Main Menu

Dr Gorakh  Nath

Department Department of Mathematics
Designation Assistant Professor
Educational Qualification M.Sc., NET(JRF/SRF), SRF(NASc, Banglore) Ph. D. DDU Gorakhpur University
E-mail gn_chaurasia_univgkp@yahoo.in;gnath.maths@nitrr.ac.in
Contact number 09179685737


Areas of Interest

Fluid Dynamics, Nonlinear Waves



Publications

 List of publications

A: Papers in referred journals

1. J. P. Vishwakarma and G. Nath, Similarity solutions for unsteady flow behind an    exponential shock in a dusty gas, Physica Scripta, IOP, U.K., Vol.74 (2006), 493-498

2. J. P. Vishwakarma and G. Nath, Converging detonation waves in a dusty gas, Journal of Technical Physics, Polish Academy, Poland, Vol.47 Parts III (2006), 159-173

3. J. P. Vishwakarma and G. Nath, Similarity solutions for the flow behind   an exponential shock in a non-ideal gas, Meccanica, Springer, Italy, Vol.42 (2007), 331-339

4. Vinay Chaubey and G. Nath, Magnetogasdynamic shock waves in a non-ideal gas with radiation heat flux, National Academy of Mathematics, India, Vol.15 (2001), 45-57, published in 2006.

5. G. Nath, Shock waves generated by a piston moving in a non-ideal gas in the presence of a magnetic field: isothermal flow, South East Asian Journal of Mathematics and Mathematical Sciences, India, Vol .5 (2)(2007),69-83.

6. J. P. Vishwakarma and G. Nath, Propagation of shock waves in an exponential medium with heat conduction and radiation heat flux, Modell. Meas. Control B, ASME, France, Vol.77 (3) (2008), 67-84.

7.  J. P. Vishwakarma and G. Nath and K.K. Singh, Propagation of shock waves in a dusty gas with heat conduction, radiation heat flux and exponentially varying density, Physica Scripta, IOP, U.K.,Vol.78(2008) 035402 (11)

8.  J. P. Vishwakarma and G. Nath, Self-similar solution of a shock propagation in a mixture of a non-ideal gas and small solid particles, Meccanica, Springer, Italy, Vol. 44 (2009), 239-254.

9.   G. Nath, Propagation of a cylindrical shock wave in a rotational axisymetric dusty gas with exponentially varying density, Research in Astron. Astrophys.  2010 Vol. 10 No. 5, 445–460, IOP, U.K.,

10. J. P. Vishwakarma and G. Nath, Propagation of a cylindrical shock wave in a    rotating dusty with heat conduction and radiation heat flux,  Physica Scripta, IOP, U.K. Vol. 81 (2010) 045401 (9pp)

11. G. Nath, Magnetogasdynamic shock wave generated by a moving piston in a rotational axisymmetric isothermal flow of perfect gas with variable density Advances in Space Research 47 (2011) 1463–1471, Elsevier Science.

12.  J. P. Vishwakarma and G. Nath, Similarity solution for a cylindrical shock wave in a rotational axisymmetric dusty gas with heat conduction and radiation heat flux, Communications in Nonlinear Science and Numerical Simulation, Elsevier Science (2011), doi:10.1016/j.cnsns.2011.04.021

13. G. Nath and A. K. Sinha, A self-similar flow behind a magnetogasdynamics shock wave generated by a moving piston in a gravitating gas with variable density: isothermal flow, Phys.Res.Inter.Vol. 2011, Article ID 782172, 8 pages. doi:10.1155/2011/782172

14. G. Nath, Self-similar flow of a rotating dusty gas behind the shock wave with increasing energy, conduction and radiation heat flux J. Adv. Space Res. (2011), doi:10.1016/j.asr.2011.09.008

15.  J. P. Vishwakarma and G. Nath, Spherical shock wave generated by a moving piston in mixture of a non-ideal gas and small solid particles under a gravitational field, CommunNonlinearSciNumer Simulat (2011), doi:10.1016/j.cnsns.2011.10.018

16.  G. Nath, Self-similar solution of cylindrical shock wave propagation in a rotational   axisymmetric mixture of a non-ideal gas and small solid particles, Meccanica, DOI 10.1007/s11012-012-9543-4

17. G Nath, Similarity solution for unsteady isothermal flow behind a magnetogasdynamic shock wave in a gravitating gas with increasing energy and variable density,WASET, 61, 1081-1089, 2012, Confrence Proceeding

18. G. Nath, Propagation of a cylindrical shock wave in a rotational axisymmetric isothermal flow of a non-ideal gas in magnetogasdynamics (Ain Shams Eng. J., Elsevier Science, doi:10.1016/j.asej.2012.03.009 )

19.  J. P. Vishwakarma and G. Nath, Magnetogasdynamic shock waves in a rotating gas with exponentially varying density , ISRN Mathematical Physics Volume 2012, Article ID 168315, 11 pagesdoi:10.5402/2012/168315

B:  Chapter published in book: Advances in Engineering Research Volume 2

    1. J. P. Vishwakarma and G. Nath, Cylindrical shock wave generated by a piston moving in a non-uniform self-gravitating rotational axisymmetric gas in the presence of conduction and radiation heat-flux (Advances in Engineering Research Volume 2 Editor: Victoria M. Petrova PP. 537-576,  ISBN#978-1-61324-709-9, Nova Publisher in May. 2011, USA, Price $ 215).

C:Research Results Published in News Papers:

  1. Journal of Engineering , Vishwakarma and Colleagues, Advance Knowledge in Mechanical Engineering, July 1, 2009 ,  in newspaper
  2.  Physics Week , G Nath update knowledge of astronomy and astrophysics, July 6, 2010 in newspaper

D: List of Papers Communicated for publication:

1.  G. Nath and J. P. Vishwakarma, Similarity solutions for the flow behind the shock   wave in a non-ideal gas with heat conduction and radiation heat flux in magnetogasdynamics 

2.  G Nath , Self-Similar solution for unsteady flow behind an exponential shock in axisymmetric rotating dusty gas 

3. G Nath, Self-similar flow behind a spherical shock wave in a non-ideal dusty gas under the gravitational field: isothermal flow 

4.  G. Nath , V K Srivastava and A. K. Sinha,  Propagation of magnetogasdynamic shock waves in a self-gravitating medium with density varying exponentially

5. G. Nath and J P Vishwakarma, Propagation of a strong spherical shock wave in a gravitating or non-gravitating dusty gas with exponentially varying density 



Other Info.

 List of papers presented in conferences and abstract published:

1. J. P. Vishwakarma and G. Nath, Propagation of shock waves in an exponential medium with heat conduction and radiation heat flux (presented in International Academy of Physical Sciences, 2004).

2. J. P. Vishwakarma and G. Nath, Similarity solutions for unsteady flow behind an exponential shock in a dusty gas (presented in ISMAMS, 2004).

3 J. P. Vishwakarma and G. Nath, Converging detonation waves in a dusty (presented in ISMAMS, 2005).

4. J. P. Vishwakarma and G. Nath, Similarity solution for the flow behind the shock wave in a non-ideal gas with heat conduction and radiation heat flux in magnetogasdynamics (presented in ISMAMS, 2007).

5.J. P.Vishwakarma and G. Nath, Magnetogasdynamic shock wave in a rotating gas with exponentially varying density (presented in ISMAMS, 2008).

6.    J. P. Vishwakarma and G. Nath, Propagation of a cylindrical shock wave in a   rotating dusty with heat conduction and radiation heat flux (presented in ISMAMS, 2009).

7.  G. Nath, Self-similar flow behind a spherical shock wave generated by a piston moving in a gravitating or non-gravitating mixture of a non-ideal gas and small solid particles ( 29-th meeting of Astronomical Society of India, ASI 2011, Feb. 23-25, 2011, Raipur, India)

8. G. Nath, Propagation of a cylindrical shock wave in a rotational axisymmetric isothermal flow of a non-ideal gas in magnetogasdynamics (presented in national conference , 24-25 June 2011, DDU GKP University)

 Abstract published and accepted for presentation in international    conferences but not presented:

 1.G. Nath, Self-similar flow of a rotating dusty gas behind the shock wave with   increasing energy, conduction and radiation heat flux (In International Congress of Mathematicians at Hyderabad during 19-27 August 2010, with Financial Support)

 2. G. Nath, Self-similar solution of cylindrical shock wave propagation in a  rotational axisymmetric mixture of a non-ideal gas and small solid particles ( In Committee on Space Research During 18-25 July 2010, Germany, Berlin  )

 3. G Nath , Self-Similar solution for unsteady flow behind an exponential shock in axisymmetric rotating dusty gas (In  7th International Congress on Industrial & Applied Mathematics, July 18 – 22, 2011,Vancouver, British Columbia, Canada, with Financial Support)

Abstract Published and Presentation in International Conferences:

1. G Nath, Similarity solution for unsteady isothermal flow behind a magnetogasdynamic shock wave in a gravitating gas with increasing energy and variable density, The VIII -Internal Conference on Fluid Mechanics, Heat Transfer and Thermodynamics, January 15- 17, 2012, Zurich, Switzerland

2. G Nath, Self-similar flow behind a spherical shock wave in a non-ideal dusty gas under the gravitational field: isothermal flow, 39th COSPAR Scientific Assembly, during 14-22 July 2012, Mysore, India, with Financial Support


 Award and Recognitions:

* Second Position in order of Merit in Degree College in B.Sc. Examination

* Third Position in order of Merit in the University Examination in M. Sc.

* CSIR-UGC-JRF NET Qualified in December 2002

* Junior Research Fellowship by UGC New Delhi from July 2003 to June 2005.

* Senior Research Fellowship by UGC New Delhi from July 2005 to June 2006.

* Post Doc Fellowship: Summer Research Fellowship for faculty in 2010 by Indian Academy of Sciences, Banglore (2 Months) to work with Prof B S Dandapat, ISI Kolkata

* Post Doc Fellowship: Summer Research Fellowship for faculty in 2012 by Indian Academy of Sciences, Banglore (2Months) to work with Prof. G. Jagdeesh, IISc, Banglore


 Any Other Relevant Information:

Member of the editorial board of the journal:

Journal of Mechanical Engineering and Automationshttp://journal.sapub.org/jmea

Worked as reviewer of the journals:

      1. Journal Heat and Mass Transfer (Springer) two times in May and Nov. 2011

      2. Ain Shams Engineering Journal, Elsevier Science in August 2011

      3. Meccanica, (Springer) two times in Sept. and December 2011

      4.  Journal of Applied Mathematics, Hindawi Publisher September 2011

      5. Modell. Meas. Control B, ASME, France, April 2012


Workshop/SERC School attended:

  1.  International Workshop on Recent Advances in Computational Fluid Dynamics (A Satellite Event of ICM 2010), Organized by the Department of Mathematics, IIT Guwahati 30 August 2010 to 2 September 2010.

2. National Workshop on Research Oriented Advanced Statistical Techniques (Sponsored by CSIR and DST, New Delhi) Organized by ISMAMS, Gorakhpur 23 Dec. to 28 December 2010.

3.  Science & Engineering Research Council (SERC) School on Development and Transformation Theory of Ordinary and Basic Hypergeometric Series (Sponsored by DST, New Delhi) Organized by ISMAMS, Gorakhpur On May 16, 2011-June 1