Research Interests (Free Surface Problems, Fluid Drop and Jet Breakup, Boundary Layers in Viscoelastic Fluids)

My research interests are primarily focused on the free surface flow problems arising in engineering applications. The focus of my research work is in the study of fluid jets & drop breakup problems. The study of surface tension driven breakup of a liquid jet is of fundamental importance in fluid mechanics and arise in many applications including ink-jet printing, fiber drawing and fuel injection processes. Focal point of my work is to develop a mathematical models of the breakup phenomena. Using long wave asymptotic analysis and slender body theory, I developed a simplified  mathematical model which predicts the behavior of the complex phenomenon of pinching. The model suggests that the presence of Surfactants (surface-active-agents) can significantly slow down the breakup process. The predictions of this model are in good agreement with the experimental results. The details of our work is under consideration for publication in the Journal of Fluid Mechanics.

I am also working with Professor Jeff. Morris on a  project which involves experimental and theoretical study of the breakup of particle-laden jets. During necking, particles in the thread resist its further thinning, and depending on the volume fraction of particles, this resistance can have either destabilizing or stabilizing effect of the filament as compared to the case of pure fluid. There have been very few attempts focusing on the mathematical and numerical modeling of the necking phenomenon in drops and jets with solid particles. We have a developed a mathematical model, using slender body approximations and representing a particle by a singularity. Our model captures the phenomena of jet breakup with containing particles on its axis of symmetry. The results of this simulations are in good agreement with experiments.

Another area of interest in my research is non-Newtonian Fluid Mechanics. The study of non-Newtonian fluids is of great importance from industrial prospective. Viscoelastic flows arise in many important processes in engineering, science and biology because most of the industrial and biological fluids are non-Newtonian in nature, yet less work has been done on the study of these fluids due to the nature of non-linear and complex model equations. Modeling viscoelastic flows is very important for understanding and predicting the behavior of the industrial process and thus helping the engineers to design a optimal flow configurations.  I have been studying boundary layer formation in non-Newtonian fluids. The presence of  magnetic field can have a significant influence on the flow. We considered problems in which we studied the combined effect of magnetic field along with porosity of the plates and studied the problem in detail.

Simulation  Movies of Jet Breakup:


Experimental Movies of Jet Breakup:


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