John Chapman

Title: Professor
Phone: 01782 733262
Email: c.j.chapman@keele.ac.uk
Location: MacKay Building Room 2.15
Role:
Contacting me: Please call at my office

I am a Tutor, a Member of the Senior Management Team of the School of Computing and Applied Mathematics and a Member of the Board of the Research Institute for the Environment, Physical Sciences, and Applied Mathematics (EPSAM).

I was a student at Cambridge University, where I obtained a first-class honours degree in Mathematics and was later a Fellow of Christ's College. This college is the subject of C. P. Snow's novel 'The Masters'. I obtained a PhD in Applied Mathematics at Bristol University, on a topic in fluid dynamics. While working at Keele, I have written a text-book, High Speed Flow, published by Cambridge University Press in 2000. I have been interested in mathematics since I was a school-boy; I taught myself calculus from a book called `Calculus made easy' about a year before we came to the subject in class (the author was right: he did make it easy). For two years I worked in the nuclear power industry, where I did `real-life' applied mathematics on the safety of nuclear reactors. I have spent four periods of three months working in the USA, and I make regular research visits to Denmark.

My research is in fluid dynamics, wave theory, acoustics and vibration, and asymptotic methods. In particular, my work on thermal convection in geophysical fluid dynamics led to a nonlinear equation sometimes called the Chapman-Proctor equation. I have worked on aeroacoustics, especially the noise produced by rapidly rotating fans in aircraft engines; for this purpose I invented a technique called time-domain asymptotics, which has been developed further by other research-workers. My current research is mostly on fluid-structure interaction in conditions of heavy fluid loading. The single most important technique in my research work is the approximate solution of coupled systems of partial differential equations. For further information, see my personal web page. I am a member of the Research Institute for the Environment, Physical Sciences, and Applied Mathematics (EPSAM).

Selected Publications

  • Chapman CJ. 2013. An asymptotic decoupling method for waves in layered media. PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, vol. 469(2153), Article ARTN 20120659. link> doi>
  • Chapman CJ. 2012. The asymptotic theory of dispertion relations containing Bessel functions of imaginary order. Proceedings of the Royal Society of London: Mathematical, Physical and Engineering Sciences, vol. 468, 4008-4023. doi>
  • Sorokin SV and Chapman CJ. 2011. A hierarchy of rational Timoshenko dispersion relations. JOURNAL OF SOUND AND VIBRATION, vol. 330(22), 5460-5473. link> doi>
  • Chapman CJ and Sorokin SV. 2010. The finite-product method in the theory of waves and stability. PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, vol. 466(2114), 471-491. link> doi>
  • Kaouri K, Allwright DJ, Chapman CJ, Ockendon JR. 2008. Singularities of wavefields and sonic boom. WAVE MOTION, vol. 45(3), 217-237. doi>

Full Publications List show

Books

  • Chapman CJ. 2000. High Speed Flow. Cambridge University Press.

Journal Articles

  • Chapman CJ and Sorokin SV. A class of reduced-order models in the theory of waves and stability. PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, vol. 472(2186), Article ARTN 20150703. link> doi> link>
  • Sorokin SV and Chapman CJ. 2014. A hierarchy of high-order theories for symmetric modes in an elastic layer. JOURNAL OF SOUND AND VIBRATION, vol. 333(15), 3505-3521. link> doi>
  • Chapman CJ. 2013. An asymptotic decoupling method for waves in layered media. PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, vol. 469(2153), Article ARTN 20120659. link> doi>
  • Chapman CJ. 2012. The asymptotic theory of dispertion relations containing Bessel functions of imaginary order. Proceedings of the Royal Society of London: Mathematical, Physical and Engineering Sciences, vol. 468, 4008-4023. doi>
  • Sorokin SV and Chapman CJ. 2011. A hierarchy of rational Timoshenko dispersion relations. JOURNAL OF SOUND AND VIBRATION, vol. 330(22), 5460-5473. link> doi>
  • Chapman CJ and Sorokin SV. 2010. The finite-product method in the theory of waves and stability. PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, vol. 466(2114), 471-491. link> doi>
  • Kaouri K, Allwright DJ, Chapman CJ, Ockendon JR. 2008. Singularities of wavefields and sonic boom. WAVE MOTION, vol. 45(3), 217-237. doi>
  • CHAPMAN CJ. 2007. Sesquipoles in aeroacoustics. Journal of Sound and Vibration, vol. Volume 300 Issues 3-5, 1015-1033. doi>
  • Sorokin SV and Chapman CJ. 2005. Asymptotic analysis of nonlinear vibration of an elastic plate under heavy fluid loading. JOURNAL OF SOUND AND VIBRATION, vol. 284(3-5), 1131-1144. link> doi>
  • CHAPMAN CJ and Sorokin SV. 2005. The forced vibration of an elastic plate under significant fluid loading. J Sound and Vibration, vol. 281, 719-741. doi>
  • Chapman CJ. 2004. Some benchmark problems for computational aeroacoustics. JOURNAL OF SOUND AND VIBRATION, vol. 270(3), 495-508. link> doi>
  • CHAPMAN CJ. 2003. High-speed leading-edge noise. Proc. Roy. Soc. Lond. A, vol. 459, 2131-2151. doi>
  • CHAPMAN CJ. 2001. Energy paths in edge waves. J Fluid Mech, vol. 426, 135-154. doi>
  • Chapman CJ. 2000. Similarity variables for sound radiation in a uniform flow. JOURNAL OF SOUND AND VIBRATION, vol. 233(1), 157-164. link> doi>
  • Chapman CJ. 1999. Caustics in cylindrical ducts. PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, vol. 455(1987), 2529-2548. link> doi>
  • Chapman CJ. 1996. Sound radiation from a cylindrical duct .2. Source modelling, nil-shielding directions, and the open-to-ducted transfer function. JOURNAL OF FLUID MECHANICS, vol. 313, 367-380. link> doi>
  • CHAPMAN CJ. 1994. SOUND RADIATION FROM A CYLINDRICAL DUCT .1. RAY STRUCTURE OF THE DUCT MODES AND OF THE EXTERNAL-FIELD. JOURNAL OF FLUID MECHANICS, vol. 281, 293-311. link> doi>
  • CHAPMAN CJ. 1993. THE STRUCTURE OF ROTATING SOUND FIELDS. PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, vol. 440(1909), 257-271. link> doi>
  • CHAPMAN CJ. 1992. TIME-DOMAIN ASYMPTOTICS AND THE METHOD OF STATIONARY PHASE. PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, vol. 437(1899), 25-40. link> doi>
  • CHAPMAN CJ. 1992. THE ASYMPTOTIC THEORY OF RAPIDLY ROTATING SOUND FIELDS. PROCEEDINGS OF THE ROYAL SOCIETY-MATHEMATICAL AND PHYSICAL SCIENCES, vol. 436(1898), 511-526. link> doi>
  • CHAPMAN CJ. 1990. THE SPIRAL GREEN-FUNCTION IN ACOUSTICS AND ELECTROMAGNETISM. PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, vol. 431(1881), 157-167. link> doi>
  • CHAPMAN CJ and GLENDINNING AG. 1990. A THEORETICAL-ANALYSIS OF A COMPRESSED-AIR LOUDSPEAKER. JOURNAL OF SOUND AND VIBRATION, vol. 138(3), 493-499. link> doi>
  • CHAPMAN CJ. 1988. THE RAY THEORY OF SUPERSONIC PROPELLER ACOUSTICS. JOURNAL OF SOUND AND VIBRATION, vol. 127(1), 145-153. link> doi>
  • CHAPMAN CJ. 1988. SHOCKS AND SINGULARITIES IN THE PRESSURE FIELD OF A SUPERSONICALLY ROTATING PROPELLER. JOURNAL OF FLUID MECHANICS, vol. 192, 1-16. link> doi>
  • CHAPMAN CJ, CHILDRESS S, PROCTOR MRE. 1980. LONG WAVELENGTH THERMAL-CONVECTION BETWEEN NON-CONDUCTING BOUNDARIES. EARTH AND PLANETARY SCIENCE LETTERS, vol. 51(2), 362-369. link> doi>
  • CHAPMAN CJ and PROCTOR MRE. 1980. NON-LINEAR RAYLEIGH-BENARD CONVECTION BETWEEN POORLY CONDUCTING BOUNDARIES. JOURNAL OF FLUID MECHANICS, vol. 101(DEC), 759-782. link> doi>

Chapters

  • Chapman CJ. 2005. Monopoles, dipoles, and quadrupoles. In Lecture notes on the mathematics of acoustics. Wright MCM (Ed.). Imperial College Press.
  • Chapman CJ. 2002. The wavenumber surface in blade-vortex interaction. (vol. 68). link>

MAT-20005: Dynamics
MAT-30004: Fluid Mechanics 

Deputy Academic Conduct Officer