Journal of Engineering Mathematics
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Preventing buoyancy-driven flows of two Bingham fluids in a closed pipe – Fluid rheology design for oilfield plug cementing
Journal of Engineering Mathematics - Tập 36 - Trang 327-348 - 1999
The mechanically unstable situation of a heavy Bingham fluid resting on top of a light Bingham fluid in an inclined closed-ended pipe can be stabilised if the fluids have sufficiently large yield stresses. This paper focuses on determining the yield stresses that are sufficient to keep the fluids statically stable for a given fluid density difference, pipe diameter and pipe inclination. The result......
Rayleigh–Taylor instability of classical diffusive density profiles for miscible fluids in porous media: a linear stability analysis
Journal of Engineering Mathematics - Tập 132 - Trang 1-18 - 2021
A Rayleigh–Taylor instability typically develops when a denser layer overlies a less dense one in the gravity field. In that case, the initial base state density profile is a step function for which linear stability analysis results are well known. We investigate here analytically the linear stability analysis of other classical diffusive density profiles for porous media flows. We find that, for ......
Oscillatory magnetogasdynamic slip flow in a microchannel
Journal of Engineering Mathematics - Tập 84 - Trang 135-146 - 2013
The problem of pressure-driven magnetogasdynamic (MGD) slip flow with small rarefaction through a long microchannel is considered. The flow is driven by a steady or oscillatory pressure gradient. The study of MGD flows in microchannels is of interest since they occur in many electromagnetic microscale devices. In obtaining the microfluidic solutions in the presence of a magnetic field, some additi......
Relevance of symmetry methods in mechanics of materials
Journal of Engineering Mathematics - Tập 66 - Trang 103-119 - 2009
The interest and relevance of symmetry methods as a predictive and systematic methodology in the continuum mechanics of materials is analyzed, relying on a classification of the inherent aspects in terms of the direct, extended direct, and inverse methods. Although being interrelated, these three problems each have a specific argumentation which is separately exposed in the present contribution. T......
Interplay of quantum size effect, anisotropy and surface stress shapes the instability of thin metal films
Journal of Engineering Mathematics - Tập 104 - Trang 77-92 - 2016
Morphological instability of a planar surface ([111], [011], or [001]) of an ultra-thin metal film is studied in a parameter space formed by three major effects (the quantum size effect, the surface energy anisotropy and the surface stress) that influence a film dewetting. The analysis is based on the extended Mullins equation, where the effects are cast as functions of the film thickness. The for......
Mathematical modelling of the cardiovascular system
Journal of Engineering Mathematics - - 2003
This paper is an introduction to the special issue of the Journal of Engineering Mathematic (Volume 47/3–4, 2003) on the mathematical modelling of the cardiovascular system. This issue includes the 2003 James Lighthill Memorial Paper written by Pedley [1] on the mathematical modelling of arterial fluid dynamics. This introduction is written to bring cardiovascular biomechanics to readers with a ba......
Definitely not a circle: on the variability of the zone of influence in porous media flows
Journal of Engineering Mathematics - Tập 142 - Trang 1-21 - 2023
When fluid motion is induced through a porous medium, the distance travelled depends on the energy exerted and overall resistance to flow. Ostensibly intuitive, this concept of reach has proven elusive not only in delineation, but even mathematical definition. In wells surrounded by a homogeneous medium it is a circle and thus characterised by a single number referred to as the radius of influence......
Diffusion-limited evaporation of thin polar liquid films
Journal of Engineering Mathematics - Tập 50 - Trang 209-222 - 2004
The stability of evaporating very thin films of a polar liquid is investigated. The microscopic interaction with the substrate and capillarity are taken into account in a lubrication equation. The stability of a flat interface is studied when evaporation is limited by the diffusion of the vapour in the gas phase. The evaporation rate is computed and evaporation is shown to be stabilizing. A stabil......
An algorithm for the complete symmetry classification of differential equations based on Wu’s method
Journal of Engineering Mathematics - Tập 66 - Trang 181-199 - 2009
In this paper, an alternative algorithm which uses Wu’s method (differential characteristic set algorithm) for the complete symmetry classification of (partial) differential equations containing arbitrary parameter is proposed. The classification is determined by decomposing the solution set of determining equations into a union of a series of zero sets of differential characteristic sets of the c......
Matrix properties of data from electrical capacitance tomography
Journal of Engineering Mathematics - Tập 51 Số 2 - Trang 127-146 - 2005
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