Prof. T.V.S. Sekhar Professor
School of Basic Sciences

Research Interests

  • Numerical Methods to Partial Differential Equations
  • Computational Fluid Dynamics

Contact Details

  • SBS - 326
  • +91 674 713 5162
  • sekhartvs@iitbbs.ac.in, sekhartvs@yahoo.co.in

Other Profile Link(s)

Education

 Degree Discipline Year School
  Ph.D. Mathematics 1995 IIT Madras
  M.Sc. Applied Mathematics 1988 Andhra University
  B.Sc. Mathematics (Main) 1986 Andhra University
 

Biosketch

Visiting Faculty  University of Massachusetts Dartmouth (U MAss D), USA June 2013 to August 2013  Research and Teaching 
 
 
 
Position Duration
 Member, Board of Governors of IIT Bhubaneswar 01-01-2025 to present
 Head, School of Basic Sciences 30-10-2017 to 12-06-2022
 Professor In-Charge, Career Development Cell 7/2012 - 6/2014
 
 
 
 
 

Teaching

B.Tech : Mathematics - 1(1st semester), Mathematics - 2 (2nd semester), Transform calculus (3rd semester), Partial differential equations(4th semester Mechanical Engineering) 
M.Tech : Mathematical methods ( 1st semester)
M.Sc : Numerical Analysis (2nd semester), Numerical Analysis Lab (2nd semester), Numerical solutions of ordinary and Partial differential equations (3rd semester), Partial Differential Equations (4th semester), Continuum Mechanics (2nd Semester)
M.S. (University of Massachusetts Dartmouth, USA): Computational Fluid Dynamics

Projects

Title: Taylor column phenomena of axially translating sphere in a rotating fluid – a numerical study
Funding Agency: DST
Amount: 25,88,000/- INR
Duration: Jan 2020 to Jan 2023
Status: Completed
 
Title: Development of Higher Order Compact Scheme to capture Taylor column phenomena in rotating fluids
Funding Agency: DST
Amount: 21,26,000/- INR
Duration: Nov 2015 to Nov 2018
Status: Completed
 
Title: Development of Higher Order Compact Scheme to capture Taylor column phenomena in rotating fluids
Funding Agency: DST
Duration: Oct 2014 to Oct 2015
Status: Completed
 
Title: Validity of Quasi-static Approximation in Magneto hydrodynamic Flows and Heat Transfer – A Numerical Study.
Funding Agency: CSIR
Amount: 9,52,000/- INR
Duration: Nov 2012 to Nov 2015
Status: Completed
 
Title: Development of Higher Order Compact Difference Schemes for Fluid Dynamical Systems and Magnetohydrodynamics.
Funding Agency: SEED Project
Amount: 10,00,000/- INR
Duration: Aug 2012 to Jan 2015
Status: Completed

Recent Publications (International Journals)

1Priyal Garg and T.V.S. Sekhar. "A novel hybrid GFD-RBF method for convection-diffusion problems." Accepted for publication in International Journal for Numerical Methods in Heat and Fluid Flow, 2025, https://doi.org/10.1108/HFF-12-2024-0956.
2Sumit Ghosh, Subharthi Sarkar, and T.V.S. Sekhar. "Influence of magnetic field penetration in the hydromagnetic flow past a sphere." Accepted for publication in ZAMM - Journal of Applied Mathematics and Mechanics, Wiley, 2025, https://doi.org/10.1002/zamm.70012.
3Bapuji Sahoo, Subharthi Sarkar, R. Sivakumar, and T.V.S. Sekhar. "The effect of rotating fluid with Taylor column on forced convective heat transfer." International Communications in Heat and Mass Transfer 137, 106222, 2022.
4Bapuji Sahoo, Bikash Mahato, and T.V.S. Sekhar."A higher-order numerical analysis to study the flow physics and to optimize the design of a short-dwell blade coaters for higher efficiency." Journal of Physics: Conference Series 2090 (1), 012053, 2021.
5Bapuji Sahoo, Subharthi Sarkar, R. Sivakumar, and T. V. S. Sekhar. "On the numerical capture of Taylor column phenomena in rotating viscous fluid." European Journal of Mechanics-B/Fluids 89: 126-138, 2021.
6Subharthi Sarkar, Bapuji Sahoo, and T.V.S. Sekhar. "Influence of magnetic field in the control of Taylor column phenomenon in the translation of a sphere in a rotating fluid." Physics of Fluids, 33(7), 2021.
7N.B. Barik, and T.V.S. Sekhar. "A modified multilevel meshfree algorithm for steady convection‐diffusion problems." International Journal for Numerical Methods in Fluids, 93(7), pp.2121-2135, 2021.
8P. Padhi, S. Udhayakumar, T.V.S. Sekhar, and R. Sivakumar. "Thermo-magneto-convection and mechanism of multiple eddy formation due to applied magnetic field in a lid-driven cavity." Engineering Research Express, 3(1), 015013, 2021.
9N.B. Barik, and T.V.S. Sekhar. "Mesh-free multilevel iterative algorithm for Navier–Stokes equations." Numerical Heat Transfer, Part B: Fundamentals, 79(3), 150-164, 2020.
10S Ghosh, S Sarkar, R Sivakumar, T V S Sekhar "Forced convection magnetohydrodynamic flow past a circular cylinder by considering the penetration of magnetic field inside it" Numerical Heat Transfer, Part A: Applications, 76, 32-49, 2019.
11S Sarkar, S Ghosh, R Sivakumar, T V S Sekhar "On the quasi-static approximation in the finite magnetic Reynolds number magnetohydrodynamic flow past a circular cylinder" European Journal of Mechanics-B/Fluids 77, 259-272, 2019.
12S Ghosh, S Sarkar, R Sivakumar, T V S Sekhar "Full magnetohydrodynamic flow past a circular cylinder considering the penetration of magnetic field" Physics of Fluids 30 (8), 087102, 2018.
13Nikunja Bihari Barik, and T.V.S. Sekhar. "A novel RBF-FD meshless scheme in curvilinear geometry for unbounded flows." Int. J. Comp. Meth. in Engg. Sci. and Mech. (Taylor and Francis), 18, 209-219. 2017
14Nikunja Bihari Barik and T. V. S. Sekhar "An efficient local RBF meshless scheme for steady convection-diffusion problems" Int. J. Computational Methods, Vol. 14 (2017) 1750064 (17 pages).
15S. Udhayakumar, A. D. AbinRejeesh, T. V. S. Sekhar and R. Sivakumar "Study of directional control of heat transfer and flow control in the magnetohydrodynamic flow in cylindrical geometry" Int. J. Heat and Fluid Flow, Vol. 61 (2016) 482-498.
16S. Vimala, S. Damodaran, R. Sivakumar, T.V.S. Sekhar "The role of magnetic Reynolds number in MHD forced convection heat transfer." Applied Mathematical Modelling, Vol. 40, (2016) 6737-6753.
17S. Udhayakumar, A. D. B. Rejeesh, T. V. S. Sekhar and R. Sivakumar. "Numerical investigation of magnetohydrodynamic mixed convection over an isothermal circular cylinder in presence of an aligned magnetic field". Int. J. Heat and Mass Transfer, 95 (2016) 379-292.
18 R. Sivakumar, S. Vimala, S. Damodaran and T. V. S. Sekhar . "Study of Heat Transfer Control with Magnetic Field Using Higher Order Finite Difference Scheme". Advances in Applied Mathematics and Mechanics, 8 (2016) 449-463.
19T. V. S. Sekhar, B. Hema Sundar Raju and P.V.S.N. Murthy . "Higher order compact scheme for laminar natural convective heat transfer from a sphere". Applied Mathematical Modeling, 40 (2016) 2039-2055.
20S. Udhayakumar, T. V. S. Sekhar, R. Sivakumar. "Numerical Experiments on the study of Mixed convection flow in cylindrical geometry."Numerical Heat Transfer Part A , 68 (2015) 870-886.
21R. Sivakumar, S. Vimala, and T. V. S. Sekhar. "Influence of Induced magnetic field on thermal MHD flow."Numerical Heat Transfer Part A, 68 (2015) 797-811.
22T. V. S. Sekhar and B. Hema Sundar Raju. "Spherical Geometry HOC Scheme to Capture Low Pressures within a Wake." East Asian Journal on Applied Mathematics, 3 (2013) 93-106.
23T. V. S. Sekhar and B. Hema Sundar Raju. "An efficient Higher order compact scheme to capture heat transfer solutions in spherical geometry."Computer Physics Communications, 183 (2012) 2337-2345.
24B. Hema Sundar Raju and T. V. S. Sekhar. "Higher order compact scheme combined with multigrid method for momentum, pressure Poisson and energy equations in cylindrical geometry."The Open Numerical Methods Journal, 4 (2012) 46-58.
25T. V. S. Sekhar, R. Sivakumar, S. Vimala and Y. V. S. S. Sanyasiraju. "A combined fourth order compact scheme with accelerated multigrid method for energy equation in spherical polar coordinates."Electronic Transactions on Numerical Analysis, 39 (2012) 32-45.
26T. V. S. Sekhar, R. Sivakumar, T. V. R. Ravi Kumar and S. Vimala. "Numerical simulations of highly non-linear coupled full MHD equations in spherical geometry".Int. J. Non-Linear Mechanics, 47 (2012) 599-615.
27T. V. S. Sekhar and B. Hema Sundar Raju and Y. V. S. S. Sanyasiraju. "Higher order compact scheme for incompressible Navier-Stokes equations in spherical geometry."Commun. Comp. Phys. 11(2012) 99-113.
28T. V. S. Sekhar, R. Sivakumar, K. Subbarayudu and Y. V. S. S. Sanyasiraju. "Non-monotonic behavior of forced convective heat transfer under the influence of external magnetic field."Numerical Heat Transfer Part A, 59 (2011) 459 – 486.
29T. V. S. Sekhar, R. Sivakumar and T. V. R. Ravi Kumar. "Effect of magnetic Reynolds number on 2-D hydromagnetic flow around a cylinder."Int. J. Num. Meth. in Fluids, 59 (2009) 1351-1368.
30T. V. S. Sekhar, R. Sivakumar, T. V. R. Ravi Kumar and K. Subbarayudu. "High Reynolds number incompressible MHD flow under low Rm approximation."Int. J. Non-Linear Mechanics, 43 (2008), 231-240.
31T.V.S. Sekhar, Rajagopalan Sivakumar, Harish Kumar "Effect of aligned magnetic field on the steady viscous flow past a circular cylinder." Applied mathematical modelling, 31 (1), 130-139, 2007.
32T.V.S. Sekhar, R Sivakumar, TVR Ravi Kumar. "Flow around a circular cylinder in an external magnetic field at high Reynolds numbers" International Journal of Numerical Methods for Heat & Fluid Flow 16 (6), 740-759, 2006.
33T.V.S. Sekhar, R Sivakumar, TVR Ravi Kumar "Magnetohydrodynamic flow around a sphere." Fluid dynamics research 37 (5), 357-373, 2005.
34T.V.S. Sekhar, R Sivakumar, TVR Ravi Kumar "Incompressible conducting flow in an applied magnetic field at large interaction parameters." Applied Mathematics Research eXpress 2005 (5), 229-248, 2005.
35T.V.S. Sekhar, R Sivakumar, TVR Ravi Kumar "Drag and pressure fields for the MHD flow around a circular cylinder at intermediate Reynolds numbers." Journal of Applied Mathematics 2005 (3), 183-203, 2005.
36T.V.S. Sekhar, R Sivakumar, Harish Kumar "Numerical study of steady flow past a sphere in an aligned magnetic field." Computational Methods in Applied Mathematics 4 (2), 215-227, 2004.
37T.V.S. Sekhar, R Sivakumar, and Harish Kumar. "MHD flow past a sphere at low and moderate Reynolds numbers." Computational Mechanics 31 (5), 437-444, 2003.
38CV Raghava Rao, T.V.S. Sekhar. "MHD flow past a circular cylinder–a numerical study." Computational mechanics 26 (5), 430-436, 2000.
39CV Raghava Rao, T.V.S. Sekhar. "Translation of a sphere in a rotating viscous fluid: a numerical study."International journal for numerical methods in fluids 20 (11), 1253-1262, 1995.
40CV Raghava Rao, T.V.S. Sekhar. "The flow past a spinning sphere in a slowly rotating fluid at small reynolds numbers—A numerical study." International journal of engineering science 31 (9), 1219-1231, 1993.
41CV Raghava Rao, T.V.S. Sekhar. "Numerical solution of the slow translation of a sphere moving along the axis of a rotating viscous fluid." International Journal of Computational Fluid Dynamics 1 (4), 351-359, 1993.

Conferences (International)

1Delivered a talk and chaired a session on the Recent Advances in Applied Mathematics (RAAM - 2025) conference during 4 - 6 March 2025, held at the University of Colombo, Sri Lanka.
2Delivered a talk and chaired a session at the 26th Congress of Theoretical and Applied Mechanics (ICTAM 2024) held at Daegu, South Korea, in August 2024.
3Delivered a talk at the 14th International Conference on Computational Heat and Mass Transfer (ICCHMT 2023) held at Dusseldorf, Germany, in September 2023.
4Delivered a talk at the International Conference on Recent Advances in Applied Mathematics (RAAM 2023) held at BITS Pilani, Dubai, in June 2023.
5Delivered a talk at the 19th International Conference on Computational and Mathematical Methods in Science and Engineering (CMMSE 2019) held at Rota, Cadiz, Spain, in July 2019.
6Delivered a talk at the International Conference on Computational Mathematical Methods in Engineering and Technology (iCOMET2017) held at the Royal Melbourne Institute of Technology University (RMIITU), Melbourne, Australia, in December 2017.
7Delivered a talk at the IMA conference on Numerical Methods for Simulation held at the Mathematical Institute, University of Oxford, UK, in September 2015.
8Delivered a talk on "Higher Order Compact Scheme to capture low pressures within a wake and heat transfer solutions in spherical geometry" at the Indo-German Conference held at TU Darmstadt, Germany, in September 2012.
9Madhumita Sahoo, Bapuji Sahoo, and T.V.S. Sekhar. "Natural Convection Heat Transfer Around a Sphere in a Rotating Fluid." International Conference on Computational Heat and Mass Transfer, 81-90, 2023.(Springer Book Chapter)
10N.B. Barik, and T.V.S. Sekhar. "Multilevel meshfree RBF-FD method for elliptic partial differential equations." Engineering Mathematics and Computing, 1-10, 2022. (Springer Book Chapter)
 

Academic Honors & Awards

  • Teaching Excellent Award from IIT Bhubaneswar in February 2016
  • Qualified GATE-1990, Awarded SRF of CSIR, Awarded RA of CSIR (All over India level selections)
 

Research Scholar

PhD Guidance:
 
Completed: 5
Ongoing: 3
 
  • Ongoing:
  1. Madhumita Sahoo
  2. Priyal Garg
  3. Ankit Dhara
  •  Awarded from IIT Bhubaneswar:
  1. Nikunja Bihari Barik 
  2. Samit Ghosh
  3. Bapujii Sahoo
  •  Awarded from Pondicherry Uneversity: 
  1. B. Hema Sundar Raju
  2. S. Vimala
List of Post Doctoral scholars guided:
  1. Dr. Subharthi Sarkar
  2. Dr. Bikash Mahato
  3. Dr. Bapuji Sahoo
 
M.Sc. Project Guidance:
 
  • Year 2014 - 15
  1. Mousumi Moi
  2. Sheerin Kayenat  
  • Year 2015 - 16
  1. Gaurav Saini
  2. K. M. Preeti
  • Year 2016 - 17
  1. Kumari Anchala
  2. Shankar Lal Bairwa
  3. Sachin Kumar
  • Year 2017 - 18
  1. Rahul Rana
  2. Kirandeep Kaur
  3. Anu Panwar 
  • Year 2018 - 19
  1. Satyam Singh
  2. Jagat Singh
  • Year 2020-21
  1. Monoj Kuri
  2. Hitendra Garg
  3. Mayuresh Raghunath Mali
  • Year 2021-22
  1. Kilaparti Sekhar
  2. Ravi Shankar
  • Year 2023-24
  1. Ankit Dhara
  2. Neelkanth Patel
  3. Dhiraj Shaw
  • Year 2024-25
  1. Rampati Kori
 
 
 

Professional Experience

                                                                                                                                           

Shortlisting / Selection Committee Member at IIT Bhubaneswar

  • Professor Shortlisting Committee Member, Department of Mathematics, Autumn 2024
  • Visiting Professor Shortlisting and Selection Committee Member, Department of Mathematics, Spring 2024
  • Faculty Recruitment Shortlisting Committee Member, Department of Mathematics, Spring 2024
  • Faculty Recruitment Shortlisting Committee Member, Department of Mathematics, Autumn 2023
  • Visiting Professor Shortlisting and Selection Committee Member, Department of Mathematics, Spring 2023
  • Faculty Recruitment Shortlisting Committee Member, Department of Mathematics, Spring 2022
  • Chairman, Shortlisting Committee, and Member, Selection Committee for Faculty Recruitment, SBS, Spring 2020
  • Chairman, Shortlisting Committee, and Member, Selection Committee for Faculty Recruitment, SBS, Autumn 2019
  • Chairman, Shortlisting Committee, and Member, Selection Committee for Faculty Recruitment, SBS, Spring 2019
  • Chairman, Shortlisting Committee, and Member, Selection Committee for Faculty Recruitment, SBS, Autumn 2018
  • Faculty Recruitment Shortlisting Committee Member, Department of Mathematics, Spring 2013
  • Chairman, Shortlisting Committee for the Post of JAO, Autumn 2012

Selection Committee Member (Outside IIT Bhubaneswar)

  • Faculty Recruitment Selection Committee Member, May 2025, VIT-AP, Andhra Pradesh
  • Faculty Recruitment Selection Committee Member, December 2024, NIT Meghalaya, Meghalaya
  • Faculty Recruitment Selection Committee Member, October 2023, NIT Warangal, Telengana
  • Faculty Recruitment Selection Committee Member, December 2022, NIT Jalandhar, Punjab
  • Faculty Recruitment Selection Committee Member, November 2022, held at Ravenshaw University, Cuttack, Odisha 
  • Faculty Recruitment Selection Committee Member, Jan 2022, Sri Sri University, Odisha
  • Faculty Recruitment Selection Committee Member, December 2020, Indira Gandhi Institute of Technology, Sarang, Odisha
 

Responsibilities at IIT Bhubaneswar

  • Member, Board of Governors of IIT Bhubaneswar, 01/01/2025 to Present
  • Head, School of Basic Sciences, 30/10/2017 to 12/05/2022
  • Senate Member, IIT Bhubaneswar, 30/10/2017 to Present
  • Senate Member, IIT Bhubaneswar, 24/09/2012  to 11/01/2015
  • Member, PGPEC, 30/10/2017 to 12/05/2022
  • Member, UGPEC, 30/10/2017 to 12/05/2022
  • Professor in Charge, Career Development Cell, July 2012 to June 2014
  • Coordinator, Covocation Reception committee, March 2018
  • Senate Nominee, Library Advisory Committee, 09/12/2016 to 09/12/2018
  • Institute representative for GATE – 2013 Organised by IIT Kharagpur
  • Institute representative for JEE(Advanced) - 2024
  • Member Standing Sub-Committee for the continuing Education Programme, November 2012
  • Seminar coordinator of School of Basic Sciences, Autumn 2012 and Spring 2013
 

PhD Adjudicator / External Examiner

 Year  Name of The Scholer  Role  Institute
 2025  Dipak Kumar Sahoo  Adjudicator and External examiner  IIT Kanpur
 2025  V.V.V.S.P.S. Srikanth  Adjudicator and External examiner  GITAM University Visakhapatnam
 2025  Madan Kumar  Adjudicator   GITAM University Visakhapatnam
 2025  D. Mahalakshmi  Adjudicator and External examiner  SRM University
 2025  Rupam Saha  Adjudicator and External examiner  NIT Silchar
 2024  T. Sujana  Adjudicator  Nagarjuna University
 2024  Sumant Kumar  Adjudicator  Defence Institute of Advanced Technology (DIAT), Pune
 2024  Swati Singh  Adjudicator and External examiner  IIT Dhanbad
 2024  D.V.N.S.R. Murthy  Adjudicator  Nannaya University, Andhra Pradesh
 2024  Lakshmi M.  Adjudicator and External examiner  VIT Vellore
 2024  Appalanaidu  Adjudicator and External examiner  JNTU Kakinada, A.P
 2024  Satyavathi  Adjudicator  JNTU Kakinada, A.P
 2023  Subhankar Nandi  Adjudicator and External examiner  IIT Madras, Chennai
 2023  P. Raja Shekar  Adjudicator  JNTU Anantapur 
 2023  Arindita Sahoo  Adjudicator and External examiner  NIT Jemshedpur
 2023  Chandra Mouli  Adjudicator and External examiner  JNTU Kakinada, A.P
 2023  Abha Kumari  Adjudicator and External examiner  NIT Jemshedpur
 2023   Vijaya Lakshmi  Adjudicator and External examiner  VIT -AP
 2022  Sasmay Nandi  Adjudicator and External examiner  NIT Meghalaya
 2022  Satya Kasibhotla  Adjudicator  JNTU Anantapur 
 2022  D. Appa Rao  Adjudicator  JNTU Kakinada
 2022  Akuri Sandhya  Adjudicator  JNTU Kakinada
 2021  Dipjyoti Nath  Adjudicator  NIT Silchar
 2021  Seidevi  Adjudicator  JNTU Hyderabad
 2021  L. Sivakami  Adjudicator and External examiner  SRM University
 2020  Omeshwar Reddy  Adjudicator  Omania University, Telengana
 2020  Saravana Sankar  Adjudicator  Bharathidasan University, Tiruchappalli
 2020  Bhuvaneshvar Kumar  Adjudicator and External examiner  IIT Dhanbad
 2019  Tangudu  Adjudicator and External examiner  NIT Warangal
 2019  Supraja S.  Adjudicator  JNTU Hyderabad
 2019  Y.V. Seshagiri Rao  Adjudicator   JNTU Hyderabad
 2018  MD Nahid  Adjudicator   JNTU Hyderabad
 2018  Saroja D. Vernekar  Adjudicator   JNTU Hyderabad
 2017  Subadra Nemani  Adjudicator and External examiner  JNTU Hyderabad
 2017  K. Jagadeshkumar  Adjudicator and External examiner  VIT Vellore
 2016  Amruta R. Daga  Adjudicator and External examiner  NIT Surat
 2016  K. Nirmala  Adjudicator and External examiner  JNTU Hyderabad
 2016  N. Santhana Krishnan  Adjudicator  SRM University Chennai
 2015  P. Vinod Kumar  Adjudicator  JNTU Hyderabad
 2015  G. Balaji Prakash  Adjudicator  GITAM University Visakhapatnam
 2015  Vamsi Krishna Narla  Adjudicator and External examiner  NIT Warangal
 2015  S. Vijaya Lakshmi  Adjudicator  JNTU Anantapur 
 2014  B. Mallikarjuna  Adjudicator  JNTU Anantapur 
 2014  Souren Misra  Adjudicator and External examiner  Indian Institute of Science (IISc) Bangalore
 2012  J. Jagan Mohan  External examiner  JNTU Kakinada
 

Professional Experience

20 years+
 
 

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