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Although most physical problems in fluid mechanics and heat transfer are governed by nonlinear differential equations, it is less common to be confronted with a “so – called” implicit differential equation, i.e. a differential equation where the highest order derivative cannot be isolated. The purpose of this paper is to derive and analyze an implicit differential equation that arises from a simple model for radiation dominated heat transfer based upon an unsteady lumped capacitance approach.

Here we discuss an implicit differential equation that arises from a simple model for radiation dominated heat transfer based upon an unsteady lumped capacitance approach. Due to the implicit nature of this problem, standard integration schemes, e.g. Runge‐Kutta, are not conveniently applied to this problem. Moreover, numerical solutions do not provide the insight afforded by an analytical solution.

A predictor predictor‐corrector scheme with secant iteration is presented which readily integrates differential equations where the derivative cannot be explicitly obtained. These solutions are compared to numerical integration of the equations and show good agreement.

The paper emphasizes that although large‐scale, multi‐dimensional time‐dependent heat transfer simulation tools are routinely available, there are instances where unsteady, engineering models such as the one discussed here are both adequate and appropriate.

This conceptual article presents a theoretical approach to understanding the atmosphere at sports stadiums. Using the environmental psychology behavioural model proposed by Mehrabian & Russell (1974), and taking into account recent findings in consumer research, we develop a comprehensive framework for investigating this atmosphere. The framework highlights the role of emotions elicited by different stimuli in sports stadiums. We also suggest a number of direct and indirect influences on behavioural outcomes, caused by the emotional reactions and personal predispositions of spectators - influences that are of economic relevance. The proposed framework also forms a starting point for future empirical studies.

Drug Treatment Courts (DTCs) offer a form of alternative sentencing for people who have been convicted of a crime related to drug or alcohol abuse. The work of rehabilitation in DTCs is client-centered, meaning that it takes into account all of the client’s needs that affect their life in regards to completion of the program and rehabilitation. DTCs employ teams of people made up of judges, lawyers, educators, clinicians, and community supervisors. There are specific ways that librarians might become involved with DTCs regarding both literacy and, more specifically, health literacy. Existing programs could be adapted to solve common health literacy problems of participants, and librarians could also forge relationships with DTCs. Training for librarians should include education about the health and literacy problems faced by this population so they can successfully connect DTC participants with people and information that will contribute to their success completing the program and building healthier lives. This chapter looks to established best practices within DTCs and to some current related programs within public libraries to find grounds for expanding services to this population.

Purpose – This chapter explores the topic of free speech protections and social media use in academia through an examination of the current legal landscape as it applies to various stakeholders on university campuses in the United States. The authors focus this examination primarily on public universities. Methodology/Approach – Legal research methods were utilized, including an analysis of relevant United States federal and state laws, case law, and secondary sources such as law reviews. Non-legal sources, such as academic journals, were also reviewed, with particular emphasis on topics such as university policies, tenure protections, academic freedom, as well as current events. Findings – The law regarding personal social media communications in a university setting is a series of complex and interconnected legal questions. Courts are still flushing out how free speech protections, personal social media use, and other relevant legal protections (e.g., employment law) may interface in a university-related case. Outcomes of cases are highly fact driven, and legal precedent is still being established. Originality/Value – This chapter offers a comprehensive examination of the topic of free speech and social media use in United States academia by (1) examining legal protections as applied to various stakeholders on a college campus and (2) analyzing the current legal landscape of social media cases involving universities.

From what was said in the previous article on this subject, it is obvious that a new profession has arisen in consequence of the passing of the Food and Drugs Acts, and of the fact that their execution is now compulsory on all the local authorities legally concerned with the matter. This profession, under the fostering influence of certain scientific and academic bodies, now includes a considerable number of individuals who, in their general culture and education, as well as in their special scientific qualifications, are at least on a par with the members of the older so‐called “learned” professions. In the course of the early development of the analytical profession, as a body, the old Society of Public Analysts was a most potent influence for good, and did, and still does under another but unfortunate name, very excellent work in collecting and publishing any additions that are made to our scientific knowledge of matters connected with the analysis and adulteration of food by the scattered workers in this country and abroad.

The Society of the White Cross of Geneva appears to have been founded with the object of organising on an international basis the attempts that are being made at the present time in civilised countries to bring under control, and if possible to stamp out, certain abuses, frauds, and other injurious factors more or less existent in modern civilised life. Among the subjects to be dealt with are mentioned “les empoisonnements alimentaires,” and adulteration generally, and the principal part of the business of the International Congress which met at Geneva last year and whose second sitting has just ended in Paris, appears to have related to food questions. The objects aimed at by the society are, no doubt, excellent, but they are hardly likely to be attained if the procedure followed in certain respects at the Geneva and Paris Congresses is adopted in the future. Many of the questions brought before these Congresses were of a highly technical nature, and, for this reason, it was not only very desirable, but absolutely necessary that the matters under discussion should have been dealt with, so far as time allowed, by a thoroughly representative international body composed exclusively of scientific and legal experts of recognised position in their respective countries—that is to say, if the conclusions arrived at were to be taken as representing a serious expression of authoritative opinion. It does not appear that the conclusions and resolutions of these Congresses were arrived at by meetings constituted on these lines, and it is probably for this reason that very little, if any, impression has been produced by the gatherings referred to. The initial mistake appears to have been the admission of a number of people who were obviously only interested in the commercial aspects of the subjects dealt with, and who were sufficiently numerous and persistent to influence the meetings in directions favourable to what were declared to be the “requirements” of trade.