Associate Professor

Department of Mathematics

Motilal Nehru National Institute of Technology Allahabad, Prayagraj, India-211004

E-mail: pramodky[at]mnnit[dot]ac[dot]in

Telephone: 0532-227-1261(O) 9559022419(M)

**Conferences Attended for Presenting Paper:**- Slow viscous flow through a membrane in the presence of uniform magnetic field, 103rd Indian Science Congress, University of Mysore, January 3-7, 2016.
- Slow viscous flow through the Biporous medium, 18th International Conference of the International Academy, Department of Mathematics, University of Allahabad of Physical Sciences, December 22-24, 2015.
- On the hydrodynamic permeability of a membrane built up by porous deformed spherical particle, Recent Trends in Mathematics: Topology Algebraic Analysis & Application, Department of Mathematics & Astronomy, University of Lucknow, November, 21-22, 2015.
- Creeping motion of an assemblage of porous cylindrical shells, 4th International Congress on Computational engineering and Science (FEMTEC 2013), Stratosphere Hotel in Las Vegas, USA, May 19-24, 2013,
- Slow Motion of a Porous Cylindrical Shell in a concentric cylindrical cavity, National Conference on Advances in Mathematical Sciences (AMS 2012), Department of Mathematics, Motilal Nehru National Institute of Technology, Allahabad, October 5-7, 2012.
- Stokes flow past an approximate porous spheroid embedded in another porous medium, National Conference on Modeling, Computational Fluid Dynamics and Operations Research, Department of Mathematics, BITS Pilani, Pilani Campus-333 031, Rajasthan, Feb. 4-5, 2012.
- On Hydrodynamic permeability of membranes built up by porous deformed spheroidal particles, National Symposium on Application of Various Techniques In Fluid Dynamics, Department of Mathematics, B.S.N.V. Post Graduate College, Lucknow (In Association with National Science Network (NSN)), Feb. 10-12, 2011.
- Slow viscous flow through a swarm of impermeable spheres covered with porous Layer: Effect of stress jump condition, National Conference on Recent Trends in Mathematical Modeling and Simulation (RTMMS-2010), Department of Applied Mathematics, Institute of Technology, Banaras Hindu University, Varanasi, March, 18-20, 2010.
- On the slow viscous flow through an aggregate of clusters of nano porous cylindrical particles, Indo- Australian workshop on “CFD Approach on Fluid Flow, Heat and Mass Transfer” and Symposium on “CFD Applications in Multidisciplinary Areas” (2007), Department of Mathematics, IIT Roorkee, April, 12-14, 2007.
- On the slow viscous flow through a swarm of porous spherical particles with Happel boundary condition, 9th Conference of the International Academy of Physical Sciences, Department of Mathematics, Dr. B. R. Ambedkar University, Agra and IAPS, Allahabad, Feb.3-5, 2007.
- Creeping flow past a swarm of porous deformed oblate spheroidal particles with kuwabara boundary condition, 8th Conference of the International Academy of Physical Sciences (CONIAPS-VIII, 2005), Chaudhary Charan Singh University, Meerut, NICE Society Meerut and IAPS, Allahabad (India), Dec. 29-31, 2005.

**Conferences/ Workshops/Symposium/ Short-term Courses Organized:**- Organized one-week short-Term course on “Application of MATLAB in Science and Technology” during April 1-5, 2019 at MNNIT Allahabad.
- Organized one-week short-Term course on “Application of MATLAB in Science, Technology and Management” during December 1-7, 2016 at MNNIT Allahabad.
- Organize a National conference on "Application of Mathematics in Engineering and Science" as a Co-Convener during Nov. 29-30, 2014
- Organize a National conference on "Mathematical Modelling and Application in Science and Engineering" as a Convener during March 9-10, 2013 at NIT Patna.
- Two-days short term course on “Fundamental of Fluid Mechanics and Application” on 10-11 November 2012 at National Institute of Technology Patna.

**On-going Projects:**- Title of the project: Investigation of two-fluid flows (micropolar-Newtonian) through a complex porous medium and their applications in engineering sciences Funding agency: Council of Science and Technology (CST), U.P. Duration: 23/11/2022 - 22/11/2025, Amount: Rs. 10.04 lakhs

**Projects Completed:**- Title of the project: Hydrodynamic modelling of Complex porous membranes and their applications in Engineering Sciences, Funding agency: SERB, Govt. of India, 2016-2019 as a P.I. Duration: 13/12/2016 - 12/12/2019, Amount: Rs. 8.085 lakhs
- Title of the project: Investigation of effect of physicochemical parameters and magnetic field on nanofiltration of Non-Newtonian fluids through complex porous membranes, Funding agency: Department of Science and Technology, International Division, New Delhi, India. Role: as a Co-P.I. Duration: 23/06-/2010 to 22/06/2012
- Title of the project: Flow through a membrane modeled of porous cylindrical particles using particle-in-cell approach Funding agency: Department of Science and Technology, International Division, New Delhi, India. Role: as a Co-P.I. Duration: 25/08/2015 to 24/08/2017

**Expert Lectures:**- Delivered an invited talk entitled "Mathematical modelling on fluid flow through porous membrane" in National Conference on Relevance of Applied Sciences to Emerging Technology (ROASET-2019) held at AKGEC Ghaziabad during 24th - 25th April’2019
- Delivered an expert lecture in National Conference on Recent Trends in Differential Equation: Theory, Modeling and Computation 2019 (NCDE-2019) held at IIT Patna during March 29-30, 2019
- Delivered an invited talk entitled “Flow through porous media” in national conference on “Mathematical Modeling and Application in Sciences & Engineering” held at NIT Patna during 09-10 March 2013.

**Reviewer for Transactions / Journal / Conferences:**- Meccanica, Applied Mathematics and Mechanics, Transport in porous media, Journal of the Brazilian Society of Mechanical Sciences and Engineering (BMSE), Arabian Journal for Science and Engineering (AJSE), Cardiovascular Engineering and Technology, Journal of the Taiwan Institute of Chemical Engineers, National Academy Science letters, International Journal of Energy Research, CFD Lett., Heat Transfer, Physics of Fluid, Chinese Journal of Physics and others.

**Other Significant Achievements:**- Two week ISTE STTP on “Technical Communication" at MNNIT Allahabad organized by IIT Bombay, October 8- December, 2015.
- Author Workshop jointly organized by Central Library, MNNIT Allahabad and Springer (India) Pvt. Ltd. New Delhi, 29th October 2015.
- Workshop on Digital India, at MNNIT Allahabad, 31st July, 2015.
- Two week ISTE Workshop on “Fluid Mechanics" at MNNIT Allahabad organized by IIT Kharagpur, May 20-30, 2014.
- Workshop on Scientific Contribution of Acharya Jagadish Chandra Bose & Acharya Prafulla Chandra Ray at MNNIT Allahabad, December 23-24, 2013
- One week National Workshop on “Optimization Techniques & Their Application" at MNNIT Allahabad, at MNNIT Allahabad, June 03-07, 2013.
- Faculty orientation Programme, January 12-13, 2013.
- 74th Annual Conference of Indian Mathematical Society at University of Allahabad in December 2008.
- 95th Session of Indian Science Congress Association (ISCA) (2008).
- Bharata Ganita Parisad-2006, Department of Mathematics & Astronomy, University of Lucknow, November 18-19, 2006