Faculty Profile

About

Currently working as an Assistant Professor of Mathematics at BMS College of Engineering, Bengaluru, with a Ph.D. in Applied Mathematics. My academic goal is to contribute effectively to teaching, research, and student mentoring in the field of applied mathematics. I am committed to strengthening students’ conceptual foundations in mathematics while motivating them to appreciate its role in solving real-world engineering problems. I aim to integrate research-oriented thinking into teaching and encourage students to engage in analytical reasoning and problem-solving. My research ambition is to advance the theoretical and practical understanding of fluid mechanics, heat and mass transfer, and hydrodynamic stability, particularly in the context of complex fluids, magnetohydrodynamics, porous media flows, and convection problems. I aspire to develop high-quality research that bridges mathematical theory and engineering applications, contributes to reputed international journals, and supports collaborative and interdisciplinary work. Through sustained research, effective teaching, and academic service, I seek to contribute meaningfully to institutional growth, knowledge dissemination, and the training of future engineers and researchers.

Education

• Doctor of Philosophy (Ph.D.) - Applied Sciences (Mathematics)
  Visveswaraya Technological University
  Passed Year: 2026 | Program Type: FullTime
• Master of Science (M.Sc) - Mathematics
  Bengaluru City University
  Passed Year: 2020 | Program Type: FullTime
• Bachelor of Science (B.Sc) - Computer Science
  Bengaluru University
  Passed Year: 2018 | Program Type: FullTime

Selected Publications

• Journal | Published On : 01-01-2026
  Shivaraj D. L.
  D. L. Shivaraj, 2025. "Stability of mixed convection in a vertical layer of Navier-Stokes-Voigt fluid under a uniform magnetic field". Physics of Fluids Volume 169, Part E, 109923, ISSN 0735-1933. https://doi.org/10.1016/j.icheatmasstransfer.2025.109923 (Elsevier Q1)
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• Journal | Published On : 31-10-2025
  Shivaraj D. L.
  D. L. Shivaraj, 2025. "Stability of Natural Convection in a Vertical Porous Layer of Viscoelastic Navier-Stokes-Voigt Fluid," ASME Journal of Heat and Mass Transfer. https://doi.org/10.1115/1.4069013 (ASME Q2)
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• Journal | Published On : 30-09-2025
  Shivaraj D. L.
  D. L. Shivaraj. 2025. "Modal and non-modal instabilities of a two-dimensional channel flow subject to wall slip and transverse magnetic field." ASME Journal of Fluids Engineering. https://doi.org/10.1115/1.4068134 (ASME Q2)
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• Journal | Published On : 30-04-2025
  Shivaraj D. L.
  D. L. Shivaraj 2025. "Modal and non-modal linear stability analysis of plane channel flow through a Darcy-Brinkman porous medium with symmetric and asymmetric slippery walls." International Journal of Non-Linear Mechanics 171: 105015. https://doi.org/10.1016/j.ijnonlinmec.2025.105015 (ELSEVIER Q1)
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• Book Chapter or Books | Published On : 01-01-2025
  Shivaraj D. L.
  D. L. Geetha and D. L. Shivaraj, “Stability of Plane Poiseuille Channel Flow of a Classical Newtonian Fluid in the Presence of Uniform Transverse Magnetic Field: Modal and Non-modal Approach,” in Innovative Solutions: A Systematic Approach Towards Sustainable Future, 1st ed., BP International, 2025, ch. 33, pp. 317–331. https://doi.org/10.9734/bpi/mono/978-93-49238-47-3/CH33 (BP International (BookPi) Book Chapter)
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• Journal | Published On : 31-12-2024
  Shivaraj D. L.
  D. L. Shivaraj Kumar., and M. S. Basavaraj. 2024. "Linear stability analysis of the viscoelastic Navier–Stokes–Voigt fluid model through Brinkman porous media: Modal and non-modal approaches." International Journal of Non-Linear Mechanics 167: 104885. https://doi.org/10.1016/j.ijnonlinmec.2024.104885 (ELSEVIER Q1)
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• Journal | Published On : 31-12-2024
  Shivaraj D. L.
  D. L. Shivaraj Kumar., and M. S. Basavaraj. 2024. "Stability patterns in plane porous Poiseuille flow with uniform vertical crossflow: A dual approach." International Journal of Non-Linear Mechanics 165: 104797. https://doi.org/10.1016/j.ijnonlinmec.2024.104797 (ELSEVIER Q1)
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• Journal | Published On : 31-12-2024
  Shivaraj D. L.
  D. L. Shivaraj Kumar., and M. S. Basavaraj. 2024. "Optimal transient energy growth of two-dimensional perturbation in a magnetohydrodynamic plane Poiseuille flow of Casson fluid." ASME Journal of Fluids Engineering 146, no. 2: 021304. https://doi.org/10.1115/1.4063117 (ASME Q2)
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• Journal | Published On : 30-04-2024
  Shivaraj D. L.
  D. L. Shivaraj Kumar., and M. S. Basavaraj. 2024. "Algebraic growth of 2D optimal perturbation of a plane Poiseuille flow in a Brinkman porous medium." Mathematics and Computers in Simulation 218: 526–543. https://doi.org/10.1016/j.matcom.2023.11.025 (ELSEVIER Q1)
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• Journal | Published On : 01-04-2024
  Shivaraj D. L.
  D. L. Shivaraj Kumar., and M. S. Basavaraj. 2024. "Dual analysis of stability in plane Poiseuille channel flow with uniform vertical crossflow." Physics of Fluids 36, no. 3: 034106. https://doi.org/10.1063/5.0191925 (PHYSICS OF FLUIDS Q1)
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• Journal | Published On : 31-12-2023
  Shivaraj D. L.
  D. L. Shivaraj, M. S. Basavaraj, and N. Kavitha, "The onset of instability in a magnetohydrodynamic channel flow through porous media of Casson fluid," Journal of Mines, Metals and Fuels, Dec. 2023. https://doi.org/10.18311/jmmf/2023/35789 (INSIO Scientific Books and Periodicals Q4 (also referred to as Informatics Publishing Limited or Books and Journals Private Ltd.)
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Other Information

Google Scholar ID: - https://scholar.google.com/citations?user=g8PrBnkAAAAJ&hl=en
Orchid ID: - (0000-0001-7906-0951), https://orcid.org/0000-0001-7906-0951
Research Gate ID: - https://www.researchgate.net/profile/D-L-Shivaraj-2?ev=hdr_xprf
Scopus ID: - (57220768610) (https://www.scopus.com/authid/detail.uri?authorId=57220768610)
Web of Science ID: - (NPI-4178-2025) (https://www.webofscience.com/wos/author/record/NPI-4178-2025)

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