Plane turbulent buoyant jets. Part 1. Integral properties

An integral technique suggested for the analysis of turbulent jets by Corrsin & Uberoi (1950) and Morton, Taylor & Turner (1956) is re-examined in an attempt to improve the description of the entrainment. It is determined that the hypothesis of Priestley & Ball (1955), that the entrainment coefficient is a linear function of the jet Richardson number, is reasonable, and that two empirically determined plume parameters are sufficient to describe the transition of buoyant jets to plumes. The results of a series of experiments in which both time-averaged velocity and time-averaged temperature profiles were recorded in a substantial number of plane turbulent buoyant jets of varying initial Richardson numbers are used to verify the basic ideas. In addition, measurements of the mean tracer flux in a series of buoyant jets indicate that as much as 40% of the transport in plumes is by the turbulent flux

Two-part valve acts as quick coupling

A two-part valve simplifies the problem of filling large tanks from smaller ones. One part acts as a check valve and remains integral to the recipient system, while the other part is integral to the donor system

Translational research as an integral part of work–based learning

Shelagh Keogh, Northumbria University, UK This paper explores the concept of translational research as an appropriate strategy for work based learning. Translational research as the name suggests it is about the translation of research findings into practice. Practice and practice development are integral to the learning in the work place and translational research is therefore an excellent mechanism for work based learning. Medicine is its main exponent but it is becoming increasingly commoner in other areas. Traditionally translational research refers to the translating of laboratory based findings to clinical practice as such is a highly prescriptive and regulated approach. More recently, Public Health has explored ways of translating findings of epidemiological studies into clinical practice and education has also explored strategies which can be used in the translation of research into both curriculum design and classroom practice. Although clearly it is applicable to a range of practices and disciplines There are two main issues which need to be considered in translational research, the nature of knowledge and the roles involved in the translation of research findings into practice: The knowledge valued in different disciplinary areas can differ for example in medicine and the health professions application of research is highly regulated and controlled, novel and innovative ideas go through a rigorous testing process. Whereas in many business settings and in the creative industries novel and innovative ideas are the starting point. Having determined the knowledge which is valued the tensions which are inherent in the work place need to be explored. Traditional ways of doing things can be challenged and this can draw on skills The roles played are important and central to the translation. In work based learning much will depend on the programme and the stage involved, for instance in doctoral programme the students may take the lead whereas in undergraduate programmes the student will be part of a highly supervised and supported team It is an approach which if planned and correctly executed develops practice and it can be a very powerful tool for learning to demonstrate this the paper will conclude with a case study of a translational research project. Involved the translation of research study into practice in a care environment. The stages involved will be discussed and outlined in some detail. The benefits and drawbacks of the approach, as a learning tool will also be outlined and considere

On the Forelli-Rudin projection theorem

Motivated by the Forelli--Rudin projection theorem we give in this paper a criterion for boundedness of an integral operator on weighted Lebesgue spaces in the interval $(0,1)$. We also calculate the precise norm of this integral operator. This is the content of the first part of the paper. In the second part, as applications, we give some results concerning the Bergman projection and the Berezin transform. We derive a generalization of the Dostani\'{c} result on the norm of the Berezin transform acting on Lebesgue spaces over the unit ball in $\mathbf{C}^n$.Comment: to appear in Integral Equations and Operator Theor

Glimpse on the relationship between Feynman integral and integrable system

We briefly review recent attempts to relate the concept of Feynman integral and integrable systems. This constitutes an endeavour on our part in making the Feynman path integral into a mathematically meaningful entity