P. L. Bhatnagar

9.1k total citations · 1 hit paper
42 papers, 6.7k citations indexed

About

P. L. Bhatnagar is a scholar working on Computational Mechanics, Applied Mathematics and Fluid Flow and Transfer Processes. According to data from OpenAlex, P. L. Bhatnagar has authored 42 papers receiving a total of 6.7k indexed citations (citations by other indexed papers that have themselves been cited), including 17 papers in Computational Mechanics, 11 papers in Applied Mathematics and 9 papers in Fluid Flow and Transfer Processes. Recurrent topics in P. L. Bhatnagar's work include Fluid Dynamics and Turbulent Flows (11 papers), Rheology and Fluid Dynamics Studies (9 papers) and Fluid Dynamics and Vibration Analysis (7 papers). P. L. Bhatnagar is often cited by papers focused on Fluid Dynamics and Turbulent Flows (11 papers), Rheology and Fluid Dynamics Studies (9 papers) and Fluid Dynamics and Vibration Analysis (7 papers). P. L. Bhatnagar collaborates with scholars based in India, United States and United Kingdom. P. L. Bhatnagar's co-authors include Max Krook, Eugene P. Gross, M. S. Ramanujan, Heung Wong, P. L. Sachdev, Amit Jain, M. P. Srivastava, P.D.S. Verma, R. Ravindran and Donald H. Menzel and has published in prestigious journals such as Journal of Applied Physics, Journal of Fluid Mechanics and The Astronomical Journal.

In The Last Decade

P. L. Bhatnagar

37 papers receiving 6.3k citations

Hit Papers

A Model for Collision Processes in Gases. I. Small Amplit... 1954 2026 1978 2002 1954 2.0k 4.0k 6.0k
What are hit papers?

Hit papers significantly outperform the citation benchmark for their cohort. A paper qualifies if it has ≥500 total citations, achieves ≥1.5× the top-1% citation threshold for papers in the same subfield and year (this is the minimum needed to enter the top 1%, not the average within it), or reaches the top citation threshold in at least one of its specific research topics.

  1. A Model for Collision Processes in Gases. I. Small Amplitude Processes in Charged and Neutral One-Component Systems
    1954 6.3k citations P. L. Bhatnagar, Eugene P. Gross et al. Physical Review profile →

Peers

P. L. Bhatnagar
Max Krook United States
G. A. Bird Australia
Pierre-Arnaud Raviart France
M. Y. Hussaini United States
Kurt Friedrichs United States
Gary D. Doolen United States
Mark H. Carpenter United States
Bernardo Cockburn United States
Jim Douglas United States
J. U. Brackbill United States
Max Krook United States
P. L. Bhatnagar
Citations per year, relative to P. L. Bhatnagar P. L. Bhatnagar (= 1×) peers Max Krook

Countries citing papers authored by P. L. Bhatnagar

Since Specialization
Citations

This map shows the geographic impact of P. L. Bhatnagar's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by P. L. Bhatnagar with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites P. L. Bhatnagar more than expected).

Fields of papers citing papers by P. L. Bhatnagar

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by P. L. Bhatnagar. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by P. L. Bhatnagar. The network helps show where P. L. Bhatnagar may publish in the future.

Co-authorship network of co-authors of P. L. Bhatnagar

This figure shows the co-authorship network connecting the top 25 collaborators of P. L. Bhatnagar. A scholar is included among the top collaborators of P. L. Bhatnagar based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with P. L. Bhatnagar. P. L. Bhatnagar is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

20 of 20 papers shown
1.
Bhatnagar, P. L., et al.. (2013). WEISSENBERG AND MERRINGTON EFFECTS IN NON-NEWTONIAN FLUIDS. 45(3). 57. 1 indexed citations
2.
Bhatnagar, P. L.. (2013). THE EQUILIBRIUM OF A SELF-GRAVITATING INCOMPRESSIBLE FLUID SPHERE WITH MAGNETIC FIELD.. 40(2). 50. 1 indexed citations
3.
Bhatnagar, P. L.. (1979). Nonlinear waves in one-dimensional dispersive systems. Clarendon Press eBooks. 98 indexed citations
4.
Bhatnagar, P. L., et al.. (1978). On the hydrodynamic and hydromagnetic stability of superposed fluids. 12. 267–286. 1 indexed citations
5.
Bhatnagar, P. L. & Heung Wong. (1974). A numerical procedure for a plane couette flow with a rectangular cavity. Proceedings of the Indian Academy of Sciences - Section A. 79(4). 173–194. 10 indexed citations
6.
Bhatnagar, P. L.. (1973). Lommel type integrals involving products of three Bessel functions. Rikkyo University academic repository (Rikko Roots) (Rikkyo University). 22(1). 1–11. 1 indexed citations
7.
Bhatnagar, P. L., et al.. (1971). Study of self-similar and steady flows near singularities II. A case of multiple characteristic velocity. Proceedings of the Royal Society of London A Mathematical and Physical Sciences. 322(1548). 45–62. 1 indexed citations
8.
Bhatnagar, P. L., et al.. (1970). Study of self-similar and steady flows near singularities. Proceedings of the Royal Society of London A Mathematical and Physical Sciences. 315(1523). 569–584. 3 indexed citations
9.
Bhatnagar, P. L., et al.. (1969). Transport processes in dense gases. Proceedings of the Royal Society of London A Mathematical and Physical Sciences. 309(1497). 245–257. 2 indexed citations
10.
Bhatnagar, P. L. & M. P. Srivastava. (1969). Heat Transfer in Plane Couette Flow of a Rarefied Gas using Bhatnagar-Gross-Krook Model. The Physics of Fluids. 12(4). 938–940. 4 indexed citations
11.
Bhatnagar, P. L., et al.. (1965). Propagation of a spherical shock in an inhomogeneous self-gravitating or nongravitating system. ˜Il œNuovo cimento della Società italiana di fisica. B/˜Il œNuovo cimento B. 40(2). 383–415. 4 indexed citations
12.
Bhatnagar, P. L., et al.. (1965). Flow of a reiner-rivlin fluid between two concentric, rough circular cylinders rotating about their common axis. Proceedings of the Indian Academy of Sciences - Section A. 62(6). 347–357. 2 indexed citations
13.
Bhatnagar, P. L., et al.. (1963). Three dimensional boundary layer on a yawed semi-infinite flat plate with or without suction and injection. Proceedings of the Indian Academy of Sciences - Section A. 57(3). 148–180. 1 indexed citations
14.
Bhatnagar, P. L.. (1963). Non-linear waves. 59. 1 indexed citations
15.
Bhatnagar, P. L.. (1962). On the BGK Collision Model for a Two-Component Assembly. 54. 234. 1 indexed citations
16.
Jain, Amit & P. L. Bhatnagar. (1962). On Incompressible Laminar Boundary Layer, with Pressure Gradient and with or without Suction. ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik. 42(1-2). 1–8. 4 indexed citations
17.
Bhatnagar, P. L.. (1961). On two-dimensional boundary layer in non-newtonian fluids with constant coefficients of viscosity and cross-viscosity. Proceedings of the Indian Academy of Sciences - Section A. 53(2). 95–97. 11 indexed citations
18.
Bhatnagar, P. L. & P.D.S. Verma. (1957). On superposable flows. Proceedings of the Indian Academy of Sciences - Section A. 45(5). 281–292. 5 indexed citations
19.
Bhatnagar, P. L., Eugene P. Gross, & Max Krook. (1954). A Model for Collision Processes in Gases. I. Small Amplitude Processes in Charged and Neutral One-Component Systems. Physical Review. 94(3). 511–525. 6269 indexed citations breakdown →
20.
Bhatnagar, P. L. & Fred L. Whipple. (1954). Accretion of matter by a satellite. The Astronomical Journal. 59. 121–121. 1 indexed citations

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

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