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  • Articles  (8)
  • Journal of Fluid Mechanics. 1973; 60(3): 605. Published 1973 Sep 01. doi: 10.1017/s0022112073000376.  (1)
  • Journal of Fluid Mechanics. 1975; 69(1): 97-108. Published 1975 May 13. doi: 10.1017/s0022112075001334.  (1)
  • Journal of Fluid Mechanics. 1984; 143: 23-46. Published 1984 Jun 01. doi: 10.1017/s0022112084001245.  (1)
  • Journal of Fluid Mechanics. 1987; 183: 175-183. Published 1987 Oct 01. doi: 10.1017/s0022112087002581.  (1)
  • Journal of Fluid Mechanics. 1990; 214(-1): 161. Published 1990 May 01. doi: 10.1017/s002211209000009x.  (1)
  • Journal of Fluid Mechanics. 1990; 219(-1): 291. Published 1990 Oct 01. doi: 10.1017/s0022112090002956.  (1)
  • Journal of Fluid Mechanics. 1991; 229(-1): 135. Published 1991 Aug 01. doi: 10.1017/s0022112091002975.  (1)
  • Journal of Fluid Mechanics. 1999; 386: 373-377. Published 1999 May 10. doi: 10.1017/s0022112099004632.  (1)
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  • Articles  (8)
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  • 1
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    The far field of an oscillating airfoil in supersonic flow (1987)
    Cambridge University Press
    Details
    Publication Date: 1987-10-01
    Description: An approach utilizing multiple scales and matched asymptotic expansions is developed for the description of small perturbations at large distances from a thin airfoil oscillating harmonically in a uniform supersonic flow. The problem of determining the unsteady perturbation potential is formulated in general, and an analytical solution is derived for an airfoil with parabolic or flat surfaces. The results describe the flow ahead of the region influenced by the trailing edge. The variation in the pressure jump across an attached leading-edge shock wave is also obtained. © 1987, Cambridge University Press. All rights reserved.
    Print ISSN: 0022-1120
    Electronic ISSN: 1469-7645
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics , Physics
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  • 2
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    A note on nearly two-dimensional weakly nonlinear instability of an incompressible free shear layer (1999)
    Cambridge University Press
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    Publication Date: 1999-05-10
    Description: The weakly nonlinear amplitude growth of slightly oblique instability waves in an incompressible free shear layer is shown to be first influenced by three-dimensionality in a limning case for large Reynolds number when a particular order relationship is chosen between the spanwise scale and the amplitude of the small disturbance. The formulation resembles that for purely two-dimensional motion but includes the effect of vortex stretching in the nonequilibnum, nonlinear, viscous critical layer.
    Print ISSN: 0022-1120
    Electronic ISSN: 1469-7645
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics , Physics
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  • 3
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    Hypersonic viscous interaction with strong blowing (1990)
    Cambridge University Press
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    Publication Date: 1990-10-01
    Description: Solutions are obtained for hypersonic viscous interaction along a flat plate in the presence of strong boundary-layer blowing, with inverse-square-root injection velocity, for laminar flow over a cold wall and with a power-law viscosity-temperature relation. In the strong-interaction region, self-similarity is preserved if the blowing is such that the thicknesses of the inviscid shock layer, viscous shear layer, and inviscid blown layer all have the same order of magnitude. The weak-interaction region is also considered, and an approximate interpolation is used to join the solutions for the surface pressure. Certain difficulties in asymptotic matching are discussed, and the extension to flow past a thin wedge is shown. © 1990, Cambridge University Press. All rights reserved.
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    Electronic ISSN: 1469-7645
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics , Physics
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  • 4
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    An analysis of the initial-value wavemaker problem (1990)
    Cambridge University Press
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    Publication Date: 1990-05-01
    Description: A Fourier-integral method is developed to obtain transient solutions to potential wavemaker problems. This method yields solutions for wavemaker velocities which need not be given as powers of time. The results are compared with known small-time and local solutions. Examples considered include ramp, step, and harmonic wavemaker velocities. As time becomes large, the behaviour near the wave front is derived for the impulsive wavemaker, and for the harmonic wavemaker it is shown that the steady-state solution is recovered. The solution for a wavemaker velocity given as a Fourier cosine series compares favourably with available experimental results. Capillary effects are included and nonlinear effects are discussed. © 1990, Cambridge University Press. All rights reserved.
    Print ISSN: 0022-1120
    Electronic ISSN: 1469-7645
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics , Physics
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  • 5
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    Base pressure in laminar supersonic flow (1973)
    Cambridge University Press
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    Publication Date: 1973-09-01
    Description: An asymptotic description is proposed for supersonic laminar flow over a wedge or a backward-facing step, for large Reynolds number and for a base or step height which is small compared with the boundary-layer length. The analysis is carried out for adiabatic wall conditions and a viscosity coefficient proportional to temperature. In a particular limit corresponding to a very thick boundary layer, a similarity law is obtained for the base pressure [formula omitted]. For a thinner boundary layer an asymptotic form for [formula omitted] is obtained which shows the dependence on the parameters explicitly and which permits good agreement with experiment. This latter result is based on an inviscid-flow approximation for the corner expansion and for reattachment, with viscous forces important primarily in a thin sublayer about the dividing streamline. A prediction of the pressure distribution at reattachment is given and the result is compared with experimental pressure distributions. © 1973, Cambridge University Press. All rights reserved.
    Print ISSN: 0022-1120
    Electronic ISSN: 1469-7645
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics , Physics
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  • 6
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    Turbulent boundary-layer interaction with a shock wave at a compression corner (1984)
    Cambridge University Press
    Details
    Publication Date: 1984-06-01
    Description: The local interaction of an oblique shock wave with an unseparated turbulent boundary layer at a shallow two dimensional compression corner is described by asymptotic expansions for small values of the non dimensional friction velocity and the flow turning angle. It is assumed that the velocity defect law and the law of the wall, adapted for compressible flow, provide an asymptotic representation of the mean velocity profile in the undisturbed boundary layer. Analytical solutions for the local mean velocity and pressure distributions are derived in supersonic, hypersonic and transonic small disturbance limits, with additional intermediate limits required at distances from the corner that are small in comparison with the boundary layer thickness. The solutions describe small perturbations in an inviscid rotational flow, and show good agreement with available experimental data in most cases where effects of separation can be neglected. Calculation of the wall shear stress requires solution of the boundary layer momentum equation in a sublayer which plays the role of a new thinner boundary layer but which is still much thicker than the wall layer. An analytical solution is derived with a mixing length approximation, and is in qualitative agreement with one set of measured values. © 1984, Cambridge University Press. All rights reserved.
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    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics , Physics
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  • 7
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    On the flow near a weak shock wave downstream of a nozzle throat (1975)
    Cambridge University Press
    Details
    Publication Date: 1975-05-13
    Description: In a transonic nozzle flow in which the velocity is slightly supersonic in some neighbourhood of the nozzle throat, a shock wave may be present either very close to the throat or else somewhat further downstream. In the latter case, relatively simple series solutions in general provide an asymptotic description of the fluid motion except very close to the shock wave. These outer solutions are reviewed for symmetric two-dimensional flow, and it is shown that the shock-wave jump conditions are not satisfied. A correction is then derived in the form of an inner solution for a small region immediately behind the shock. The resulting solution exhibits the singularities in the pressure gradient, streamline curvature and shock-wave curvature which are expected to occur at the intersection of a normal shock wave and a curved wall. An extension to axisymmetric flow is also given. © 1975, Cambridge University Press. All rights reserved.
    Print ISSN: 0022-1120
    Electronic ISSN: 1469-7645
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics , Physics
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  • 8
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    Evolution of weakly nonlinear water waves in the presence of viscosity and surfactant (1991)
    Cambridge University Press
    Details
    Publication Date: 1991-08-01
    Description: A formal derivation of evolution equations is given for viscous gravity waves and viscous capillary—gravity waves with surfactants in water of infinite depth. Multiple scales are used to describe the slow modulation of a wave packet, and matched asymptotic expansions are introduced to represent the viscous boundary layer at the free surface. The resulting dissipative nonlinear Schrödinger equations show that the largest terms in the damping coefficients are unaltered from previous linear results up to third order in the amplitude expansions. The modulational instability of infinite wavetrains of small but finite amplitude is studied numerically. The results show the effect of viscosity and surfactants on the Benjamin-Feir instability and subsequent nonlinear evolution. In an inviscid limit for capillary-gravity waves, a small-amplitude recurrence is observed that is not directly related to the Benjamin—Feir instability. © 1991, Cambridge University Press. All rights reserved.
    Print ISSN: 0022-1120
    Electronic ISSN: 1469-7645
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics , Physics
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