BLDEA's Dr. P. G. Halakatti College of Engineering & Technology, Vijayapura, Karnataka

The faculty members of the department are actively involved in various research activities. The Department has four Ph.D. guides. Department has VTU recognized Research centre for conducting Ph.D. programs. At present 10 scholars are pursuing their Ph.D. and four (4) scholars are completed Ph.D. program. The Department helps the students in their project work. It also supports the research scholars of various departments in solving numerous mathematical problems.

The major areas of research are Fluid Mechanics, Bio-fluid Mechanics, Mathematical modelling, General and Fuzzy Topology, Extended fuzzy sets, Fuzzy automata.

Sl. No. Name of Guide Area of specialization Status of Scholars
1 Dr. Gurunath C. Sankad Fluid Mechanics Awarded: 04, Pursuing: 04,
2 Dr. Somshekhar C. Desai General and Fuzzy Topology Pursuing: 03
3 Dr. (Smt) Asha  B. Patil Fluid Mechanics Pursuing: 01
4 Dr. Mallinath Y. Dhange Fluid Mechanics Pursuing: 02
SL No. Name of Scholar Area of specialization Name of Guide
1 Umesh Bhujakkanavar Fluid Mechanics Dr. G. C. Sankad
2 Revanasiddhappa Metri Fluid Mechanics Dr. G. C. Sankad
3 Drurga Priyadharshini Fluid Mechanics Dr. G. C. Sankad
4 Priyanka Chavan Fluid Mechanics Dr. G. C. Sankad
5 Kusha M. Chavan Topology Dr. S. C. Desai
6 Mallikarjun Mathapati Topology Dr. S. C. Desai
7 Pallavi Nimbalkar Fluid Mechanics Dr. S. C. Desai
8 Varsha  Kannur Fluid Mechanics Dr. A. B. Patil
9 Shinde Bhim Prabhakar Fluid Mechanics Dr. M. Y. Dhange
10 Salgare Shrishail Shrimant Fluid Mechanics Dr. M. Y. Dhange
  1. Mallinath Dhange, Gurunath Sankad and Umesh Bhujakkanavar, Modeling of blood flow with stenosis and dilatation, Mathematics and Mechanics of Complex Systems, 10(2) (2022), 155–169, https://doi.org/10.2140/memocs.2022.10.155
  2. Shaila S. Benal,1Jagadish V. Tawade,2,3Mahadev M. Biradar,4and Haiter Lenin Allasi, Effects of the Magnetohydrodynamic Flow within the Boundary Layer of a Jeffery Fluid in a Porous Medium over a Shrinking/Stretching Sheet, Mathematical Problems in Engineering, 11(2022), 7326504, https://doi.org/10.1155/2022/7326504
  3. Mallinath Dhange, Gurunath Sankad, Rabia Safdar, Wasim Jamshed, Mohamed R Eid, Umesh Bhujakkanavar, Soumaya Gouadria, R Chouikh, A mathematical model of blood flow in a stenosed artery with post-stenotic dilatation and a forced field, PLOS ONE, 17(7) (2022), https://doi.org/10.1371/journal.pone.0266727
  4. Nagathan, Asha. Patil, S. C. Desai, C. Rajashekhar, I. Sarris, H. Vaidya, K. V. Prasad, Electroosmotic Peristaltic Pumping of Jeffrey Liquid with Variable Characteristics: An Application to Hemodynamic, International Journal of Applied and Computational Mathematics, 151 (2022), https://doi.org/10.1007/s40819-022-01284-7
  5. M Dhange, G Sankad, Ishwar Maharudrappa, Casson fluid flow due to stretching sheet with magnetic effect and variable thermal conductivity, Frontiers in Heat and Mass Transfer (FHMT), 18 (2022), 36, https://doi.org/10.5098/hmt.18.36
  6. Faisal Shahzad, Wasim Jamshed, Rabia Safdar, Syed M Hussain, Nor Ain Azeany Mohd Nasir, Mallinath Dhange, Kottakkaran Sooppy Nisar, Mohamed R Eid, Muhammad Sohail, Mishal Alsehli, Ashraf Elfasakhany, Thermal analysis characterisation of solar-powered ship using Oldroyd hybrid nanofluids in parabolic trough solar collector: An optimal thermal application, Nanotechnology Reviews, 11(1) (2022), 2015-2037, https://doi.org/10.1515/ntrev-2022-0108
  7. Mallinath Dhange, Gurunath Sankad, Umesh Bhujakkanavar, Blood flow with multiple stenosis in a forced field, Mathematical Modelling of Engineering Problems, 8(4) (2021), 538 -
  8. Sankad, G., Ishwar, P., Dhange, M., Varying wall temperature and thermal radiation effects on MHD boundary layer liquid flow containing gyrotactic microorganisms, Partial Differential Equations in Applied Mathematics, 100092 (2021). https://doi.org/10.1016/j.padiff.2021.100092
  9. C. Desai, Local finitess and its properties in fuzzy topological spaces, Advances and Applications in Mathematical Sciences, 20(8) (2021), 1349-1355.
  10. Umadevi, , Dhange, M., Haritha, B., Sudha, T, Flow of blood mixed with copper nanoparticles in an inclined overlapping stenosed artery with magnetic Field. Case Studies in Thermal Engineering, 25 (2021), 100947. https://doi.org/10.1016/j.csite.2021.100947
  11. Umadevi, G. Haripriya, M. Dhange, G. Nageswari, Effects of magnetic field on blood flow with suspended copper nanoparticles through an artery with overlapping stenosis, International Journal of Thermofluid Science and Technology, 8(1) (2021), 080103. https://dx.doi.org/10.36963/IJTST.2021080103
  12. Sudha, C. Umadevi, M. Dhange, S. Manna, J. C. Misra, Effects of stenosis and dilatation on flow of blood mixed with suspended nanoparticles: A study using homotopy technique, International Journal of Applied Mechanics and Engineering, 26(1) (2021), 251-265. https://doi.org/10.2478/ijame-2021-0015
  13. Vaidya, C. Rajashekhar, K. V. Prasad, S. U. Khan, F. Mebarek Oudina, A. Patil, P. Nagathan, Channel glow of MHD Bingham fluid due to peristalsis with multiple chemical reactions: An application to blood flow through narrow arteries, SN Applied Sciences, 3 (2021), 186. https://doi.org/10.1007/s42452-021-04143-0
  14. C. Sankad, I. Maharudrapppa, and M. Y. Dhange, Bioconvection in casson fluid flow with gyrotactic microorganisms and heat transfer over a linear stretching sheet in presence of magnetic field, Advances in Mathematics: Scientific Journal, 10(1) (2021), 155-169. https://doi.org/10.37418/amsj.10.1.16
  15. Haritha, C. Umadevi, and M. Y. Dhange, Mathematical modeling of convective heat and mass transmission of a rotating nano-fluid bounded by stretching and stationary walls in a vertical conduit, International Journal of Applied Mechanics and Engineering, 25(4) (2020), 69-83.
  16. Rajashekhar, H. Vaidya, K. V. Prasad, Iskander Tlili, A. B. Patil, P. S. Nagathan, Unsteady flow of Rabinowitsch fluid peristaltic transport in a non-uniform channel with temperature dependent properties, Alexandria Engineering Journal, 59(6) (2020), 4745-4758. . https://doi.org/10.1016/j.aej.2020.08.036
  17. Mallinath Dhange, Gurunath Sankad, Diffusion of a solute in creeping sinusoidal movement of a couple stress fluid in an inclined conduit with wall features, AIP Conference Proceedings, 2246(1) (2020), 020020.
  18. C. Sankad, R. S. Metri, A. B. Patil, Effect of porosity on the Rippling motionof Herschel- Bulkley fluid in a non uniform tube, The International Journal of Engineering and Science, (2020), 27-32.
  19. Mallinath Dhange and Gurunath Sankad, Slip Impact on Diffusion of a Solute in Creeping Sinusoidal Motion of a Newtonian Fluid with Wall Feature, International Journal of Analysis and applications, 17(4) (2019), 659-673.
  20. Y. Dhange and G. C. Sankad, Simultaneous chemical reactions effect on dispersion of a solute in peristaltic propulsion of a Newtonian fluid in an inclined channel with wall properties, International Journal of Applied Mechanics and Engineering, 24(3), 2019, 527-538.
  21. Durga Priyadarsini and Gurunath Sankad, Distribution of Temperature in a Viscous Incompressible Fluid Flow using Differential Homotopy Perturbation Method, TEST Engineering and Management Journal, 81, 2019, 5272-5275.
  22. Jagadish V. Tawade, Mahadev M. Biradar, and Shaila S. Benal, A new approach of MHD flow for UCM fluid over a permeable moving plate with space and temperature dependent internal heat generation/absorption, AIP Proceedings, 2236, 060002-1-15, 2020, https://doi./10.1063/5.0006834.
  23. Dhange and G. Sankad, Creeping Sinusoidal Flow And Dispersion Of A Couple Stress Fluid With Chemical Reaction And Wall Effects, ASRO Journal of Applied Mechanics 3(1) (2018), 6-20.
  24. Gurunath Sankad and Mallinath Dhange, Slip and chemical reaction effects on peristaltic transport of a couple stress fluid through a permeable medium with complaint wall, International Journal : Applications and Applied Mathematics (AAM), 13(1) (2018), 454 -
  25. C. Sankad and Asha Patil, Heat transfer inferences on the Herschel Bulkley fluid flow under peristalsis, Frontiers in Heat and Mass Transfer (FHMT), 10, 17 (2018). DOI:10.5098/hmt.10.17
  26. C.Sankad and P. S. Nagathan Influence of Wall Properties on the Peristaltic Flow of a Jeffrey Fluid in a Uniform Porous Channel under Heat Transfer, International Journal of Research in Industrial Engineering, 6(3) (2017), 246–261.
  27. Sankad G. and Dhange M, Effect of Chemical Reactions on Dispersion of a Solute in Peristaltic Motion of Newtonian Fluid with Wall Properties, Malaysian Journal of Mathematical Sciences, 11(3) (2017), 347-363.
  28. Y. Dhange and G. C. Sankad, Peristaltic Pumping and Dispersion of a MHD Couple Stress Fluid with Chemical Reaction and Wall Effects, Journal of Advances in Mathematics and Computer Science, 24(3) (2017), 1-12.
  29. G. C. Sankad and M. Y. Dhange, Effect of complaint walls on magneto-hydrodynamic peristaltic pumping of an incompressible viscous fluid with chemical reactions, APRN Journal of Engineering and Applied Sciences, 12(3) (2017), 654-660.
  30. Dhange Mallinath and Sankad Gurunath, On Magnetohydrodynamic peristaltic pumping of an incompressible viscous fluid with chemical reactions and wall properties, International Journal of Pure and Applied Mathematics, 113(7) (2017), 32-41.
  31. G. C. Sankad and Asha Patil, Non-Newtonian Fluid Flow in a Peristaltic Channel Lined with Porous Material under Low Intensity Magnetic Field, International Journal of Pure and Applied Mathematics, 113(6) (2017), 422-431.
  32. G. C. Sankad and Pratima S. Nagathan, Transport of MHD couple stress fluid through peristalsis in a porous medium under the influence of heat transfer and slip effects, International Journal : Int. J. Applied Mechanics and Engineering, 22 (2017), 403-414.
  33. G. C. Sankad and Asha Patil, Impact of Permeable Lining of the Wall on the Peristaltic Flow of Herschel Bulkley Fluid, International Journal : Applications and Applied Mathematics (AAM), 11(2) (2016), 663 -679.
  34. Gurunath Sankad and Mallinath Dhange, Peristaltic pumping of an incompressible viscous fluid in a porous medium with wall effects and chemical reactions, Alexandria Engineering Journal, 55 (2016), 2015-2021.
  35. G. C. Sankad and Pratima S. Nagathan, Unsteady MHD Peristaltic Flow of a Couple Stress Fluid through Porous Medium with Wall and Slip Effects, Alexandria Engineering Journal, 55 (2016), 2099-2105.
  36. G. C. Sankad and Asha Patil, Effect of Porosity on the Peristaltic Pumping of a Non- Newtonian Fluid in a Channel, Journal of New Results in Science, 10 (2016), 01-09.
  37. G. C. Sankad and Pratima S. Nagathan, Influence of the Wall Properties on the Peristaltic Transport of a Couple Stress Fluid with Slip Effects in Porous Medium, Procedia Engineering, 127 (2015), 862-868.
  38. G. C. Sankad and Asha Patil, Peristaltic Flow of Herschel Bulkley Fluid in a Non-Uniform Channel with Porous Lining, Procedia Engineering, 127 (2015), 686-693.
  39. G. C. Sankad and G. Radhakrishnamacharya, Influence of Wall Properties on the Peristaltic Transport of a Micropolar Fluid in an inclined channel, Journal of New Results in Science, 6 (2014), 62-75.
  40. C. Sankad, P. S. Nagathan, Asha Patil and M. Y. Dhange, Peristaltic transport of a Herschel-Bulkley fluid in a non-uniform channel with wall effects, Science and Innovative Technology (IJESIT), 3(3) (2014), 669-678.
  41. G. C. Sankad and G. Radhakrishnamacharya, Effect of Magnetic Field on the Peristaltic Transport of Couple Stress fluid in a Channel with Wall properties, International Journal of Biomathematics, 4(3) (2011), 365-378.
  42. C. Sankad, G. Radhakrishnamacharya and J. V. Ramanamurthy, Long Wavelength Approximation to Peristaltic Motion of Micropolar Fluid with Wall Effects, Advances in Applied Mathematics and Mechanics, 2 (2010), 222-237.
  43. G. C. Sankad and G. Radhakrishnamacharya, Effect of Wall Properties on Peristaltic Transport of Micropolar Fluid in a non-Uniform Channel, International Journal of Applied Mathematics and Mechanics, 6(1) (2010), 94-107.
  44. G. C. Sankad and G. Radhakrishnamacharya, Effect of Magnetic Field on Peristaltic Motion of Micropolar Fluid with Wall Effects, Journal of Applied Mathematics and Fluid Mechanics, 1 (2009), 37-50.
  45. G. C. Sankad and G. Radhakrishnamacharya, Influence of Wall Properties on the Peristaltic Motion of a Herschel-Bulkley Fluid in a Channel, APRN Journal of Engineering and Applied Sciences, 4(10) (2009), 27-35.

Publications in Book Chapters

  1. Mallinath Dhange and Gurunath Sankad, “Outcome of Wall Features on the Creeping Sinusoidal Flow of MHD Couple Stress Fluid in an Inclined Channel with Chemical” Advances in Mathematical Methods and High performance Computing (ISSN 1571-8689 ISSN 1876-9896 (electronic) Advances in Mechanics and Mathematics ISBN 978-3-030- 02486-4 ISBN 978-3-030-02487-1 (eBook) https://doi.org/10.1007/978-3-030-02487-1) Springer Nature Switzerland AG 2019, volume-41 pp. 371-384.
  2. Gurunath Sankad and Pratima S. Nagathan, “Effects of Slip on the Peristaltic Motion of a Jeffrey Fluid in Porous Medium with Wall Effects” Advances in Mathematical Methods and High performance Computing(ISSN 1571-8689 ISSN 1876-9896 (electronic) Advances in Mechanics and Mathematics ISBN 978-3-030-02486-4 ISBN 978-3-030-02487-1 (eBook) https://doi.org/10.1007/978-3-030-02487-1) Springer Nature Switzerland AG 2019, volume- 41 415-425.
  3. G. C. Sankad and Ishwar Maharudrappa,“Boundary Layer Flow and Heat Transfer of Casson Fluid over a Porous Linear Stretching Sheet with Variable Wall Temperature and Radiation”, Lecture Notes in Mechanical Engineering (LNME), (ISSN 2195-4356 ISSN 2195-4364 (electronic)Lecture Notes in Mechanical Engineering ISBN 978-981-13-1902-0 ISBN 978-981-13-1903-7 (eBook) https://doi.org/10.1007/978-981-13-1903-7) Springer Nature Singapore Pte Ltd. 2019, pp.167-176.

Paper presented in national/international conferences

  1. Dhange, Y., attended International Conference on Mathematical Sciences, 28-31 December, 2012 held at Department of Mathematics, Science College, Nagpur, Maharashtra (INDIA).
  2. Dhange, M. Y has presented paper on Dispersion of a solute in peristaltic motion: An overview”, in 2nd International Conference on Application of Fluid Dynamics (ICFD-2014), 21 – 23 July, 2014 held at Department of Mathematics, Sri Venkateswara University, Tirupati, Andra Pradesh (INDIA).
  3. Asha Patil has presented paper on “Peristaltic flow of Herschel-Bulkley fluid in a non- uniform channel with porous lining” in International Conference on Computational Heat and Mass transfer (ICCHMT-2015), November 30 – December 2, 2015 held at Department of Mathematics, National Institute of Technology, Warangal, Telangana, (INDIA).
  4. Pratima Nagathan has presented paper on “Influence of the Wall Properties on the peristaltic transport of a couple stress fluid with slip effects in porous medium” in International Conference on Computational Heat and Mass transfer (ICCHMT-2015), November 30 – December 2, 2015 held at Department of Mathematics, National Institute of Technology, Warangal, Telangana, (INDIA).
  5. Gurunath Sankad has presented paper on “Effects of Slip on the Peristaltic Motion of a Jeffrey Fluid in Porous Medium with Wall Effects” in 2nd International Conference on Modern Mathematical Methods and High Performance Computing in Science and Technology (M3HPCST-2018), 04 – 06 January, 2018 held at Inderprastha Engineering College, Gaziyabad, Uttar Pradesh (INDIA).
  6. Dhange, M. Y has presented paper on “Outcome of wall features on the creeping sinusoidal flow of MHD couple stress fluid in an inclined channel with chemical reaction” in 2nd International Conference on Modern Mathematical Methods and High Performance Computing in Science and Technology (M3HPCST-2018), 04 – 06 January, 2018 held at Inderprastha Engineering College, Gaziyabad, Uttar Pradesh (INDIA).
  7. Mallinath Dhange has presented paper on “Diffusion of a solute in creeping sinusoidal movement of a couple stress fluid in an inclined conduit with wall features” in International conference on Mathematical Sciences and Applications (ICMSA-2019), 09 – 11 August, 2019 held at Gitum University, Hyderabad, Telangana (INDIA).
  8. S. S. Benal has presented paper on “A new approach of MHD flows for the upper convected Maxwell fluid over a porous stretching sheet in presence of non-uniform heat source or sink”, in International conference and Pre-conference workshop on emerging trends in mechanical engineering , 09 – 10 August, 2019 held at St. Joseph Engineering College , Vamanjoor, Mangaluru, Karnataka (INDIA).
  9. S. C. Desai has presented paper on “A certain paracompactness in Fuzzy topological spaces” in National conference on analysis and its applications (NCAA-2019), 01-02 March, 2019 held at Karnataka University Dharwad, Karnataka (INDIA).
  10. S. Metri, has presented paper on “Effect of porosity on the rippling motion of Herschel- Bulkley fluid in a non-uniform tube in International conference on Numerical Heat Transfer and Fluid Flow (NHTFF-2020), 17-19 January, 2020 held at Department of Mathematics, National Institute of Technology, Warangal, Telangana (INDIA).

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