Assistant Professor

Dr. Tapan Kumar Hota

Department of Mathematics

Interests

  1. Hydrodynamic Instabilities
  2. Partial Differential Equations

Education

2002

KBDAV College
Odisha
Bachelors

2007

Utkal University
Odisha
Masters

2012

Indian Institute of Science, Bangalore
India
MS (Research)

2017

Indian Institute of Technology Ropar
Punjab
Ph.D.

Research Interest

  • Analysing the abstract mathematical structure of the unsteady partial differential equations that arise in different classical fluid flow phenomenon in porous media.  I use a mixture of analytical and numerical techniques in analysing these equations.
  • Study of the hydrodynamic stability phenomenon known Saffman-Taylor instability, which is also known as viscous fingering.

Awards & Fellowships

  • 2017, Indo-US Postdoctoral Fellowship, (Award # 111) SERB, Govt. of India
  • 2017, National Postdoctoral Fellowship, (Award # PDF/2017/002822) SERB, Govt. of India
  • 2016, Director’s Fellowship, (Award # 671) IIT Ropar, India
  • 2015, International Travel Grant (Sanction Order ITS/4601/2015-16) DST, Govt. of India

Memberships

  • American Physical Society (APS), Member id: 61180089.
  • International Association of Engineers (IAENG), Member id: 133517.
  • Society for Industrial and Applied Mathematics (SIAM), Membership id: 020872767

List of Publications

Publications:

  • Nonmodal stability analysis of miscible viscous fingering with non-monotonic viscosity profiles- K. Hota, M. Mishra, Journal Fluid Mechanics, 856, 552-579, (2018).
  • A general approach to the linear stability analysis of miscible viscous fingering in porous media- K. Hota, S. Pramanik, M. Mishra, Springer's proceedings in Complexity series, CS-DC’15 World e-conference, 109-115 (2016).
  • Nonmodal stability analysis of miscible viscous fingering in a porous media- K. Hota, S. Pramanik, M. Mishra, Physical Review E., 92(5), 053007, (2015).
  • Influence of viscosity contrast on buoyantly unstable miscible fluids in porous media- Pramanik, T.K. Hota, M. Mishra, Journal Fluid Mechanics, 780, 388-406, (2015).
  • Onset of fingering instability in a finite slice of adsorbed solute- K. Hota, S. Pramanik, M. Mishra, Physical Review E., 92(2), 023013, (2015).
  • Thermally developing combined electroosmotic and pressure-driven flow of nanofluids in a microchannel under the effect of magnetic field- S. Ganguly, S. Sarkar, K. Hota, M. Mishra, Chemical Engineering Science, 126, 10-21, (2015).

Abstracts/Presentation in International Conference:

  • Non-modal growth of perturbations in miscible displacements with non-monotonic viscosity profiles- K. Hota, M. Mishra, InterPore 10th Annual Meeting and Jubilee, May 14-17, 2018, New Orleans, USA (Oral presentation).
  • Optimal Structures of miscible viscous fingering with non-monotonic viscosity-K. Hota, M. Mishra, Proceedings of 14th International Conference on Flow Dynamics, November 1-3, 2017, Sendai, Japan.
  • The effect of viscosity variation on the stability of a buoyantly unstable miscible layer in porous media, K. Hota, S. Pramanik, M. Mishra, Bulletin of the American Physical Society, APS March Meeting, volume 61, No. 1, March 14-18, 2016, Baltimore, Maryland, USA.
  • Transient optimal perturbations of viscous fingers with buoyantly unstable miscible fluids-K. Hota, M. Mishra, Recent Advances in Theoretical & Computational PDEs with Application, December 5-9, 2016, Panjab University, Punjab, India (Oral presentation).
  • Fingering instability as an input-output problem-K. Hota, M. Mishra, International Conference on Current Trends in PDEs: Theory & Computation, December 28 -30, 2015, South Asian University, New Delhi, India (Oral presentation).
  • Viscous fingering effect on buoyantly unstable miscible fluids-K. Hota, M. Mishra, Cynosure, Mathematics Research Day, November 7, 2015, IIT Ropar, India (Poster presentation).
  • Influence of fluid dispersion on transient behaviours of miscible viscous fingering- K. Hota, M. Mishra, Bulletin of the American Physical Society, 68th Annual meeting of The APS Division of Fluid Dynamics, volume 60, No. 21, November 22-24, 2015, Boston, MA, USA (Oral presentation).
  • Stability analysis of viscous fingering effects on the adsorbed solute dynamics- K. Hota, M. Mishra, Proceedings of 12th International Conference on Flow Dynamics, October 27-29, 2015, Sendai, Japan.
  • Linear stability of a rectilinear miscible displacement: A non-modal approach T.K. Hota, M. Mishra, IUTAM Symposium on Multiphase Flows with Phase Change: Challenges & Opportunities, December 8-11, 2014, IIT Hyderabad (Poster presentation).
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