Mathematics

Head of Department

Dr. Adarsha Kumar Jena
Ph.D(NIT Rourkela)

E-mail:
hod.ma@nitm.ac.in

Faculty

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Dr. Bidyasagar Kumbhakar Assistant Professor

Ph. D., IIT(ISM) Dhanbad

bkmath@nitm.ac.in
+91-9402102386
https://nitmeghalaya.irins.org/profile/101602

Research Interest

Fluid Dynamics, Magnetohydrodynamics (MHD), Heat and Mass Transfer

Education Qualification

Ph. D., IIT(ISM) Dhanbad

Work Experience

Assistant Professor, Department of Mathematics, NIT Meghalaya from July 20, 2015 to till date.

Research Publications

  1. S. Nandi, B. Kumbhakar and G. S. Seth, Hall and Ion Slip Effects on Rotating Casson Nanofluid Flow Past a Deformable Sheet with Multiple Slips and Activation Energy: Modern Impressions of Non-linear Radiation and Convection, Int. J. Appl. Comput. Math., 10:65, DOI: 10.1007/s40819-024-01691-y, 2024.
  2. M. Das and B. Kumbhakar, Attributes of Hall current and radiation absorption in unsteady tangent hyperbolic nanofluid flow over a stretching surface with activation energy: A numerical study, Proc. Inst. Mech. Eng. E: J. Process Mech. Eng., Vol.-238(1), pp. 851-861, DOI: https://doi.org/10.1177/09544089221147386, 2024.
  3. Computational analysis of hybrid nanoliquid flow over an exponentially elongating sheet influenced by oblique Lorentz force with viscous-Joule dissipation: Role of nanoparticle shape factor, Numerical Heat Transfer, Part A: Applications, DOI: http://dx.doi.org/10.1080/10407782.2023.2277822, 2023.
  4. Effectiveness of Stefan blowing on MHD slip flow of Prandtl-Eyring nano-fluid over an elongating sheet with activation energy and viscous-Ohmic dissipation, Int. J. Mod. Phys. C, DOI: https://doi.org/10.1142/S0129183124400047, 2023.
  5. Entropy generation on EMHD transport of couple stress fluid with slip-dependent zeta potential under electrokinetic effects, Int. J. Thermal Sci., Vol.-191, Article ID: 108339, DOI: 10.1016/j.ijthermalsci.2023.108339, 2023.
  6. M. Das, B. Kumbhakar and A. J. Chamkha, Significance of Navier's slip and Arrhenius energy function in MHD flow of Casson nanofluid over a Riga plate with thermal radiation and non-uniform heat source, Int. J. Mod. Phys. B, 2023.
  7. S. Nandi, B. Kumbhakar and G. S. Seth, Statistical and numerical analysis of unsteady hybrid nanoliquid flows over an elongating surface with oblique Lorentz force: A comparison of Cu-Al2O3/H2O, Cu-Al2O3/CH3OH and Cu-Al2O3/H2O-EG, Int. J. Mod. Phys. B, 2023.
  8. S. Nandi, B. Kumbhakar and N. C. Roy, Featuring the Hall effect and variable thermal conductivity on magnetized hybrid nanoliquid flow for three distinct shapes of nanoparticles: A comparative study, Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM), Vol-103(1), Article ID: e202100458, 2023.
  9. B. Kumbhakar and S. Nandi, MHD oscillatory flow of hybrid nanofluid along a vertical plate with ramped wall temperature, heat source and thermal radiation: an exact solution, Heat Transfer, Vol.-51(8), pp. 7890-7909, 2022.
  10. Analytical solution to optimize the entropy generation in EMHD flow of non-Newtonian fluid through a microchannel, Pramana - Journal of Physics, Vol.-96:168, 2022.
  11. B. Kumbhakar, S. Nandi and A. J. Chamkha, Unsteady hybrid nanofluid flow over a convectively heated cylinder with inclined magnetic field and viscous dissipation: A multiple regression analysis, Chinese Journal of Physics, Vol.-79, pp. 38-56, 2022.
  12. T. Siva, S. Jangili, B. Kumbhakar and P. K. Mandal, Unsteady electromagnetohydrodynamic flow of couple stress fluid through a microchannel: A theoretical analysis, European Journal of Mechanics / B Fluids, Vol.-95, pp. 83-93, 2022.
  13. B. Kumbhakar, S. Nandi and G. S. Seth, Aspects of second-order velocity slip and radiation absorption on hydromagnetic stagnation point flow of Jeffrey fluid with chemical reaction, Heat Transfer, Vol.-51(5), pp. 4349-4376, 2022.
  14. S. NandiQuadratic regression analysis of unsteady MHD free convective and radiative-dissipative stagnation flow of hybrid nanofluid over an exponentially stretching surface under porous medium, Chinese Journal of Physics, Vol.-77, pp. 2090-2105, 2022. 
  15. M. Das, Analysis of unsteady MHD Williamson nanofluid flow past a stretching sheet with nonlinear mixed convection, thermal radiation and velocity slips, Journal of Computational Analysis and Applications, Vol.- 30, No-1, pp. 176-195, 2022.
  16. S. Nandi and B. Kumbhakar, Hall current and thermo-diffusion effects on Magnetohydrodynamic convective flow near an oscillatory plate with ramped type thermal and solutal boundary conditions, Indian Journal of Physics, Vol.-96, pp. 763-776, 2022.
  17. S. Nandi and Entropy generation in radiative MHD nanofluid flow past an inclined stretched surface with multiple slips in the presence of Arrhenius activation energy, Physica Scripta, Vol.- 96, Article ID: 125225, DOI: 10.1088/1402-4896/ac2b47, 2021.
  18. S. Nandi and A. J. Chamkha, Features of 3D magneto-convective nonlinear radiative Williamson nanofluid flow with activation energy, multiple slips and Hall effect, Physica Scripta, Vol.-96, Article ID:065206, DOI: 10.1088/1402-4896/abf009, 2021.
  19. T. Siva, B. Kumbhakar, S. Jangili and P. K. Mandal, Unsteady electro-osmotic flow of couple stress fluid in a rotating microchannel: An analytical solution, Physics of Fluids, Vol.-32, Article ID: 102013, 2020.
  20. S. Nandi and B. Kumbhakar, Navier's slip effect on Carreau nanofluid flow past a convectively heated wedge in the presence of nonlinear thermal radiation and magnetic field, Int. Commun. Heat Mass Transf., Vol.-118, Article ID: 104813, 2020.
  21. S. Nandi and B. Kumbhakar, Unsteady MHD free convective flow past a permeable vertical plate with periodic movement and slippage in the presence of Hall current and rotation, Thermal Science and Engineering Progress, Vol.-19, Article ID: 100561, 2020.
  22. G. S. Seth, B. Kumbhakar and S. Sarkar, Unsteady MHD Natural Convection Flow with Exponentially Accelerated Free-Stream Past a Vertical Plate in the Presence of Hall Current and Rotation, Rendiconti del Circolo Matematico di Palermo, II. Ser, Vol.-66, Page Nos- 263–283, 2017.
  23. G.S. Seth, R. Sharma, B. Kumbhakar and R. Tripathi, MHD Stagnation Point Flow over Exponentially Stretching Sheet with Exponentially Moving Free-Stream, Viscous Dissipation, Thermal Radiation and Non-Uniform Heat Source/Sink, Diffusion Foundations, Vol.-11, Page Nos -182-190, 2017.
  24. G. S. Seth, R. Sharma, B. Kumbhakar and A. J. Chamkha, Hydromagnetic Flow of Heat Absorbing and Radiating Fluid over Exponentially Stretching Sheet with Partial Slip and Viscous and Joule Dissipation, Engineering Computations, Vol.-33, Issue No.-3, Page Nos -907-925, 2016.
  25. G. S. Seth, R. Sharma and B. Kumbhakar, Heat and Mass Transfer Effects on Unsteady MHD Natural Convection Flow of a Chemically Reactive and Radiating Fluid through a Porous Medium past a Moving Vertical Plate with Arbitrary Ramped Temperature, J. Appl. Fluid Mech., Vol.-9, Issue No.-1, Page Nos -103-117, 2016.
  26. G. S. Seth, R. Sharma and B. Kumbhakar, Effects of Hall Current on Unsteady MHD Convective Couette Flow of Heat Absorbing Fluid due to Accelerated Movement of One of the Plates of the Channel in a Porous Medium, J. Porous Media, Vol.-19, Issue No.-1, Page Nos -13-30, 2016.
  27. G. S. Seth, B. Kumbhakar and R. Sharma, Unsteady MHD free convection flow with Hall effect of a radiating and heat absorbing fluid past a moving vertical plate with variable ramped temperature, J. Egypt. Math. Soc., Vol.-24, Issue No.-3, Page Nos -471-478, 2016.
  28. G. S. Seth, B. Kumbhakar and R. Sharma, Unsteady Hydromagnetic Natural Convection Flow of a Heat Absorbing Fluid within a Rotating Vertical Channel in Porous Medium with Hall Effects, J. Appl. Fluid Mech., Vol.-8, Issue No.-4, Page Nos -767-779, 2015.
  29. G.S. Seth, B. Kumbhakar and S. Sarkar, Soret and Hall Effects on Unsteady MHD Free Convection Flow of Radiating and Chemically Reactive Fluid Past a Moving Vertical Plate with Ramped Temperature in Rotating System, Int. J. Eng. Sci. Tech., Vol.-7, Issue No.-2, Page Nos -94-108, 2015.
  30. B. Kumbhakar and P. Srinivasa Rao, Dissipative Boundary Layer Flow over a Non-linearly Stretching Sheet in the Presence of Magnetic Field and Thermal Radiation, Proc. Natl. Acad. Sci., India, Sect. A: Phy. Sci., Vol.-85, Issue No.-1, Page Nos -117-125, 2015.
  1. G. S. Seth, B. Kumbhakar and S. Sarkar, Unsteady Hydromagnetic Natural Convection Flow with Heat and Mass Transfer of a Thermally Radiating and Chemically Reactive Fluid Past a Vertical Plate with Newtonian Heating and Time Dependent Free-Stream, Int. J. Heat Tech., Vol.-32, Issue No.-1-2, Page Nos -87-94, 2014.
  2. G. S. Seth, B. Kumbhakar and S. Sarkar, Magnetohydrodynamic Flow over a Permeable Non-linearly Stretching Surface with Effects of Viscous Dissipation and Thermal Radiation, J. Nature Sci. Sustainable Tech., Vol.-8, Issue No.-2, Page Nos -273-292, 2014.

Book Chapters


Sl. No.AuthorsChapter TitleBook TitlePublisherPagesISBNYear
1Bidyasagar Kumbhakar, Manik Das & Jagdev SinghA computational investigation of the characteristics of velocity slips and convective boundary conditions in Maxwell nanofluid flow over a permeable stretching surface with activation energy
Advances in Mathematical Modelling, Applied Analysis and Computation
Springer138-154978-3-031-29959-9
2023


Ph.D. Supervision

A. Completed:

1. Dr. Susmay Nandi (P17MA001) [Ph.D. Degree is awarded on August 12, 2022]

2. Dr. Manik Das (P18MA003) [Ph.D. Degree is awarded on June 14, 2023]

3. Dr. Thota Siva (P18MA001) [Ph.D. Degree is awarded on September 09, 2023, Co-Supervisor: Dr. S. Jangili, NIT Warangal]

B. Ongoing:

1. Ms. Dixita Sonowal (P23MA001) [Joined in January 2023]

Pojects


Sl. No.Title of the ProjectPICo-PIFunding AgencySanctioned Amount (Rs)Duration      Project TypeStatus
1

Analysis of MHD Flow of Jeffery Fluid Past a Stretching Sheet: A Numerical Simulation

Dr. Bidyasagar KumbhakarNATEQIP-III1,65,000/-

1 Year (2021-2022)MinorCompleted

Award/Recognition

  1. Got recognition for excellent research contribution as young faculty member for the year 2023 by NIT Meghalaya.
  2. Received Gold Medal for securing 1st Rank with distinction in M. Phil in the year 2011.

Invited Talks

  1. Delivered an invited talk in the AICTE-QIP sponsored online short-term course on "Implementation of Numerical Methods using MATLAB" organized by Department of Mathematics, IIT Indore during June 03-06,2022. 
  2. Delivered an invited talk on “Applications of Ordinary Differential Equations in Real World Phenomena” in International Webinar on Mathematics and Mathematicians: From Vedic to Present Pandemic organized by B.B. College, Asansol, West Bengal during July 11-12, 2020.
  3. Delivered an invited talk on “Numerical Computation with MATLAB” in One Day National Webinar on MATLAB and Its Applications organized by Kharagpur College, Kharagpur, West Bengal on October 17, 2020.

Courses Taught at NIT Meghalaya

Under Graduate Level

B.Tech.

  • MA101: Differential Calculus and Linear Algebra / Mathematics I
  • MA102: Integral Calculus and Complex Variables / Mathematics II
  • MA201: Integral Transforms and PDEs/ Mathematics III
  • MA203: Scientific Computing
  • MA210: Mathematics Laboratory 

Post Graduate Level:

M.Sc.

  • MA405: Ordinary Differential Equations
  • MA406: Partial Differential Equations
  • MA409: Numerical Analysis
  • MA481: Numerical Analysis Lab
  • MA410: Fluid Mechanics
  • MA411: Techniques of Applied Mathematics
  • MA531: Graph Theory
  • MA533: Operations Research
  • MA534: Numerical Solutions to PDEs

M.Tech.

  • MA551: Engineering Mathematics
  • MA701: Advanced Engineering Mathematics

Ph.D.

  • MA701: Advanced Engineering Mathematics

Administrative Responsibility

  1. Warden, Polo Boys' Hostel, NIT Meghalaya from July 01, 2023 to till date.
  2. Head, Department of Mathematics, NIT Meghalaya from July 01, 2020 to June 30, 2023.
  3. Vice-President (Cultural), SAC, NIT Meghalaya from July 05, 2018 to June 30, 2020.
  4. Warden, Kenche's Trace Boys' Hostel, NIT Meghalaya from July 01, 2017 to June 30, 2018.

Conference/Workshop/Seminar Organized

Workshop:

Sl No.TitleSponsorsNational/InternationalDurationRole Played
1Workshop on Mathematical Modelling and its Applications (WMMA-2016)NBHM(DAE), RITES Ltd. and NIT MeghalayaNationalAugust 19-20, 2016Coordinator

Conference/Workshop/Seminar Attended

  • International Workshop on "Virtual Element Analysis (VEM): Scientific Computation and Applications" organized by Vellore Institute of Technology, Vellore during January 10-12, 2024.
  • 5-Day International FDP on "Recent Advances in Mathematical Modelling and Optimization" organized by Department of Mathematics, CSSR & SRRM Degree & PG College, Kamalapuram, AP during  January 08-12, 2024.
  • A blended workshop on “National Education Policy 2020 with a Focus on Higher Education and Research” organized by NIT Meghalaya on February 17, 2021.
  • 5-Day online FDP on “Examination Reforms” organized by NIT Mizoram during February 15-19, 2021
  • Three Days online Faculty Development Programme on “Outcome Based Engineering Education and Accreditation (OBEEA 2020)” organized by NIT Meghalaya during September 21-23, 2020.
  • 5-Day National Webinar on “Fluid Dynamics from Mathematicians Viewpoint” organized by Department of Mathematics, School of Science, GITAM, Hyderabad during August 9-13, 2020.
  • Webinar on “Role of Digital Library & Its Impact on Professionals and Researchers in Covid-19 Period” organized by McGraw Hill on July 25, 2020.
  • Workshop on “Accreditation and Transformation of Technical Education to Output Based Education (OBE)” organized by NIT Meghalaya during January 22-23, 2016.
  • “60th Congress of Indian Society of Theoretical and Applied Mechanics (ISTAM)-An International Conference” organized by Department of Mathematics, MNIT Jaipur during December 16- 19, 2015.
  • “XXVII IUPAP Conference on Computational Physics (CCP-2015)” jointly organized by IIT Guwahati and IMS Chennai during December 2-5, 2015.
  • “80th Annual Conference of The Indian Mathematical Society” organized by Department of Applied Mathematics, ISM Dhanbad during December 27-30, 2014.
  • “2nd International Conference on Applications of Fluid Dynamics (ICAFD-2014)” organized by Department of Mathematics, S. V. University, Tirupati during July 21- 23, 2014.
  • “XVI International Conference on Physical Sciences and Technology for Sustainable Development (CONIAPS-2014)” organized by PDPM IIITDM, Jabalpur during March 20- 22, 2014.
  • “International Conference in Mathematical Sciences (ICMS-2013)” organized by Government Degree College, Haripur (Manali) during March 8-9, 2013.
  • “National Conference on Recent Advances in Mathematics and its Applications (RAMA-2013)” organized by Department of Applied Mathematics, ISM Dhanbad during February 14-16, 2013.
  • Workshop on “Mathematical Methods and Astronomy (WMMA-2013)” jointly organized by Department of Mathematics, ISM, Dhanbad and IUCAA, Pune during February 7-9, 2013.
  • Advanced Workshop on “Evolution Equation: Theory, Methods and Applications (AWEETMA-2012)” organized by IIT Kanpur during December 2- 6, 2012.
  • National Conference on “Evolution Equation: Theory, Methods and Applications (NCEETMA-2012)” organized by Department of Mathematics and Statistics, IIT Kanpur during December 7- 8, 2012.
  • National Workshop cum Training Program on “Computing Techniques and Applications (NWCTP-CTA)” organized by BHU, Varanasi during July 1-8, 2012.
  • UGC Sponsored Seminar on “Discrete Mathematics with its Applications” organized by the Department of Mathematics, B. B. College, Asansol during March 16-17, 2007.
  • UGC Sponsored Seminar on “Need Based Mathematics Training as on Today” organized by Department of Mathematics, Raniganj Girl’s College during March 9-10, 2006.

Outreach Activities

  • Conducted the written test for engagement in the field of Consultant (Civil & Electrical Engineering) in NEC Secretariat, Shillong on November 02, 2019.
  • Chaired a technical session in 3rd International conference on "Frontiers in Industrial and Applied Mathematics (FIAM2020)" organized by Department of Mathematics, NIT Jamshedpur during December21-22, 2020.
  • Worked as Publicity Chair of the International Conference on Mathematical Modelling and Scientific Computing (ICMMSC-2018) organized by Department of Mathematics, IIT Indore during July 19-21,2018. 
  • Reviewed research articles for various National/International journals of repute. 
  • Conducted the Entrance Examination of NERIST, Arunachal Pradesh during April 21-22, 2018 as Deputy Centre Superintendent, NIT Meghalaya. 

Member of Professional Bodies

  • Life member of "Indian Society of Theoretical and Applied Mechanics (ISTAM)", IIT Kharagpur, Membership ID: L/1061.
  • Life member of "Society of Applied Mathematics (SAM)", IIT (ISM) Dhanbad, Membership ID: LM-2011-12/26.
  • Life member of "The Indian Mathematical Society (IMS)", Savitribai Phule Pune University, Membership ID: L/2024/002.
  • Life member of "The Indian Science Congress Association (ISCA)",  Membership ID: L44586.

Institute Committees

  • PI/Coordinator, Unnat Bharat Abhiyan (UBA) Cell vide letter No. NITMGH/ES/UBA/Vol.II/2023-24/3362 dated 28/03/2024.
  • Coordinator, MSc Admission (CCMN) for the AY 2024-25 vide letter No. NITMGH/AA/Committees/2023-24/543 dated 17/01/2024.
  • Convener, Hostel Patrolling Committee vide letter No. NITMGH/ES/NOT/PT-2/2023-24/1465 dated 20/09/2023.
  • Member, Internal Quality Assurance Cell (IQAC) vide letter No. NITMGH/ES/CMMTE/Vol.II/2023-24/1391 dated 13/09/2023.
  • Member, Examination Cell Committee vide letter No. NITMGH/ES/CMMTE/Vol.II/2023-24/1348 dated 06/09/2023.
  • Member Secretary, Anti-Ragging Squad Commitee vide letter No. NITMGH/ES/CMMTE/Vol.II/2023-24/1336 dated 05/09/2023.
  • Member, Post Graduate Programme Evaluation Committee (PGPEC) vide letter No. NITMGH/AA/Committee/2023-2024/86 dated 10/07/2023.
  • Member, Under Graduate Programme Evaluation Committee (UGPEC) vide letter No. NITMGH/AA/Committee/2020-2021/202 dated 10/11/2020.
  • Member, Finance committee for Industry-Academia Conclave-2019 vide letter No. NITMGH/ES/CMMTE/2019-20/1174 dated 11/09/2019.
  • Member, Under Graduate Programme Evaluation Committee (UGPEC) vide letter No. NITMGH/AA/Committees/2019-2020/81 dated 14/08/2019.
  • Convener, Cultural sub-Committee of Convocation 2019 vide letter No. NITMGH/DR/Convo-2019/2019-20/D-73 dated 23.07.2019.
  • Member, Selection Committee for conducting Interview of Ad-hoc Faculty position in the department of Mathematics vide letter No. NITMGH/ES/ADHOC/2019-20/773 dated 05.07.2019.
  • Member, Examination Committee vide letter No. NITMGH/ES/CMMTE/2019-20/578  dated: 07.06.2019.
  • Member, Examination Committee for conducting written test for Non-faculty positions vide letter No. NITMGH//ES/NOT/Vol. IV/2019-20/204 dated 02.05.2019.
  • Convener, Committee for Cultural program during Alumni Induction Meet 2019 vide letter No. NITMGH/SW/ Alumni Induction/2018-19/03 dated 15.03.2019.
  • Chairman, Cultural and Sports Committee, Institute Day 2019 vide letter No. NITMGH/Inst Day/19/2018-19/3442 dated 22.02.2019.
  • Member, M. Sc. Admission Committee vide letter No. NITMGH/AA/Admissions/2018-19/2993 dated 21.12.2018.
  • Member, Institute Start-Up Committee under TEQIP III vide letter No. NITMGH/TEQIP III/2018/083 dated September 8, 2018.
  • Deputy Superintendent, NERIST entrance examination at NIT Meghalaya during April 21-22, 2018.
  • Convener, Accommodation and Hospitality sub-Committee of Convocation-2017.
  • Faculty Advisor of MSc Mathematics, 2017 batch students vide letter No. NITMGH/Acad/2017/02 dated 01.08.2017.
  • Chairman, Summer Internship Committee-2017 for a term of one year vide letter No. NITMGH/Summer-Internship/2017-18/881  dated:16.02.2017.
  • Member, Examination Committee for a term of one year vide letter No. NITMGH/Notification/2016-17/4534  dated: 01.08.2016.
  • Member, NSS Committee for a period of one year vide letter No. NITMGH/Committees/2016-17/6461 dated 06.03.2016.
  • Member, Sub-committee under Rashtriya Aviskar Abhiyan (RAA) Committee for a period of four months  vide letter No. NITMGH/RAA/2015-16/3229 dated 26.02.2016.
  • Member, Summer Internship Committee for a term of one year vide letter No. NITMGH/ Notification-Committees/2014-15/2920 dated  22.01.2016.
  • Member, Committee for Preparation for Institute Ranking vide letter No. NITMGH/Notification-Committees/2014-15/1696 dated  06.10.2015.
  • Member, Examination Committee vide letter No. NITMGH/Notification/2015-16/1165 dated: 31.07.2015.