Dr. D.Tripathi dtripathi.jpg
Visiting Faculty
Department of Mathematics
Email: dtripathi[AT]iitrpr.ac.in





Biography

Dr. Tripathi joined the Department of Mathematics, IIT Ropar on 2011. After submitted his PhD thesis he joined as a faculty member in Department of Mathematics, BITS Pilani, Hyderabad Campus on 2010. He was awarded three postdoctoral fellowships (NBHM, Dr. D.S. Kothari and Indo-EU) in 2010. His research work is focused on the mathematical modelling and simulation of biological flows in deformable domains.

Research Interests

  • Mathematical Modelling of bio-fluids flow.
  • Peristaltic flow of Newtonian and non-Newtonian fluids.
  • Numerical methods and Fractional differential equations.

Education

  • Ph.D., Institute of Technology BHU, 2009.
  • M.Sc., Banaras Hindu University, 2004.

Work Experience

  • Visting Faculty, Indian Institute of Technology Ropar.

Selected Publications

1. D. Tripathi, A mathematical model for the peristaltic flow of chyme movement in small intestine, Mathematical Biosciences, do:10.1016/j.mbs.2011.06.007 (2011).

2. D. Tripathi, A mathematical model for swallowing of food bolus through the oesophagus under the influence of heat transfer, International Journal of Thermal Sciences, 10.1016/j.ijthermalsci.2011.07.014 (2011).

3. D. Tripathi, Peristaltic Transport of Fractional Maxwell Fluids in Uniform Tubes: Application of an Endoscope, Computers and Mathematics with Applications, 62 (2011) 1116-1126..

4. D. Tripathi, Numerical Study on Peristaltic Flow of Generalized Burgers' Fluids in Uniform Tubes in presence of an Endoscope, International Journal for Numerical Methods in Biomedical Engineering, doi:10.1002/cnm.1442 (2011).

5. D. Tripathi, Numerical and Analytical Simulation of Peristaltic Flows of Generalized Oldroyd-B Fluids, International Journal for Numerical Methods in Fluids, doi: 10.1002/fld.2466 (2011).

6. D. Tripathi, Numerical Study on Peristaltic Transport of Fractional Bio-Fluids, Journal of Mechanics in Medicine and Biology, doi: 10.1142/S0219519411004290 (2011).

7. D. Tripathi, Peristaltic flow of couple-stress conducting fluids through a porous channel: Applications to blood flow in the micro-circulatory system, Journal of Biological Systems, doi: 10.1142/S021833901100407X (2011).

8. D. Tripathi, A mathematical model for the movement of food bolus of varying viscosities through the oesophagus, Acta Astronautica, 69 (2011) 429-439.

9. S.K. Pandey, M. K. Chaube and D. Tripathi, Peristaltic transport of multilayered power-law fluids with distinct viscosities: A mathematical model for intestinal flows, Journal of Theoretical Biology, 278 (2011) 11-19

10. D. Tripathi,S.K. Pandey and S. Das, Peristaltic Flow of Viscoelastic Fluid with Fractional Maxwell Model through a Channel, Applied Mathematics and Computation, 215 (2010) 3645-3654.

11. S.K. Pandey and D. Tripathi, Peristaltic Transport of a Casson Fluid in a Finite Channel: Application to Flows of Concentrated Fluids in Oesophagus, Int. J. Biomathematics, 3 (2010) 453-472.