“My vision for SRM AP is an inter-disciplinary environment that stimulates active, engaged learning and cutting edge research. We challenge our students to think critically and creatively, communicate clearly, and develop into thoughtful global citizens and leaders. Learning through discovery and interaction is more powerful and enduring than listening passively to lectures. We seek to equip our students with the cognitive tools to adapt to and seize opportunities offered by a rapidly changing world. Most of all, we stand apart with a network of associations with esteemed institutions around the world, so that students and make their mark in a connected world.”
Indian Institute of Science, Bangalore India MS (Research)
Indian Institute of Technology Ropar Punjab Ph.D.
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
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
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).