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 (in Journals):

  • Hota, T. K., Mishra, M.: Transient growth and symmetrizability in rectilinear miscible viscous fingering, Journal of Engineering Mathematics,volume 120, page 111-128, 2020 (doi:10.1007/s10665-019-10034-6).
  • Hota, T. K., Mishra, M.: Nonmodal stability analysis of miscible viscous fingering with non-monotonic viscosity profiles, Journal of Fluid Mechanics, volume 856, page 552-579, 2018 (doi:10.1017/jfm.2018.674).
  • Hota, T. K., Pramanik, S., Mishra, M.: A general approach to the linear stability analysis of miscible viscous fingering in porous media, Springer’s proceedings in Complexity series, CS-DC’15 World e-conference, pp. 109-115, 2016 (doi:10.1007/978-3-319-45901-1 10).
  • Hota, T. K., Pramanik, S., Mishra, M.: Nonmodal stability analysis of miscible viscous fingering in a porous media, Physical Review E., volume 92, issue 5, 053007, 2015 (doi:10.1103/PhysRevE.92.053007).
  • Pramanik, S., Hota, T. K., Mishra, M.: Influence of viscosity contrast on buoyantly unstable miscible fluids in porous media, Journal of Fluid Mechanics, volume 780, page 388-406, 2015 (doi:10.1017/jfm.2015.481).
  • Hota, T. K., Pramanik, S., Mishra, M.: Onset of fingering instability in a finite slice of adsorbed solute, Physical Review E., volume 92, issue 2, 023013, 2015 (doi:10.1103/PhysRevE.92.023013).
  • Ganguly, S. Sarkar, S., Hota, T. K., Mishra, M.: Thermally developing combined electroosmotic and pressure-driven flow of nanofluids in a microchannel under the effect of magnetic field, Chemical Engineering Science, volume 126, page 10-21, 2015 (doi:10.1016/j.ces.2014.11.060).

Abstracts/Presentation:

  • Hota, T. K.: Effects of Viscosity Profiles on Localized Miscible Fluid in a Porous Media, the 64th Congress of Indian Society of Theoretical and Applied Mechanics (ISTAM), December 9-12, 2019, Indian Institute of Technology Bhubaneswar, India.
  • Hota, T. K., Mishra, M: Non-modal growth of perturbations in miscible displacements with non-monotonic viscosity profiles, InterPore 10th Annual Meeting and Jubilee, May 14-17, 2018, New Orleans, USA.
  • Hota, T. K., Mishra, M: Optimal Structures of miscible viscous fingering with nonmonotonic viscosity, Proceedings of 14th International Conference on Flow Dynamics, November 1-3, 2017, Sendai, Japan.
  • Pramanik, S.,Hota, T. K., Mishra, M.: The effect of viscosity variation on the stability of a buoyantly unstable miscible layer in porous media, Bulletin of the American Physical Society, APS March Meeting, volume 61, No. 1, March 14-18, 2016, Baltimore, Maryland, USA.
  • Hota, T. K., Mishra, M: Transient optimal perturbations of viscous fingers with buoyantly unstable miscible fluids (Oral presentation) Recent Advances in Theoretical & Computational PDEs with Application, December 5-9, 2016, Panjab University, Punjab, India.
  • Hota, T. K., Mishra, M: Fingering instability as an input-output problem, (Oral presentation) International Conference on Current Trends in PDEs: Theory & Computation, December 28 –30, 2015, South Asian University, New Delhi, India.
  • Hota, T. K., Mishra, M: Viscous fingering effect on buoyantly unstable miscible fluids, Cynosure, Mathematics Research Day, November 7, 2015, IIT Ropar, India.
  • Hota, T. K., Mishra, M.: Influence of fluid dispersion on transient behaviors of miscible viscous fingering, 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.
  • Hota, T. K., Mishra, M.: Stability analysis of viscous fingering effects on the adsorbed solute dynamics, Proceedings of 12th International Conference on Flow Dynamics, October 27-29, 2015, Sendai, Japan.
  • Hota, T. K., Mishra, M.: Linear stability of a rectilinear miscible displacement: A non-modal approach, IUTAM Symposium on Multiphase Flows with Phase Change: Challenges & Opportunities, December 8-11, 2014, IIT Hyderabad.
  • Hota, T. K., Mishra, M.: Non-modal disturbance growth of miscible viscous fingering in porous media, Bulletin of the American Physical Society, 67th Annual meeting of The APS Division of Fluid Dynamics, volume 59, No. 20, November 23-25, 2014, San Francisco, CA, USA.
  • Hota, T. K., Mishra, M: Miscible viscous fingering instability in a microfluidic HeleShaw cell: a non- normal linear stability analysis, Indo-US workshop on Recent Advances in Micro/Nano-scale Heat Transfer and Applications in Clean Energy Technologies, December 21- 22, 2013, IIT Ropar, India.

Referee for Journals:

  • Journal of Fluid Mechanics, Cambridge University Press.
  • Journal of Fluid Mechanics- Rapids, Cambridge University Press

Professional Affiliations:

  • American Physical Society (APS), Member id: 61180089.
  • Society for Industrial and Applied Mathematics (SIAM), Member id: 020872767.
  • International Association of Engineers (IAENG), Member id: 133517.
  • Indian Society of Theoretical and Applied Mechanics (ISTAM)-Life member, Member id: L/1178
  • The Indian Science Congress Association-Life member, Member id: L38187.
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