Novel numerical analysis of multi-term time fractional viscoelastic non-Newtonian fluid models for simulating unsteady MHD Couette flow of a generalized Oldroyd-B fluid

In recent years, non-Newtonian fluids have received much attention due to their numerous applications, such as plastic manufacture and extrusion of polymer fluids. They are more complex than Newtonian fluids because the relationship between shear stress and shear rate is nonlinear. One particular subclass of non-Newtonian fluids is the generalized Oldroyd-B fluid, which is modelled using terms involving multi-term time fractional diffusion and reaction. In this paper, we consider the application of the finite difference method for this class of novel multi-term time fractional viscoelastic non-Newtonian fluid models. An important contribution of the work is that the new model not only has a multi-term time derivative, of which the fractional order indices range from 0 to 2, but also possesses a special time fractional operator on the spatial derivative that is challenging to approximate. There appears to be no literature reported on the numerical solution of this type of equation. We derive two new different finite difference schemes to approximate the model. Then we establish the stability and convergence analysis of these schemes based on the discrete $H^1$ norm and prove that their accuracy is of $O(\tau+h^2)$ and $O(\tau^{\min\{3-\gamma_s,2-\alpha_q,2-\beta\}}+h^2)$, respectively. Finally, we verify our methods using two numerical examples and apply the schemes to simulate an unsteady magnetohydrodynamic (MHD) Couette flow of a generalized Oldroyd-B fluid model. Our methods are effective and can be extended to solve other non-Newtonian fluid models such as the generalized Maxwell fluid model, the generalized second grade fluid model and the generalized Burgers fluid model.Comment: 19 pages, 8 figures, 3 table

Structure and Dynamics of Ionospheric Plasma

n/

From Omnipresent Network to Constant Connectivity: The Role of Psychological Needs and Social Norms

The omnipresent mobile networks, such as Wi-Fi, WLAN, and network provided by mobile operators, facilitate the whole world connected. Mobile technology users can access to the world with the networks, making them feel constant connection to others which predicts the perception of invasion. This study aims to explore the boundary condition of this relationship from two perspectives—individuals’ psychological needs and social norms. This study theorizes that psychological needs strengthen the effect of accessibility of omnipresent networks, while social norms weaken that effect. Data was collected from 223 employees with mobile technology usage in their work. The results support our justifications, and discussion and implications are also presented

Investigating the impact of social support embedded in online consultation on physicians’ online reputation: The moderating role of media capabilities

The importance of physicians’ online reputation (POR) has been recognized in the healthcare consultation process. However, few studies provide physicians with practical advice that help them improve their online reputation. Drawing on the taxonomy of social support and media synchronicity theory, this study proposes a theoretical model to study the relationship between physicians’ computer-mediated social support (CMSS) and POR, and the moderating effect of media capabilities on above relationships. This study collects online consultation records from a leading Chinese online consultation platform and employs the long short-term memory (LSTM) model to extract measurements of two types of CMSS. Our finding suggests that physicians’ action-facilitating support and nurturant support have significant positive impacts on POR. Furthermore, physicians’ communication frequency and communication depth strengthen the relationship between physicians’ action-facilitating support and POR. Readability strengthens the relationship between social support and POR. This study provides implications on how physicians can improve their online reputation

BYOD IMPLEMENTATION: UNDERSTANDING ORGANIZATIONAL PERFORMANCE THROUGH A GIFT PERSPECTIVE

BYOD, which allows employees to bring their own mobile devices to work and connect into the corporation network, has been increasingly implemented by numerous organizations and corporations. Companies expect to save cost as well as increase productivity and employees’ morale through BYOD implementation. Hence, it is critical for companies to understand how BYOD affects organizational performance. Addressing on gift economy and cognitive evaluation theory, this study indicates the gift nature of BYOD and builds up a cross-level research framework which indicates two aspects of BYOD - informational aspect and controlling aspect. When informational aspect is perceived by employees, they will return positive outcomes, thereafter increase productivity and morale. In contrast to controlling aspect, negative outcomes will be returned and then decrease productivity and morale. A two-step mixed method approach will be conducted to test proposed research framework

Attention Trade-off between Two Types of User Contributions: Effects of Pinterest-Style Infinite Scroll Layouts on Creating Original Sharing and Appreciating Others’ Sharing

User contributions are critical to social commerce sites. Prior studies mainly examined motivational factors influencing user contributions. In the current study, we examine effects of interface layouts on user contributions, from the perspective of attention allocation. We also distinguish between the two types of user contributions: creating original sharing and appreciating others’ sharing. Since attention is a limited resource, we argue that interface layouts may lead to attention trade-off between the two types of user contributions. Leveraging an opportunity of a popular social commerce site’s transformation to Pinterest-style infinite scrolling layouts, we collected panel data. Empirical findings show that the new layouts design has opposite effects on the two types of user contribution: a positive effect on users’ appreciation of others’ sharing, but a negative effect on users’ original sharing. Some user characteristics moderate the effects. The findings yield important implications for research and websites design practice