Journal of Engineering Mathematics
Công bố khoa học tiêu biểu
* Dữ liệu chỉ mang tính chất tham khảo
Sắp xếp:
Surface-tension-driven flow on a moving curved surface
Journal of Engineering Mathematics - Tập 45 - Trang 283-308 - 2003
The leading-order equations governing the flow of a thin viscous film over a moving curved substrate are derived using lubrication theory. Three possible distinguished limits are identified. In the first, the substrate is nearly flat and its curvature enters the lubrication equation for the film thickness as a body force. In the second, the substrate curvature is constant but an order of magnitude......
Convergence and computational cost analysis of a boundary integral method applied to a rigid body moving in a viscous fluid in close proximity to a fixed boundary
Journal of Engineering Mathematics - - 2021
The Boundary Integral Method (BIM) applied to the unsteady Stokes and continuity equations is a standard method used to simulate problems of bodies oscillating in fluids. Despite the technique providing accurate numerical results, current implementations are computationally expensive. In this work, we focus on the flow around an infinitely thin beam oscillating near a solid surface and we show tha......
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 ......
Effect of internal heat source on stability analysis of a highly permeable vertical porous channel filled with nanofluid
Journal of Engineering Mathematics - Tập 140 Số 1 - 2023
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......
Tổng số: 1,947
- 1
- 2
- 3
- 4
- 5
- 6
- 10