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The potential flow field for the transitional region in a constant radius, two‐dimensional duct was studied. The potential velocity and pressure profiles in various duct geometries with different turning angles and duct heights were investigated. A generalized solution of potential flow in a transitional bend was obtained.

The purpose of this paper is to consider reconstructions of potential 2D fields from discrete measurements. Two potential processes are addressed, steady flow and heat conduction. In the first case, the flow speed and streamlines are determined from the discrete data on flow directions, in the second case, the temperature and flux are recovered from temperature measurements at discrete points.

The method employs the Trefftz element principle and the collocation. The domain is seen as a combination of elements, where the solution is sought as a linear holomorphic function a priori satisfying the governing equations. Continuity of piecewise holomorphic functions is imposed at collocation points located on the element interfaces. These form the first group of equations. The second group of equations is formed by addressing the measured data, therefore the matrix coefficients may reflect experimental errors. In the case of fluid flow, all equations are homogeneous, therefore one normalising equation is added, which provides existence of a non‐trivial solution. The system is over‐determined; it is solved by the least squares method.

For the heat flow problem, the determination of heat flux is unique, while for the fluid flow, the determined streamlines are unique and the determination of speed contains one free multiplicative positive constant. Several examples are presented to illustrate the methods and investigate their efficiency and sensitivity to noisy data.

The approach can be applied to other 2D potential problems.

The paper studies two novel formulations of the reconstruction problem for 2D potential fields. It is shown that the suggested numerical method is able to deal directly with discrete experimental data.

This study aims at developing a comprehensive model for the analysis of electro-osmotic flow (EOF) through a fluid-saturated porous medium. To fully understand and exploit a number of applications, such a model for EOF through porous media is essential.

The proposed model is based on a generalised set of governing equations used for modelling flow through fluid saturated porous media. These equations are modified to incorporate appropriate modifications to represent electro-osmosis (EO). The model is solved through the finite element method (FEM). The validity of the proposed numerical model is demonstrated by comparing the numerical results of internal potential and velocity distribution with corresponding analytical expressions. The model introduced is also used to carry out a sensitivity analysis of the main parameters that control EOF.

The analysis carried out confirms that EO in free channels without porous obstruction is effective only at small scales, as largely discussed in the available literature. Using porous media makes EO independent of the channel scale. Indeed, as the channel size increases, the presence of the charged porous medium is essential to induce fluid flow. Moreover, results demonstrate that flow is significantly affected by the characteristics of the porous medium, such as particle size, and by the zeta potential acting on the charged surfaces.

To the best of the authors’ knowledge, a comprehensive FEM model, based on the generalised equations to simulate EOF in porous media, is proposed here for the first time.

The purpose of this paper is to investigate electrokinetic and mixed convection (pressure gradient and buoyancy) effects on reverse flow formation at the channel walls.

The electrical potential distribution was modelled using the Poisson–Boltzmann equation while the governing momentum and energy equations are modelled from the Navier–Stokes equations and solved exactly.

It is found that flow reversal at the walls is enhanced by electrokinetic parameter whereas increasing degree of asymmetric parameter up to symmetric heating eliminates reverse flow formation at the walls no matter the electric charge distribution.

The results of this paper indicate that degree of asymmetric heating, mixed convection parameter and electrokinetic parameter regulate fluid velocity, rate of heat transfer, skin friction and reverse flow formation at the walls.

The numerical solution of problems involving two‐dimensional flow in an infinite or a semi‐infinite channel is considered. Beyond a certain finite region, where the flow and geometry may be general, a “tail” region is assumed where the flow is potential and the channel is uniform. This situation is typical in many cases of fluid‐structure interaction and flow around obstacles in a channel. The unbounded domain is truncated by means of an artificial boundary B, which separates between the finite computational domain and the “tail.” On B, special boundary conditions are devised. In the finite computational domain, the problem is solved using a finite element scheme. Both non‐local and local artificial boundary conditions are considered on B, and their performance is compared via numerical examples.

This paper aims to model the aerodynamic flow characteristics of NACA0010 for various angle of attacks including stall for incompressible flows using panel methods. This paper also aims to quantify the surface pressure distribution on streamlined bodies and validate the results with analytical Jukouwski method and inverse panel methods that can predict the aerodynamic flow behaviour using the geometric iteration approach.

The 2 D panel method was implemented in Qblade software v.06 which uses the fundamental panel method which rely on source strengths and influence coefficients to determine the velocity and pressure fields on the surface. The software implements the boundary layer or viscous effects to determine the influence on aerodynamic performance at various angles of attack. Jukouwski method is also evaluated for predicting aerodynamic characteristics and is based on the geometric iteration approach. Then complex aerodynamic flow potentials are determined based on the source strengths which are used to predict the pressure and velocity fields.

At low to moderate angles of attack, panel and Jukouwski methods predict similar results for surface pressure coefficients comparable to Hess and Smith inverse method. In comparison to panel method, results from the Jukouwski mapping method predicted the pressure coefficient conservatively for the same free stream conditions. With increase in Reynolds number, lift coefficient and aerodynamic performance improved significantly for un-tripped aerofoil when stall angle is approached when compared to tripped aerofoil.

This study demonstrated that panel methods have higher efficacy in terms of computational time or resources and thus can provide benefits to many real-world aircraft or aerospace design applications.

Even though panel and Jukouwski methods have been studied extensively in the past, this paper demonstrates the efficacy of both methods for modelling aerodynamic flows that range between moderate to high Reynolds number which are critical for many aircraft applications. Both methods have been validated with analytical and inverse design methods which are able to predict aerodynamic flow characteristics for simple bluff bodies, streamlined aerofoils as well as bio-inspired corrugated aerofoils.

The purpose of this paper is to test flow as a construct distinctly separate from its antecedents, and the resulting impact on brand attitudes and purchase intent within realistic online shopping three-dimensional virtual environments (3-DVEs).

This research utilizes a field study, combined with a survey research design of 348 3-DVE participants.

The findings reveal that flow is not a unidimensional construct but rather, a mental state that should be measured separately from its antecedents, with the possibility that certain antecedents may be more relevant than others in different activities. Furthermore, the authors received strong support for the overarching hypothesized model separating the nine dimensions associated with engagement in an activity as antecedents of flow, which, in turn, influences brand attitude and thereafter purchase intention.

This study was limited to one type of activity within one 3-DVE but is balanced by the difficulty in gaining access to organizations and computer-mediated environments of this type for examining such phenomena.

Businesses using 3-DVEs to market brands should focus their efforts on creating highly enjoyable experiences that result in the feeling of a loss of sense of time for the participants in order to ultimately positively influence purchase intentions.

Prior research focused on fantasy-based, game-oriented environments, while also neglecting to test all elements of flow, examining “similar to flow” constructs or measuring flow as a unidimensional construct.

Virtual reality (VR) is of increasing interest to marketers because it can be used to explore and proactively shape long-term futures, co-create value with consumers, and foster consumer-brand engagement. Yet, to date, the field lacks a cohesive framework for approaching VR research; thus, the objective of this systematic literature review is to provide such a framework and highlight research opportunities.

First, after conducting a systematic literature review, we highlight VR themes instrumental to flow and propose a typology for VR research using realism-fantasy and immersion as dimensions. Next, we review the current state of empirical research for each quadrant. Finally, we synthesize research within each quadrant, specifying criteria and considerations for conducting research. In doing so, we propose an agenda for marketing research, centered on methodological, future studies, and consumer-related contributions.

VR themes instrumental to flow include the avatar, application quality, and interactivity. We find, contrary to some conceptualizations of VR, that all applications are capable of producing flow. Conflicting research and gaps are highlighted in the findings section and summarized in Table III. Additionally, while prior research seems to draw from findings of other VR applications in advancing knowledge in general, the results of the literature review suggest that VR applications should be treated uniquely. Finally, we propose highly immersive VR applications as more conducive to future studies research.

Scholars can utilize the findings to prioritize future research studies in marketing. By following the typology and research opportunities, scholars can advance marketing theory and enhance the external validity of research studies through VR applications.

Managers can utilize the findings to ascertain consumers and societies‘ responses to various marketing stimuli, with implications for product development, branding, retail/service experiences, adoption of new technologies, tourism, and many other domains. VR applications offer managers more ways of testing concepts and processes in realistic fashion without the costs and risks associated with more traditional methods.

The objective of this paper is to examine varying opportunities for VR research given flow and fantasy potential and to prioritize VR research.

The purpose of this study is to find whether undergraduate students in the first discipline-based class can attain flow state while researching. Despite its widespread acceptance and application, flow theory has not been applied to the research process. Moreover, it can further librarians’ knowledge of the importance of affect in information seeking behavior.

Flow is a phenomenological state achieved when skill level is equal to challenge level. Flow experience was operationalized using Z-score analysis as one standard deviation above individuals’ averages. The study used mixed methods including event contingent experience sampling method, Bostick’s library anxiety scale and reflection papers. Following library instruction sessions, undergraduate participants scheduled research consultations with a librarian.

Individual research sessions grew more positive as reflected by Z scores over the semester, with one case of flow. Overall, participants’ library anxiety decreased minimally. Reflection papers reiterated the value of approachability and interest of the librarian, with those who had consultations feeling both increased confidence in their skills and in knowing they had an ally in their research.

The original collaborator and pedagogy were not utilized, thereby limiting the scope and sample size. The author was able to collaborate with other faculty. Future research would benefit from a larger sample size and more collaboration.

Using flow theory as a model can emphasize the positive aspects of research as interesting and enjoyable, even in the imposed query setting of the classroom, and it can encourage librarians’ display of interest during research consultations.

Two issues have dominated the recent employment experience of the major industrial countries: first, the common rise in unemployment throughout the OECD; second, the diversity in the scale and content of that rise as between, on the one hand, the core of the European Union and Australia, and, on the other hand, North America. The growth and persistence of unemployment may be the result of the deregulation of global financial markets in the 1970s that has been followed by huge growth in short‐term capital flows. These flows have produced a significant increase in risk aversion in public sector and private sectors. This is the major source of deflationary pressures and persistent unemployment throughout the world. Those pressures could have been substantially mitigated if a key lesson had been drawn from the development of domestic financial markets – liberal markets are only efficient if they are efficiently regulated.