University, C.Math, F.I.M.A., C. Sci(UK); MRSNZ, Dip. TCHG from the Massey University of New Zealand.
Dr. J. Prakash stated his career as a professor of Mathematics at a university level and has won International Acclaims and Recognition in the field of Teaching and Research. He has imported vast knowledge to thousands of student in the highest centres of leading Colleges, several universities in India, Iraq (Basrah), Zambia and Botswana. He is a professor of Mathematics in the University of Botswana at present.
Dr. J. Prakash is an Authorative Faculty of Mathematics member and has delivered keynote addresses and made learned presentations at a number of national & international seminars, symposiums and conferences all over the world. His papers – essays have been published in over 100 prestigious journals and proceedings.
He is a proud recipient of many prestigious awards for his outstanding contribution to the field of Higher Education. Deserving special mention is the prestigious C.V.RAMAN Research Award from the Governments of India in 2012.
Professional Honours and Awards:
1. Conferred the status as CHARTERED SCIENTIST (C. Sci.) by the Science Council of the Institute of Mathematics and Its Applications (UK) on the sixth October 2005. Registration number: IMA/114/013108.
2. Conferred the status as CHARTERED MATHEMATICIAN (C. Math. ) by the Privy Council being the Fellow of the Institute of Mathematics and Its Applications (UK) on the first day of January 1993.
3. Elected a FELLOW (FIMA) of the Institute of Mathematics and its Applications (UK) on the 1st day of March 1989.
4. Elected an ASSOCIATE FELLOW (AFIMA) of the Institute of Mathematics and Its Applications
( UK ) on the 22nd day of August 1985.
5. Prestigious Award of the C. V. Raman International Fellowship for African Researchers under Visiting Fellowship Program from FICCI Science and Technology, International Cooperation Division, Government of India, New Delhi: Host Institution: Fluid Dynamics Division, VIT University, Vellore, Tamil Nadu-632014, India: Duration: 3 months (14 May 2012- 14 August 2012).
6. Prestigious “GLOBAL VISIONARY AWARD” was conferred on the 13 January 2014 by VISION FOUNDATION, Ahmedabad, India, Venue: Tagore Hall, Opposite NID, Paldi, Ahmedabad-380007, India