Dr. Shankar B M

Associate Professor

Dr. B M Shankar is affiliated to Department of Science and Humanities, PES University, where he is currently working as Associate Professor of Mathematics. He has authored and co-authored several national and international publications and also working as a reviewer for reputed professional journals. He is having an active association with different societies and academies around the world. B M S major research interest involves: Applied Mathematics, Hydrodynamic stability, fluid mechanics, Convection in porous media.

Science & Humanities

Qualification
Qualification Institution Year
Ph.D Bangalore University 2014
Master’s degree Bangalore University 2008 PES University Associate Professor of Mathematics April, 1 2018 onwards

Experience
Designation Institution From To
Associate Professor PES University 2018 2019
Assistant Professor PES University 2014 2018
Assistant Professor PES Institute of Technology 2011 2014

Awards / Achievement
  • Senior Research Fellow in ISRO Respond Project. September 8, 2010 - August 11, 2011
  • Senior Research Fellow in ISRO Respond Project. September 8, 2010 - August 11, 2011

Responsibilities
  • Faculty Adviser
  • Section In-charge
  • Sports Coordinator

Expertise / list of subjects handled
  • Teaching Master of Technology and Bachelor of Technology Courses since 2011.
Research Interest
  • Hydrodynamic stability
  • Fluid Mechanics
  • Applied and Computational Mathematics

Conferences
  • B.M. Shankar, N. Rudraiah, Effects of electric field and Coriolis force on electrohydrodynamic stability of poorly conducting couple stress parallel fluid flow in a channel, Proceedings of 5 th  INTERNATIONAL CONFERENCE ON THE FRONTIERS OF PLASMA PHYSICS AND TECHNOLOGY, Singapore, pp. 1-19, 2011.
  • B.M. Shankar, N. Rudraiah, Effect of Coriolis force and electric field on electrohydrodynamic stability of poorly conducting couple stress parallel fluid flow through a porous channel, Proceedings of 13 th Asian Congress Fluid Mechanics, Dhaka, Bangladesh, Section 7.0, pp. 493-496, 2010.

Journals
  • B.M. Shankar, Jai Kumar, I.S. Shivakumara, Magnetohydrodynamic instability of mixed convection in a differentially heated vertical channel. The European Physical Journal Plus, 134, pp. 53-64, 2019.
  • B.M. Shankar, I.S. Shivakumara, Stability of penetrative natural convection in a non-Newtonian fluid-saturated vertical porous layer. Transport in Porous Media 124, pp. 395-411, 2018.
  • B.M. Shankar, I.S. Shivakumara, Magnetohydrodynamic stability of pressure-driven flow in an anisotropic porous channel: Accurate solution. Applied Mathematics and Computation 321, pp. 752-767, 2018.
  • B.M. Shankar, Jai Kumar, I.S. Shivakumara, Stability of natural convection in a vertical dielectric couple stress fluid layer in the presence of a horizontal ac electric field. Applied Mathematical Modelling 40, pp. 5462-5481, 2016.
  • B.M. Shankar, Jai Kumar, I.S. Shivakumara, Stability of natural convection in a vertical dielectric couple stress fluid layer in the presence of a horizontal ac electric field. Applied Mathematical Modelling 40, pp. 5462-5481, 2016.
  • B.M. Shankar, Jai Kumar, I.S. Shivakumara, Numerical investigation of electrohydrodynamic instability in a vertical porous layer. Applied Mathematics and Computation 310, pp. 15-39, 2017
  • B.M. Shankar, Jai Kumar, I.S. Shivakumara, Boundary and inertia effects on the stability of natural convection in a vertical layer of an anisotropic Lapwood-Brinkman porous medium. Acta Mechanica 228, pp. 2269-2282, 2017.
  • B.M. Shankar, Jai Kumar, I.S. Shivakumara, Magnetohydrodynamic stability of natural convection in a vertical porous slab. Journal of Magnetism and Magnetic Materials 421, pp. 152-164, 2017.
  • B.M. Shankar, I.S. Shivakumara, On the stability of natural convection in a porous vertical slab saturated with an Oldroyd-B fluid. Theoretical and Computational Fluid Dynamics 31, pp. 221-231, 2017.
  • B.M. Shankar, I.S. Shivakumara, Effect of local thermal nonequilibrium on the stability of natural convection in an Oldroyd-B fluid saturated vertical porous layer. ASME-Journal of Heat Transfer 139, pp. 041001-1-10, 2017.
  • B.M. Shankar, Jai Kumar, I.S. Shivakumara, Stability of natural convection in a vertical layer of Brinkman porous medium. Acta Mechanica 228, pp. 1-19, 2017.
  • B.M. Shankar, I.S. Shivakumara, C.O. Ng, Stability of couple stress fluid flow through a horizontal porous layer. Journal of Porous Media 19, pp. 391-404, 2016
  • B.M. Shankar, Jai Kumar, I.S. Shivakumara, S.B. Naveen Kumar, Effect of horizontal AC electric field on the stability of natural convection in a vertical dielectric fluid layer. Journal of Applied Fluid Mechanics 9, pp. 3073-3086, 2016
  • B.M. Shankar, Jai Kumar, I.S. Shivakumara, S.B. Naveen Kumar, Effect of horizontal AC electric field on the stability of natural convection in a vertical dielectric fluid layer. Journal of Applied Fluid Mechanics 9, pp. 3073-3086, 2016
  • B.M. Shankar, Jai Kumar, I.S. Shivakumara, S.B. Naveen Kumar, Effect of horizontal AC electric field on the stability of natural convection in a vertical dielectric fluid layer. Journal of Applied Fluid Mechanics 9, pp. 3073-3086, 2016
  • B.M. Shankar, Jai Kumar, I.S. Shivakumara, Stability of natural convection in a vertical couple stress fluid layer. International Journal of Heat and Mass Transfer 78, pp. 447–459, 2014
  • B.M. Shankar, Jai Kumar, I.S. Shivakumara, C.O. Ng, Stability of fluid flow in a Brinkman porous medium – A numerical study*. Journal of Hydrodynamics 26, pp. 681-688, 2014.
  • N. Rudraiah, B.M. Shankar, C.O. Ng, Electrohydrodynamic stability of couple stress fluid flow in a channel occupied by a porous medium. Special Topics and Reviews in Porous Media 2, pp. 11-22, 2011.

Others
  • Attended the workshop on Emerging Trends in Green Technologies conducted by Department of Science and Humanities, PES University, Bangalore, during July 5-7, 2018
  • Attended the Faculty Development Program on Applications of Differential Equations in Engineering Problems conducted by Department of Science and Humanities, PES University, Bangalore, during July 20-22, 2017
  • Attended Science Academies Lecture workshop on Applications of Differential Equations in Engineering and Biology organized by Department of Mathematics, Sri Venkateswara University, Tirupathi, during March 9-11, 2017.
  • Attended the National conference on Recent Advances in Applied Sciences organized by AMC Engineering College and presented the paper entitled Effect of magnetic field on Gill's stability problem held during April 25, 2016.
  • Attended the National workshop on Advances in Lithium ion Battery Materials organized by Department of Sciences and Humanities, PES University during Dec 28, 2015.
  • Attended the 5th International conference on the Frontiers of Plasma Physics and technology, Singapore organized in cooperation with International Atomic Energy Agency and presented the paper entitled Effect of electric field and Coriolis force on electrohydrodynamic stability of poorly conducting couple stress parallel fluid flow in a channel held during April 18-22, 2011.
  • Three days national workshop on Elliptical partial differential equations, held at TIFR, Bangalore, during January 4-7, 2011
  • Attended the National Workshop on Recent Trends and applications of Fluid Mechanics, organized by Department of Mathematics, Banaras Hindu University, Varanasi, during July 06-12, 2010
  • Attended the National Workshop on Recent Trends and applications of Fluid Mechanics, organized by Department of Mathematics, Banaras Hindu University, Varanasi, during July 06-12, 2010
  • Attended the National Workshop on Recent Trends and applications of Fluid Mechanics, organized by Department of Mathematics, Banaras Hindu University, Varanasi, during July 06-12, 2010
  • National Seminar on Fluid Mechanics, sponsored by UGC, New Delhi under Special Assistance Programme DRS, Gulbarga University, Gulbarga held during March 24-35, 2009
  • International Conference on Frontiers in Fluid Mechanics at UGC-CAS in Fluid Mechanics, Department of Mathematics, Bangalore University, Bangalore, during August 31-September 2, 2009, presented the paper.
  • Attended 74th Annual Conference of Indian Mathematical Society held during December 27-30, 2008 at University of Allahabad, Allahabad. December 27-30, 2008, presented the paper