skpandey.apm's picture
Dr. Sanjay Kumar Pandey
Professor
Department of Mathematical Sciences, IIT(BHU), Varanasi, INDIA
skpandey.apm@itbhu.ac.in
09450533132
Area of Interest: 
Bio mechanics, atmospheric vortex dynamics (fluid mechanics), digital image processing, Graph Theory

Ph D in Biomechanics from Indian Institute of Technology, Kharagpur under the supervision of Professor J C Misra, D Sc, FNA, FIMA(UK), FRS (Medicine, London), FINA (Engngg), FIThP (Calcutta), formerly President, Indian science congress (Mathematics & Statistics).

  • M Sc in Mathematics with First Class from Patna University, Patna.
  • B Sc (Honours) in Mathematics with First Class from prestigious Patna Science College.

  • I Sc in First Division from prestigious Patna Science College.

  • Matriculation in First Division with distinction from SBH School, Mohania, Bihar School Examination Board, Patna.

HONOURS

  • Member, Editorial Board, ISST, Journal of Mathematics and Computing System
  • Adjunct Professor, International Institute of Information Technology, Naya Raipur (Aatal Nagar), Chhattisgarh.
  • Member, Board of Studies, National Institute of Technology, Patna
  • Member, Research Degree Committee, Dr APJ Abdul Kalam Technical University, Lucknow.

    AWARDS/SCHOLARSHIPS

      • Senior Research Fellowship (UGC), awarded for the period 1991-93.
      • NET 1989.
      • Junior Research Fellowship (UGC) 1988, awarded for the period 1989-91.
      • State Merit Scholarship 1979, awarded for the period 1979-1981.
      • Topped in National Rural Scholarship 1974, awarded for the period 1974-1979.
      • UGC minor research project, 2005-07. Title of the project: Mathematical modelling of peristaltic transport of physiological fluids

      • Institute of Technology, BHU minor Project, 2006-08 Title of the project: Mathematical modelling of peristaltic flows

      • DIH: Mathematical modelling of swallowing in oesophagus suffering from hiatus hernia.

      • DIH: Mathematical modelling of naturally occurring vortex type phenomena such as tornadoes, whirlwind etc.

      Editorial Boards

      • ISST Journal of Mathematics and Computing System

      Institute Level Committees

      • Member Advisory Committee, Training & Placement Cell, IIT-BHU.
      • ​Member, Institutee Rajbhasha Committee, IIT (BHU), Varanasi.

      Department Level Committees

      • Convener, Departmental; Undergraduate Committee (2013-14)

      • Convener Departmental Postgraduate Committee (2014-15, 2015-16)

      • Professor-in-charge, Training & Placement (2008-09, 2009-10, 2010-11, 2011-12, 2012-13, 2013,-14, 2015-16, 2016-17, 2017-18, 2018-19)

      • Convener, Departmental Space Committee (2016-17, 2017-18, 2018-19)

      • Member, Departmental Postgraduate Committee (2018-19)

      • Member, Departmental Users Committee (2016-17, 2017-18, 2018-19)

      • President:       
                             Mathematics & Computing Society,                 
                             Department of Mathematical Sciences,
                             
        Indian Institute of Technology (BHU), Varanasi.

      • Participation:
                         Republic Day Parade 1982 at New Delhi as a member of Republic day Contingent NCC (Naval wing).                                                      Represented the State of Bihar as the coxswain of the Regatta Team at Republic Day Camp at New Delhi in 19

      • Languages known:  
        • ​​​Natural languages:       Hindi, English, Sanskrit, Bengali and German.
        • Computer Languages: C, C++, Java, Fortran
      • Fluid Dynamics
      • Numerical Analysis

      • Mathematical Methods.

      • Graph Theory and Applications.

      • Discrete Mathematics.

      • Mathematical Modelling and Simulation.

      • Computer Programming & Graphics in C.

      • Computer Programming with applications to Numerical Methods

      • Programming Languages.

      • Object Oriented Programming.

      • Computational Fluid Dynamics..

      • Digital Image Processing.

      Post doctoral Supervision

      • Dr Somnath Maiti (UGC Dr D S Kothari postdoctoral fellow)(2012-15) Research Area: Bio-fluid motion in uterus.

      Doctoral Supervision
      (Completed: 6)

      • Dharmendra Tripathi (2009)
              Title : "Mathematical modelling of peristaltic transport of non-Newtonian fluids: Application to physiological flows
      • Mithilesh Kumar Chaube (2010):
        Title : "Investigation of flow characteristics of peristalsis through mathematical models: Application to physiological flows"       

      • Manish Kumar Singh  (2014):
         (under co-supervison)
        Title: 
        "Study of spatially homogeneous and anisotropic cosmological models in modified theories of gravitation

      • Shailendra Kumar Tiwari (2017):
         Title :  
        "Mathematical modelling of peristaltic transport: Investigation of oesophageal swallowing in normal and pathological states"

      • Jagdish Prasad Maurya  (2018): 

              Title :  "Exploration of Characteristics governing dynamics of whirlwinds: Applications to  atmospheric vortices"  

      • Amirlal Singh  (2019): (Submitted)      
      ​          Title : "Exploration of flow dynamics od oesophageal swallowing in normal and pathological states"

                              

      (Ongoing: 4)

      • Subhash Chandra (Topic: Mathematical modelling of some bio- systems)

      • Ajay Kumar Patel (Co-supervisor, Dr Lavanya S), (Area: Graph Theory)

      • ​​​Raja Pathak (under co-supervision with Dr Shatrughna Tripathi, Department of Astrology, SVDV Sankay, BHU)

      • ​Siddharth Singh (Biomechanics)

      Masters Level Supervision
      Completed (18), Continuing (2)
      M Tech Dissertation

      2009-10

      • Audio Watermarking by Mr Deepak Kumar Singh.

      • Aerodynamics of Birds\92 Flight by Mr Gaurav Mittal.

      2010-11

      • New Stereo Matching Algorithm Based on Image Segmentation and Image Wrapping by Akshay Gupta.

      • Informatica Administrator Enhancement by Piyush Aggarwal.

      2011-12

      • Public Key Cryptography and Network Security by Johns Baby.

      • Advanced Management Controller (2012) by Ravindra Kumar.

      • Mathematical Modelling of Hiatus Hernia (MMST Dissertation) by Dr Gireesh Ranjan (IIT, Kharagpur)

      2012-13

      • Exploration of an inventory control model for a three echelon system with varying demand by Ankit Gupta 

      2013-14

      • Moving Object Recognition by Akshay Nagpurkar 

      2014-15

      • Design and Analysis of Segmentation and Texture based featuire etraction methods for medical images by Pushkar

      2015-16

      • Exploration and Implementation of Inherent Algebraic Structures of Colour by Suhani Garg

      • Design and Analysis of Image Compression Models by Yokila arora

      2016-17

      • Hardik Wadhwa: Pricing put options using machine learning techniques by Hardik Wadhwa
      • Stock market simulation to study development of trading strategies &trend forcasting using machine learning techniques.by Neeraj Pathak​

      2017-18

      • Kanchan Meena (2018): Designing of routes for an Educational Campus by Kanchan Meena

      Anuradha Meena (2018): A mathematical model for transport of a Newtonian fluid in a channel under the influence of peristaltic waves of dilating amplitude by Anuradha Meena
      ​​2018-19

      • Debrup Roy Chowdhury
      • Sourabh Grag

      MMST Dissertation

      • Dr Gireesh Ranjan, IIT, Kharagpu ​ ( Title:: Mathematical Modelling  of Hiatus Hernia)                                                                                                 

      Undergraduate Projects

      • Client side implementation of video conferencing solution over windows mobile” by Mr  Gaurav Mittal.

      • “Recognition of repetitive patterns from satellite images” by Gaurav Mittal.

      • “Design and Analysis of secure key exchange protocols” by Deepanshu Shukla.

      • “Study of Huffman Code in a C language” by Baljit Vikas.

      • “Development of Lan Based Multiplayer Game” by Ahmad Arsalan

      Summer Internship

      2018-19

      •  

      2015-16

      • Anuradha Meena (IDD, Maths & Computing Part-III)

      • Rahul Maurya (IDD, Maths & Computing Part-III)

      • Mihir Jitesh Vaidya, (IDD Biomedical Engg, Part-III)

      2014-15

      • Ms Shivani Kumari (B Tech Computer Engg Part III,Bhopal)

      2008-09

      • Computer Simulation of Mathematical Models on Genetics by Ms Sandhya Verma, (M Sc Bioinformatics, MMV BHU, Varanasi.

      H-index = 18
      Citations = 1097

      Research Papers in International Journals

      1. Sanjay Kumar Pandey and Amirlal Singh, Peristaltic transport of Herschel–Bulkley fluids in tubes of variable cross section induced by dilating peristaltic waves: application to sliding hiatus hernia, International Journal of Dynamics and Control,  7, 407-418, 2019.
      2. S.K. Pandey, M.K. Chaube , Dharmendra Tripathi, Corrigendum to “Peristaltic transport of multilayered power-law fluids with distinct viscosities: A mathematical model for intestinal flows”[Journal of Theoretical Biology 278 (2011) 11–19], Journal of Theoretical Biology 470 (2019) 119.
      3. Sanjay Kumar Pandey, Amirlal Singh and Shailendra Kumar Tiwari, Flow of Herschel-Bulkley Fluids in circular cylindrical Tubes Caused by Dilating Peristaltic Waves, Austin Journal of Gastroenterology (Accepted: 07 August, 2018).
      4. Sanjay Kumar Pandey and Amirlal Singh, Unsteady Peristaltic Transport of a Particle–Fluid Suspension: Application to Oesophageal Swallowing, Zeitschrift für Naturforschung A. (Accepted: 31 July, 2018).                                                               
      5. Sanjay Kumar Pandey and Jagdish Prasad Maurya, A Mathematical Model Governing Tornado Dynamics: An Exact Solution of a Generalized Model https://doi.org/10.1515/zna-2018-0206, 2018.
      6. Sanjay Kumar Pandey and Jagdish Prasad Maurya, Exact solutions for unsteady axi-symmetric vortex motions governing atmospheric vortices, Dynamics of Atmospheres and Oceans, 83, pp 111–12, 2018.                                                                                                  
      7. Sanjay Kumar Pandey, Jagdish Prasad Maurya, Exploration of characteristics Governing Dynamics of Whirlwinds: Application to dust devils, Zeitschrift fur Naturoshung A 72(8) a, 763-778, 2017.                                                                          
      8. Sanjay Kumar Pandey, Gireesh Ranjan, Shailendra Kumar Tiwari, Kushagra Pandey, Variation of pressure from cervical to distal end of oesophagus during swallowing: Study of a mathematical model, Mathematical Biosciences vol. 288, pp. 149–158, 2017.      
      9. S K Pandey and Shailendra Kumar Tiwari, Swallowing of Casson fluid in oesophagus under the influence of peristaltic waves of varying amplitude, International Journal of Bio-Mathematics, Vol. 10, No. 2,  1750017, 2017.                                                          
      10. S K Pandey and Maiti Somnath,  Rheological fluid motion in tube by metachronal waves of cilia, Applied  Mathematics and  Mechanics. -Engl. Ed., 38(3), pp 393–410, 2017.
      11. S. K. Pandey, M. K. Chaube, and Dharmendra Tripathi, Flow Characteristics of Distinctly Viscous Multilayered Intestinal Fluid Motion, Applied Bionics and Biomechanics,   2015, Article ID 515241, 5, pages, http://dx.doi.org/10.1155/2015/515241, 2015.
      12. S.K Pandey, M. K. Chaube, and Dharmendra Tripathi, Flow characteristics of distinctly viscous multilayered intestinal fluid motion, Applied Bionics and Biomechanics, 2014.
      13. Dharmendra Tripathi, S K Pandey, Abdul Siddiqui and O Anwar B\E9g, Non-steady peristaltic propulsion with exponential variable viscosity: A study of transport through the digestive system, Computer Methods in Biomechanics and Biomedical Engineering Vol.17, No. 6, pp 591-603, 2013.                                                                                                      
      14. S K Pandey and D. Tripathi, Unsteady peristaltic transport of a Maxwell fluid through finite length tube: application to oesophageal swallowing, Applied Mathematics and Mechanics (English Edition) 33(1), pp 15-24, 2012..
      15. S K Pandey and M K Chaube, Peristaltic transport of a Maxwell fluid in a channel of varying cross section induced by asymmetric waves: application to embryo transport within uterine cavity, Journal of Mechanics in Medicine and Biology 11(3), pp. 675, June 2011.
      16. S K Pandey and M K Chaube, Study of Wall Properties on Peristaltic Transport of a Couple-stress Fluid, Meccanica 46, pp. 1319-1330, 2011 
      17. S K Pandey and M K Chaube, Effect of magnetic field on peristaltic transport of couple-stress fluid through porous medium, Journal of Biological Systems 19(2) , pp. 1-12, 2011 
      18. S K Pandey, M K Chaube, Peristaltic flow of a microploar fluid through a porous medium in the presence of an external magnetic field, Communications in non-linear sciences and numerical simulation 16, pp. 3591-3601, 2011.
      19. S K Pandey and 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. Vol. 278, Issue 1, 7, , pages 11-19,  June 2011.
      20. S K Pandey and D. Tripathi, A mathematical model for swallowing of concentrated fluids in oesophagus, Applied Bionics and Biomechanics, 8, pp. 309-6321, 2011.               
      21. S K Pandey and Dharmendra Tripathi, A Mathematical Model for Peristaltic Transport of Micropolor fluids, Applied Bionics and Biomechanics 8, pp. 1\9615, 2011
      22. S K Pandey and D. Tripathi, Unsteady peristaltic flow of micro-polar fluid in a finite channel, Zeitschrift fuer Naturforsch. A, 66a,181-192, 2011.  .
      23. D. Tripathi, S K Pandey and S. Das, Peristaltic Flow of Viscoelastic Fluids of Fractional Generalized Burgers\92 Model through Channels, Acta Astronautica , 69, Issues 1\962, , pp. 30-38, July\96 August 2011.
      24. S K Pandey and D. Tripathi, Effects of non-integral number of peristaltic waves transporting couple stress fluids in finite length channels, Zeitschrift fuer Naturforsch.A, 66A, pp. 172-180, 2011.
      25. D. Tripathi, T. Hayat, N. Ali, S. K. Pandey, Effects of transverse magnetic field on the peristaltic transport of viscoelastic fluid with Jeffrey model in a finite length channel, International Journal of Modern Physics B, Vol. 25(26), pp. 3455-3471, 20 October 2011.
      26. S K Pandey and M K Chaube, Peristaltic Transport of a Viscoelastic Fluid in a tube of varying Cross-section. Mathematical and Computer Modelling, vol. 52, issues3-4, pp 501-514, 2010.
      27. S K Pandey and D. Tripathi, Peristaltic Flow Characteristics of Maxwell and Magneto-hydrodynamic Fluids in Finite Channels: Models for Oesophageal Swallowing, Journal of Biological Systems 18, number 3, September 2010.
      28. 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, 3645\963654, 2010.
      29. S K Pandey and D. Tripathi, Unsteady model of transportation of Jeffrey-fluid by peristalsis, International Journal of Biomathematics, Vol. 3(4), pp. 473-491,  2010..
      30. S K Pandey and D. Tripathi, Influence of Magnetic Field on Peristaltic Flow of Viscous Fluid through a Finite Length Cylindrical Tube, Applied Bionics and Biomechanics, Vol. 7, No. 3, pp.169\96176, September 2010.
      31. M.K. Chaube, S K Pandey and D. Tripathi, Slip Effect on Peristaltic Transport of Micropolar Fluid, Applied Mathematical Sciences Vol. 4, no. 43, pp. 2105-2117, 2010               
      32. S K Pandey and D. Tripathi, Peristaltic Transport of a Casson Fluid in a Finite Channel: Application to Flows of Concentrated Fluids in Oesophagus, International Journal of Biomathematics, Vol. 3, N0. 4 pp. 453-472, 2010 .
      33. D Tripathi, S K Pandey and M K Chaube, Mechanical Efficiency and Reflux of Peristaltic Pumping through a Finite Length Vessel, Int. J. Appl. Math. Comput., 2, pp. 63-72, 2010.
      34. D Tripathi, S K Pandey and M K Chaube, Peristaltic Transport of Power law fluid in Finite Length Vessels, International Journal of Mathematical Science and Engineering Applications ISSN 0973-9424, Vol.3 No. 111, pp.279-289, 2009.
      35. J C Misra and S K Pandey, Peristaltic transport of blood in small vessels: Study of a Mathematical Model, Computer and Mathematics with Applications, vol. 43, no. 8-9, pp. 1183-1193, 2002.
      36. J C Misra and S K Pandey, A mathematical model for oesophageal swallowing of a food bolus, Mathematical and Computer Modelling, vol. 33, no 8-9, pp-997-10009, 2001.
      37. J C Misra and S K Pandey, Peristaltic flow of a multi-layered power-law fluid through a cylindrical tube, International Journal of Engineering Science, vol. 39, pp. 387-402, 2001.
      38. J C Misra and S K Pandey, Peristaltic transport of a non-Newtonian fluid with a peripheral layer, International journal of Engineering Science, vol. 37, pp. 1841-1858, 1999.
      39. J C Misra and S K Pandey, Peristaltic transport in a tapered tube, Mathematical and Computer Modelling, vol. 22, no. 8, pp. 137-151, 1995.
      40. J C Misra and S K Pandey, Peristaltic transport of particle-fluid suspension in a cylindrical tube, Computer and Mathematics with Applications, vol. 28, no. 4, pp. 131-145, 1994.

      Chapters in books

      1. J C Misra, S K Pandey, Peristaltic transport of physiological fluids, Biomathematics: Modelling and Simulation (Editor: J C Misra), Chapter 7, pp.167-193, 2006 World Scientific, London, USA, Singapore.

       

      Hot topics
      Theoretical Biology
      Reports from S.K. Pandey and Co-Researchers Add New Data to Research in Theoretical Biology
      Published in Science Letter, June 21st, 2011
      2011 JUN 21 -- "This paper is concerned with the theoretical study of two-dimensional peristaltic flow of power-law fluids in three layers with different viscosities. The analysis is carried out under low Reynolds number and long wavelength approximations," investigators in Uttar Pradesh, India report.
      "The shapes of the interfaces are described by a system of nonlinear algebraic equations which are solved numerically as streamlines. It is found that the non-uniformity in the intermediate and peripheral layers diminishes when the viscosity of the intermediate layer is increased and that of the outermost layer is kept unaltered for both the pseudo-plastic...
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