Academic Identity

Scopus ID: 57996420700

Orcid ID: 0000-0002-3832-935X

Google Scholar: PhEtymUAAAAJ

Vidwan ID: 474079 

Areas of interest in Teaching

• Transform Calculus, Fourier Series and Numerical Techniques

• Complex Analysis, Probability and Linear Programming

• Markov Chain, Statistical Inference and Design of Experiments and Anova

• Discrete Mathematical Structures

Qualification

• Ph.D., Applied Mathematics (Fluid Dynamics) 

• M.Sc., Mathematics

• B.Sc.,  Physics, Mathematics, Computer Science

Areas of interest in Research

• Heat Transfer

• Ferroconvection

• Electroconvection

• Modulation

Publications

1. Balaji C., Maruthamanikandan S., Rudresha C.,  Vidya Shree V.,  (2025). The onset of the Darcy-ferroconvection flow model in a couple stress fluid subjected to a time-periodic magnetic field, Computer Research and Modeling,  Vol. 17,  No. 2, pp. 213–223. DOI: 10.20537/2076-7633-2025-17-2-213-223 

2. Balaji C., Maruthamanikandan S., Rudresha C.,  Vidya Shree V.,  (2025). Ferrohydrodynamic Instability of a Viscoelastic Magnetic Fluid Layer under the Influence of Time-varying Magnetic Field, The Bulletin of Irkutsk State University. Series Mathematics,  Vol. 51, pp. 34–49. DOI: https://doi.org/10.26516/1997-7670.2025.51.34

3. Rudresha C., Balaji C., Vidya Shree V., and Maruthamanikandan S., (2024). Effect of time-dependent sinusoidal electric field on the onset of electroconvection in a viscoelastic fluid layer, Condensed Matter Physics, Vol. 27, No. 4, p. 43702: 1–12. DOI: https://doi.org/10.5488/cmp.27.43702 

4. Vidya Shree, V., Rudresha, C., Balaji, C., and Maruthamanikandan, S. (2024). Maxwell-Cattaneo law of heat conduction through porous ferroconvection with magnetic field dependent viscosity, Turkish World Mathematical Society Journal of Applied and Engineering Mathematics, Vol.  14, No. 04, pp. 1722-1735.  

5. Balaji, C., Rudresha, C., Vidya Shree, V., and Maruthamanikandan, S. (2024). Impact of Modulated Magnetic Field on the Advent of Ferroconvection in a Permeable Medium, Turkish World Mathematical Society Journal of Applied and Engineering Mathematics, Vol.  14, No. 03, pp. 1152-1165.  

6. Balaji, C., Maruthamanikandan, S., Rudresha, C., and Vidya Shree, V. (2023). Anisotropic Darcy–Brinkman Magnetic Fluid Convection under the Influence of a Time-Dependent Sinusoidal Magnetic Field, Ukrainian Journal of Physics, Vol.  68, No. 11, pp. 730-741.  DOI: https://doi.org/10.15407/ujpe68.11.730 

7. Balaji, C., Rudresha, C., Vidya Shree, V., and Maruthamanikandan, S. (2023). Effect of magnetic field modulation on Bénard–Taylor ferroconvection, Journal of Physical Studies, Vol. 27, No. 4, pp. 4401-8. DOI: https://doi.org/10.30970/jps.27.4401 

8. Rudresha C., Balaji C., Vidya Shree V., and Maruthamanikandan S., (2023). Onset of Electroconvection in a Compactly Packed Dielectric Liquid-Permeable layer with a Modulated Electric Field, Journal of Physical Studies, Vol. 27, No. 1,   pp. 1401-8. DOI: https://doi.org/10.30970/jps.27.1401 

9. Balaji, C., Rudresha, C., Vidya Shree, V., and Maruthamanikandan, S. (2022). Ferrohydrodynamic Instability of a Couple Stress Magnetic Fluid Layer Under the Influence of Time-Dependent Sinusoidal Magnetic Field, Iraqi Journal of Applied Physics, Vol. 18, No. 4, pp. 15 – 19.  

10. Balaji C., Rudresha C., Vidya Shree V., and Maruthamanikandan S., (2022). Thermomagnetic Ferroconvection in an Anisotropic Permeable Layer Exposed to a Modulated Magnetic Field, International Journal of Mathematics and Physics, Vol. 13, No. 2, pp. 58 – 67. DOI: https://doi.org/10.26577/ijmph.2022.v13.i2.08 

11. Rudresha C., Balaji C., Vidya Shree V., and Maruthamanikandan S., (2022). Effect of Electric Field Modulation on the Onset of Electroconvection in a Couple Stress Fluid, East European Journal of Physics, Vol 4, pp. 104 – 111. DOI: https://doi.org/10.26565/2312-4334-2022-4-09 

12. Rudresha C., Balaji C., Vidya Shree V., and Maruthamanikandan S., (2022). Effect of Electric field Modulation on the Onset of Electroconvection in a Dielectric Fluid Anisotropic Porous Layer, Journal of Computational Applied Mechanics, Vol 53, No. 4, pp. 510 – 523.  DOI: 10.22059/JCAMECH.2022.348183.753  

13. Vidya Shree V., Rudresha C., Balaji C., Vidya Shree V., and Maruthamanikandan S., (2022). Effect of Magnetic Field Dependent Viscosity on Darcy-Brinkman Ferroconvection with Second Sound, East European Journal of Physics, Vol 4, pp. 112 – 117.  DOI:  https://doi.org/10.26565/2312-4334-2022-4-10   

14. Balaji, C., Rudresha, C., Vidya Shree, V., and Maruthamanikandan, S. (2022). Ferroconvection in a sparsely distributed porous medium with time-dependent sinusoidal magnetic field, Journal of Mines, Metals and Fuels (JMMF), Vol. 70, No. 3A, pp. 28 – 34.  DOI: https://doi.org/10.18311/jmmf/2022/30664 

15. Rudresha, C., Balaji, C., Vidya Shree, V., and Maruthamanikandan, S. (2022). Effect of Electric Field Modulation on Electroconvection in a Dielectric Fluid-Saturated Porous Medium, Journal of Mines, Metals and Fuels (JMMF), Vol. 70, No. 3A, pp. 35 – 41.  DOI: https://doi.org/10.18311/jmmf/2022/30665 

16. Vidya Shree, V., Rudresha, C., Balaji, C., and Maruthamanikandan, S. (2022). Effect of MFD viscosity on ferroconvection in a fluid saturated porous medium with variable gravity, Journal of Mines, Metals and Fuels (JMMF), Vol. 70, No. 3A,     pp. 98 – 108. DOI: https://doi.org/10.18311/jmmf/2022/30675 

Patents Published

1. Balaji C, Sumithra R, Rudresha C, Vidya Shree V, Two-in-one Mechanical Pencil, October 2024 (Application No. : 202441071878).

2. Balaji C, Rudresha C, Vidya Shree V, Maruthamanikandan S, Prathap D,  Pen-Pass, July 2024 (Application No. : 202441048784).

3.  Balaji C, Kishore K V, Foldable Ruler Combined With A Protractor and Compass, December 2023 (Application No. :  202341075850).

Seminar/Training/Guest Lecture Given as a Resource Person

1. Three Days Online “Hands-On Workshop on R Programming for Data Science”, organized by Department of Mathematics, CMR Institute of Technology, Bengaluru from 03rd June to 05th June 2024.

2. One week SDP on “Essentials of MATLAB for Research”, held from 20th to 22nd May 2024 at Nrupathunga University, Bengaluru, India.

3. One week SDP on “Essentials of MATLAB”, held from 10th to 15th July 2023 at Nrupathunga University, Bengaluru, India.

4. Five Days Online workshop on “Research areas of Computational Mathematics using SCILAB/MATLAB and PYTHON”, organized by Department of Mathematics, CMR Institute of Technology, Bengaluru from 12th June to 16th June 2023.

5. One-week SDP (Hybrid Mode) on “Essentials of MATLAB”, held from 22nd September to 29th September 2022 at Nrupathunga University, Bengaluru, India.

6. One week FDP/SDP on “LaTeX and Beamer for Research”, held from May 16th to 21st, 2022 at Nrupathunga University, Bengaluru, India. 

Papers Presented in Conferences

1. Balaji, C., Rudresha, C., Vidya Shree, V., and Maruthamanikandan, S. (2023). Influence of couple stresses on the onset of ferroconvection with time-varying magnetic field using regular perturbation method, International Conference on Modelling, Simulation and Optimization of Energy Systems (MSOES 2023) (Hybrid), Canadian University Dubai, UAE. 

2. Balaji, C., Rudresha, C., Vidya Shree, V., and Maruthamanikandan, S. (2022). Ferroconvection in a sparsely distributed porous medium with time-dependent sinusoidal magnetic field, Recent Advancements in Mechanical Engineering and Allied Fields 2022, Sir M Visvesvaraya Institute of Technology, Bengaluru, India.

3. Balaji, C., Rudresha, C., Vidya Shree, V., and Maruthamanikandan, S. (2021). Darcy-Ferroconvection with Time-Dependent Sinusoidal Magnetic Field, 4th International Conference on Frontiers in Industrial and Applied Mathematics (FIAM – 2021), Sant Longowal Institute of Engineering & Technology, Longowal, Punjab, INDIA.

4. Balaji, C., Rudresha, C., Vidya Shree, V., and Maruthamanikandan, S. (2021). Darcy-Brinkman Convection in a Ferromagnetic Fluid Saturated Porous Medium with Time-Dependent Sinusoidal Magnetic Field, International Conference on Advances in Applied & Computational Mathematics (ICAAM – 2021), Manipal University Jaipur, INDIA.

5. Balaji, C., Rudresha, C., and Maruthamanikandan, S. (2020). Ferroconvection with Time-Dependent Sinusoidal Magnetic Field Using Classical Perturbation Method, International Conference on Recent Trends in Applied and Computational Mathematics 2020, Reva University, Bengaluru, INDIA.

6. Balaji, C., Rudresha, C., and Maruthamanikandan, S. (2020). Darcy-Ferroconvection with Time-Dependent Sinusoidal Magnetic Field, Bharath Insuitute of Higher Education and Research, Chennai INDIA.