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Peeyush Chandra

Peeyush Chandra

Ph.D., I.I.T. Kanpur

Professor (Retired) Department of Mathematics & Statistics

Research Interest

Bio-Fluid Mechanics

Fluid Mechanics (Low Reynolds Number Flow) Lubrication Theory

Magnetic Fluids
Ecological Modeling
Mathematical Epidemiolog

Education

Ph.D., I.I.T. Kanpur, 1976,Thesis Title : Mathematical Models of Synovial Joints- A Lubrication Biomechanical Study.  PDF

M.Sc.(Mathematics), I.I.T. Kanpur, 1971

B.Sc., Meerut College, Meerut ( Meerut University), 1969

Selected Publications

Books Authored'NPTEL Web course on Mathematics – II' (with A. K. Lal, V. Raghavendra,G. Santhanam) Online
'Mathematical Biology: Recent Trends' (Eds. Peeyush Chandra and B V Rathish Kumar) Anamaya Publishers, 2006.
'Advanced Calculus, Unit 1 - 2 (MTE - 07)' (with Sunder Lal, G. Das, Asha Mathur, S. K. Ray, T. T. Raghunathan) IGNOU, 1991.
Recent Papers Published in Journals & Refereed ProceedingsDynamical Complexity of a Prey - Predator Model with Nonlinear Predator - Discrete and Continuous Dynamical Systems, ser b, Vol 20 (2), 423 - 443, 2015 (with R.P. Gupta, Malay Banerjee).
Period doubling cascades of prey–predator model with nonlinear harvesting and control of over exploitation through taxation - Communications in nonlinear Science and Numerical Simulation, Vol. 19, 2382-2405, 2014 (with R.P. Gupta, Malay Banerjee).
Effect of habitat characteristics of carrier population leading to increased spread on the growth typhoid fever: A Model - Journal of Epidemiology and Global Health, Vol. 4 (2) 107 -114, 2014 (with J. B. Shukla, A. Goyal, Shikha Singh).
Bifurcation analysis of modified Leslie-Gower predator-prey model with Michaelis Menten type prey-harvesting Journal of Mathematical Analysis and Applications, Vol. 398, No. 1, 278-295 (2013), (with R.P. Gupta)
Dynamical model of in-host HIV infection: with drug therapy and multi-viral strains – Journal of Biological systems Vol. 20, No. 3 (2012) 303–325 , (with PK SRivastava, Malay Banerjee)
Bifurcation analysis and control of Leslie-Gower predator-prey model with Michaelis Menten type prey-harvesting - DEDS July 2012, Volume 20 (3), pp 339-366, (with R.P. Gupta, Malay Banerjee)
The dynamics of two-species allelopathic competition with optimal harvesting J. Biological Dynamics, Vol. 6, No. 2, March 2012, 674–694, (with R.P. Gupta, Malay Banerjee)
Modeling the depletion of dissolved oxygen in a lake due to algal bloom: Effect of time delay– Advances in Water Research, Volume 34, Issue 10, 2011, Pages 1232-1238 (with A.K. Misra, and V. Raghavendra)
Mathematical Modeling of opiate drug users - Proceeding of International Conference on Mathematical Modelling and Applications to Industrial Problems (MMIP2011), NIT Calicut, Page: 467-473 (ISBN-9789350590249), (with M.V. Radhika, P.K. Srivastava)
A study of double diffusive free convection from a corrugated vertical surface in a Darcy porous medium under soret dufour effect, J. Heat Transfer ASME 133(9), doi:10.1115/1.4003813 (with S.V.S.S.N.V.G. K. Murthy, B.V.K. Rathish, V. Sangwan, M. Nigam)
A primary infection model for HIV and immune response with two discrete time delays. Differential Eqn. & Dynamical System (DSDE), Vol. 18(4), 2010, pp. 385-399, (with P.K. Srivastava, M. Banerjee).
'Mathematical Modeling of HIV dynamics: in vivo' - Mathematics Student, 2010. PDF
'How artificial rain can be produced? A mathematical model' - To appear in: Nonlinear Analysis: Real World Applications (DOI: 10.1016/j.nonrwa.2009.09.013). (with J.B. Shukla, A.K. Misra, Ram Naresh)PDF
'Modelling the Dynamics of HIV and CD+ 4T Cells during primary infection' - Nonlinear Analysis. Real World Applications, Vol. 11 (2), 2010, pp 612-618. (with P. K. Srivastava)PDF
'Mathematical Modeling and Analysis of the Spread of Carrier dependent Infectious Diseases: Effects of Cumulative density of Environmental factors' - International J. of Biomathematics, Vol 2 (2), 2009, pp 213 – 228. (with S. Singh and J B Shukla)PDF
'Modeling the Drug Therapy for HIV infection' - Journal of Biological Systems, Vol.17(2), 2009, pp 213 - 223. (with P. K. Srivastava and Malay Banerjee)PDF
'A Study of Micro-polar Fluid in an annular tube with application to blood flow' - J. of Mechanics in Medicine and Biology, Vol. 8 (4), 2008. (with P Muthu and B V Rathish Kumar)PDF
'Hopf Bifurcation and periodic solutions in a Dynamical Model for HIV and Immune response' - Differential Equation and Dynamical Systems, Vol.16(1-2), 2008, pp 77-100. (with P. K. Srivastava)PDF
'Mathematical modeling and analysis of the depletion of dissolved oxygen in eutrophied water bodies affected by organic pollutants' - Nonlinear Analysis Real world Applications, Vol.9(5), 2008, pp 1851-1865. (with J.B. Shukla and A.K. Misra)PDF
'Modeling and analysis of the algal bloom in a lake caused by discharge of nutrients' - Applied Mathematics and Computation, Vol.196(2), 2008, pp 782-790. (with J.B. Shukla and A.K. Misra)PDF
'Peristaltic motion of micropolar fluid in circular cylindrical tubes: Effect of wall properties ' - Applied Mathematical Modelling, Vol.32(10), 2008, pp 2019-2033. (with P Muthu and B V Rathish Kumar)PDFComplete List of Publications
 Publications (Research Area Wise)Mathematical Ecology
Mathematical-Epidemiology
Bio Fluid Mechanics
Lubrication Theory
Fluid Mechanics
Publications (Mathematical Ecology)Dynamical Complexity of a Prey - Predator Model with Nonlinear Predator - Discrete and Continuous Dynamical Systems, ser b, Vol 20 (2), 423 - 443, 2015 (with R.P. Gupta, Malay Banerjee).
Period doubling cascades of prey–predator model with nonlinear harvesting and control of over exploitation through taxation - Communications in nonlinear Science and Numerical Simulation, Vol. 19, 2382-2405, 2014 (with R.P. Gupta, Malay Banerjee).
Effect of habitat characteristics of carrier population leading to increased spread on the growth typhoid fever: A Model - Journal of Epidemiology and Global Health, Vol. 4 (2) 107 -114, 2014 (with J. B. Shukla, A. Goyal, Shikha Singh).
Bifurcation analysis of modified Leslie-Gower predator-prey model with Michaelis Menten type prey-harvesting Journal of Mathematical Analysis and Applications, Vol. 398, No. 1, 278-295,  2013, (with R.P. Gupta) 
Bifurcation analysis and control of Leslie-Gower predator-prey model with Michaelis Menten type prey-harvesting - DEDS July 2012, Volume 20 (3), pp 339-366, (with R.P. Gupta, Malay Banerjee)
The dynamics of two-species allelopathic competition with optimal harvesting  J. Biological Dynamics, Vol. 6, No. 2, March 2012, 674–694, (with R.P. Gupta, Malay Banerjee)
Modeling the depletion of dissolved oxygen in a lake due to algal bloom: Effect of time delay– Advances in Water Research,   Volume 34, Issue 10, 2011, Pages 1232-1238 (with A.K. Misra, and V. Raghavendra)
How artificial rain can be produced ? A mathematical model – Nonlinear Analysis: Real World Applications, Vol. 11, 2010, pp. 2659-2668, (with J.B. Shukla, A.K. Misra, R. Naresh,).
'Mathematical modeling and analysis of the depletion of dissolved oxygen in eutrophied water bodies affected by organic pollutants' - Nonlinear Analysis Real world Applications, Vol. 9(5), 2008, pp 1851-1865. (with J.B. Shukla and A.K. Misra)
'Modeling and analysis of the algal bloom in a lake caused by discharge of nutrients' - Applied Mathematics and Computation, Vol. 196(2), 2008, pp 782-790. (with J.B. Shukla and A.K. Misra)
'Mathematical modeling and analysis of the depletion of dissolved oxygen in water bodies ' - Nonlinear analysis. Real world applications, Vol. 7(5), 2006, pp 980-996. (with A.K. Misra and J.B. Shukla)
Modelling the depletion of dissolved oxygen in a water body due to organic pollutants and their effect on survival of species, in Mathematical Biology- Recent Trends (Proc. ICMB-2004), Anamaya Publishers, New Delhi 266-272,2006. (with  J. B. Shukla, A. K. Misra).
'A model for fishery resource with reserve area' , Journal of Nonlinear Analysis: Series B - Real World Applications, vol. 4, 2003, pp 625- 637 (with B. Dubey & P. Sinha)
'A model for inshore-offshore fishery, Journal of Biological systems , vol. 11(1), pp 27-41,2003, (with B. Dubey & P. Sinha).
'A mathematical model to study the effect of toxic chemicals on a prey-predator type fishery' , Journal of Biological systems, Vol. 10, No. 2, pp. 97-105, 2002, (with M. Ghosh & P. Sinha).
'A resource dependent fishery model with optimal harvesting policy' , Journal of Biological systems, Vol. 10, No.1, pp.1-13, 2002, (with B. Dubey & P. Sinha).

Conference Presentations

Conferences & Seminars OrganizedInternational:'International Conference on Mathematical Biology' 2004, IIT Kanpur- Convnor
UNESCO Workshop on Mathematical Modelling of Fluid Flows, Diffusion and Environmental Pollution, 2001- Co- coordinator
`International Symposium on Mathematical Modelling, Ecological, Environmental and Biological Systems, 1985.I.I.T. Kanpur, - Member, Organizing Committee.
National:Advanced Workshop on Mathematical Epidemiology and Differential Equations (Sponsored by DST) at IIT Patna, Co-cordinator, July 7- 13, 2013.
Stability & Bifurcation Analysis and Pattern Formation in Ecology & Epidemiology (Sponsored by DST) at IIT Kanpur, Co-cordinator, 25th February-2nd March, 2011
National Meet of Research Scholars in Mathematical Sciences, IIT Kanpur, 2007 & 2008 (Co-convenor)
A Symposium on 'Mathematical Biology' at IMS , Pune 2007. 
Annual IMS Conference, Treasurer, 1996, IIT Kanpur
ISTE Summer School on Mathematical Modelling, Co-cordinator, 1994, IIT Kanpur
UGC Summer School on Mathematical Modelling, Co-cordinator 1984, IIT Kanpur

Professional Experience

Professor    March,'93 - June,2015    IIT, Kanpur

Associate Professor    March,'91 - March,'93    IIT, Kanpur

Asst. Prof.    Sept.'82 - March'91    IIT, Kanpur

Asst. Prof    Jan.'80 - Sept.'82    Mehta Res. Inst. Allahabad*

Post Doctoral Fellow    Jan.'76 - Jan.'80    Mehta Res. Inst. Allahabad*

Research Assistant    Jan.'74 - Dec.'75    IIT, Kanpur

J.R.F.(C.S.I.R.)    Jan.'72 - Dec.'73    IIT, Kanpur

Recognition

Fellow of National Academy of Sciences, India.

Past President, Indian Mathematical Society ( April 2009 - March 2010).

Past president, Indian Society of Theoretical and Applied Mechanics (ISTAM) 2012.

Sanjay Mittal Chair Professor (Dec. 2011 - Dec. 2014).

Prof. P.L. Bhatnagar Memorial Award Lecture in the 67th Annaul Conf. of IMS, Aligarh, 2002.

XVth Prof. P. D. Verma Memorial Lecture, Rajasthan University, Jaipur

General Secretary (2009 -2011), Indian Society for Mathematical Modelling and Computer Simulation. (ISMMACS)

Vice President, Bio-mathematical Society of India.

Distinguished Service Award of Vijnana Parishad of India, 2012.

Listed in Marquis who's who in the world 2010 edition.  

Editor (Maths.) to the National Academy Science Letters, 1981 - 1982.

Member Advisory Committee of ‘Interdisciplinary Journal of Mathematical Sciences’

Member, Editorial Board,

  • Proc.(A), National Academy Science, India 2005- (Springer Journal),
  • Differential equations and Dynamical Systems (Springer Journal),
  • Review Bulletin Calcutta Mathematical Society,
  • Journal of Indian Mathematical Society.

Member, PAC (MS), DST, New Delhi. (2004- 2007, 2007- 2011),

Member, Mathematical Sciences Research Committee, CSIR (2015 - 2018).

Project

Research Projects

Principal Investigator to the DST, New Delhi project `Studies in Biomechanics' at M.R.I, Allahabad.Co-investigator to CSIR, New Delhi project `Peristalsis in Physiological Systems 

PhD Supervision

'Mathematical Modelling of Physiological Systems: Effects of Peristalsis and Multiple Stenoses'

Dr. Rajiv Sharma (1985), I.I.T. Kanpur(Co-guide : Dr. J.B. Shukla)

'Contributions  to the  Theory  of  Ferrofluid Lubrication'

Dr. Dinesh Kumar (1991),I.I.T.Kanpur(Co-guide : Dr. P.Sinha)

'Low Reynolds Number Flow in Ducts of Varying Cross Section   with Permeable Walls'

Dr. J.S.V.R. Krishna  Prasad (1990) I.I.T. Kanpur

'Microcontinuum Approach to some Biofluid Dynamical Problems'

Dr. D. Philip (1992)  I.I.T., Kanpur        (*)*Refered in “Microcontinuum Field Theories” ( Vol. II) - A. C. Eringen, Springer, 2001

'Thermal Inertia and Elastohydrostatic effects in Externally Pressurized Conical Bearings'

Dr. Snigdha Saxena (1993), I.I.T. Kanpur(Co-guide : Dr. P.Sinha)

'Mathematical Modelling of Mucus Transport in the Lung under Pathological and Normal Conditions'

Dr. Dipak K. Satpathy (1998), I.I.T. Kanpur(Co-guide : Dr. J.B. Shukla)

'Mathematical Modelling of infectious Diseases: Environmental and Demographical Effects'

Dr. Mini Ghosh (2002), I.I.T. Kanpur(Co-guide : Dr. P.Sinha)

'Some Studies on Peristaltic Transport and Flow in Catheterized Artery: Effects of Micropolar Fluid'

Dr. P. Muthu (2002), I.I.T. Kanpur(Co-guide : Dr. B. V. Rathish Kumar)

'Mathematical Modelling of the depletion of Dissolved Oxygen caused by water pollution and Eutrophication: Effects on survival of Aquatic Populations'

Dr. Arvind Kumar Misra (2005), I.I.T. Kanpur(Co-guide : Dr. J. B. Shukla)

'Modelling and Analysis of  the spread of Infectious diseases: Effects oof Environmental and Ecological Factors'

Dr. Shikha Sengar (2006), I.I.T. Kanpur(Co-guide : Dr. J. B. Shukla)

'Mathematical Modeling of HIV Dynamics: in vivo'

Dr. Prashant Kumar Srivastava (2010), I.I.T. Kanpur(Co-guide : Dr. Malay Banerjee)

'Analytical Studies and Computational Simulations on Mixed Convection Process in Fluid Saturated Porous Configurations'

Dr. SVSSNGK Murthy (2010), I.I.T. Kanpur(Co-guide : Dr. BV Rathish Kumar)

'Dynamical Complexity of Some Nonlinear Ecological Systems with Harvesting'

Dr. Ravi P. Gupta (2014), I.I.T. Kanpur(Co-guide : Dr. Malay Banerjee) 

Teaching Experience at IIT Kanpur (Jan. 1983, onwards)

  • Post Graduate Level: 

    Biomechanics, Graduate Mathematics. (ODE, PDE, Integral equations, Calculus of variations), Mathematical Modeling, Biomathematics.

  • Under Graduate Level:
    • B Tech core courses: Mathematics courses of B. Tech. (1st and 2nd year) program dealing with (Calculus & Analytic Geometry, Complex Analysis , Matrix Theory, ODE, Linear Algebra, PDE, Probability Theory).
    • M.Sc. courses :

      Mathematical Methods, Classical Mechanics, Continuum Mechanics, Mathematics for Chemistry, Ordinary Differential Equations, Mathematical Modeling, Integral Equations and Calculus of Variations, Fluid Mechanics.

Research Experience (1972 onwards)

  • I.I.T. Kanpur (Ph.D. Prog.), July'72-Dec.'75
  • M.R.I., Allahabad,  Jan.'76 - Sept.'82
  • I.I.T. Kanpur, Sept. 82 - onwards

Other Publications (Mathematical Epidemiology )

  1. Dynamical model of in-host HIV infection: with drug therapy and multi-viral strains – Journal of Biological systems Vol. 20, No. 3 (2012) 303–325 , (with  PK SRivastava, Malay Banerjee)
  2. Mathematical Modeling of opiate drug users - Proceeding of International Conference on    Mathematical Modelling and Applications to Industrial Problems (MMIP2011), NIT Calicut, Page: 467-473 (ISBN-9789350590249), (with M.V. Radhika,  P.K. Srivastava)
  3. A primary infection model for HIV and immune response with two discrete time delays. Differential Eqn. & Dynamical System (DSDE), Vol. 18(4), 2010, pp. 385-399, (with P.K. Srivastava, M. Banerjee)
  4. Mathematical modeling of HIV dynamics: In vivo – Mathematics Student, Vol. 78, 2010, 7-27, Peeyush Chandra
  5. Modelling the Dynamics of HIV and CD+ 4T Cells during primary infection Nonlinear Analysis. Real World Applications,ISSN: 1468- 1218, Vol 11 (2), pp 612-618 2010,  (with P. K. Srivastava)
  6. 'Modelling the Dynamics of HIV and CD+ 4T Cells during primary infection' - Nonlinear Analysis. Real World Applications, Vol. 11 (2), 2010, pp 612-618. (with P. K. Srivastava)
  7. 'Mathematical Modeling and Analysis of the Spread of Carrier dependent Infectious Diseases: Effects of Cumulative density of Environmental factors' - International J. of Biomathematics, Vol 2 (2), 2009, pp 213 - 228. (with S. Singh and J. B Shukla)
  8. 'Modeling the Drug Therapy for HIV infection' - Journal of Biological Systems, Vol. 17(2), 2009, pp 213 - 223. (with P. K. Srivastava and Malay Banerjee)
  9. 'Hopf Bifurcation and periodic solutions in a Dynamical Model for HIV and Immune response' - Differential Equation and Dynamical Systems, Vol. 16(1-2), 2008, pp 77-100. (with P. K. Srivastava)
  10. 'Modelling the spread of bacterial infectious disease with environmental effect in a logistically growing human population ' - Nonlinear analysis. Real world applications, Vol. 7(3), 2006, pp 341-363. (with Mini Ghosh, Prawal Sinha, J.B. Shukla)
  11. Modelling the spread of malaria: Environmental effects (Proc. ICMB-2004), in Mathematical Biology- Recent Trends Anamaya Publishers, New Delhi, 285-290, 2006. (with  J. B. Shukla, S. Singh)
  12. 'Modelling the spread of bacterial disease: effect of service providers from an environmentally degraded region ' - Applied Mathematics and Computation, Vol. 160 (3), 2005, pp:615-647. (with Mini Ghosh, Prawal Sinha, J.B. Shukla) 
  13. 'Modelling and Analysis Of The Spread Of Malaria: Environmental And Ecological Effects' - Journal of Biological Systems, Vol: 13 (1) , 2005, pp 1-12. (with Shikha Singh and J B Shukla)
  14. 'Modelling the Spread of Carrier Dependent Infectious Diseases with Environmental Effect' – Applied Mathematics and Computation Vol. 152, 2004, pp 385- 402 (with Mini Ghosh, Prawal Sinha, J. B. Shukla)
  15. 'Modelling and analysis of the spread of carrier dependant infectious diseases with environmental effects' , J. Biological Systems Vol. 11, No. 3, 2003, pp 325-335 (with Shikha Singh, J. B. Shukla)
  16. 'An epidemiological model for carrier-dependent infectious diseases with environmental effect',International J. Applied Sciences and engineering, Vol. 7 (3), 2000, pp 188-204, (with M. Ghosh, J. B. Shukla & P. Sinha).

Other Publications (Bio Fluid Mechanics)

  1. 'A Study of Micro-polar Fluid in an annular tube with application to blood flow' - J. of Mechanics in Medicine and Biology, Vol. 8 (4), 2008. (with P Muthu and B.V Rathish Kumar)
  2. 'Peristaltic motion of micropolar fluid in circular cylindrical tubes: Effect of wall properties ' - Applied Mathematical Modelling, Vol. 32(10), 2008, pp 2019-2033. (with P Muthu and B V Rathish Kumar)
  3. 'Effect of Elastic Wall Motion on Oscillatory Flow of Micropolar Fluid in an annulus' Archive of Applied Mechanics Vol. 73, 2003, pp 481-494 (with P. Muthu, BV Rathish Kumar)
  4. Unsteady State Laminar Flow of Viscoelastic Gel and Air in a Channel: Application to Mucus Transport in a Cough Machine Simulating Trachea, Mathematical and Computer Modelling Vol. 38, 2003, pp. 63 - 75 (with D.K.Satpathy and B.V.Rathish Kuamr)
  5. 'On the influence of wall properties' in the peristaltic motion of Micropolar fluids ANZIAM Vol. 45 (2) pp: 245 – 260, Oct. 2003 (with P. Muthu and B.V. Rathish Kumar)
  6. 'Peristaltic Motion in Circular cylindrical Tubes: Effect of Wall Properties'. IJPAM, vol.32(9), 2001 (with P. Muthu and B.V. Rathish Kumar).
  7. ** 'Flow of Eringen Fluid(Simple Micro Fluid)through an artery with mild stenosis' Int. J. Engg. Sci. vol.34,1996,pp 87-99 (with D.Philip) .
  8. 'Motion of Organism under peristalsis: Application to ovum transport' Advances in Physiological Fluid Dynamics, ed. Megha Singh and V.P.Saxena, (Narosa Publication),1995, pp 141-146. (with G.R.K. Acharya and R. Sharma)
  9. 'Flow through a vertical porous tube with peristalsis & heat transfer' Advances in Physiological Fluid Dynamics, ed. M. Singh and V.P.Saxena,(Narosa Publication), 1995, pp 147-150 (with V.R.Murthy and G.Radhakrishnamacharya).
  10. 'Peristaltic transport of a simple microfluid'  in Proc. Nat. Acad. Sci. India, vol.65(A), part I ,1995, pp 63-74. (with D. Philip)
  11. 'Self-propulsion of spermatozoa in microcontinuum: effect of transverse wave motion of channel walls'  in Archive of Applied Mechanics, vol. 66,1995, pp 90-99 .(with D. Philip)
  12. Effect of Multiple Constrictions on Peristaltic Transport of a Fluid Through  a  Tube  of  Non-Uniform  Cross-Sections' Biomechanics, Ed. by  K.B. Sahay and R.K. Saxena, Wiley Eastern, New Delhi, 1988 pp. 154-162. (with G.R.K.Acharya, J.B. Shukla and Rajiv Sharma)
  13. 'Effects of Peristaltic and Longitudinal Wave Motion of the Channel wall on Movement of Micro-organisms' J. Biomechanics, 11(11),1988, pp. 947-954 .(with J.B. Shukla, G.R.K. Acharya  and  R.Sharma)
  14. 'Ovum Transport in Fallopian Tube'  in Proc.11th Canadian Congress of Applied Mechanics, Alberta, Vol.12,1987, pp. E:66-67. (with J.B.Shukla, G. R. K. Acharya and R.Sharma)
  15. 'Effects of Peripheral Layer Consistency of Blood Flow in Arteries  with  Non-Uniform  Cross-Section  and  Multiple Stenoses'  In   'Physiological Fluid Dynamics I, (ed.S.D.Nigam, MeghaSingh) COSTED Publ.1985, pp.55-61. (with S. Mukherjee, R. Sharma,  G.Radhakrishnamacharya  and  J.B.  Shukla)
  16. ** 'Dispersion in Simple Microfluid Flows' International J. Engineering Sci. 21(5),1983, pp.431-442. (with R.P.Agarwal)
  17. 'A Hydro dynamical Study of the Flow in Renal Tubules'  Bull. Mathematical Biology, 43(2),1981, pp. 151-163 .(with G. Radhakrishnamacharya and M.R Kaimal)
  18. 'Comments on Behavior of Viscoelastic Lubricants in reference to Human Joints' in Indian J.Pure and Applied Math.12(4), 1981,pp.537-543 .
  19. 'Synovial Joint Lubrication: A Review' in Golden Jubilee  Commemoration Volume Nat. Acad. Sci. India 1980, pp. 349-368.
  20. 'Study of Surface Roughness Effects on Squeeze Film Lubrication with   reference to Synovial Joints' in Proc. Nat. Acad. Sci. India, 50 A, 1980, pp. 53-60.
  21. 'Effect of Cartilage  Porosity on Synovial Joint Lubrication' in the Prof. P.L. Bhatnagar Commemoration Volume, Nat.Acat.Sci.(India), 1979 pp. 265-279.
  22. 'Tribological Study of Diseased Human Joints' in Proc. First World Conf. in Industrial Tribology, New Delhi 1972, Paper No. C4. (with J.B. Shukla and R.C. Srivastava)

 ** Referred in 'Microcontinuum Field Theories' ( Vol. II)      – A. C. Eringen, Springer, 2001 as Ref [15] and [112]respectively.

Other Publications (Lubrication Theory)

  1. 'Thermal effects in externally pressurized porous conical bearings with variable viscosity' , ACTA MECHANICA, Vol. 149, pp. 215-227, 2001, (with P. sinha & S. Bhartiya ).
  2. 'Analysis of non-constant gap externally pressurized conical bearing with temperature and pressure dependent viscosity', JOURNAL OF MECHANICAL ENGINEERING SCIENCE, Vol. 214, pp. 699-710, 2000 (with P.Sinha & S. Bhartiya).
  3. 'Theoretical Studies in Ferrofluid Lubrication : A review' in Indian J. Enggn. & Materials Science, 1998, pp 396-399. (with D.K.Verma, and Prawal Sinha)
  4. 'THD analysis of non-constant gap, externally pressurized conical bearings'  in Tribology Transactions (STLE), vol.38 (2), 1995, pp 438-444 .(with S.Saxena and P.Sinha)
  5. 'Effect of lubricant inertia in externally pressurized bearings with temperature dependent viscosity' in Acta  Mechanica, vol.106,1994, pp 157-171 .(with S. Saxena and P. Sinha)
  6. 'Ferrofluid Lubricaiton of Externally Pressurized  Circular Plates and Conical Bearings' in Int. J. Engg. Sci., Vol 31(4), 1993, pp. 593-604  (with P. Sinha & D. Kumar).
  7. 'Thermal and Inertia Effects in Externally Pressurized Conical Bearing' in Tribology Transactions (STLE), Vol.36(2),1993, pp 304-310. (with P. Sinha & S. Saxena)
  8. 'Ferrofluid Lubrication of Cylindrical Rollers with Cavitation'  in Acta Mechanica, Vol.98,1993, pp 27-38 .(with P. Sinha & D. Kumar)
  9. 'Ferrofluid squeeze film for spherical and conical bearing'in Int. J. Engg. Sci., Vol.301,(5), 1992, pp.645-656 . (with P. Sinha & D.Kumar)
  10. 'Ferrofluid Lubrication in Journal Bearing Considering Cavitation'  in Tribology Transactions, Vol.35(1), 1992, pp.163-169. (with P. Sinha & D. Kumar)
  11. 'Squeeze Film with Non-Newtonian Magnetic Fluid' IX Nat. Conf. on Industrial Tribology, NCIT-1991, Bangalore. (with Prawal Sinha  &  D. Kumar)
  12. 'On Consistency Variation for Lightly Loaded Rollers in Combined Rolling and Normal Motion', IX NCIT-1991, Bangalore. (with Prawal Sinha and S. A. Raj)
  13. 'Non-Newtonian Magnetic Fluid Lubrication'  in Continuum Mechanics and it Appliction (Ed G.A.C. Graham and S.K. Malik), Hemisphere Publishing CO., N.Y.1989, pp 741-750. (with D. Kumar)
  14. Effects of Surface Roughness and Additives  in  Lubrication : Generalized Reynolds Equation and its  Application to Elastohydrodynamic Film'  in Proc. Instn. Mech. Engrs., Vol. 2011, No. C1, 1987, pp. 1-9. (with P. Sinha, J.S.Kennedy,C.M. Rodkiewicz, R. Sharma and K.R. Prasad)
  15. 'Lubrication of Porous Rollers with Power Law Fluid Using Slip Condition with Reference to Synovial Joints'  in 'Physiological Fluid  Dynamics  - I,1985, pp. 167-173 .(with A. Raj and P. Sinha)
  16. 'Lubrication of Roller Bearings Considering Consistency Variation of Power Law Fluids in Combined Rolling and Normal Motion', Lyon (France)1985. (with A. Raj and P. Sinha) in Proc. 4th International Tribology Symposium (Eurotrib '85)
  17. 'Effects of Consistency Variation of Power Law Lubricants in Roller Bearings under Lightly and Heavily  Loaded Conditions'  in Proc. Nat. Conf. on Industrial Tribology, July 1984, pp. RE6.1-6. (with J.B.Shukla and K.R.Prasad)
  18. 'Effect of Rotation in Lubrication Problems : A New Fundamental solution'  in WEAR 79, 1982, pp. 311-323 (with M.B. Banerjee, G.S. Dube and K. Banerjee).
  19. 'Effects of Consistency Variation of Power Law Lubricants in Squeeze Films' in WEAR 76, 1982, pp. 299-319 .(with J.B. Shukla and K.R. Prasad)
  20. 'Effect of Small Rotation in Short Journal Bearings'in Nat. Acad. Sci. Letters, 1(9), 1981, pp. 369-372. (with M.B.Banerjee and G.S. Dube)
  21. 'Generalized Reynolds Equation with Slip at Bearing Surfaces: Multiple Layer Lubrication Theory'  in WEAR 60,1980, pp. 253-268 (with J.B. Shukla and S. Kumar) .

Other Publications (Fluid Mechanics)

  1. A study of double diffusive free convection from a corrugated vertical surface in a Darcy porous medium under soret dufour effect, J. Heat Transfer ASME 133(9), doi:10.1115/1.4003813 (with S.V.S.S.N.V.G. K. Murthy, B.V.K. Rathish, V. Sangwan, M. Nigam)
  2. Non-Darcy mixed convection in a fluid saturated square porous enclosure under suction effect: Part II, J Porous Media, Vol. 13(9), 799-805, 2010, (with S.V.S.S.N.V.G.K. Murthy, B.V.K.Rathish, V. Sangwan, M. Nigam)
  3. Non-Darcy mixed convection in a fluid saturated porous enclosure under suction effect: Part I, J Porous Media, Vol.13(6), 537-554, 2010, (with B.V.K.Rathish, S.V.S.S.N.V.G.K. Murthy, V. Sangwan, M. Nigam), 
  4. 'Krylov Subspace solver in parallel numerical computation of solutions to PDEs modeling heat transfer applications' - Numerical Heat Transfer: Part A, Applications, Vol. 45 (5), 2004, pp 479- 503. (with B.V.Rathish Kuamr, Bipin Kuamr, Shalini, Mani Mehra, V. Raghavendra, R.K. Singh, Ajit Mahendra)
  5. Theoretical Aspects of Scrap Dissolution in Oxygen Steelmaking Converters AIS Tech 2004 Proceedings - Volume II, PP -915- 926. (with G. Sethi, A. K. Shukla, P. C. Das & B. Deo)
  6. 'Pulsatile flow in tubes of varying cross-section with suction/injection'  in  J. of Australian Mathematical Soc.,Ser B,vol 35,1994, pp 366-381 (with J.S.V.R. Krishna Prasad).
  7. 'Effects of heterogeneous and homogeneous reactions on the dispertion of simple microfluid'  in IJPAM, vol.24 (9), 1993, pp 551-561 (with D. Philip) .
  8. 'Flow of a Newtonian fluid through a tube of varying cross-section and reabsorbing walls' in Far East Journal of Mathematical Sciences, Vol.1, 1993, pp 23-34. (with G. Radhakrishnamacharya)
  9. 'Low Reynolds Number Flow in Tubes of Varying Cross-section, with Absorbing Walls'in J. Math. & Physical Sciences, Vol. 26 (1) 1992, pp 19-36 . (with J.S.V.R. Krishna Prasad)
  10. 'Flow of a Visco-elastic Fluid in Tubes of Varying Cross-Section with Suction/Injection'  in Euro. J. Mech. B/Fluids, Vol.11(3), 1992, pp.277-289 .(with J.S.V.R. Krishna Prasad)
  11. 'Flow through tubes of non-uniform cross-section with permeable walls'  in 'Physiological Fluid  Dynamics-III'  ed. N.V.C.Swamy & Megha Singh, Narosa Publications,1992, pp.165-170. (with  J.S.V.R. Krishna Prasad)
  12. 'Flow in Channels of Varying Cross-Section with Permeable Boundaries'  in  the  Proc. of Nat. Acad. Sci. (India), Vol. 60, 1990, pp 317-326. (with J.S.V.R. Krishna Prasad)
  13. 'Fluid Flow and Mass Transfer in Simultaneous Mixing Separation and Teeming (SIMSET) Reactor'  in Steel  Research, 601, 1989, pp. 12-18. (with  Brahma Deo, Sarbjit Singh and Paul Grieveseon)
  14. 'Low Reynolds Number Flow in a Channel with Varying Cross-section and  Permeable Boundaries' in Biomechanics, Ed. by  K.B. Sahay and R.K. Saxena, Wiley Eastern, New Delhi, 1988, 39-45. (with  J.S.V.R. Krishna Prasad)
  15. 'Flow of Magnetic Fluid in a Channel'  in J. Magnetism and Magnetic Materials,731,1988,pp.361-366 .(with D. Kumar)
  16. 'Viscous Flow Through a Permeable Tube of Varying Cross-Section with Reference to Proximal Renal Tubule'  in 'Physiological Fluid Dynamics  - I' 1985, pp. 113-118 .(with G. Radhakrishnamacharya).

International Conferences Attended

  • International Conference on Mathematical & Theoretical Biology , Jan. 23-27, 2012, IISER, Pune
  • International Conference on Mathematical Biology, IISc. Bangalore July 7, 2011,
  • International Conf. on 'Physiological Fluid Dynamics-III', I.I.T. Madras, 1991
  • CAMS Conf on 'Continuum Mechanics and its Applications', SFU, Burnaby, B.C., Canada, 1988
  • International Conf. on 'Physiological  Fluid Dynamics-II', I.I.T. Madras, 1987
  • International Conf. on 'Physiological  Fluid  Dynamics-I', I.I.T. Madras, 1983
  • International Symposium on 'Mathematical Modelling : Ecological, Environmental and Biological  Systems', I.I.T., Kanpur, 1985
  • Indo-French  School on 'Recent  Advances  in  Computer Techniques  in Meteorology, Biomechanics and Applied  Systems', I.I.T., Delhi, 1980
  • Winter School on 'Physiological  Fluid Dynamics', I.I.T. Delhi, 1975
  • First World Conf. in 'Industrial  Tribology', New Delhi, 1972

National Conferences/ Workshops/ Seminars Attended

  • National Conference on Contemporary Developments in Mathematical Sciences and Computing, Galgotias University, Greater NOIDA, Feb 3,2013.
  • National Seminar and Training on Mathematical Modeling, MGCGV, Chitrakoot, March 2-3, 2013. Mathematical Modeling 
  • "Mathematical Modelling and Application in Sciences & Engineering" NIT Patna, March 9- 10, 2013
  • National workshop on advances & applications of Mathematical Modeling, DAV IET, Jalandhar, Feb 2, 2013
  • 57th Congress of Indian Society of Theoretical and Applied Mechanics, Dec. 2012 at DIAT, Pune. - Presidential Address
  • Workshop on ‘Mathematical Ecology and Epidemiology’, June 2012 at ISI Kolkata,
  • INPIRE programme (sponsored by DST, New Delhi) at SRM, Unnao 2012
  • Symposium on Partial differential Equations and Applications at Central Univ. Hyderabad, March 17, 2012.
  • UGC SAP Conference ‘Mathematical Modeling and Computer Simulation’ at IT-BHU, March 23-24, 2012,
  • National conference on Recent Advances in Mathematics at Lucknow University Feb 2-4, 2012.
  • International Conference on Mathematical & Theoretical Biology , Jan. 23-27, 2012, IISER, Pune, Mathematical Modeling of HIV Dynamics – A Review
  • CONIAPS XII, Rajasthan University, Jaipur, Dec. 24, 2012
  • 3rd National Symposium on Modern trends in Differential Geometry and Mathematical Modeling in Biosciences, Lucknow University, Jan. 2011, Mathematical Modeling of HIV Infection with drug therapy
  • Mathematical & Statistical Techniques and their applications to science and Engineering, BB Ambedkar University, Lucknow, Nov. 26-27, 2011, Chief Guest
  • 15th Annual Conference of Vijnana Parishad of India, DAV College Kanpur, Nov.4 -6 2012,
  • National Meet of Research Scholars in Mathematical Sciences, IIT Kharagpur, Oct. 12-15, 2011,
  • International Conference on Mathematical Biology, IISc. Bangalore July 7, 2011,
  • NMRSMS, IIT Madras, Oct. 2010, Research Methodology in Biomathematics
  • Summer workshop on Mathematical Modeling, held at Kalasalingam University, Krishnankoil, June 2010
  • 75th Conference of Indian Mathematical Society, December 2009, Kalasalingam University, Krishnankoil. - Presidential Address
  • NMRSMS, IIT Roorkee, Oct. 2009, Writing Mathematicss 
  • Seminar at Department of Mathematics, Lucknow 2009 Non-Newtonian Fluids and Biofluid Dynamics,
  • National Seminar on "Mathematics & Its Applications to Industries" - DBS College, Kanpur, Jan. 31- Feb. 1, 2009,- Delivered Presidential address.
  • National Workshop on Mathematical Modelling in Biology, S. P. Women’s University, Tirupati, February 25, 2008. Mathematical Modeling in Epidemiology
  • National Seminar on 'Advanced Fluid Mechanics', NIT Warangal, June 23- 27, 2008, Delivered Key note address Non-Newtonian Fluid Mechanics
  • National Conference on Mathematics' at Sindhu Mahavidyalay, Nagpur, Feb.1-2, 2003. Mathematical Modelling and its applications to Epidemiology'
  • Department of Mathematics, Christ Church Degree College, Kanpur, Feb. 5, 2003 Mathematical Biology
  • 'Mathematical Modelling' in Department of Mathematics, Osmania University,  Hyderabad, March 27, 2003
  • National Conference on Recent Advances in Fluid Mechanics, Osmania University, Hyderabad, March 26, 2003 A Mathematical Model for Flow through Catheterized Artery : Effect of wall Motion
  • Symposium on 'Recent Trends in Science and Technology of Magnetic Fluids', Bharuch, Gujarat, 1997, Theoretical Studies in Ferrofluid Lubrication : A review'
  • Symposium on Mathematical Modelling at I.I.T. Kanpur, March, 1988. 'Mathematical  Models  for  Peristaltic  Transport   in Biological Systems
  • Symposium  on  Biomathematics  at  the  I.M.S. Conf. Jaipur, 1986. 'Hydrodynamical Study of  Flow  Through  Proximal  Renal Tubules'
  • 4th International Conf. on Magnetic Fluids, 1986, Japan. -  Poster  Session  :Ferromagnetic Squeeze Film  and  Externally  Pressurized  Bearings
  • Nat. Conf. on  Heat Transfer in MHD, S.K. University, Anantapur (A.P.),1985. Heat Transfer to Pulsatile Flow of Conducting Fluid  in a Channel with Porous Boundaries.
  • 69th  Session of Indian Science Congress Association (Mathematics and Statistics Section) - Symposium 'Trends in  Mathematical  Biosciences'  Mysore ,Jan.1982. Mathematical Models for Synovial Joint Lubrication'
  • Symposium on Mathematical Modelling, M.R.I., Allahabad, July 1982. Mathematical Models for Pulsatile Flow in Arterioles
  • Seminar on Finite  Element  Methods  in   Biology', P.A.U. Ludhiana, Nov. 1981 Mathematical Models for Flow in Proximal Renal Tubules
  • U.G.C. Summer School  on Biofluid Dynamics, at H.B.T.I.,Kanpur, June 19-July 9, 1978  Synovial Joint Lubrication.
  •   Symposium on  Recent  Developments  in  Mathematics and its Applications', at M.R.I., Allahabad, 1978. Mathematical Analyses of Pulsatile Flow in Arteries - A  Survey.