Problems in Applied, Industrial and Engineering Mathematics

This book contains contributions by sixteen editors of a single journal specialised in real-world applications of mathematics, particularly in engineering. These papers serve to indicate that applying mathematics can be a very exciting and intellectually rewarding activity. Among the applied fields we note Thermal and Marangoni convection. High-pressure gas-discharge lamps, Potential flow in a channel, Thin airfoil problems, Cooling of a fibre, Moving-contact-line problems, Spot disturbance in boundary layers, Fibre-reinforced composites, Numerics of nonuniform grids, Stewartson layers on a rotating disk, Causality and the radiation condition, Nonlinear elastic membranes, Acoustics in bubbly liquids, Oscillation of a floating body in a viscous fluid, Electromagnetics of superconducting composites. Applied mathematicians, theoretical physicists and engineers will find a lot in this book that will be of interest to them.

Contenu
Three-dimensional convection in an inclined layer heated from below.- Marangoni convection in V-shaped containers.- Structure of the temperature profile within a high-pressure gas-discharge lamp operating near maximum radiation efficiency.- The Green function for potential flow in a rectangular channel.- A note on the Kutta condition in Glauert's solution of the thin aerofoil problem.- Free convection from a vertical cooling fibre.- Effective slip in numerical calculations of moving-contact-line problems.- Initial-value problems for spot disturbances in incompressible or compressible boundary layers.- Plasticity theory for fibre-reinforced composites.- Playing with nonuniform grids.- The Stewartson layer of a rotating disk of finite radius.- Causality and the radiation condition.- Recent mathematical results in the nonlinear theory of flat and curved elastic membranes of revolution.- The emission of sound by statistically homogeneous bubble layers.- Oscillation of a floating body in a viscous fluid.- Electromagnetic response of composite superconducting wires.