19 janvier 2023

Webinar Manoranjan Mishra

Dr. Manoranjan Mishra is a professor at the Department of Mathematics and Dean of Faculty Affairs and Administration at IIT Ropar, INDIA. He obtained his Ph. D from the Indian Institute of Science (IISc), Bangalore, in 2004. He did post-docs at the Institute Non-linear de Nice, University of Nice Sophia Antipolis, France, in 2005-2006, Postdocs at Université Libre de Bruxelles, Brussels, during 2006-2007. He was a recipient of the Humboldt fellowship from Alexander von Humboldt Foundation (AvH), Germany, during 2007-2008 and worked at University of Erlangen-Nurnberg, Germany, FRS-FNRS fellowship from Fonds de la Recherche Scientifique, Belgium, in 2008-2009 and worked at Université Libre de Bruxelles, Brussels. He received the JSPS (Japan Society of Promotional Science) Invitation Fellowship in 2015 and 2019, worked at Tokyo University of Agriculture and Technology, Tokyo. He is also Recipient of the Frontier Award of The Division of Fluid-Particle Processing of the Society of Chemical Engineers of Japan (2021). Dr. Mishra Worked as a visiting researcher at several international universities like ESPCI Paris Tech, France (2014), Tokyo University of Agriculture and Technology, Japan (2015, 2017, 2019), and National Chiao Tung University, Taiwan (2019). He is continuing as an Honorary Professor at the Institute of Global Innovation Research, Tokyo University of Agriculture and Technology, Tokyo, Japan. He is an elected fellow of the National Academy of Science, India (2021). His research area is Fluid Dynamics and Scientific Computing. He has published about 70 Research Papers in Journals (including Phys. Rev Letters, J. Fluid Mechanics, Phys Rev Fluids, Phys. Fluids, Phys. Rev E etc), 110+ conference presentations, and has h-Index 21, i10 Index-34.
Chemical Reaction-Induced Hydrodynamic Instabilities

Abstract: The study of hydrodynamic instabilities in a stratified flow has gained significant attention in the scientific community for its applications in industries and environments [1, 2, 3]. Viscous fingering(VF) instability occurs when a less viscous fluid tries to push a more viscous one in the porous media or Hele-Shaw cell, where the flow equations are expressed by a simple empirical rule known as Darcy’s law. Far from Darcy’s flow regime, i.e., in a pressure-driven flow governed by the Navier-Stokes equations, if fluid flows in a channel uniformly in the vertical direction for a long time, the flow reaches a steady state with a fully developed parabolic velocity profile. Moreover, with this velocity profile that has a shear or a vertical gradient, if a less viscous fluid pushes a more viscous one, Kelvin-Helmholtz-type Instability (KHI) is encountered alongside the pure diffusive miscible VF [3]. Such KHI is found when a reactant A displaces another reactant fluid having the same viscosity following a simple A+ B→C reaction kinetics [4]. The governing equations become a set of coupled non-linear PDEs, which are solved using a diffuse interface finite volume method. Depending upon the product’s viscosity, K-H billows occur at either A-C or C-B reaction front [4]. The detailed modeling phenomena in comparison to the corresponding Darcy’s regime VF [6,7] will be discussed in this seminar.

REFERENCES
[1] G. M. Homsy. Ann. Rev. Fluid Mech. 19, 271, 1987.
[2] A. Juel., D. Pihler-Puzovic, M. Heil. Ann. Rev. Fluid Mech. 50, 691-714, 2018.
[3] J. R. Landel and D. I. Wilson. Ann. Rev. Fluid Mech. 53, 147-171, 2020.
[4] S. N. Maharana and M. Mishra. J. Fluid Mech. 925, A3, 2021.
[5] S. N. Maharana and M. Mishra. Phys. Fluids 34, pp. 012104, 2022.
[6] V. Sharma et. al J. Fluid Mech. (2019), vol. 862, pp. 624-638.
[7] P. Verma, V. Sharma and M. Mishra J. Fluid Mech. (2022), vol. 945, A19.

19 janvier 2023, 16h3017h30
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