Articles
Articles
L. Negrojević, S. N. Maharana, and A. De Wit, Curvature-induced diffusive instabilities of an autocatalytic front (Submitted).
S. N. Maharana, L. Negrojević, A. Comolli, and A. De Wit, Radially-Locked Sun-Ray Patterns in Autocatalytic Reaction-Diffusion-Advection Systems (Under review with Phys. Rev. Lett., Very positive comments received) https://arxiv.org/abs/2508.00329.
S. Kundu, S. N. Maharana, and M. Mishra, Well-posedness and Fingering Patterns in A+B->C Reactive Porous Media Flow (under review with Commun. Nonlinear Sci. Numer. Simul.) https://arxiv.org/abs/2505.17943📝.
P. Banga, S. N. Maharana, and M. Mishra, Instability Onset and Energy Growth in Two-Layer Miscible Channel Flows: Insights via Initial Value Problem, Phys. Rev. Fluids, 2025, 10, 084002, https://journals.aps.org/prfluids/abstract/10.1103/xs31-glfs📝
S. N. Maharana, M. Mishra, L. Rongy, and A. De Wit, Shear Dynamics around Self-Organized Viscosity-Stratified Autocatalytic Fronts in Channel Flows, Proc. R. Soc. A, 2025, 489 (2312), 20240891, DOI: https://doi.org/10.1098/rspa.2024.0891📝.
S. N. Maharana, and M. Mishra, Dynamics of Shear Instability in A+B->C Reactive Flow Yielding High-Viscosity Products, Int. J. Multiph. Flow, 186, 105132, 2025, DOI: https://doi.org/10.1016/j.ijmultiphaseflow.2025.105132. 📝
S. Kundu, S. N. Maharana, and M. Mishra, Existence and Uniqueness of Solution to Unsteady Darcy-Brinkman Problem with Korteweg Stress for Modelling Miscible Porous Media Flow, J. Math. Anal. Appl.,539,2,128532,2024, DOI: https://doi.org/10.1016/j.jmaa.2024.128532 📝
P. Banga, S. N. Maharana, and M. Mishra, Unraveling instabilities and mixing behavior in two-layered flows: A quest for the optimum viscosity ratio, Phys. Fluids, 35, 082116, 2023, DOI: https://doi.org/10.1063/5.0164830 📝
S. N. Maharana, K. C. Sahu, and M. Mishra, Stability of two-layer reactive channel flow, Proc. R. Soc. A, 479:2271, 2023, DOI: https://doi.org/10.1098/rspa.2022.0689. 📝
S. N. Maharana, K. C. Sahu, and M. Mishra, Reaction-induced Kelvin-Helmholtz Instability in a Layered Channel Flow, J. Fluid Mech., 955: A36, 2023, DOI:https://doi.org/10.1017/jfm.2022.1061 📝
S. N. Maharana, and M. Mishra, Effects of low and high viscous product on the reaction induced Kelvin-Helmholtz instability, Phys. Fluids, 34:012104, 2022, DOI: https://doi.org/10.1063/5.0078776. 📝
S. N. Maharana, and M. Mishra, Reaction-induced interfacial instability of miscible fluids in a channel, J. Fluid Mech., 925: A13, 2021, DOI: https://doi.org/10.1017/jfm.2021.630. 📝
S. K. Bishoi and S. N. Maharana, Xorshift Random Number Generators From Primitive Polynomials, Theoretical and Applied Informatics, 29: 1-2, 1–13, 2017, DOI: 10.20904/291-2001. 📝
Conference Abstract/Proceedings
S. N. Maharana, L. Rongy, and A. De Wit, Impact of product settling on Rayleigh-Taylor instability around A+B->C reaction fronts, 2nd European Fluid Dynamics Conference (EFDC2), August 26-29, 2025, Dublin, Ireland.
S. N. Maharana, M. Mishra, L. Rongy, and A. De Wit, Linear and Nonlinear Analyses of Shear Instabilities Around Travelling Autocatalytics Fronts In a Channel, 3rd Joint SIAM/CAIMS Annual Meetings (AN25), July 28 - August 01, 2025, Montreal, Canada (Accepted).
S. Kundu, S. N. Maharana, and M. Mishra, Well-posedness of the Reactive Flow in Heterogenous Porous Medium, The 14th AIMS Conference, 16-20 December, 2024, Abu Dhabi, UAE
P. Banga, S. N. Maharana, and M. Mishra, Effect of Viscosity Ratio on Shear Instabilities in Displacement Channel Flows, ComFLu-2024, 16-18 December, 2024, IIT Hyderabad, India
L. Negrojević, S. N. Maharana and A. De Wit, Curvature Amplified diffusion Instability of a Reaction-Diffusion Autocatalytic Front- An Experimental Study, Physical Chemistry-2024, 2024, September 23-27, Belgrade, Serbia.
S. N. Maharana, M. Mishra, L. Rongy and A. De Wit, Shear Instabilities Triggered By Autocatalytics Fronts Travelling In Vuscoisty Stratified Channel Flows, 1st European Fluid Dynamics Conference (EFDC1), 2024, September 16-20, Aachen, Germany.
P. Banga, S. N. Maharana, and M. Mishra, Optimum Viscosity Ratio for Enhanced Shear Instability in Miscible Two-Layer Flow, Inteenation Congress of Theoretical and Applied Mechanics (ICTAM), August 25-30, 2024, Daegu, Korea.
P. Banga, S. N. Maharana, and M. Mishra, Optimum Viscosity Ratio for Enhanced Instability and Mixing in Layered Channel Flows, Bifurcations and Instabilities in Fluid Dynamics (BIFD) 2024, June 24-28, 2024, University of Edinburgh, Edinburgh, UK.
S. Kundu, S. N. Maharana, and M. Mishra, Miscible Flows in Heterogeneous Porous Media Based On Darcy-Stokes-Brinkman Model: Existence and Uniqueness. 89th Annual Conference of the Indian Mathematical Society, December 22-25, BITS Pilani, Hyderabad, India.
S. N. Maharana, A. Comolli, L. Negrojević , F. Brau and A. De Wit, Transverse instability of autocatalytic fronts in radial injection, 76th Annual Meeting of the APS Division of Fluid Dynamics (APS-DFD), November 19-21, 2023, Washington DC, USA .
M. Mishra and S. N. Maharana, Chemo-Hydrodynamic Kelvin-Helmholtz Instability, 76th Annual Meeting of the APS Division of Fluid Dynamics (APS-DFD), November 19-21, 2023, Washington DC, USA.
S. N. Maharana and M. Mishra, A WENO-Based Scheme for Simulating Miscible Viscous-Fingering Instability in Highly Convection-Dominated Regimes. 10th International Congress for Industrial and Applied Mathematics (ICIAM2023), August 20-25, 2023, Tokyo, Japan.
S. Kundu, S. N. Maharana, and M. Mishra, Miscible Flows Based On Darcy-Stokes-Brinkman Model: Existence and Uniqueness. 10th International Congress for Industrial and Applied Mathematics (ICIAM2023), August 20-25, 2023, Tokyo, Japan.
M. Mishra and S. N. Maharana, Stability modulation by a reaction in Navier-Stokes flow. 10th International Congress for Industrial and Applied Mathematics (ICIAM2023), August 20-25, 2023, Tokyo, Japan.
S. N. Maharana and M. Mishra, Reacton-Induced Kelvin-Helmhotz Roll-ups, 22nd Computational Fluid Mechanics Conference (CFC2023), April 25-28, 2023, Cannes, France.
S. N. Maharana and M. Mishra, Reaction-induced Kelvin-Helmholtz roll-ups, 75th Annual Meeting of the APS Division of Fluid Dynamics (APS-DFD), November 20-22, 2022, Indianapolis, USA.
Priyanka, S. N. Maharana, and M. Mishra, Non-linear insights to shear instability in two-layer flow, 19th International Conference on Flow Dynamics (ICFD), November 9-11, 2022, Sendai, Miyagi, JAPAN (Accepted).
S. N. Maharana, K. C. Sahu, and M. Mishra, Stability of a reactive layered channel flow. 14th European Fluid Mechanics Conference (EFMC), September 13-16, 2022, Athens, Greece.
S. N. Maharana and M. Mishra, Effects of Chemical Reaction on Interfacial Instability of Miscible Fluid Flow in a Channel, 18th International Conference on Flow Dynamics (ICFD), October 27-29, 2021, Sendai, Miyagi, JAPAN.
S. N. Maharana and M. Mishra, Interfacial instability induced by a type reaction in the channel, 74th Annual Meeting of the APS Division of Fluid Dynamics (APS-DFD), November 21–23, 2021, Phoenix. Arizona, USA.
S. N. Maharana and M. Mishra, A WENO Based Numerical Method for Non-linear Coupled Reaction-Convection-Diffusion System, The Second Joint SIAM CAIMS Annual Meeting (AN20), July 6-10, 2020, co-located with the SIAM Conference on Imaging Science (IS20), Toronto, Ontario, Canada.