Information
Room No:
MA-207, First Floor, Department of Mathematics
+91-870-2462833
pm@nitw.ac.in
https://scholar.google.co.in/citations?user=9sb79cAAAAAJ&hl=en
Bio Sketch
Key Notes
- Journal(s): 42
- Conference(s): 21
- Book Chapter(s): 2
- PhD: Current - 6 Awarded - 5
- Event(s) Organized: Conference - 1 FDP - 2
65
PUBLICATIONS11
DOCTORAL STUDENTS2
PROJECTSResearch Areas
Biomechanics
Computational Fluid Dynamics
Epidemic Modelling
Flow through Porous Media
Heat and Mass Transfer
Homotopy Analysis Method
Hydrodynamic Lubrication
Mathematical Biology
Micropolar and Couple Stress Fluid Flows
Non-Newtonian Fluid Mechanics
EDUCATION QUALIFICATION
| Degree | Institute | Year |
|---|---|---|
| Post-Doctoral Fellow | Tohoku University, JAPAN | 2004 |
| Doctor of Philosophy | Indian Institute Of Technology, Kanpur | 2002 |
| Bachelor of Science | Madurai Kamaraj University, Madurai | 1992 |
| Master of Science | Anna University, Chennai | 1992 |
COURSES HANDLED
| Course | L-T-P | Credit | Degree Level |
|---|---|---|---|
| Ordinary Differential Equations(MA16003) | 3-0-0 | 3 | UG, PG |
| Fuzzy Logic and Applications(MAM05) | 3-0-0 | 3 | UG |
| Theory of Ordinary Differential Equations(MAI402) | 3-0-0 | 3 | UG |
| Transformation Techniques and Partial Differential Equations(MA1172) | 3-1-0 | 4 | UG |
| Integral and Vector Calculus, Laplace Transforms(MA1162) | 3-0-0 | 3 | UG |
| Advanced Linear Algebra(MAI404) | 3-0-0 | 3 | UG |
| Mathematical Foundations for Machine Learning(MAM01) | 3-0-0 | 3 | UG |
| Numerical Methods and Statistics(MA282) | 3-0-0 | 3 | UG |
| Theory of Complex Variables(MA26028) | 3-0-0 | 3 | PG |
| Numerical Linear Algebra(MA4202) | 3-0-0 | 3 | PG |
| Ordinary Differential Equations(MA4102) | 3-0-0 | 3 | PG |
| Vector Calculus(MAI261) | 3-0-0 | 3 | UG |
| Computational Linear Algebra(MA162) | 3-0-0 | 3 | UG |
| Fuzzy Mathematics and Applications(MA5264) | 3-0-0 | 3 | PG |
| Complex Analysis(MA4153) | 3-0-0 | 3 | PG |
RESEARCH IDs
ORC ID
Google Scholar ID
PUBLICATIONS
Journal(s)
Buoyant Magneto-Convection in an Internally Heated Anisotropic Porous Cavity with Sinusoidal Boundary Flux,
By Manisha Jangir, Poosan Muthu, Jaya Krishna Devanuri ,
Wiley,
International Journal for Numerical Methods in Fluids,
vol.Dec 2025,
pp.,
2025
Effects of Slip and Magnetic Fields on the Oscillatory Flow of Jeffrey Fluid in an elastic tube,
By A. Samatha and P. Muthu ,
WSEAS,
WSEAS Transactions on Fluid Mechanics,
vol.,
pp.,
2025
Stability of in-host models of dengue virus transmission with linear and nonlinear infection rate,
By P. Muthu and Bikash Modak,
(SPRINGER),
Differential Equations and Dynamical Systems,
vol.33,
pp.1019-1045,
2025
Mathematical modelling of an oscillatory flow in an elastic tube with suction/injection,
By Ferqunda Tabassum, P. Muthu and J.S.V.R. Krishna Prasad ,
IIETA,
Mathematical Modelling of Engineering Problems,
vol.12,
pp.295-308,
2025
Oscillatory Flow and Solute Transport in an Elastic Tube under the Influence of Suction/Injection,
By Ferqunda Tabassum
& P. Muthu ,
PLEIADES PUBLISHING,
Computational Mathematics and Mathematical Physics,
vol.65,
pp.1945-1964,
2025
Analysis of fluid flow in curved pipes using homotopy analysis method,
By Antara Wajpe and Muthu Poosan ,
Wiley,
Z Angew Math Mech. ,
vol.105,
pp.Issue 8,
2025
Effect of Viscosity Variation on Slider Bearing Lubrication,
By Muthu, P., and Pujitha, V.,
IMS,
The Journal of the Indian Mathematical Society,
vol.92,
pp.627-644,
2025
Investigation of SIR Model with two Susceptible Classes,
By Bikash Modak, Namita Singh, P. Muthu,
FSRTI,
J. Innovation Sciences and Sustainable Technologies,
vol.4,
pp.31-51,
2024
Stochastic SIV in-host model of dengue virus transmission,
By P. Muthu and Bikash Modak,
(SPRINGER),
International Journal of Dynamics and Control,
vol.12,
pp.1003-1016,
2024
Mathematical modelling of an oscillatory flow of a Casson fluid in an elastic tube with suction/injection,
By P. Muthu and Samatha Adepu,
Hilaris,
Journal of Applied and Computational Mathematics,
vol.13,
pp.,
2024
Stochastic approach to a delayed in-host model of DENV transmission,
By Bikash Modak, P. Muthu,,
IOP,
Physica Scripta,,
vol.99,
pp.075006,
2024
Optimal control and bifurcation analysis of SEIHR model for COVID-19 with vaccination strategies and mask efficiency,
By P. Muthu and A. Praveen Kumar,
De Gruyter,
Computational & Mathematical Biophysics,
vol.12,
pp.20230113,
2024
Mathematical model of fluid flow in a double constricted tapered tube with permeable boundary,
By M. Varunkumar and P. Muthu,
De Gruyter,
International Journal of Nonlinear Sciences and Numerical Simulation,
vol.24,
pp.2023-2034,
2023
Fluid flow and solute transfer in linearly converging/diverging tubes with permeable boundaries,
By M. Varunkumar,
P. Muthu and
S. Srinivas,
Shahid Chamran University of Ahvaz,
Journal of Applied and Computational Mechanics,
vol.9,
pp.900-914,
2023
Within-host models of dengue virus transmission with immune response,
By P. Muthu and Bikash Modak,
De Gruyter Open Access,
Computational and Mathematical Biophysics,
vol.11,
pp.20220150,
2023
Significance of Lorentz Force & Viscous Dissipation on the Dynamics of Propylene Glycol: Water Subject to Joule Heating Conveying Paraffin Wax and Sand Nano particles Over an Object with a Variable Thickness,
By SVSubrahmanyam,G.Revathi
P. Muthu,
MJ Babu and
IL Animasaun,
(SPRINGER),
Arabian Journal for Science and Engineering,
vol.47,
pp.15505,
2022
Study of A Delayed SIVA Within-Host Model of Dengue Virus Transmission,
By P. Muthu and Bikash Modak,
The Indonesian Biomathematical Society,
Communication in Biomathematical Sciences,
vol.5,
pp.101-120,
2022
Mathematical model of fluid flow and solute transfer in a permeable channel with slip velocity at the boundaries,
By GRK Acharya, P. Muthu and M. Varunkumar
,
Springer,
Proceedings of the National Academy of Sciences, India, Section - A : Physical Sciences,
vol.91,
pp.611-622,
2021
Effect of Magnetic field and non-uniform surface on squeeze film lubrication,
By P. Muthu and V. Pujitha
,
L & H Scientific Publishing ,
Journal of Applied Nonlinear Dynamics,
vol.9,
pp.223-230,
2020
Fluid flow and solute transfer in a permeable tube with influence of slip velocity,
By M. Varunkumar and P. Muthu,
L & H Scientific Publishing ,
An interdisciplinary journal of Discontinuity, Nonlinearity, and Complexity,
vol.9,
pp.153-166,
2020
Effect of concentration dependence of viscosity on squeeze film lubrication,
By P. Muthu and V. Pujitha
,
De Gruyter,
Zeitschrift für Naturforschung - A ,
vol.75,
pp.533-542,
2020
Mathematical model of flow in a doubly constricted permeable channel with effect of slip velocity wall,
By P. Muthu and M. Varunkumar,
L & H Sci Pub,
Journal of Applied Nonlinear Dynamics,
vol.8,
pp.655-666,
2019
Fluid flow and solute transfer in a tube with Variable wall permeability,
By M. Varunkumar and P. Muthu,
De Gruyter,
Zeitschrift für Naturforschung - A ,
vol.74,
pp.1057-1067,
2019
Effect of Magnetic Field on the Squeeze Film Between Anisotropic Porous Rough Plates,
By P. Muthu and
V. Pujitha
,
(SPRINGER),
Numerical Heat Transfer and Fluid Flow,
vol.,
pp.,
2019
Flow in a channel with an overlapping constriction and permeability,
By P. Muthu and M. Varunkumar,
Begell House,
International Journal of Fluid Mechanics Research,
vol.43,
pp.141-160,
2016
Fluid Flow in an asymmetric channel of variable cross-section with slip condition at the wall,
By Syed Waseem Raja, M V Ramana Murthy,
P. Muthu and Mohd. Abdul Rahim
,
Australian Research Journal,
Australian Journal of Engineering and Technology Research,
vol.1,
pp.43-62,
2016
Flow in a rigid channel with varying cross- section and permeable boundaries under Starlings hypothesis,
By Tesfahun Berhane and P. Muthu ,
I K Press,
Asian Journal of Mathematics and Computer Research,
vol.2,
pp.171-183,
2015
Mathematical model of flow in a tube with an overlapping constriction and permeability,
By P. Muthu and M Varunkumar,
Science Direct(ELSEVIER),
Proceedia Engineering,
vol.127,
pp.1165-1172,
2015
Effect of Slip velocity on the fluid flow in a channel of varying cross section ,
By Syed Waseem Raja, M V Ramana Murthy, P. Muthu and Mohd. Abdul Rahim,,
The Society for the Progress of Science,
Acta Ciencia Indica Mathematics,
vol.3,
pp.,
2014
Flow through Non-uniform channel with permeable wall and slip effect,
By P. Muthu and Tesfahun Berhane,
Begell House,
Special Topics and Reviews in Porous Media (STRPM) - An international Journal,
vol.3,
pp.321-328,
2012
Flow generated due to longitudinal and torsional oscillations of a circular cylinder with suction/injection in a micropolar fluid,
By J. V. Ramana Murthy, G. Nagaraju and P. Muthu,
Tamkank Univ,
Tamkang Journal of Mathematics,
vol.43,
pp.339-356,
2012
Fluid flow in an asymmetric channel,
By P. Muthu and Tesfahun Berhane,
Tamkank Univ,
Tamkang Journal of Mathematics, Taiwan,
vol.42,
pp.149-162,
2011
Flow of Newtonian fluid in non-uniform tubes with application to renal flow : A Numerical study,
By P. Muthu and Tesfahun Berhane,
Global Sci,
Advances in Applied Mathematics and Mechanics,
vol.3,
pp.633-648,
2011
Mathematical model of flow in renal tubules,
By P. Muthu and Tesfahun Berhane,
Research India,
International Journal of Applied Mathematics and Mechanics,
vol.6,
pp.94-107,
2010
Finite difference solutions for MHD flow of couple stress fluid between two concentric rotating cylinders with porous lining,
By J. V. Ramana Murthy, P. Muthu and G. Nagaraju,
Research India,
Int. Jr. Applied Maths and Mech,
vol.6,
pp.1-28,
2010
Numerical solution of longitudinal and torsional oscillations of a circular cylinder with suction in a couple stress fluid,
By J. V. Ramana Murthy, G. Nagaraju and P. Muthu,
Science Direct(ELSEVIER),
ARPN Journal of Engineering and Applied Sciences,
vol.5,
pp.51-63,
2010
Fluid Flow in a rigid wavy non-uniform tube: Application to flow in renal tubules,
By P. Muthu and Tesfahun Berhane,
Science Direct(ELSEVIER),
ARPN Journal of Engineering and Applied Sciences,
vol.5,
pp.15-21,
2010
Peristaltic motion of micropolar fluid in circular cylindrical tubes with wall properties,
By P. Muthu, B V Rathish Kumar, Peeyush Chandra,
Science Direct(ELSEVIER),
Applied Mathematical Modelling,
vol.32,
pp.2019-2033,
2008
A study of micropolar fluid in an annular tube with application to blood flow,
By P. Muthu, B V Rathish Kumar, Peeyush Chandra,
(World Scientific),
Journal of Mechanics in Medicine and Biology,
vol.8,
pp.561-576,
2008
Effect of elastic wall motion on oscillatory flow of micropolar fluid in an annular tube,
By P. Muthu, B V Rathish Kumar, Peeyush Chandra,
(SPRINGER),
Archive of Applied Mechanics,
vol.73,
pp.481-494,
2003
On the influence of wall properties in the peristaltic motion of micropolar fluid,
By P. Muthu, B V Rathish Kumar, Peeyush Chandra,
C U P,
The ANZIAM Journal,
vol.45,
pp.1317-1328,
2003
Peristaltic motion in circular cylindrical tubes : Effect of wall properties,
By P. Muthu, B V Rathish Kumar, Peeyush Chandra,
(SPRINGER),
Indian Journal of Pure and Applied Mathematics,
vol.32,
pp.9,
2001
Conference(s)
Stochastic approach to a delayed in-host model of DENV transmission
By P. Muthu and Bikash Modak,
Joint Annual Meeting of the Korean Society for Mathematical Biology (KSMB) and the Society for Mathematical Biology (SMB)-2024 (Mathematics meets life science and medicine),
2024
Mathematical model of fluid flow and solute transfer in glomerular capillaries
By P. Muthu,
8 th China India Japan Korea (CIJK) Conference,
2023
Model of in-vivo dengue virus transmission with immune response
By P. Muthu and Bikash Modak ,
Indian Society of Mathematical Modelling & Computer Simulation (ISMMACS),
2022
Model of in-vivo dengue virus transmission with immune response
By P. Muthu and Bikash Modak,
International Conference on Advances in Biomathematics (ICABM-2022),
2022
Effect of porosity in the presence of external magnetic field on squeeze film lubrication
By P. Muthu and V. Pujitha,
National Conference on Mathematical Modelling in Science and Engineering (MMSE- 2018),
2018
Effect of Magnetic Field on the Squeeze Film Between anisotropic Porous Rough Plates
By P. Muthu and V. Pujitha,
International Conference on Numerical Heat Transfer and Fluid Flow,
2018
Mathematical model of fluid flow and solute transfer in a permeable tube with influence of slip velocity
By P. Muthu and M.Varunkumar,
National Conference on Mathematical Modelling in Science & Engineering (MMSE- 2018),
2018
Effect of porosity in the presence of external magnetic field on squeeze film lubrication
By P. Muthu and V. Pujitha,
National Conference on Mathematical Modelling in Science & Engineering (MMSE- 2018),
2018
Mathematical model of fluid flow and solute transfer in a permeable tube with influence of slip velocity
By P. Muthu and M. Varunkumar,
National Conference on Mathematical Modelling in Science and Engineering (MMSE- 2018),
2018
Hydrodynamic squeeze film between anisotropic porous rough plates
By P. Muthu and V. Pujitha,
6 th China India Japan Korea Mathematical Biology Colloquium Cum Conference,
2017
Oscillatory flow in elastic tubes of varying cross-section with suction/injection
By J. S. V. R. Krishna Prasad and P. Muthu,
International Conference on Mathematical Modelling, Differential Equations, Scientific Computing & Applications,
2016
Mathematical model of flow in a doubly constricted channel with permeability
By P. Muthu and M.Varunkumar,
International Conference on Mathematical and Computational Biology,
2015
Mathematical model of flow in a doubly constricted channel with permeability - Combined effect of straight and curved boundaries
By P. Muthu and M.Varunkumar,
International Conference on Recent Advances in Mathematical Biology, Analysis and Applications,
2015
Mathematical model of flow in a tube with an overlapping constriction and permeability
By P. Muthu and M.Varunkumar,
International Conference on Computational Heat and Mass Transfer (ICCHMT - 2015),
2015
Numerical solution of a fluid flow in a non-uniform channel : Application to renal flow
By P. Muthu and Tesfahun Berhane,
International Conference on Computational Mathematics, Statistics and Data Engineering, the World Academy of Science, Engineering and Technology,
2012
Flow through a rigid non-uniform wavy tube with permeable wall
By P. Muthu and Tesfahun Berhane,
ISTAM,
2011
Oscillatory flow of micropolar fluid in an annular tube with constriction – Application to catheterized artery with stenosis
By P. Muthu, B.V.Rathish Kumar and Peeyush Chandra,
Symposium on Recent Advances in Mathematical Sciences,
2007
A study of micropolar fluid in an annular tube with application to blood flow
By P. Muthu, B V Rathish Kumar, Peeyush Chandra,
XV International conference on Mechanics in Medicine and Biology,
2006
Integrated biomechanics simulation system for Cardiovascular Medicine
By T. Hayasaka, J. Funabiki, M. Matsumoto, P. Muthu,
T. Yamaguchi,
Proceedings of the World Congress on Medical Physics and Biomedical Engineering, ,
2003
On the influence of wall properties in the peristaltic motion of micropolar fluid
By P. Muthu, B.V.Rathish Kumar and Peeyush Chandra,
Conference on Mathematical Modelling ,
2002
Finite Element Analysis of Natural Convection in a thermally stratified fluid saturated porous medium
By B V Rathish Kumar, P Singh, S Datta and P Muthu,
40 th ISTAM Conference - An International Meet, at MACT, Bhopal, India,,
1995
Book Chapter(s)
Effect of Magnetic Field on the Squeeze Film Between Anisotropic Porous Rough Plates
By P. Muthu and V. Pujitha in
Numerical Heat Transfer and Fluid Flow,
Springer Nature Singapore Pvt Ltd,
Proceedings,
2019
Mathematical model of flow in a doubly constricted channel with permeability - Combined effect of straight and curved boundaries
By P. Muthu and M. Varunkumar in
Applied Analysis in Biological and Physical Sciences,
Springer Proceedings in Mathematics and Statistics,
Proceedings,
2016
PROJECT / CONSULTANCY
International Travel Grant
Role:
Principal Investigator
Type: Research
Sponsor: ITS, SERB (ANRF)
Project Cost (INR): 76708
Date of Commencement: 30-06-2024 Date of Completion: 05-07-2024
Duration: 1 Months
Status: Completed
Type: Research
Sponsor: ITS, SERB (ANRF)
Project Cost (INR): 76708
Date of Commencement: 30-06-2024 Date of Completion: 05-07-2024
Duration: 1 Months
Status: Completed
Computer simulation of flow in curved tubes: Application to blood flow in aorta
Role:
Principal Investigator
Type: Research
Sponsor: MHRD, under RSM-NIT Warangal
Project Cost (INR): 210000
Date of Commencement: 01-09-2012 Date of Completion: 01-07-2013
Duration: 10 Months
Status: Completed
Type: Research
Sponsor: MHRD, under RSM-NIT Warangal
Project Cost (INR): 210000
Date of Commencement: 01-09-2012 Date of Completion: 01-07-2013
Duration: 10 Months
Status: Completed
RESEARCH FELLOWS / PhD STUDENTS
Current PhD Students
Anagandula Praveen Kumar
Area of Research:
Epidemic Modelling
Antara Avinash Wajpe
Area of Research:
Biofluid Mechanics, C F D
Dhritideepa Saha
Area of Research:
Mathematical Biology
Manisha Jangir
Area of Research:
Computational Fluid Dynamics
Pallabi Banerjee
Area of Research:
Mathematical Biology
Samatha A
Area of Research:
Biofluid Mechanics
Previous PhD Students
Ferqunda Tabassum
(2025)
Area of Research:
Biofluid Mechanics
Bikash Modak
(2024)
Area of Research:
Mathematical Models of Within-host Dengue Virus Transmission
Pujitha Vanacharla
(2022)
Area of Research:
Mathematical Models of Synovial Joint Lubrication
Varunkumar Merugu
(2018)
Area of Research:
Some Mathematical Models of Flow in Renal Tubules and Solute Transfer in Glomerular Capillaries
Tesfahun Berhane
(2012)
Area of Research:
Some mathematical models of flow in renal tubules
CONFERENCE / WORKSHOP / SYMPOSIUM / SHORT TERM COURSE / FACULTY DEVELOPMENT PROGRAMME
National Conference on Mathematical Modeling in Science and Engineering (MMSE 2018)
27-Mar-2018
→
28-Mar-2018
Event Type:
Conference
Role: Coordinator
Funding Agency: Self‑sponsored
Role: Coordinator
Funding Agency: Self‑sponsored
MATRIX COMPUTATION AND NUMERICAL TECHNIQUES IN SCIENCE AND ENGINEERING (CEP - MCNTSE),
29-Oct-2018
→
02-Nov-2018
Event Type:
Faculty Development Programme
Role: Coordinator
Funding Agency: TEQIP-III, NIT W
Role: Coordinator
Funding Agency: TEQIP-III, NIT W
Teaching and Learning Strategies of Differential Equations and Applications in Science and Engineering
28-Dec-2020
→
01-Jan-2021
Event Type:
Faculty Development Programme
Role: Coordinator
Funding Agency: TLC, NIT W
Role: Coordinator
Funding Agency: TLC, NIT W
AWARDS AND ACCOLADES
2024
Appreciation Certificate
2020
Life Member
Life Member
2018
Life Member
2012
Summer Research Fellow - 2012
1997
Student Membership
1995
Institute Fellowship, I I T Kanpur
ADDITIONAL RESPONSIBILITIES
- Professor In charge, Curriculum Committee, Dept. of Mathematics, NIT Warangal (Continuing from August, 2025)
- Faculty Adviser, I year MSc (Mathematics & Sci. Comp) Program (Continuing from July, 2025)
- Professor In charge, Institute Time Tables, NIT Warangal (Continuing from July, 2025)
- Professor In Charge, Departmental Infrastructure (Continuing from June, 2025)
- Chairman, Departmental Academic Performance Oversight Committee (DAPOC) (Continuing from February, 2025)
- Faculty Adviser, MSc Applied Mathematics Program (July, 2023 - July, 2024)
- Member, Department Academic Review Committee (July, 2023 - July, 2024)
- ERP Coordinator, Department of Mathematics (April, 2023 - July, 2025)
- ERP Coordinator (November, 2021 - August, 2024)
- Head of the Department (January, 2020 - January, 2022)
- Faculty In-charge, Institute Time Tables (April, 2018 - May, 2020)
- Warden, NIT Hostels (July, 2012 - July, 2014)
- Warden, NIT Hostels (July, 2008 - February, 2011)
Last updated on January 10, 2026