Prof A J Mestel

  • Room No : 746, Huxley building
  • Telephone No. : +44-207-594-8513 (FAX -8517)
  • E-Mail Address : j.mestel AT ic.ac.uk

    Note: ALL correspondence for the Director of Undergraduate Studies should use the address david.evans AT ic.ac.uk

    ← Before becoming D.U.G. and a year after becoming DUG →

Skip to course material or recent publications or THE MATHS GRADUATE SONG or M1M1 TREASURE HUNT

Research Interests :

Some Recent Publications :

  • 2021 Bistability and hysteresis of axisymmetric thermal convection between differentially rotating spheres (with P. Mannix) J. Fluid Mech.
  • 2021 Dynamo action between two rotating discs (with A. Arslan) Geophys. & Astrophys. Fluid Dyn.
  • 2021 Steady streaming as a method for drug delivery to the inner ear (with L. Sumner & T. Reichenbach) Scientific Reports 11.
  • 2019 Weakly nonlinear mode interactions in spherical Rayleigh-Benard convection (with P. Mannix) J. Fluid Mech. 874, 359-390.
  • 2019 Some similarity solutions for three-dimensional boundary layers (with R. Vaz) Proc. Roy. Soc. Lond. A 475
  • 2018 'Unforced' Navier-Stokes solutions derived from convection in a curved channel (With R. Vaz & F. Boshier) J. Fluid Mech. 848, 676-695.
  • 2018 Dynamos in an annulus with fields linear in the axial coordinate (With R. Vaz & F. Boshier) Geophys. & Astrophys. Fluid Dyn. 112, 222-234.
  • 2017 Fuse breakdown and the rupture of thing, current-carrying fluid cylinders. (With R.M. Lock, W. Ristenpart and H.A. Stone)
  • 2016 (With F. Boshier) Complex solutions of the Dean equations and non-uniqueness at all Reynolds numbers. (with F.A. Boshier), J. Fluid Mech. 818, 241-259.
  • 2019 Trapped modes of the Helmholtz equation in infinite waveguides with wall indentations and circular obstacles (with C. Sargent, IMA J. Appl Maths 84 312-344.
  • 2014 Extended series solutions and bifurcations of the Dean Equations (with F.A. Boshier), J. Fluid Mech. 739 179-195.
  • 2013 Low-Reynolds-number flow through two-dimensional shunts. (With A. Setchi, K. Parker & J. Siggers) J. Fluid Mech.
  • 2012 Quasi-global galactic magnetorotational instability with Braginskii viscosity (with M. Rosin) Mon. Not. Roy. Astro. Soc., 425, 74-86.
  • 2012 Flow in the ductus Arteriosus (With A. Setchi, K. Parker & J. Siggers) J. Biomech. Eng.
  • 2012 Laminar instability of pressure-driven dynamos in multiple helical pipes Geophys. & Astrophys. Fluid Dyn.
  • 2010 Instabilities of a Braginskii Fluid. (With S.C. Cowley and A. Schekochihin)
  • (with R.M. Lock)
    (1) 2008 On annular self-similar solutions in resistive magnetogasdynamics. Proc Roy Soc. Lond. A 464.
    (2) 2008 Annular self-similar solutions in ideal magnetogasdynamics. J. Plasma Phys. 74.
  • (with L. Zabielski)
    (-1) 2010 Anisotropic allometric analysis of helical aortic flow.
    (1) 2007 A double helix laminar dynamo. J. Fluid Mech. 573, p237-246.     Animation
    (2) 2006 Nonlinear dynamos in laminar, helical pipe flow. Physics of Fluids 18 Animation
    (3) 2005 Kinematic dynamo action in a helical pipe. J. Fluid Mech. 535, p347-367.
    (4) 2001 Separation regions in two-dimensional high-Reynolds-number flow. Proc R. Soc. Lond. A 457, p599 -622.
    (5) 2000 Helical flow around arterial bends for varying body mass. J. Biomechanical Engineering 122, p 135-142. Animation
    (6) 1998 Unsteady blood flow in a helically symmetric pipe. J. Fluid Mech. 370, p321-345.
    (7) Steady flow in a helically symmetric pipe. J. Fluid Mech. 370, p297-320.
  • (with N. Dubash)
    (1) 2007 Behaviour of a conducting drop in a highly viscous fluid subject to an electric field. J. Fluid Mech. 581, p469-493.
    (2) 2007 Breakup brehaviour of a conducting viscous drop suspended in a viscous fluid subject to an electric field. Physics of Fluids 19, 072101.
    (3) 2007 Behaviour near critical for a conducting drop in an electric field Physics of Fluids 19, 073104.
  • 2004 S.P. Goodwin, A.J. Mestel, L. Mestel and G. Wright The relativistic force-free equation. Mon. Not. Roy. Astro. Soc. 349 213-224.
  • 2002 Maximal accelerations for charged drops in electric fields Physics of Fluids 14, p1396-1402.
  • (with M. G. Blyth)
    (1) 2003 The influence of geometry on inviscid decay rates in haemodynamic flows. J. Fluid Mech. 462, p185-207.
    (2) 2001 Merging flows in coaxial pipes. Q.J.Mech. Appl.Math. 54, p1-19.
    (3) 1999 Steady flow in a dividing pipe. J. Fluid Mech. 401, p339-264.
  • 1999 (with A. Mokady & C.P. Winlove)
    Flow through a charged biopolymer layer. J. Fluid Mech. 383, p353-378.
  • 1996 Electrohydrodynamic stability of a highly viscous jet.
    J. Fluid Mech. 312, p311-326.
    (See also 1994 Electrohydrodynamic stability of a slightly viscous jet.
    J. Fluid Mech. 274, p93-113.)

    • Teaching: links to specific courses:

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