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S.Shankar Narayan

M.Sc,Mathematics (Pursuing Ph.D)

E-mail ID: shankar.n@cmrit.ac.in

Areas of Interest in Teaching

Engineering Mathematics, Discrete Mathematics, Graph theory, Complex Alanysis

Areas of Interest in Research

Bio-fluids, involved in research on Mathematical modeling of Human Cardiovascular system.


Recent Publications:

  1. Udupa, M., Shankar Narayan, S., Saha, S. (2021). A Study of the Blood Flow Using Newtonian and Non-Newtonian Approach in a Stenosed Artery. In: Singh, P., Gupta, R.K., Ray, K., Bandyopadhyay, A. (eds) Proceedings of International Conference on Trends in Computational and Cognitive Engineering. Advances in Intelligent Systems and Computing, vol 1169. Springer, Singapore. https://doi.org/10.1007/978-981-15-5414-8_21

  2. Patani Rucha Sharadkumar and S Shankar Narayan (2021). Comparative analysis between theoretical and simulatory learning methods by data science methodology approach, J. Phys.: Conf. Ser. 1767 012027

  3. K.H. Raveesha, S. Shankar Narayan, Sunrose Shrestha, Exploring the concept of circulation in fluids and electromagnetic materials using Stokes’ theorem through diagrams, Materials Today: Proceedings, Volume 47, Part 14, 2021, Pages 4206-4209, ISSN 2214-7853, https://doi.org/10.1016/j.matpr.2021.04.459.

  4. S Shankar Narayan, KH Raveesha, Role of refractive index, a material property, in the formation of rainbows, diffraction, and inference fringes, Materials Today: Proceedings, Volume 47, Part 14, 2021, Pages 4249-4254, ISSN 2214-7853, https://doi.org/10.1016/j.matpr.2021.04.544.

  5. S. Shankar Narayan, Nidhi S. Vaishnaw, The disquisition of materialistic properties of tumor cells using a continuum model, Materials Today: Proceedings, Volume 47, Part 14, 2021, Pages 4444-4448, ISSN 2214-7853, https://doi.org/10.1016/j.matpr.2021.05.305.

  6. Shankar Narayan S, Sunanda Saha, Time-dependent study of blood flow in an aneurysmic stenosed coronary artery with inelastic walls, Materials Today: Proceedings, Volume 47, Part 14, 2021, Pages 4718-4724, ISSN 2214-7853, https://doi.org/10.1016/j.matpr.2021.05.608.

  7. Shankar Narayan S, Sunanda Saha, Anuradha Bhattacharjee, A 2D FSI mathematical model of blood flow to analyze the hyper-viscous effects in atherosclerotic COVID patients, Results in Engineering, Volume 12, 2021, 100275, ISSN 2590-1230, https://doi.org/10.1016/j.rineng.2021.100275.

  8. S. Shankar Narayan and Nidhi S. Vaishnaw, "Mathematical modeling, interpretation, and simulation of tumor dynamics in the presence of CD4 + cells with chemotherapeutic drug intervention", AIP Conference Proceedings 2375, 020029 (2021) https://doi.org/10.1063/5.0066532.

  9. V. Puneeth, Shankar S. Narayan, S. Manjunatha & O. D. Makinde (2021) Numerical simulation of Jeffrey–Hamel flow of nanofluid in the presence of gyrotactic microorganisms, International Journal of Ambient Energy, DOI: 10.1080/01430750.2021.1997812

  10. V Puneeth, Muhammad Ijaz Khan, Shankar S Narayan, Essam Roshdy El-Zahar & Kamel Guedri (2022) The impact of the movement of the gyrotactic microorganisms on the heat and mass transfer characteristics of Casson nanofluid, Waves in Random and Complex Media, DOI: 10.1080/17455030.2022.2055811



PATENTS PUBLISHED:

  1. A LOW COST HANDMADE AC VOLTAGE GENERATOR, RC ID: 2020-Aug-BS-T005, Application number: 202041036321

  2. CASCADE: AN EDUCATIONAL BOARD GAME USING DIFFERENTIATION AND INTEGRATIONRC ID: 2020-Aug-BS-T002Application Number: 202041037969