For more information, see Faculty Profile

- Fluid Mechanics
- Operations Research
- Applied Statistics (recent)

- Lecturer in the Department of Mathematics, Dr. M. G. R. Engineering College, Madras, during 16
^{th}92 – 31^{st}Dec.93

- Faculty Member in the Department of Mathematics & Computer Applications, Regional Engineering College, Tiruchirappalli during 16
^{th}94 – 17^{th}Dec.96

- Lecturer in the Department of Mathematics & Computer Applications, Regional Engineering College, Tiruchirappalli during 18
^{th}96 – 17^{th}Dec. 2000

- Senior Lecturer in Department of Mathematics, National Institute of Technology, Tiruchirappalli during 18
^{th}2000 – 30^{th}June 2006

- Assistant Professor in the Department of Mathematics, National Institute of Technology, Tiruchirappalli from 1
^{st}July 2006 – 30^{th}June 2009

- Associate Professor in the Department of Mathematics, National Institute of Technology, Tiruchirappalli from 1
^{st}July 2009 – 11^{th}March 2018

- Professor in the Department of Mathematics, National Institute of Technology, Tiruchirappalli from 12
^{th}March 2018 onwards

- Ph. D. (Applied Mathematics) from Anna University in 1992

- Title of the thesis: Buoyancy induced boundary layer flows

- Supervisor: Professor G. Ramanaiah F. N. A. Sc.

- M.Phil.(Mathematics) from Anna University in 1989 with 79%
- M. Sc. (Applied Mathematics) from MIT, Madras in 1986 with 85%
- B. Sc. (Mathematics) from Pachaiyappa’s College, Madras in 1984 with 69%
- H. Sc. from Govt. Hr. Sec. School, Anantapuram, Tamilnadu in 1981 with 69%
- S. S. L. C. from Govt. Hr. Sec. School, Anantapuram in 1979 with 76%

*Sc. (Mathematics) Academic Committee Chairman during 2020 to till date**Associate NCC Officer*in NIT-T during July 1997 – Feb. 2009 (**5 Years**)*Associate Dean (R & C)*during Jan. 2010 – 14th 2010*Coordinator*for UG I year Mathematics courses – few times*Staff advisor*for a NITT-Fest*Security Committee Member*for many NIT-T programmes as NCC officer

Research papers reviewed for the international journals

*International Journal of Heat Mass Transfer*(Elsevier, SCI, 2020 IF: 5.431)*Heat Mass Transfer*(Springer, SCI, 2020 IF: 2.464)*Boundary Value Problems*(Springer/Hindawi, open access, 2010 IF: 1.047)*Chemical Engineering Communications*(Taylor & Fransis, SCI, 2020 IF: 2.494)*International Journal of Thermal Sciences (Elsevier, SCI Expanded, 2020 IF: 4.779)**Journal of Applied Mathematics*(Hindawi, WoS, Scopus)*Journal of Applied Math. and Computing*(Springer, SCI Expanded, 2020 IF: 1.686)*Zeitschrift für Naturforschung A – Physical Sciences*(De Gruyter, SCI, 2020 IF 1.426)*Journal of Computer Mathematics*(Taylor & Fransis, SCI Expanded, 2020 IF: 1.931)*in Nonlinear Sci. Numer. Simulation (Elsevier, SCI Expanded, 2020 IF: 4.186)**Brazilian J. of Chemical Engg.*(Springer, SCI Expanded, 2020 IF: 1.232)*Bulletin of Malaysian Mathematical Sciences*, Malaysia (Springer, SCI Expanded, 2020 IF 1.554).*Annals of Operations Research (Springer, SCI, 2020 IF 4.854)*

- PSGR Krishnammal college for women, Coimbatore

*K.S.R. College of Engineering*, Tiruchengode

*Satyabama Institute of Science and Technology, Chennai*

- Sc. 1st rank in Anna University

- Narasinga Rao Prize for the best student in Operations Research group in M. Sc.

- Obtained CSIR-RA in 1992

- Reviewer for more than 15 reputed international journals

- Got commissioned as 'Pilot Officer' in 1998 and as 'Flying Officer' in 2001

- Qualified in UGC-JRF in August 1986

- Qualified in CSIR- JRF in November 1986

- Curriculum Development

- Involved in UG Mathematics curriculum development

- Involved in PG Mathematics curriculum development

- Courses taught at Postgraduate and Undergraduate levels

- UG level: Engineering mathematics, Ordinary differential equations, Real analysis, Numerical methods, Linear algebra, Operations Research, Probability and Statistics, Applied Statistics
- PG level: Applied mathematics, mathematical programming, Inventory control, Stochastic processes, Dynamic programming, Probability and Statistics
- Projects guided at Postgraduate level

- Guided around 20 M. C. A. and M. Sc. (OR & CA) students in REC-T
- Guided 2 M. Sc. (Mathematics) students in NIT, Trichy (2020-2022)

- Swarnalatha, ‘A class of discrete binomial moment problems’, Department of Mathematics, NIT, Tiruchirappalli (April 2018)

- Tamizharasi, ‘An approximate analytic technique for solving a class of nonlinear boundary value problems and its applications’, Department of Mathematics, NIT, Tiruchirappalli (July 2012)

- Anne Rosaline, ‘A study on safety measures of road traffic accidents in Tamilnadu’, Faculty of Sci. & Hum., Anna University, Chennai (November 2012)

- Vanav Kumar, “Unsteady boundary layer flow past a stretching sheet’, Department of Mathematics, NIT, Tiruchirappalli (July 2011)

- Senthil Kumar, ‘A study on risk in traffic flow and effective safety management’, Faculty of Management Sciences, Anna University, Chennai (November 2008).

- International Workshop on ‘
*Wave Dynamics and Stability of Thin Film Flow Systems*’, IIT,*Chennai,*September 1-4, 2006.

*Presented*the paper ‘Approximate analytical solutions of stagnation point flows in a porous medium’ and*Co-Chaired a session*in the Conference*on Non-linear Science and Complexity,*Beijing,*China,*7-12, 2006.

- International Workshop on ‘
*Mathematics and Physics of Complex and Nonlinear Systems*’,*IIT, Kanpur*, March 14 – 27, 2004.

- Generalized inverse and its application,
*Regional Workshop on Analysis*, Theivanai Ammal College for Women,*Villupuram*, 30 -31 Jan. 2004.

- Effect of axial heat conduction in flow past a stretching sheet -
*35th ISTAM CONGRESS,*Anna University,*Madras*, 19-22 Dec. 1990.

- Free convection near an impulsively started and heated / cooled vertical plate with temperature dependent heat sink -
*SEMINAR ON COMP. TECHNIQUES IN CONTINUUM MECH.*, Anna University,*Madras*, 29-31 Jan. 1990.

- Pulsatile flow and heat transfer in a porous channel of porous medium -
*4th ANN. CONF. OF THE RAMANUJAN MATH. SOC.,*Alagappa University,*Karaikudi*, India, 20-22, May 1989.

- Effect of cross flow on oscillatory flow in a porous medium between two parallel plates in relative motion -
*Sci. Congress*, M.K.U.,*Madurai*, India, 7-12 Jan 1989.

- Generalization of Stokes first problem to immiscible fluid layers -
*54th ANN. CONF. OF THE IND. MATH. SOC.*,*University of Poona*, India, 27-30 Dec. 1988.

- Heat transfer in Stokes first problem -
*33rd ISTAM CON.*, BHU,*Varanasi*, 19-22 Dec.’88.

- Oscillatory flow of a viscous fluid over a porous bed with suction at the bottom -
*4th ANN. CONF. OF THE MATH. SOC.*, B.H.U.,*Varanasi*, India, 16-17 Dec. 1988.

- Steady slow laminar flow in a convergent or divergent channel with suction at one wall and injection at the other wall -
*2nd CONGRESS OF THE A. P. SOC. for MATH. SCI.,*K. University,*Anantapur*, India, 13-14, Nov. 1988.

- Solving a mixed B.V.P. & Diffusion problem - Random walk approach -
*32nd ISTAM CONGRESS*,*IIT, Bombay*, 17-20 Dec. 1987.

- Bounds on probability of a finite union –
*International conference on Operations Research, Indian Statistical Institute, Kolkata*, 8-10 Jan. 2004.

- NCC Air wing senior division
*pre-commissioning course*held at Air force Admin. College,*Coimbatore*, during Jun. 8 - Aug. 29, 1998 and got commissioned as 'Pilot Officer'.

- NCC Airwing senior division refresher course held at Air force Administrative College, Coimbatore, 11
^{th}2000 – 6^{th}Jan. 2001.

*Winter course*on*'Complementarity and Game theory*' ,*ISI, New Delhi,*15 –27 Dec. 1997.

*International Workshop*on "*Role of fluid mechanics on materials manufacturing and processing*", UGC-DSA Centre for Fluid Mech.,*Bangalore University*, 1–3 Jan. 1996.

*Seminar*on ‘Math. Modelling’, St. Joseph’s College,*Trichy*, 30 – 31 Jan.1997.

- ISTE
*Winter School*on ‘Performance appraisal and development system’, REC-Trichy, 20-25 Jan. 1997.

- AICTE-ISTE
*short term training programme*on ‘*Advanced Mathematical Methods in Engineering & Science*', VNIT,*Nagpur*, Nov.11 – 23, 2002

- Presented
**4 papers**,**organized a symposium**jointly with Professor I. Pop (University of Cluj, Romania) and**chaired a session**at the 3rd conference on nonlinear science and complexity, Cankaya University, Ankara,**Turkey,**28 – 31 July 2010.

- Delivered an
*Invited Talk*on ‘Flow through Porous Media’ and*Chaired a session*in the*National Seminar on Applied Mathematics*held at Annamalai University,*Chidambaram*on 07.03.2008.

- Delivered an
*Invited Talk*on ‘Advances in Boundary Layer Theory’ and*Chaired a session*in the*National Seminar on Recent Trends in Applied Mathematics*held at*PSGR Krishnammal College for Woman, Coimbatore*on 12.03.2007.

- Life member in
**I**ndian**S**ociety for**T**echnical**E**ducation (LM 23244) - Life member in
**I**ndian**S**ociety for**T**heoretical and**A**pplied**M**echanics (L/212)

- Paper presentation in Beijing, China, during 06-13, Aug. 2006
- Joint Research in University of Leeds, UK, during 3-27, July 2007
- Paper presentation/symposium organized in Ankara, Turkey, during 28-31, July 2010.

__Refereed Research Journals__:** Papers published in SCI journals: (14 papers) **

- Swarnalatha and V. Kumaran, Sharp probability bounds for the binomial moment problem with symmetry,
*Operations Research Letters., Vol. 46, N0. 1, 2018, Pages 37-43 (***SCI**, 2020 Impact factor:**1.151**).

- Swarnalatha and V. Kumaran, Bounds for the probability of the union of events with unimodality,
*Ann. Oper. Res.,*DOI 10.1007/s10479-017-2629-6, published online on 6th September 2017*(***SCI**, 2020 Impact factor:**4.854**).

- Kumaran and R. Swarnalatha, Bounds for the probability of events following monotonic distribution,
*Discrete Applied Mathematics, Vol. 223, 2017*,*Pages 98-119 (***SCI,**2020 Impact factor:**1.254**)

- H. Merkin (
**UK**) and V. Kumaran, The unsteady heat transfer due to a heat source in an MHD stretching sheet flow,*Meccanica*,*Vol. 47, No. 8*,*2012*,*Pages 1837-1847 (***SCI,**2020 Impact factor:**2.258**)

- Kumaran, R. Tamizharasi, J. H. Merkin (
**UK**) and K. Vajravelu (**USA**), On thin film flow of a third-grade fluid down an inclined plane,*Arch. Appl. Mech.*,*Vol. 82*,*No. 2, 2012*,*Pages 261-266 (***SCI**, 2020 Impact factor:**1.976**)

- Kumaran and R. Tamizharasi, Brinkman Flow Past a Stretching Sheet,
*Transport in Porous Media, Vol. 87, No. 2, 2011, Pages 541-560 (***SCI**, 2020 Impact factor:**3.019**)

- Kumaran, A. Vanav Kumar and I. Pop (
**Romania**), Transition of boundary layer flow past a stretching sheet due to a step change in applied constant mass flux,*Acta Mechanica, Vol. 216, No’s. 1-4*,*2011*,*Pages 139-145 (***SCI,**2020 Impact factor:**2.698**)

- H. Merkin (
**UK**) and V. Kumaran, Unsteady MHD boundary-layer flow on a shrinking sheet,*Euro. J. Mech. - B/Fluids*,*Vol. 29, No. 5*,*2010*,*Pages 357-363 (***SCI,**2020 Impact factor:**2.598**)

- I. Andersson (
) and V. Kumaran, On sheet-driven motion of power-law fluids,*Norway**Int. J. Non-Linear Mechanics*,*Vol. 41, No. 10*,*2006*,*Pages 1228-1234 (***SCI**, 2020 Impact factor:**3.336**) - Kumaran and I. Pop (
), Steady free convection boundary layer over a vertical flat plate embedded in a porous medium filled with water at 4 °C,*Romania**Int. J. Heat Mass Transfer*,*Vol. 49, No’s. 17-18*,*2006*,*Pages 3240-3252 (***SCI**, 2020 Impact factor:**5.431**)

- Kumaran, Erratum in 'MHD flow past a stretching sheet by T.Y. Na and I. Pop - Acta Mechanica - Vol. 116, Pages 235-238, 1996,
*Vol.121, No’s 1-4, 1997, Page 237 (*)**SCI,**2020 Impact factor:**2.698** - Kumaran and G. Ramanaiah, A note on flow over a stretching sheet,
*Acta Mechanica, Vol.116, 1996, Pages 229-233(***SCI,**2020 Impact factor:**2.698**) - Ramanaiah and V. Kumaran, Natural convection about a permeable cone and a cylinder subjected to a radiation boundary condition,
*Int. J. Engg. Sci., Vol.30, 1992, Pages 693-699 (***SCI,**2020 Impact factor:**7.155**)

- Kumaran and G. Ramanaiah, Effect of cross flow on oscillatory flow in a porous medium between two parallel plates in relative motion,
*ASME Trans. J. Fluids Engg., Vol.113, 1991, Pages 151-154 (*.**SCI,**2020 Impact factor:**1.995**)

**Papers published in SCI Expanded journals: (10 papers) **

- Kumaran and R. Swarnalatha, Sharp bounds for the probability of union of n events

when m number of binomial moments are known,*Optimization and Engineering., Vol. 21, 2020, Pages 241-271 (***SCI Expanded**, 2020 Impact factor:**2.760**).

- Tamizharasi and V. Kumaran, Pressure in MHD/Brinkman flow past a stretching sheet,
*Commun. Nonlin. Sci. Numer. Simulat.*,*Vol. 16, No. 12*,*Dec. 2011*,*Pages 4671-4681 (***SCI Expanded**, 2016 Impact factor:**2.784**)

- Kumaran and I. Pop (
**Romania**), Nearly parallel Blasius flow with slip,*Commun. Nonlin. Sci. Numer. Simulat.*,*Vol. 16, No. 12*,*Dec. 2011*,*Pages 4619-4624 (***SCI Expanded**, 2020 Impact factor:**4.186**)

- H. Merkin (
**UK**) and V. Kumaran, Free convection stagnation-point boundary-layer flow in a porous medium with a density maximum,*Int. J. Ther. Sci.*, Vol. 50, No. 11, Nov. 2011, Pages 2176-2183*(***SCI Expanded**, 2020 Impact factor:**4.779**)

- Kumaran, A.K. Banerjee, A. Vanav Kumar and I. Pop (
**Romania**), Unsteady MHD flow and heat transfer with viscous dissipation past a stretching sheet,*Int. Commun. Heat Mass Transfer*,*Vol. 38, No.3*,*March 2011*,*Pages 335-339 (***SCI Expanded**, 2020 IF:**6.782**)

- Magyari (
**Switzerland**) and V. Kumaran, Generalized Crane flows of micropolar fluids,*Commun. Nonlin. Sci. Numer. Simulat.*,*Vol. 15, No. 11*,*Nov. 2010*,*Pages 3237-3240 (***SCI Expanded**, 2020 Impact factor:**4.186**)

- I. Andersson (
**Norway**) and V. Kumaran, Comment on “Unsteady flow of a second grade fluid film over an unsteady stretching sheet” [Math. Comput. Model. 48 (2008) 518–526],*Math. Comp. Modelling*,*Vol. 52, No’s. 9-10*,*Nov. 2010*,*Pages 1706-1707 (***SCI Expanded- discontinued from 2014**, 2016 Source Normalized Impact factor:**2.224**)

- Kumaran, A. Vanav Kumar and I. Pop (
**Romania**), Transition of MHD boundary layer flow past a stretching sheet,*Commun. Nonlin. Sci. Numer. Simulat.*,*Vol. 15, No. 2*,*February 2010*,*Pages 300-311 (***SCI Expanded**, 2020 Impact factor:**4.186**)

- Kumaran, R. Tamizharasi and K. Vajravelu (
**USA**), Approximate analytic solutions of stagnation point flow in a porous medium,*Commun. Nonlin. Sci. Numer. Simulat.*,*Vol. 14, No. 6*,*June 2009*,*Pages 2677-2688 (***SCI Expanded.**, 2020 Impact factor:**4.186**)

- Kumaran, A.K. Banerjee, A. Vanav Kumar and K. Vajravelu (
**USA**), MHD flow past a stretching permeable sheet,*Appl. Math. Comp.*,*Vol. 210, No. 1*,*Apr. 2009*,*Pages 26-32 (***SCI Expanded**, 2020 Impact factor:**4.397**)

**Papers published in refereed journals; (08 papers) **

- Anne Rosaline A. and V. Kumaran, Analysis of accident reduction factor using pavement marking in intersection and plain roads,
*Pure Appl. Sci., Vol 28E, pp 91-107, 2009.*

- Senthil Kumar K., Suja S.K. and V. Kumaran, A new mode of transportation to minimize environment damage due to diesel exhausts,
*Eco Chronicle, Vol. 2, pp. 17-20, 2007.*

- Kumaran and I. Pop, Analytic solutions of free convection boundary layer flow over a vertical flat plate embedded in a porous medium,
*Int. J. Fluid Mechanics Research, Vol. 31, No. 6, pp. 563-573, 2004.*

- Kumaran, Comments on 'Unsteady free convection interaction with thermal radiation Boundary layer flow past a vertical porous plate',
*J. Math. & Phy. Sci., Vol.30, pp. 159-160, 1996.*

- Kumaran and G. Ramanaiah, Effect of thermal dispersion on non-Darcy free convection over horizontal surfaces in saturated porous media,
*J. Energy, Heat and Mass Transfer, Vol.17, pp.313-318, 1994.*

- Ramanaiah and V. Kumaran, Darcy - Brinkman free convection about wedge and a cone subjected to a mixed thermal boundary condition,
*Int. J. Math. Math. Sci., Vol.15, No.4, pp.789- 794, 1992.*

- Kumaran and G. Ramanaiah, Viscous lifting and drainage of a second-order fluid on a vertical plate,
*Bulletin of Calcutta Math. Soc., Vol.84, pp.313- 322, 1992.*

- H. Merkin and V. Kumaran, Free convection boundary layer on a vertical surface with prescribed heat flux at small Prandtl number,
*Int. J. Math. Math. Sci., Vol.15, No.3, pp.605-608, 1992.*

__Conferences/Workshops/Symposia____Proceedings__

- Empirical analysis of probabilistic bounds, (jointly with R. Swarnalatha) - Proc. of the Int. Conf. on Recent trends in Operations Research and Statistics, IIT Roorkee, pp. 125-139, December 2017.

- Unsteady MHD flow past a stretching sheet due to a heat source/sink (jointly with A.K. Banerjee, A. Vanav Kumar) - Proc. of the 3rd on Non-linear Science and Complexity, Ankara,
*Turkey*, 28-31, July 2010.

- Impulsive boundary layer flow past a permeable quadratically stretching sheet - (jointly with
*Vanav Kumar and JSC Babu*) - Proc. of the 2nd Conf. on Non-linear Science and Complexity, Porto,*Portugal*, 2008. (Presented by JSC Babu)

- Approximate analytical solutions of stagnation point flows in a porous medium - (jointly with
*Tamilarasi*) - Proc. of the 1st Int. Conf. on Non-linear Science and Complexity, Beijing,*China*, Vol.1, 2006.

- Bounds on probability of a finite union (Jointly with A. Prekopa, USA)– International conference on Operations Research,
*Indian Statistical Institute, Kolkata*, 8-10 Jan. 2004.

- Convective heat transfer due to a rotating disk subjected to a mixed thermal boundary condition - (jointly with
*Ramanaiah*) - Proc. of the 13th IMACS World Congress on Comp. and Appl. Math.,*Ireland, U.K.,*Vol.2, pp.896-897, 1991.

- Natural convection on a permeable vertical and horizontal plates subjected to a radiation boundary condition - (jointly with
*P G. Ramanaiah*) – Proc. of the 36th ISTAM Congress, India, Vol.36, pp.31-44, 1991.

- Oscillatory flow of a viscous fluid over a porous bed with suction at the bottom - (jointly with
*Ramanaiah*) - Proc. of the Math. Soc., B.H.U., India, Vol.4, pp.15-21, 1988.

**Books & Monographs**

- Bounds on Probability of a finite union
*(*jointly with*Andras Prekopa, Rutgers University, USA),*Chapter-6,**Operations Research with economics and industrial applications- emerging trends**(), pp.77-84, (Editors: S. K. Neogy, S.R. Mohan, Indian Statistical Institute, New Delhi), Anamaya Publishers, New Delhi.*2005*

Department of Mathematics

National Institute of Technology

Tiruchirapalli-620015