Unsteady turbulent buoyant plumes

We model the unsteady evolution of turbulent buoyant plumes following temporal changes to the source conditions. The integral model is derived from radial integration of the governing equations expressing the conservation of mass, axial momentum and buoyancy. The non-uniform radial profiles of the axial velocity and density deficit in the plume are explicitly described by shape factors in the integral equations; the commonly-assumed top-hat profiles lead to shape factors equal to unity. The resultant model is hyperbolic when the momentum shape factor, determined from the radial profile of the mean axial velocity, differs from unity. The solutions of the model when source conditions are maintained at constant values retain the form of the well-established steady plume solutions. We demonstrate that the inclusion of a momentum shape factor that differs from unity leads to a well-posed integral model. Therefore, our model does not exhibit the mathematical pathologies that appear in previously proposed unsteady integral models of turbulent plumes. A stability threshold for the value of the shape factor is identified, resulting in a range of its values where the amplitude of small perturbations to the steady solutions decay with distance from the source. The hyperbolic character of the system allows the formation of discontinuities in the fields describing the plume properties during the unsteady evolution. We compute numerical solutions to illustrate the transient development following an abrupt change in the source conditions. The adjustment to the new source conditions occurs through the propagation of a pulse of fluid through the plume. The dynamics of this pulse are described by a similarity solution and, by constructing this new similarity solution, we identify three regimes in which the evolution of the transient pulse following adjustment of the source qualitatively differ.Comment: 41 pages, 16 figures, under consideration for publication in Journal of Fluid Mechanic

The Infinite Legal Acumen of an Artificial Mind: How Machine Learning Can Permanently Capture Legal Expertise and Optimize the Law Firm Pyramid

As the legal industry gradually integrates artificial intelligence (AI) into its practice, the underlying technology continues to advance at a fever pitch. Machine learning platforms arguably represent the pinnacle of AI development, and this technology currently augments and replicates intelligent human tasks in ways never before conceived. The business applications of machine learning are bearing fruit across a spectrum of industries and professions. Yet despite machine learning’s demonstrated promise, its forays into the legal industry have been uneven. In fact, the most advanced forms of machine learning have been relegated primarily to lower-level attorney tasks such as e-discovery, due-diligence, and legal research and, unfortunately, have yet to be embraced by the upper echelon legal decision-makers and strategists. This article explores this technology’s underutilization in law and highlights the inroads made by machine learning in other professions such as healthcare. It then provides an illustration of the capacity of machine learning and develops detailed hypotheticals of machine learning’s potential impact upon several representative areas of high-level legal decision-making, including lateral hiring, litigation strategy development, cost optimization, and overall law firm management. Finally, this article argues that incorporating machine learning will enable firms to permanently capture attorney expertise and develop deep reservoirs of reputational capital as a source of enduring competitive advantage

Pandemic as Panacea: The Positive Long-Term Impact of Forced Innovation in the Legal Industry

Despite the untold disruption the COVID-19 pandemic continues to inflict upon the legal industry, several positive outcomes may ultimately emerge. These unexpected gains may not only improve the practice of law but also address long-standing weaknesses in the industry. In this article, I utilize Roger’s Innovation Diffusion model to shed preliminary light on the unprecedented phenomenon of forced, comprehensive, and immediate adoption of new technology throughout the legal industry. While doing so, I highlight the way this sudden adoption will likely change perceptions regarding perennial areas of tension, such as mental health and work-life balance. Finally, I argue that the sheer scale of change within the industry will ultimately lead to improvements in work-life balance, increased access to legal services, and a stronger appetite and capacity for adopting future technological innovations in law

Entrepreneurial Esquires in the New Economy: Why All Attorneys Should Learn about Entrepreneurship in Law School

As the legal industry continues to recover from the shock of the recent recession, it finds itself in a fundamentally different place than it was ten years ago, with even more tumultuous change on the horizon. Economic pressure coupled with continued technological innovation has increased attorney unemployment levels, shifted law firm business models, and changed the expectations of legal clientele. Yet, despite this radically shifting market place, legal education has remained fundamentally unchanged. This article examines the current state of the legal industry through an entrepreneurial lens and juxtaposes it with the current state of legal education. In doing so, this article sets forth three key claims: (1) the legal industry is not only ripe for entrepreneurial attorneys but will actually depend upon them for survival; (2) as a whole, law schools are currently ill-suited to provide entrepreneurship training; and (3) all attorneys, regardless of their chosen career path, would benefit from exposure to entrepreneurship education in law school

Integrating Machine Learning in Law: A Precis of Best Practices for Initial Law Firm Adoption

Much of the mystery surrounding machine learning lays not just in how it functions, but in how it is applied. This is especially true in the field of law, where the implementation of artificial intelligence has lagged other fields. This précis distills best practices of machine learning implementation and applies them succinctly to the unique environment of law. Guiding principles and considerations are provided for the technology team, the nature of law firm data, and the commitment level of the adopting law firm

Experimental Trials Based on a Neocortex-based Adaptive System Pattern

AbstractThis paper proposes a general design pattern for building adaptive systems. The Neocortex Adaptive System Pattern (NASP) architecture is an adaptive decision-making architecture. It is derived from the physical architecture observed within the neocortex of a primate brain. This architectural pattern is used as a basis to provide necessary functions to adaptive systems, allowing different adaptive system components with different methodologies and techniques to coexist and cooperate within a single system. Properties of the NASP are illustrated using an agent-based simulation experiment framework composed of simulated tank vs. tank game. This study supplies experimental results that compare adaptive decisions based on accuracy and timeliness. It shows that a more accurate decision may in fact be the less optimal one due to time constraints. The experimentation results suggest that multi-system adaptation can increase system performance, and learned information can identify time frames when an adaptation can increase system performance. The practice of designing and building agent based systems shares many principles and approaches with the NASP. An agent-based architecture has a common environment that is utilized to share the state of the system with member agents. It contains autonomous entities that communicate with each other in order to perform their designed functions. A unique contribution of the NASP approach over other research is to add the ability for different agents to create alternative courses of action and controls such as rule-based, neural, or Bayesian that are used to choose from those alternatives based on their latest information. While counter intuitive, the findings suggest that increased performance in this combatant domain suggest that earlier adaptations, using less information, improve the performance of the adaptive system. The paper provides a literature review of relevant neuroscience literature that describes the parallels between the architecture of the neocortex and NASP. The paper discusses the simulation experiments and associated results that illustrate how tradeoffs between information completeness and timeliness affect system performance within a NASP-based system

Poly-paraphyly of Hirudinidae: many lineages of medicinal leeches

<p>Abstract</p> <p>Background</p> <p>Medicinal leeches became infamous for their utility in bloodletting popularized in the 19^thcentury, and have seen a recent resurgence in post-operative treatments for flap and replantation surgeries, and in terms of characterization of salivary anticoagulants. Notorious throughout the world, the quintessential leech family Hirudinidae has been taken for granted to be monophyletic, as has the non-bloodfeeding family Haemopidae.</p> <p>Results</p> <p>This study is the first to evaluate molecular evidence from hirudinid and haemopid leeches in a manner that encompasses the global scope of their taxonomic distributions. We evaluated the presumed monophyly of the Hirudinidae and assessed previous well-accepted classification schemes. The Hirudinidae were found not to be monophyletic, falling instead into two distinct and unrelated clades. Members of the non-bloodfeeding family Haemopidae were scattered throughout the tree and among traditional hirudinid genera. A combination of nuclear 18S rDNA and 28S rDNA with mitochondrial 12S rDNA and cytochrome <it>c </it>oxidase I were analyzed with Parsimony and with Bayesian methods.</p> <p>Conclusion</p> <p>The family Hirudinidae must be refined to include only the clade containing <it>Hirudo medicinalis </it>(European medicinal leech) and related leeches irrespective of bloodfeeding behavior. A second clade containing <it>Macrobdella decora </it>(North American medicinal leech) and its relatives may yet be recognized in Semiscolecidae in order to avoid paraphyly. The African distribution of species from each of the divergent hirudinid clades suggests that a deep divergence took place in the history of the medicinal leeches hundreds of millions of years ago.</p

Yield Reserve Program Costs in the Virginia Coastal Plain

A proposed Yield Reserve Program designed to compensate farmers for any reduced yields resulting from nitrogen (N) application rates reduced to below recommended rates is evaluated. Assuming that farmers currently follow Extension recommendations for applying N, Yield Reserve Program participation reduces expected net revenue by $10 to$13/ha. The Yield Reserve Program reduces expected net revenue by $17 to$20/ha for farmers who apply N to maximize expected net revenue. Farmers’ costs of participation increase with lower probabilities of inadequate rainfall and higher corn prices and decline with higher N prices. The Yield Reserve Program can significantly reduce N applications to cropland, which may reduce N content of surface waters, but the costs to taxpayers and farmers will depend on how the program is implemented.compliance cost, nitrogen fertilizer, nonpoint source pollution, policy, yield response function, Agricultural and Food Policy, Crop Production/Industries,

Hyper IgE Syndrome and Renal Cell Carcinoma

Hyper IgE Syndrome (HIES) is an immunodeficiency disorder characterized by increased serum levels of IgE, eczema, and recurrent cutaneous and pulmonary infections. In this report, we present, to our knowledge, the first documented case of renal cell carcinoma (RCC) found in a patient with HIES. The patient received infectious disease clearance prior to obtaining a partial nephrectomy which revealed clear cell histology. Both HIES and RCC have an immunological basis for their pathophysiology and may involve common pathways. Further studies may provide insight into any possible link and clinicians should be mindful of immunocompromised patients who present with risk factors for genitourinary malignancy

Puzzling It Out: The Current State of Scientific Knowledge on Pre-Kindergarten Effects - A Consensus Statement

Scientific research has established that if all children are to achieve their developmental potential, it is important to lay the foundation during the earliest years for lifelong health, learning, and positive behavior. A central question is how well our public pre-kindergarten (pre-K) programs are doing to build this foundation.Forty-two states and the District of Columbia, through 57 pre-K programs, have introduced substantial innovations in their early education systems by developing the infrastructure, program sites, and workforce required to accommodate pre-K education. These programs now serve nearly 30 percent of the nation's 4-year-olds and 5 percent of 3-year-olds