| Title | Prof. | First Name | ARVIND | Last Name | PATEL |
|
|
|---|---|---|---|---|---|---|---|
| Designation | Professor | ||||||
| Department | Department of Mathematics | ||||||
| apatel@maths.du.ac.in | |||||||
| Webpage | |||||||
| Phone.no | 011-27666658 | ||||||
| Employement Info | |||||||
|---|---|---|---|---|---|---|---|
| Employee Type | Nature Of Employment | ||||||
| Teaching | Permanent | ||||||
| Educational Qualifications | |||||||
|---|---|---|---|---|---|---|---|
| Degree/Certification Name | Institution | Year of Completion | |||||
| Ph.D. - PhD | DDU Gorakhpur University Gorakhpur | 2009 | |||||
| PG | DDU Gorakhpur University Gorakhpur | 2000 | |||||
| UG | DDU Gorakhpur University Gorakhpur | 1998 | |||||
| HSC | Board of High School and Intermediate Education, Uttar Pradesh | 1995 | |||||
| SSC | Board of High School and Intermediate Education, Uttar Pradesh | 1993 | |||||
| Qualifications | |||||||
|---|---|---|---|---|---|---|---|
| Examination Name | Conducting Body | Date of Passing | |||||
| NET | CSIR, New Delhi | 26-06-2003 | |||||
| Fellowship Details | |||||||
|---|---|---|---|---|---|---|---|
| Name Of Fellowship | Awarding Body | Fellowship Level | |||||
| Junior Research Felloship | CSIR | National | |||||
| Senior Research Fellowship | CSIR, New Delhi | National | |||||
| Teaching Experience (Within Institution) | |||
|---|---|---|---|
| Designation | Duration | ||
| Guest Lecturer | 01-07-2003 To 13-03-2007 (3 years, 8 months, 12 days) | ||
| Lecturer | 14-03-2007 To 29-10-2009 (2 years, 7 months, 15 days) | ||
| Assistant Professor | 30-10-2009 To 13-03-2019 (9 years, 4 months, 11 days) | ||
| Associate Professor | 14-03-2019 To 13-03-2021 (1 years, 11 months, 27 days) | ||
| Professor | 14-03-2022 To 04-09-2022 (5 months, 21 days) | ||
| Administrative Experience (Within Institution) | |||
|---|---|---|---|
| Designation | Duration | ||
| Associate Professor | 01-07-2019 To 30-06-2020 (11 months, 29 days) | ||
| Associate Professor | 01-07-2020 To 30-06-2021 (11 months, 29 days) | ||
| Associate Professor | 01-07-2021 To 30-06-2022 (11 months, 29 days) | ||
| Professor | 01-07-2023 To 06-10-2023 (3 months, 5 days) | ||
| Professor | 01-07-2022 To 30-06-2023 (11 months, 29 days) | ||
| Courses/Subjects Taught | ||||||
|---|---|---|---|---|---|---|
| Teaching Activity Type | Course Title | Semester | Total Assigned Classes | Number of Classes Taught | Duration | |
| Lecture | Complex Analysis | 1 | 60 | 57 | 03-12-2021 To 21-03-2022 (3 months, 18 days) | |
| Research Supervision Overview | |||||||
|---|---|---|---|---|---|---|---|
| PhD Scholars Supervised | PhD Degrees Awarded | Theses Submitted | |||||
| 3 | 5 | 1 | |||||
| M.Phil Scholars Supervised | M.Phil Degrees Awarded | M.Phil Theses Submitted | |||||
| 1 | 15 | 0 | |||||
| Research Publications | |||||||
|---|---|---|---|---|---|---|---|
| Title of Article | Type of Publication | Name of Journal | ISSN | Journal Volume | Year | Link to Article | DOI (Digital Object Identifier) |
| Self-similar flow behind a shock wave in a gas under the effect of viscosity, heat conduction, and variable ambient density | Research Papers in Web of Science Listed Journals | Physica Scripta | 1402-4896 | 99 | 2024 | https://iopscience.iop.org/article/10.1088/1402-4896/ad6f4f | DOI 10.1088/1402-4896/ad6f4f |
| Heat and mass transfer under MHD mixed convection in a four-sided lid-driven square cavity | Research Papers in Scopus Listed Journals | Heat Transfer | 2688-4542 | 2024 | https://onlinelibrary.wiley.com/doi/full/10.1002/htj.22993 | doi:10.100 2/htj.22993 | |
| Dynamical behaviour of solitons and modulation instability analysis of a nonautonomous (1 + 1)-dimensional nonlinear Schrödinger equation | Research Papers in Web of Science Listed Journals | Optik : International Journal for Light and Electron Optics | ISSN: 1618-1336 | 293 | https://doi.org/10.1016/j.ijleo.2023.171412 | ||
| Shock wave structure in non-polar diatomic and poly-atomic dense gases under rotation and vibration | Research Papers in Web of Science Listed Journals | Physics of Fluids | 10706631 | 34 | https://aip.scitation.org/doi/10.1063/5.0097397 | https://doi.org/10.1063/5.0097397 | |
| Heat and mass transfer in a two-sided lid-driven square cavity with non-uniform sinusoidal heating on horizontal walls | Research Papers in Web of Science Listed Journals | The European Physical Journal Plus | 2190-5444 | 134 | https://link.springer.com/article/10.1140/epjp/s13360-021-02040-4 | https://doi.org/10.1140/epjp/s13360-021-02040-4 | |
| Mixed convection in a two-sided and four-sided lid-driven square porous cavity | Research Papers in Web of Science Listed Journals | International Journal of Heat and Technology | 0392-8764 | 39(3) | https://www.iieta.org/journals/ijht/paper/10.18280/ijht.390305 | https://doi.org/10.18280/ijht.390305 | |
| Modulation instability analysis of a nonautonomous (3+1)-dimensional coupled nonlinear Schrödinger equation | Research Papers in Web of Science Listed Journals | Non-linear Dynamics | 1573-269X | 104 | https://link.springer.com/article/10.1007/s11071-021-06558-1 | https://doi.org/10.1007/s11071-021-06558-1 | |
| Dispersion and phase managed optical soliton solutions of a nonautonomous (3+1)-dimensional coupled nonlinear | Research Papers in Web of Science Listed Journals | OPTIK | 0030-4026 | 242 | https://www.sciencedirect.com/science/article/pii/S0030402621003673?via%3Dihub | https://doi.org/10.1016/j.ijleo.2021.166648 | |
| Similarity Solution for the Flow Behind a Magnetogasdynamic Exponential Shock Wave in a Perfect Gas with Varying Density, Heat Conduction, and Radiation Heat Flux | Research Papers in Web of Science Listed Journals | Journal of Engineering Physics and Thermophysics | 1062-0125 | 94(1) | https://link.springer.com/article/10.1007/s10891-021-02288-8 | https://doi.org/10.1007/s10891-021-02288-8 | |
| Mixed convection in four-sided lid-driven sinusoidally heated porous cavity using stream function-vorticity formulation | Research Papers in Web of Science Listed Journals | SN Applied Sciences | 2523-3971 | 2 | https://link.springer.com/article/10.1007/s42452-020-03815-7 | https://doi.org/10.1007/s42452-020-03815-7 | |
| Shock wave structure in non-ideal dilute gas under variable Prandtl number | Research Papers in Web of Science Listed Journals | Shock Waves | 0938-1287 | 30(6) | https://link.springer.com/article/10.1007/s00193-020-00972-x | DOI 10.1007/s00193-020-00972-x | |
| Construction of the soliton solutions and modulation instability analysis for the Mel'nikov system | Research Papers in Web of Science Listed Journals | Chaos, Solitons and Fractals | 0960-0779 | 140 | https://www.sciencedirect.com/science/article/pii/S0960077920305555?via%3Dihub | https://doi.org/10.1016/j.chaos.2020.110159 | |
| The four-sided lid driven square cavity using stream function-vorticity formulation | Research Papers in Web of Science Listed Journals | Journal of Applied Mathematics and Computational Mechanics | 2353-0588 | 19(2) | https://amcm.pcz.pl/?id=view&volume=19&issue=2&article=2 | DOI: 10.17512/jamcm.2020.2.02 | |
| Travelling wave solution of a Riemann problem and shock structure in an unsteady flow of a perfect gas under viscosity | Research Papers in Web of Science Listed Journals | International Journal of Heat and Technology | 0392-8764 | 37(3) | https://www.iieta.org/journals/ijht/paper/10.18280/ijht.370329 | https://doi.org/10.18280/ijht.370329 | |
| Shock wave structure in a non-ideal gas under temperature and density dependent viscosity and heat conduction | Research Papers in Web of Science Listed Journals | Theoretical and Computational Fluid Dynamics | 0935-4964 | 33 | https://doi.org/10.1007/s00162-019-00505-y | DOI 10.1007/s00162-019-00505-y | |
| Soliton solutions and modulation instability analysis of the coupled Zakharov-Kuznetsov equation | Research Papers in Web of Science Listed Journals | European Physical Journal Plus | 2190-5444 | 134 | https://link.springer.com/article/10.1140/epjp/i2019-12521-6 | DOI 10.1140/epjp/i2019-12521-6 | |
| Exact solution of shock-wave structure in a non-ideal gas under constant and variable coefficient | Research Papers in Web of Science Listed Journals | Shock Waves | 0938-1287 | 29 | https://link.springer.com/article/10.1007/s00193-018-0855-8 | https://doi.org/10.1007/s00193-018-0855-8 | |
| Study of generalized ZK-BBM equation to construct solitary patterns solutions via variational iteration method | Research Papers in Peer Reviewed Journals | Far East Journal of Mathematical Sciences | 0972-0871 | 103(11) | http://www.pphmj.com/abstract/11652.htm | http://dx.doi.org/10.17654/MS103111721 | |
| Self similar flow behind an exponential shock wave in a self-gravitating, rotating axisymmetric dusty gas with heat conduction and radiation heat flux | Research Papers in Web of Science Listed Journals | Indian Journal of Physics | 0973-1458 | 92(9) | https://link.springer.com/article/10.1007/s12648-018-1199-z | https://doi.org/10.1007/s12648-018-1199-z | |
| Travelling wave solution of shock structure in an unsteady flow of a viscous non-ideal gas | Research Papers in UGC listed Journals | Ganita | 0046-5402 | 68(1) | http://bharataganitaparisad.com/ganita-volume-68-1/ | No DOI | |
| Dark and kink soliton solution of generalized ZKBBM equation by iterative scheme | Research Papers in Web of Science Listed Journals | Chinese Journal of Physics | 0577-9073 | 56 | https://www.sciencedirect.com/science/article/abs/pii/S0577907317313126?via%3Dihub | https://doi.org/10.1016/j.cjph.2018.03.012 | |
| Homotopy analysis method for one dimensional unsteady adiabatic gas flow | Research Papers in Scopus Listed Journals | International Journal of Pure and Applied Mathematics | 1311- 8080 | 115(4) | https://ijpam.eu/contents/2017-115-4/3/index.html | DOI: 10.12732/ijpam.v115i4.3 | |
| Similarity Solution for a cylindrical shock wave in a self-gravitating, rotating axisymmetric dusty gas with heat conduction and radiation heat flux | Research Papers in Scopus Listed Journals | Journal of Applied Fluid Mechanics | 1735-3572 | 10(1) | https://www.jafmonline.net/JournalArchive/article_432.html | 10.18869/ACADPUB.JAFM.73.238.25679 | |
| Study of a one -dimensional unsteady gas dynamic problem by Adomian decomposition method | Research Papers in Scopus Listed Journals | International Journal of Applied Mathematics | 1311-1728 | 29(6) | http://www.diogenes.bg/ijam/contents/2016-29-6/8/index.html | doi: http://dx.doi.org/10.12732/ijam.v29i6.8 | |
| A self-similar flow headed by a cylindrical shock wave in a rotating dusty gas | Research Papers in Peer Reviewed Journals | National Academy of Mathematics, India | 0970-5228 | 28 | No DOI | ||
| A self-similar Flow behind a Shock Wave in a Dusty Gas under a Gravitational Field | Research Papers in Peer Reviewed Journals | National Academy of Mathematics, India | 0970-5228 | 27 | No DOI | ||
| Self-similar solution of a shock propagation in a non-ideal gas | Research Papers in Peer Reviewed Journals | International Journal of Applied Mechanics and Engineering | 1734- 4492 | 12(3) | No DOI | ||
| Self-similar solution of Magnetogasdynamic spherical shock propagation in a rotating medium with radiation heat flux | Research Papers in Peer Reviewed Journals | South East Asian Journal of Mathematics and Mathematical Sciences | 0972- 7752 | 5(2) | No DOI | ||
| Research Projects | ||||||
|---|---|---|---|---|---|---|
| Project Title | Project Type | Year Of Sanction | Outcome/Output | Duration | ||
| Structure of shock waves in polyatomic gases, | Minor | 2021 | Completed with one research paper published in Physics of Fluids | 29-10-2021 To 15-03-2022 (4 months, 14 days) | ||
| Recent Analytic methods and their application in fluid flow problems | Minor | 2015 | Completed with research publication | 15-10-2015 To 14-10-2016 (11 months, 29 days) | ||
| Solution of system of hyperbolic conservation laws by Adomian Decomposition Methods and its application in fluid dynamics, | Minor | 2014 | Completed with two research papers publication | 15-10-2014 To 30-09-2015 (11 months, 15 days) | ||
| Shock Phenomena in Conducting and Non-Conducting Media | Minor | 2013 | Completed with research insight in the topic | 21-10-2013 To 15-03-2014 (4 months, 22 days) | ||
| Shock Phenomena in a dusty gas in absence and presence of magnetic field, heat conduction and thermal radiation | Minor | 2011 | Completed with research insights | 16-06-2011 To 15-02-2012 (7 months, 30 days) | ||
| Study of shock waves in gases under the effect of viscosity | Minor | 2023 | Completed. One research paper published and one accepted for publication in SCIE Journals | Ongoing since 31-08-2023 (1 years, 2 months, 21 days) | ||
| Structure of shock waves in two phase flow under the magnetic field | Minor | 2022 | Three research paper prepared. One is published, one accepted and one is communicated for the publication(Under review). | 31-08-2022 To 15-02-2023 (5 months, 15 days) | ||
| Shock waves in a viscous gas under the effect of heat conduction and magnetic field | Minor | 2024 | Ongoing since 30-08-2024 (2 months, 22 days) | |||
| Professional Development Programmes | |||||||
|---|---|---|---|---|---|---|---|
| Programme Title | Sponsoring Institution | Organizing Institution | Role | Type of Programme | |||
| One week faculty development program on Communication and Presentation skill in Classroom teaching | DUCC, University of Delhi, Delhi 110007 | DUCC, University of Delhi, Delhi 110007 | Attendee | Faculty Development Programmes | |||
| Research Data Analysis using SPSS | Delhi School of Analytics, IoE, Delhi University | DUCC Delhi University and SPSS South Asia | Attendee | Other | |||
| Industrial Training on data Sciences and artificial Intelligence | Delhi University, Delhi | DUCC, Delhi University and DesignTech Systems Pvt. Ltd. | Attendee | Other | |||
| Webinar on Understanding Plagiarism Detection Software Ouriginal | Delhi University, Delhi | DUCC, University of Delhi in Association with e- Galactic Pune | Attendee | Faculty Development Programmes | |||
| Faculty Development Program on Cyber Security, High Performance Computing, AI/ML and GenAI | Delhi University, Delhi | DUCC University of Delhi and AWS | Attendee | Faculty Development Programmes | |||
| Refresher Course on Mathematical Sciences | UGC New Delhi | CPDHE- HRDC University of Delhi | Attending | Refresher Program | |||
| Instructional School for Lecturers in 'Numerical Analysis' | National Centre for Mathematics | Department of Mathematics, Panjab University, Chandigarh | Attending | Faculty Development Programmes | |||
| Conservation Laws with Applications to Continuum Mechanics | National Centre for Mathematics | Department of Mathematics, Panjab University, Chandigarh | Attending | Faculty Development Programmes | |||
| Workshop on MOOCs, e-content development and Open Educational Resources | UGC-HRDC | CPDHE (UGC-HRDC) University Of Delhi, Delhi | Attending | Short Term Program | |||
| Short term course on Research Methodology | UGC-HRDC | CPDHE (UGC-HRDC) University Of Delhi, Delhi | Attending | Short Term Program | |||
| Refresher course in Mathematical Sciences | UGC | CPDHE (UGC-HRDC)University Of Delhi | Attending | Refresher Program | |||
| ORE-81 | UGC | CPDHE (UGC-HRDC)University Of Delhi | Attending | Orientation Programme | |||
| Honors and Awards | |||||||
|---|---|---|---|---|---|---|---|
| Name of the Award | Awarding Body | Award Category | Level | Award Date | |||
| DST Inspire Science Camp | DST INSPIRE | Extension | National | 25-09-2014 | |||
| UGC NEW DELHI | CPDHE, University of Delhi | Extension | National | 14-01-2013 | |||
| UGC NEW DELHI | CPDHE, University of Delhi | Extension | National | 15-09-2022 | |||
| Department of Physical Sciences | SGT University, Gurugram, Haryana | Extension | National | 19-03-2016 | |||
| UGC New Delhi | CPDHE -HRDC University of Delhi | Extension | National | 16-01-2013 | |||
| Talk Poster Presented | |||||||
|---|---|---|---|---|---|---|---|
| Name of the Activity | Role | Date of Activity | |||||
| Structure of shock wave by continuum versus kinetic mode | Invited Talk | 25-11-2018 | |||||
| Solitary wave and travelling wave solution | Invited Talk | 21-10-2016 | |||||
| Variational iteration method: Theory and Application | Invited Talk | 16-10-2016 | |||||
| Shock wave structure in a viscous non ideal gas under heat conduction and radiation heat flux | Oral Presentation | 14-02-2017 | |||||
| Exact solution of shock wave structure in a non ideal gas under constant and variable coefficient of viscosity and heat- conductivity | Oral Presentation | 27-04-2017 | |||||
| Non-linear wave equation and solitons | Invited Talk | 24-07-2016 | |||||
| Solitary patterns solution of gZK-BBM nonlinear evolution equation via variational iteration method | Oral Presentation | 23-07-2016 | |||||
| An application of homotopy perturbation method for modified boundary boundary layer equations over a flat plate | Oral Presentation | 12-04-2016 | |||||
| Homotopy Perturbation Method: Theory and Application | Invited Talk | 13-04-2016 | |||||
| Solution of system of gas dynamic equation for the unsteady adiabatic flow by Adomian decomposition method | Oral Presentation | 26-02-2016 | |||||
| Homotopy analysis method for the solution of the system of unsteady gas flow | Oral Presentation | 18-12-2015 | |||||
| Similarity Solution for a cylindrical Shock Wave in a Self-gravitating, Rotating and axisymmetric dusty gas with heat conduction and radiation | Oral Presentation | 21-02-2014 | |||||
| Adomian Decomposition Method: a new approach to Partial Differential Equations | Invited Talk | 22-02-2014 | |||||
| The Dimensional Analysis and its Application | Invited Talk | 24-02-2013 | |||||
| A Self-similar flow of a mixture of nonideal gas and small solid particles behind an exponential shock | Oral Presentation | 12-03-2012 | |||||
| Self-similar adiabatic flow headed by a cylindrical shock wave in a rotating dusty gas | Oral Presentation | 23-02-2008 | |||||
| Self-similar flow behind a shock wave in a dusty gas with gravitational field | Oral Presentation | 17-03-2007 | |||||
| Delivered an invited talk on " Lattice Boltzmann method and its Applications in fluid Dynamics" | Speaker | 03-12-2023 | |||||