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Connecting the dots between Mathematics and Physics of the hydrodynamic instability known as Viscous Fingering (VF)

DST, Government of India, sanctioned a total outlay of Rs.14.63 lakhs to Dr Tapan Kumar Hota, Assistant Professor, Department of Mathematics, SRM University-AP, Andhra Pradesh, for pursuing research on “Mathematical analysis and Adjoint Based Stability for a Coupled Convection-Diffusion equation in Miscible Displacement”. Hydrodynamic Stability (Instability) is a study of an equilibrium point subject to small and/or medium disturbances. This assists in understanding several complicated natural phenomena such as fluid transition from laminar to turbulent, chemical mixing, formation of cloud, and others. The available stability analysis is unable to address the early-time evolution of the VF process. The early-time behaviour of the system helps us to choose the parameters that are responsible for the long-time behaviour of the coupled PDEs. To achieve the target, we need to address the linear stability of the system from the study of the singular-value-decomposition instead of traditional eigenvalue analysis. As the system is non-autonomous, the eigenvectors/eigenvalues may not be physically relevant. Further, it is required to confirm our linear stability analysis by mathematical analysis of the coupled non-linear PDEs.

‘The nonmonotonic viscosity profile when a high mobile fluid is displacing a less mobile fluid. There is a potentially unstable region, where the viscosity increases in the flow direction, followed in the downstream direction by a potentially stable region, where the viscosity decreases in the flow direction. The disturbance structure is computed using the singular-value decomposition of the propagator matrix. Reference: Hota & Mishra, Journal of Fluid Mech, Vol. 856, pp:552-579, 2018.’

Dr Tapan is keen on studying other branches of science to provide the correct mathematical approach to address the issues. His project will address one of the hydrodynamic instabilities known as viscous fingering (VF). It forms when a high mobile fluid displaces a low mobile fluid. It has enormous implications in the field of Chemical Engineering Science, Petroleum Engineering, Chromatography, and Oil Extraction process. He explains, “I will study this instability from a mathematician’s point of view, more precisely, to address the mathematical analysis of coupled partial differential equations (PDEs). The system that governs the VF is non-autonomous and there is no readily available stability analysis that can represent Physics, based on robust mathematical analysis. My aim is to connect the dots between mathematics and physics of the VF.”

Infrastructure and laboratory facilities are crucial to conduct research. Upon receiving approval from a prestigious organization like SERB (Science and Engineering Research Board), Govt. of India, Dr. Tapan is entitled to this unique opportunity to serve the scientific community. He divulges, “The award is not only a recognition to me but also to the SRM University, AP. The University will be more visible in the world of research and can attract more eminent scientists and researchers to make the University their second home.” Quoting Master Oogway, ‘Yesterday is history, Tomorrow is a mystery… Today is a gift, that’s why it is called present.’, Dr Tapan is eager to commence working on his project at the earliest, and looks forward to enjoying the process of accomplishing the task.

Prof A K Sood on “Doing Science Without Borders”: Collaboration and curiosity among researchers will lead to impactful multidisciplinary solutions of the 21st century

The first University Distinguished Lecture on “Doing Science Without Borders” commenced with an inaugural welcome speech by Prof V S Rao, Vice-Chancellor, and Prof D Narayana Rao, Pro-Vice-Chancellor, SRM University-AP, Andhra Pradesh. Prof V S Rao expressed their gratitude to Prof Ajay K Sood for his gracious presence. Prof Narayana Rao emphasized that under the University Distinguished Lecture series, the talks will be delivered by eminent scientists from India and abroad that would be of immense benefit for students and the faculty and researchers. He further mentioned, “Doctors, researchers, engineers and scientists from several fields of knowledge around the world worked together to confront corona outbreak with an unprecedented spirit of collaboration. Also, NEP advocates and emphasizes that the societal need of the 21st century require broad-based multidisciplinary research and education”.

Prof Ajay K Sood, Fellow of the Royal Society, FRS and Honorary Professor, Indian Institute of Science (IISc), Bengaluru, narrated three stories of his recent experiments and advanced research work, namely “Emergent flocking behaviour seen in nature: Laboratory experiments”, “Crystallization of Glass: Machine Learning in condensed matter Physics”, and “Bacterial Nano Heat Engine: Getting bacteria to work”. He begins by stating that back in 1944, a profound physicist Schrodinger introduced the concept of “aperiodic crystal” which led to the understanding of genetic molecules, enunciating the importance of inter-disciplinary applications of scientific works. In his first narrative, he speaks of the flocking movement among birds, bacteria, locusts, and human beings as well. He brought the same experiment in his laboratory where he used 2 particles, energized them, and identified their flocking pattern. He observed that the velocity of movement between the two particles differ, which can be applied to particle sorting. This experiment has applications in biology, where bacteria and/or cells can be sorted and separated and also in autonomous cars.

While explaining his second experiment, Prof A K Sood mentioned that he studied the devitrification or the tendency of glass particles to crystallize over time to reach a state of stability from its metastable state. He used supervised Machine Learning to predict where crystallization will occur in glass. His team trained the system to identify the hard and soft particles of the glass. His experiments concluded that Machine Learning (ML) helps in identifying the soft particles, which possess the tendency to move and crystallize over a long period of time. Further, Prof A K Sood and his team of collaborators developed bacterial nano heat engines by mimicking the biological motors in our body which produces energy for living beings to function. Using bacterial activity, they made heat engines and are advancing their research work to recognize the practical applications of the nano heat engines in cars, batteries. The bacteria heat engines is a highly promising technology of the future.

Prof A K Sood narrated his laboratory stories to explicate the splendor of multidisciplinary research which can be used to solve basic problems. He said, “The key to successful scientific research is to collaborate with experts beyond their own domain. Communication and appreciation of views of an open mind enable the scientists to understand the various phenomena. Students and researchers should be curious which will lead to research having various interdisciplinary applications that will make an impact across various domains.”

About thousand participants from IISc,IITs, NITs,IIITs, IISERs, several Indian Universities including University of Hyderabad, Delhi University, NEHU, Pondicherry University, Punjab University; a few foreign Universities including KAUST, Saudi Arabia, Nagoya University, Japan, Zhejiang Ocean University, China, Teesside University, UK, several Engineering Colleges; National Laboratories of DST, DBT, CSIR, ISRO, DRDO, ICMR, BARC, JNCASR, ARIES, ARCI; industries including ARBL, Tata Steel have attended the distinguished lecture given by Prof Ajay Sood.

Utilizing photosynthetic microalgae to produce renewable biofuel

Dr Imran Y Pancha, Assistant Professor, Department of Biological Sciences, SRM University-AP, Andhra Pradesh has received an outstanding total outlay of Rs.27 lakhs from the DST, Government of India, to work on “Chemical modulator based microalgal biorefinery for the production of biofuels and bioproducts”. Dr Imran was fascinated by the potential of microalgae to reduce greenhouse gases (GHGs) as well as its ability to accumulate a high amount of energy reserved molecules such as lipids/starch in the cells. Through his research, Dr Imran will be understanding the mechanism behind this and also, exploit microalgae for biofuel production.

Due to the development of industrialization and modernization, global energy demand is continuously increasing. Given that the fossil fuel energy reserve is limited, and its utilization causes various serious environmental issues such as global warming and the accumulation of GHGs in the atmosphere, renewable energy obtained from various biomass is a potential alternative to reduce atmospheric GHGs and the dependency on fossil-based fuel. Microalgae is one of the promising resources among various biomass since it has a high growth rate and photosynthetic ability in comparison to other terrestrial crop plants. Microalgae also accumulate a high amount of lipids and carbohydrates in the cell. Moreover, these microalgae can be cultivated in wastewater or seawater, which avoids the food versus fuel debate.

Dr Imran explains, “Microalgae usually accumulate lipid under stress conditions such as nitrogen starvation, which results in lower biomass production, limiting the commercialization of algal biofuel. The present research’s primary objective is to uncouple growth and lipid production pathway in the microalgae using chemical modulators. Utilization of such chemicals is also effortless in large scale production compared to the standard starvation approach. The next aim is to develop a process to extract multiple products such as pigments, lipids, and carbohydrates from single microalgal biomass. The development of such a biorefinery approach will lower the overall cost of the process and make it more economical on a large scale. To conclude, the focus of the project will be on utilizing photosynthetic microalgae to produce renewable biofuel and other commercially important products in a biorefinery manner. Utilization of microalgae will not only help to produce green fuel but also help in reducing atmospheric carbon dioxide (CO2) which creates several environmental issues.”

Using the SERB-SRG grant, microalgal cultivation facility will be established at SRM university-AP. The long-term goal of Dr Imran’s research group is to understand the molecular mechanism behind the accumulation of energy reserved molecules in the microalgae. Understanding such mechanisms will help to develop sustainable technology for the production of renewable biofuels from microalgae.

PayPal recruits Sai Rishvanth Katragadda

Sai Rishvanth Katragadda, Final year, Department of Computer Science and Engineering, SRM University-AP, Andhra Pradesh shone in the recruitment drive conducted for the first outgoing batch of the university. Sai Rishvanth got selected by the recruiters of PayPal who offered the brilliant student a package of 24 LPA for the position of Software Engineer. PayPal is a reputed company that provides a worldwide online payment system, online money transfers, and serves as an electronic alternative to traditional paper methods.

Sai Rishvanth has consistently exhibited his mettle in academics and has been scoring excellently in all the examinations conducted by SRM AP. He was also selected by the university to visit the University of California, Berkeley for the Semester Abroad Programme. In addition, he grabbed the opportunities presented by SRM AP and worked on projects where he developed applications to provide solutions in the domain of travel, predictive data analysis, crowdfunding, crypto-token, and environment.

Guided by the faculty, and founders of the student-run Next Tech Lab at SRM AP, Sai Rishvanth participated in innumerable national and international hackathons to win several accolades and awards. Further, the student at an immensely young age received the opportunity to present papers in international conferences and publish his paper in the esteemed journal Springer Journal for Engineering and Sciences.

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