Prof. R. K. Morton

Plumes , entrainment and B . R . Morton

Bruce Morton’s early research career was centred on the dynamics of plumes, which is the focus of most of this article. As described below, the process of entrainment plays an important role in plume dynamics, at least in the mathematical models he studied. And in his teachings he made a point of emphasising the importance of vorticity in understanding fluid flow. ‘Vorticity is the flow field’,...

Prof. Dr. Prof. Prof.

Contributions of Prof . James R . Melcher to engineering education

This paper reviews the teaching and research career of the late Professor James R. Melcher. It describes his approach to the teaching of electric and magnetic fields bolstered by the lecture demonstrations he had developed. He is considered the founder of the modern day field of electrohydrodynamics. His undergraduate courses, reinforced by educational films which are briefly described, gave st...

Scales in K(R)

In this paper, we shall extend the fine-structural analysis of scales in L(R) ([7]) and L(μ,R) ([1]) to models of the form L( ~ E,R), constructed over the reals from a coherent sequence ~ E of extenders. We shall show that in the natural hierarchy in an iterable model of the form L( ~ E,R) satisfying AD , the appearance of scales on sets of reals not previously admitting a scale is tied to the ...

K-convexity in R

We generalize the concept of K-convexity to an n-dimensional Euclidean space. The resulting concept of K-convexity is useful in addressing production and inventory problems where there are individual product setup costs and/or joint setup costs. We derive some basic properties of K-convex functions. We use the concept to derive the optimal policy in a deterministic case of two products with a j...