logo

DASA|ICCR|Study in India|QIP

Mathematics

Head of Department

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

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

Faculty

Back

Dr. Timir Karmakar Assistant Professor

Ph.D., IIT Kharagpur

tkarmakar@nitm.ac.in
https://nitmeghalaya.irins.org/profile/447707

Research Interest

Flow through anisotropic porous media, Fluid mechanics, Heat and mass transfer, PDE theory and applications, Asymptotic analysis and perturbation methods

Education Qualification

Ph.D., IIT Kharagpur

Professional Experience

Assistant Professor                                                                                                                                                     Jan 2020 - Till date

Department of Mathematics, National Institute of Technology Meghalaya, India

Research Experience

Postdoctoral Research Associate                                                                                                                             Oct 2019 - Jan 2020

Department of Mathematics, Indian Institute of Technology Kharagpur

Project Assistant                                                                                                                                                          Jan 2019 - Sep 2019

Department of Mathematics, Indian Institute of Technology Kharagpur

Senior Research Fellow                                                                                                                                                             2015 - 2018

Department of Mathematics, Indian Institute of Technology Kharagpur

Junior Research Fellow                                                                                                                                                                2013 - 2015

Department of Mathematics, Indian Institute of Technology Kharagpur

Sponsored Research Project

Project name: Modeling of endothelial glycocalyx (EGL) and transport of low-density lipoprotein (LDL) in artery: anisotropic porous medium approach, Duration- 2 years, Amount: 13,73,372, File no: SRG/2021/000400, under SERB-DST, 2022,

Principal Investigator: Timir Karmakar, NIT Meghalaya

Publications (recent first)

17. Sanchita Pramanik and Timir Karmakar (2024). Couette-Poiseuille Flow of Variable Viscosity in a Multilayered Channel Partially Filled With a Homogeneous Anisotropic Porous Layer: Role of The Glycocalyx in Attenuating Shear Stress on Endothelial Cells, Physics of Fluids (American Institute of Physics),  36, 033615. 

16. Timir Karmakar, Meraj Alam, Motahar Reza and G. P. Raja Sekhar (2023). Couette-Poiseuille Flow in a Fluid Overlying an Anisotropic Porous Layer, Computers and Mathematics with Applications (Elsevier), 151, 346-358.

15. Abdush Salam Pramanik, Bibaswan Dey, Timir Karmakar and Kalyan Saha (2023). Two-phase Modeling of Fluid Injection Inside Subcutaneous Layer of Skin, International Journal of Engineering Science (Elsevier), 192, 103935, https://doi.org/10.1016/j.ijengsci.2023.103935. 

14. Osamu Sano, Timir Karmakar and G. P. Raja Sekhar (2023).  Viscous flow around three-dimensional macroscopic cavities in a granular material: asymptotic theory for two sufficiently distant spherical cavities of arbitrary configuration, Journal of Fluid Mechanics (Cambridge University Press), 964, A6.

13. Timir Karmakar, Swarup Barik and G. P. Raja Sekhar (2023). Multiscale Analysis of Concentration Distribution in Unsteady Couette-Poiseuille Flows Through a Porous Channel, Proceedings of The Royal Society A (The Royal Society), 479, 20220494.

12. Timir Karmakar, Meraj Alam and G. P. Raja Sekhar (2022). Analysis of Brinkman-Forchheimer extended Darcy’s model in a fluid saturated anisotropic porous channel, Communications on Pure and Applied Analysis (American Institute of Mathematical Sciences), doi.org/10.3934/cpaa.2022001.

11. Osamu Sano, Timir Karmakar and G. P. Raja Sekhar (2022). Viscous flow around 3D macroscopic cavities in a granular material, Journal of Fluid Mechanics (Cambridge University Press), 931(A20) .

10. Timir Karmakar (2021). Physics of unsteady Couette flow in an anisotropic porous medium, Journal of Engineering Mathematics (Springer), 130, 1-26.

9. Nirupam Ghosh, Timir Karmakar and G. P. Raja Sekhar (2021). Application of conformal mapping to two-dimensional flows in an anisotropic aquifer, Indian Journal of Pure and Applied Mathematics (Springer), 1-10.

8. Timir Karmakar, Motahar Reza and G. P. Raja Sekhar (2019). Forced convection in a fluid saturated anisotropic porous channel with isoflux boundaries, Physics of Fluids (American Institute of Physics), 31, 117109.

7. Chandra Sekhar Nishad, Timir Karmakar, Anirban Chandra and G. P. Raja Sekhar (2019). A non-primitive boundary integral formulation for modeling flow through composite porous channel, Engineering Analysis with Boundary Element (Elsevier), 109, 94-105.

6. Timir Karmakar and G. P. Raja Sekhar (2018). Squeeze-film flow between a flat impermeable bearing and an anisotropic porous bed, Physics of Fluids (American Institute of Physics), 30, 043604.

5. Chandra Sekhar Nishad, Anirban Chandra, Timir Karmakar and G. P. Raja Sekhar (2018). A non-primitive boundary element technique for modeling flow through non-deformable porous medium using Brinkman equation, Meccanica (Springer), 53, 2333-2352.

4. Timir Karmakar and G. P. Raja Sekhar (2017). Effect of anisotropic permeability on convective flow through a porous tube with viscous dissipation effect, Journal of Engineering Mathematics (Springer), 110, 15-37.

3. Timir Karmakar and G. P. Raja Sekhar (2017). A note on flow reversal in a wavy channel filled with anisotropic porous material, Proceedings of The Royal Society A (The Royal Society), 473, 20170193.

2. Timir Karmakar and G. P. Raja Sekhar (2016). Lifting a large object from an anisotropic porous bed, Physics of Fluids (American Institute of Physics), 28, 093601.

1. Timir Karmakar and G. P. Raja Sekhar (2016). Effect of anisotropic permeability on fluid flow through composite porous channel, Journal of Engineering Mathematics (Springer), 100, 33-51.

Conference Presentations

6. Timir Karmakar, Physics of unsteady Couette-Poiseuille flow in an anisotropic porous medium, 88th Annual Conference of The Indian Mathematical Society An International Meet, Dec 27-30, 2022, BIT Mesra, Ranchi, India.

5. Timir Karmakar and G. P. Raja Sekhar, Squeeze-film flow in the presence of a thin anisotropic porous bed: an application to knee joint, 13th World Congress on Computational Mechanics, 2nd Pan American Congress on Computational Mechanics, New York, USA (2018).

4. Timir Karmakar and G. P. Raja Sekhar, Modeling of fluid flow inside a knee joint, TOPAS-2017, A National Conference on Engineering Mathematics, IIT Kharagpur (2017).

3. Timir Karmakar and G. P. Raja Sekhar, Lifting a large object from an anisotropic porous bed, 24th International Congress of Theoretical and Applied Mechanics, Montreal, Canada (2016).

2. Timir Karmakar, G. P. Raja Sekhar, On flow through wavy channel filled with anisotropic porous material, 60th Indian Society of Theoretical and Applied Mechanics, MNIT Jaipur (2015).

1. Timir Karmakar and G. P. Raja Sekhar, Effect of anisotropic permeability on fluid flow through a channel with symmetric anisotropic porous layers, 59th Indian Society of Theoretical and Applied Mechanics, Alliance University, Bangalore (2014).

Courses Taught/Teaching

M.Sc: Partial Differential Equations, Ordinary Differential Equations, Numerical Analysis, Computational Fluid Dynamics, Numerical Solutions to PDEs, Linear Algebra, Integral Transforms and Integral Equations

B.Tech: Numerical Methods in Computing, Integral Transforms and PDEs, Integral Calculus and Complex Variables

M.Tech & Ph.D: Advanced Engineering Mathematics

Award/Academic Achievements

A.M. Mathai Award from the Indian Mathematical Society for the year 2022.

Qualified in Council of Scientific and Industrial Research (CSIR) Fellowship, 2014

Qualified in Graduate Aptitude Test in Engineering (GATE), 2013

Qualified in Joint Admission Test for M.Sc. (JAM), 2011

Administrative Responsibility

Institute Level

  1. Nodal Officer for coordinating online courses like SWAYAM, NPTEL, etc., from 27.05.2024 -Till Date.
  2. Member Secretary of Anti-Ragging Cell, NIT Meghalaya from 05.09.2023-Till Date.
  3.  Co-Faculty In charge of Outdoor Sports Club, NIT Meghalaya, 2023.
  4. Warden of Polo Boys Hostel, NIT Meghalaya, from 01.07.2022 to 30.06.2023.

Departmental Level

  1.  Faculty Advisor of M.Sc. 2022 Batch-Till Date.
  2.  Faculty Advisor of M.Sc. 2020 Batch for Two Years.

 

Students Supervised/Supervising

M.Sc.

Ø  Utkarsh Garg; Topic: Revisiting Stokes First and Second Problem, 2021.

Ø  Manisha Giri; Topic: Perturbation Analysis: Regular and Singular, 2021.

Ø  Mayuri Lahon; Topic: A Regular Perturbation Solution for Couette Flow Inside a Wavy Channel, 2022.

Ø  Ibakitbok Iawphniaw; Topic: Analytical Solutions for Stokes Problem for Fluids of Brinkman Type, 2023.

Ø Somnath Khetrapal ; Topic: On Some Novel Methods of Solving Singular Perturbation Problems, 2024.

Ph. D.

Ø  Sanchita Pramanik; Topic: Low Reynolds Number Hydrodynamics, Joined-2022 (Ongoing)

Project Fellow

Ø  Mayuri Lahon; Topic: Modeling of endothelial glycocalyx (EGL) and transport of low-density lipoprotein (LDL) in artery: anisotropic porous medium approach, 2023 (Ongoing).

Member of Professional Bodies

Life Member

Indian Society of Theoretical and Applied Mechanics (ISTAM)

Life Member

Indian Mathematical Society (IMS)

Paper Reviewed for Journals

Ø  Physics of Fluids (American Institute of Physics)

Ø  Scientific Report (Springer-Nature)

Ø  Acta Applicandae Mathematicae (Springer)

Ø  Journal of Applied Mathematics and Mechanics; ZAMM (Wiley)

Ø  Numerical Heat Transfer (Taylor & Francis)

Ø  International Journal of Computational and Applied Mathematics (Springer)