Assistant Professor

Dr Tapan Kumar Hota 

Department of Mathematics

Interests

  1. Hydrodynamic Stability
  2. Qualitative Analysis of Elliptic-Parabolic PDEs

Faculty Details

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.

Experience

  • PDF(Texas A&M, US)

Research Interest

  • Primarily, I work on interfacial stability occurs due to viscosity and (or) density differences in porous media. These interfacial stabilities involve predict correct mathematical tool to address the linear, non-linear evolution of applied disturbances. The underlying physical phenomenon is analysed using spectral method and finite difference method. Furthermore, the validity of the mathematical analyses is supported by table-top experiments.

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

  • 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.

List of Publications

Journal Publications:

  • Zahid, Syed, Surfarazhussain S. Halkarni, and Tapan Kumar Hota. "Effect of sinusoidal injection velocity on miscible viscous fingering of a finite sample: Nonlinear simulation." Heliyon 9, no. 3 (2023).
  • Hota, Tapan Kumar, and Manoranjan Mishra. "Transient growth and symmetrizability in rectilinear miscible viscous fingering." Journal of Engineering Mathematics 120, no. 1 (2020): 111-128.
  • Hota, Tapan Kumar, and Manoranjan Mishra. "Non-modal stability analysis of miscible viscous fingering with non-monotonic viscosity profiles." Journal of Fluid Mechanics 856 (2018): 552-579.
  • Pramanik, Satyajit, Tapan Kumar Hota, and Manoranjan Mishra. "Influence of viscosity contrast on buoyantly unstable miscible fluids in porous media." Journal of Fluid Mechanics 780 (2015): 388-406.
  • Hota, Tapan Kumar, Satyajit Pramanik, and Manoranjan Mishra. "Onset of fingering instability in a finite slice of adsorbed solute." Physical Review E 92, no. 2 (2015): 023013.
  • Ganguly, Suvankar, Sandip Sarkar, Tapan Kumar Hota, and Manoranjan Mishra. "Thermally developing combined electroosmotic and pressure-driven flow of nanofluids in a microchannel under the effect of magnetic field." Chemical Engineering Science 126 (2015): 10-21.
  • Hota, Tapan Kumar, Satyajit Pramanik, and Manoranjan Mishra. "Nonmodal linear stability analysis of miscible viscous fingering in porous media." Physical Review E 92, no. 5 (2015): 053007.

Referee for Journals:

  • Journal of Fluid Mechanics, Cambridge University Press.
  • Journal of Fluid Mechanics- Rapids, Cambridge University Press.
  • Physics of Fluid, American Institute of Physics.
  • Frontiers in Bioengineering and Biotechnology.

Book chapter Publications:

  • Zahid, Syed, Surfarazhussain S. Halkarni, and Tapan Kumar Hota. "Simulation of time injection strategy for a finite miscible slice in porous media." In Fluid Mechanics and Fluid Power (Vol. 2) Select Proceedings of FMFP 2021, pp. 187-191. Singapore: Springer Nature Singapore, 2023.
  • Hota, Tapan Kumar, Satyajit Pramanik, and Manoranjan Mishra. "A General Approach to the Linear Stability Analysis of Miscible Viscous Fingering in Porous Media." In First Complex Systems Digital Campus World E-Conference 2015, pp. 109-115. Springer International Publishing, 2017.

Conference Proceedings:

  • Zahid, Syed, Surfarazhussain S. Halkarni, and Hota, Tapan Kumar. "Effect of Time-dependent injection velocity on a finite miscible sample in porous media." 66th CONGRESS OF ISTAM, 2022.
  • Hota, Tapan Kumar. “Effects of Viscosity Profiles on Localized Miscible Fluid in a Porous Media”. 64th CONGRESS OF ISTAM, 2020.
  • Pramanik, Satyajit, Hota, Tapan Kumar, and Manoranjan Mishra. "The effect of viscosity variation on the stability of a buoyantly unstable miscible layer in vertical porous media." In APS March Meeting Abstracts, vol. 2016, pp. A53-004. 2016.
  • Hota, Tapan Kumar, and Manoranjan Mishra. "Influence of fluid dispersion on transient behaviors of miscible viscous fingering." In APS Division of Fluid Dynamics Meeting Abstracts, pp. H18-007. 2015.
  • Hota, Tapan Kumar, and Manoranjan Mishra. "Non-modal disturbances growth of miscible viscous fingering in porous media." In APS Division of Fluid Dynamics Meeting Abstracts, pp. L22-005. 2014.

Invited Talks:

  • Department of Mathematics University of Concepcion, Chile on 1st October 2021 (YouTube Link: https://youtu.be/EQ_A47MArsI ).
  • Online Faculty Development Programme (FDP) on “Software Tools for Academicians” for Mathematics, Physics and Computer Science teachers from 13th December 2021 to 18th December 2021 under HRDC programme, F. M. University, Balasore, Odisha.
  • International Workshop on Mathematical and Computational Methods in Science and Engineering, June 02—13, 2023, IIT Ropar, Punjab.
  • Online Applied Mathematics symposium on the topic "Artificial Intelligence meets Fluid Dynamics" on 7th July 2023 (Friday), jointly organized by VIT Vellore, IIT Hyderabad, and IIT Guwahati (web link: https://iitg.ac.in/satyajitp/ams-aifd.php)

External Funding:

  • Start-up Research Grant of Science and Engineering Research Board (SERB), Government of India for 2020-2022 (Completed in April 2023).

Contact Details

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