Jason R. Picardo
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picardo@iitb.ac.in
Education
Courses
Fall 2020, Fall 2021, Fall 2022
Spring 2020, Spring 2021, Spring 2022
Fall 2023, Fall 2024
Spring 2024
Research
Instabilities and Pattern Formation
Most flows and transport processes encountered in nature and industry are nonlinear and give rise to spatio-temporal patterned states, e.g., wave-trains on the surface of flowing water, or droplets arrayed along a thin rod. Understanding these patterns is important—even if one were immune to their beauty—because of the significant impact that self-organized structures have on heat/mass transport rates and mechanical forces. We use mathematical theory and computer simulations to understand how such patterns arise and how to manipulate them.
Turbulent Transport
Turbulent flows are ubiquitous and play an essential role in a wide range of scientific problems: From the transport of oil in pipelines to the production of chemicals in stirred tank reactors. A specific focus of our work is on understanding how objects suspended in a turbulent flow behave under the action of fluctuating fluid forces. For example, the stretching of dissolved polymers modifies the large-scale flow and ends up significantly reducing energy losses. In nature, plankton that are mechanically stimulated by the turbulence near a ship light up the ocean.
Mathematical Modelling
We are broadly interested in modelling systems that involve transport phenomena across multiple scales. We use simple models capable of elucidating general principles and use techniques of applied mathematics, such as perturbation theory and slow-manifold order-reduction, to gain mechanistic insight. The value of such an approach in engineering is best exemplified by the writings and work of Rutherford Aris.
Research Areas
Sub Areas
- Turbulence
Awards & Honors
Selected Publications
https://arxiv.org/abs/2505.09740