A Note on Flame-Length

A Note on Convergence in Length

1. Introduction. Let J be a closed linear interval ao^tSfo. Let r(/) = (#(/), y(t) } z(t)), tSI, represent a vector function whose three components x(t), y(i) t z(t) are of bounded variation and continuous on I. This vector function determines in Euclidean 3-space a curve x~x{t), y~y(t), z=*z(t) whose length we denote by LQç). By convergence in length of a sequence of such vector functions $ n ...

On the flame length in firewhirls with strong vorticity

The influence of strong rotation on the flame length in firewhirls (normalized by the fuel supply rate) is investigated analytically. A new prediction for the length of the flame in firewhirls with strong rotation is obtained by introducing the compensating regime of vortical flows. The prediction is in a good agreement with experimental results.

Flame length measurements of the turbulent plume

A steady source of buoyancy creates a plume. Experi­ mental and theoretical studies of plumes have been mainly concerned with the far-field (self-similar) velocity and den­ sity profiles. •-3 Yet in many practical situations, knowledge regarding the rate of molecular scale mixing of the buoyant fluid with its environment is needed. This is especially true in the context of atmospheric studies, ...

A Note on Scheduling Equal-Length Jobs to Maximize Throughput

We study the problem of scheduling equal-length jobs with release times and deadlines, where the objective is to maximize the number of completed jobs. Preemptions are not allowed. In Graham’s notation, the problem is described as 1|rj ; pj = p| ∑ Uj. We give the following results: (1) We show that the often cited algorithm by Carlier from 1981 is not correct. (2) We give an algorithm for this ...

A Note on the Length Effect of Futures Hedging