RESEARCH ACTIVITIES OF Dr. (Mrs.) MADHURA.K.R
Dr. (Mrs.) MADHURA.K.R
M.Sc., Ph.D.(Maths)
Assistant Professor & Director (R&D - Mathematics)
RESEARCH EXPERIENCE: 5 Years
Areas Of Research:
Fluid Mechanics:
- Study of Dusty Viscous Fluid Flows
- Using differential geometry techniques i.e. the flow in
Frenet Frame Field System
ON GOING RESEARCH PROJECT
Major Research Project Supported by Vision Group on Science and Technology, Department of Science and Technology, Government of Karnataka on Fluid Mechanics: Study of Dusty Viscous Fluid Flows with a duration of 2 Years.
AWARDS
"Seed Money to Young Scientists for Research" an award given by Vision Group on Science and Technology, Department of Science and Technology, Government of Karnataka.
SPECIALIZED SUBJECT
- Discrete Mathematics
- Fluid Mechanics
- Functional Analysis
- Topology
- Algebra
- Measure Theory & Integration
CITED NATIONAL/INTERNATIONAL JOURNAL ARTICLES
Published Papers in International Journals/Publications
- Pulsatile Flow of Unsteady Dusty Fluid through Porous Media in Anholonomic Co-ordinate System. "Proceedings of the Jangjeon Mathematical Society", 10(2), (2007), pp. 173-183.
- Pulsatile Flow of a Dusty Fluid Through Porous Media in an Open Rectangular Channel, "International Journal of Mathematics and Computation", CESER Publications, Vol. 5, No. D09, December 2009, pp. 61-73. ISSN - 0974-570X (Online); ISSN - 0974 5718 (Print).
- Exact Solutions of Unsteady Dusty Fluid flow through Porous Media in an Open Rectangular Channel, "Advances in Theoretical and Applied Mechanics", Hikari Ltd., Vol. 2, 2009, No. 1-4, pp. 1-17. ISSN - 1313-6550.
- Flow of an Unsteady Dusty Fluid Through Porous Media Between Two Parallel Plates with One of the Horizontal Moving Plate is Suddenly Stopped. "International Review of Physics (IREPHY)", Vol. 4 No. 2, April 2010, pp. 61-68. ISSN - 1971-680X.
- Flow of an Unsteady Dusty Fluid Through Porous Media Between a Non-torsional Oscillating Plate and a Long Wavy Wall. Accepted in Proceedings of Jangjeon Mathematical Society.
- Flow of an Unsteady Dusty Fluid through Porous Media in a Channel of Triangular Cross-section. "International Review of Physics (IREPHY)", Vol. 4 No. 6, December 2010, pp. 315-326. ISSN - 1971-680X.
- Unsteady Flow of a Dusty Fluid Flow through Porous Media between Annulus of Two Hexagonal Channels. Accepted in International Journal of Applied Mathematics & Statistics, ISSN: 0973-7545.
- Flow of an Unsteady Dusty Fluid through Porous Media in a Uniform Pipe with Sector of a Circle as Cross-section. Accepted in International Journal of Pure and Applied Mathematics, ISSN: 1314-3395.
Communicated Papers in International Journals/Publication
- Flow of an Unsteady Dusty Fluid Flow between Horizontal Moving Plate and a Long Wavy Wall.
PAPERS PRESENTED IN CONFERENCES/SEMINARS
- Presented a research paper on Pulsatile Flow of Unsteady Dusty Fluid through Porous Media in Anholonomic Co-ordinate System. In The 19th International Conference of the Jangjeon Mathematical Society held on 22-24, February, 2007 at Department of Mathematics, Bangalore University, BANGALORE, INDIA.
- Presented a research paper on Flow of an Unsteady Dusty Fluid Through Porous Media Between a Non-torsional Oscillating Plate and a Long Wavy Wall, in 22nd International Conference of the Jangjeon Mathematical Society held on 13-15, August, 2009 at AIT, CHICKMAGALORE, INDIA.
- Presented a research paper on Flow of an Unsteady Dusty Fluid through Porous Media in a Channel of Triangular Cross-section, in 19th International Conference of Frontiers in Fluid Mechanics, Bangalore University, BANGALORE, INDIA.
- Presented a research paper on Flow of an Unsteady Dusty Fluid Flow between Horizontal Moving Plate and a Long Wavy Wall, in 3rd Annual Conference of Tensor Society on Differential Geometry and its Applications held on 27th and 28th May, 2011, in Department of PG Studies and Research in Mathematics, Kuvempu University, Shimoga, INDIA.
PARTICIPATION IN CONFERENCES/SEMINARS/ WORKSHOPS/SYMPOSIA
- The 19th International Conference of Jangjeon Mathematical Society held on 22-24, February, 2007 at Department of Mathematics, Bangalore University, BANGALORE, INDIA.
- UGC sponsored Workshop on "Recent Developments in Mathematics" held on 30th March, 2007 at Department of Mathematics, Government Science College, BANGALORE, INDIA.
- One day Seminar on "Recent Trends in Mathematics" held on 5th May, 2008 at Department of PG Studies and Research in Mathematics, Jnanasahyadri, Shankaraghatta, Shimoga Dist., KARANATAKA, INDIA.
- One Day Symposium on "Ramanujan's Mathematics (Series-II)" held on 15th June, 2009 at Central College Mathematical Society, Department of Mathematics, Bangalore University, BANGALORE, INDIA.
- The 22st International Conference of Jangjeon Mathematical Society held on 13-15, August, 2009 at Adichunchanagiri Institute of Technology, Chikmagalur, KARNATAKA, INDIA.
- International Conference on Frontiers in Fluid Mechanics (ICFFM - 2009) organized under the aegis of UGC-Centre for Advanced Studies in Fluid-Mechanics, held on 31st August to 02nd September, 2009 at Department of Mathematics, Bangalore University, BANGALORE, INDIA.
- 2nd National Conference on "Emerging Trends in Fluid Mechanics and Graph Theory" held on 11th & 12th February, 2011 at Department of Mathematics, Christ University, BANGALORE, INDIA.
- Staff Development Program on Recent Developments of Numerical Methods in Various Engineering Applications held on 24th & 25th of May 2011 at Department of Science and Humanities PES Institute of Technology, Bangalore, India.
- 3rd Annual Conference of Tensor Society on Differential Geometry and its Applications held on 27th and 28th May, 2011, in Department of PG Studies and Research in Mathematics, Kuvempu University, Shimoga, INDIA.