Sanghasri Mukhopadhyay

My research interests lie in applied mathematics and the numerical modelling of complex fluid flows, with a particular focus on the hydrodynamics and instabilities of thin films and microfluidic systems. I aim to bridge theoretical analysis and practical implementation, exploring the industrial applications of energy and process engineering through advanced mathematical modelling and simulation of interfacial and microscale flow phenomena.

Selected Journal Publications:

1. Ruyer-Quil C., Mukhopadhyay S., & Usha R, (2025)  Mass and Momentum Transfer at fluid-porous interfaces: Jump Boundary conditions for non-parallel Flows, Journal of Fluid Mechanics (JFM), Vol 1012, A16, doi: 10.1017/jfm.2025.10161
2. Mukhopadhyay S.,  Ruyer-Quil C., & Usha R, (2022),  Modelling falling film flow: An adjustable formulation, Journal of Fluid Mechanics Rapids (JFM Rapids), R3, doi: 10.1017/jfm.2022.901
3. Mukhopadhyay S., Cellier N., Usha R, Chhay M., &  Ruyer-Quil C., (2022) Falling film on an anisotropic porous medium, Journal of Fluid Mechanics (JFM), Vol 947, doi: 10.1017/jfm.2022.634
4. Mukhopadhyay S.  & Mukhopadhyay A. (2020), Waves and instabilities of viscoelastic fluid film flowing down an inclined wavy bottom, Physical Review E, Vol. 102, issue 2. doi: 10.1103/PhysRevE.102.023117
5. Mukhopadhyay S.  & Mukhopadhyay A. (2020), Hydrodynamics and instabilities of falling liquid film over a non-uniformly heated inclined wavy bottom, Physics of Fluids: Vol. 32, issue 7. doi: 10.1063/5.0010461

For the full publication list, please visit the Google Scholar page or ORCID 0000-0001-5360-1190 

Selected Conference Proceedings:

1. Vaishnav P., Das D. and Mukhopadhyay S., (2024), Impact of limited internet connectivity on online learning outcome of students, 5th International Conference on Innovative Trends in Information Technology (ICITIIT), IEEE Explore, doi: 10.1109/ICITIIT61487.2024.10580570
2. Mukhopadhyay S., and Ruyer-Quil C. (2017), Transitional falling Films, 23rd Congres Francais de Mecanique, Lille, France, AFM.
3. Mukhopadhyay S., Chhay M. and Ruyer-Quil C. (2017), Modelling a Transitional Falling Liquid Films, 70th Annual Meeting of the APS Division of Fluid Dynamics, Denver, Colorado, USA.
4. Mukhopadhyay S., Usha R., and Ruyer-Quil C. (2018), Linear Stability of a Falling Film down an Anisotropic Porous Medium, 12th European Fluid Mechanics Conference, TU Wien, Vienna, Austria.
5. Mukhopadhyay S. & Ruyer-Quil C. (2018), Transitional films, International Conference on Mathematics and its Applications, Department of Mathematics, University of Burdwan, West Bengal, India.

Selected Invited / Guest lectures

• Department of Artificial Intelligence and Cyber Security (SITAICS), Rashtriya Raksha University, India (September 2025)
• Department of Mathematics, VIT Vellore, India (March 2025)
• Department of Mathematics, Christ University, Bangalore, India (March 2024)
• School of Mechanical Engineering, VIT Vellore, India (August 2023)
• Applied Mathematics Symposium: Instability and Flow Transition, IIT Hyderabad & IIT Gauhati, India (November 2022)
• Laboratory Seminar, Kutateladze Institute of Thermophysics of the Siberian Branch of the Russian Academy of Sciences, Russia (February 2022)
• Department of Mathematics, IIT Gandhinagar, India (January 2022)
• GDR Transinter, Aussois, France. (June 2021)
• GDR Films, Aussois, France. (December 2017)
• LAMA, USMB, Chambery, France. (March 2017)
• GDR Films, Aussois, France. (December 2016)

Journal Reviewer

    • Journal of Fluid Mechanics: Cambridge Core
    • Physics of Fluids, Publisher: AIP
    • SN Applied Sciences, Publisher: Springer-Verlag
    • Journal of Engineering Mathematics, Publisher: Springer
    • Journal of Physics A, Publisher: IOP
    • Physica Scripta, Publisher: IOP

IIIT Bangalore:

• Linear Algebra (CSE104)

VIT Vellore: 

• Complex Variables and Partial Differential Equations (MAT3003)

• Applied Linear Algebra (MAT3004)

• Calculus (BMAT101L & BMAT101P)

• Calculus for Engineers (MAT1011)

• Matrix Theory and Linear Algebra (MAT5011)

• Complex Variables and Linear Algebra (BMAT201L)

• Differential Equations and Transforms (BMAT102L)

• Probability and Statistics (BMAT202L)

1. Modulating the stability of thin liquid films in microfluidics and nanofluidics by electrokinetic mechanisms: A new approach towards lab-on-a-chip flow control, funded by Teachers Associateship for Research Excellence (TARE) by ANRF, Govt. of India, worth 18.3 Lakhs INR, Project No: TAR/2023/000210 (as PI) (2023 - ongoing)
2. Mathematical modelling and hydrodynamics of soap film in reusable face mask — a new approach to pollution control, funded by VIT Seed Grant, VIT Vellore, Worth 2.5 Lakhs INR, grant number- SG20220087 (as PI) (2022 - 2024)
3. Direct numerical simulation of liquid film wave structure in annular-dispersed gas-liquid flows, funded by the Russian Science Foundation under the event "Conducting initiative research by young scientists" (2022) from the Institute of Thermophysics SB RAS, worth 4 million rubles. Project No: 22-79-00258 (as PI) (2022 - surrendered due to socio-economic difficulties).
4. FIST Program – 2023, funded by DST Govt. of India, worth 271 Lakhs INR, Project No: TPN – 89776 (as co-PI with Department of Mathematics, VIT Vellore, India)

We have an opening for a highly motivated PhD student. 

Requirements: Strong knowledge of applied mathematics, particularly in linear algebra, differential equations, dynamic systems (linear and non-linear), mathematical modeling, numerical analysis with computation, and programming skills in any language. Desirable: Basic knowledge of fluid mechanics to be able to handle fluid flow problems.

apply: https://www.iiitb.ac.in/courses/master-of-science-by-researchdoctor-of-philosophy

• Visiting/Mobility Fellowship (CEFIPRA PROWIS-II) under the Indo-French Programme for Women in Science (2024-2025)
• Scientific High-Level Visiting Fellowships (SSHN) program 2024 by the French Institute in India (IFI), Embassy of France in India (2024)
• TARE Fellowship, by the Anusandhan National Research Foundation (ANRF), Government of India (2024)
• VIT Research Award 2022 by VIT Vellore, India (2023)
• Winners of the 2022 Russian Science Foundation competitions (2022)
• Doctoral fellowship by French Ministry of Higher Education (2016-2019)
• 3 months mobility programme to another laboratory during PhD (Jan 2018 - April 2018) covered by Soutien aux Coopérations Universitaires et Scientifiques Internationales, by La Région Auvergne - Rhône-Alpes, France (2018)
• Travel subsidy grant by the Division of Fluid Dynamics (DFD) of the American Physical Society (APS) to attend the conference (Nov 2017)
• SAU Gold Madel for University topper in Masters of Applied Mathematics from South Asian University, New Delhi (2016)
• INSPIRE Scholarship by Department of Science & Technology, Government of India (2011-2016)