The Monty Hall dilemma (MHD) is a notorious brain teaser that received a lot of attention because both novices and statistical experts fail to reason correctly when solving this problem. In the current paper, we try to shed more light on the previous MHD research findings by discussing them in relationship to the equiprobability bias, which is known to develop with age and statistical education...

In various astrophysical contexts, we analyze self-similar behaviours of magnetohydrodynamic (MHD) evolution of a quasi-spherical polytropic magnetized gas under self-gravity with the specific entropy conserved along streamlines. In particular, this MHD model analysis frees the scaling parameter n in the conventional polytropic self-similar transformation from the constraint of n+ γ = 2 with γ ...

Magnetohydrodynamics (MHD) simulations based on the ideal MHD equations have become a powerful tool for modeling phenomena in a wide range of applications including laboratory, astrophysical, and space plasmas. In general, high-resolution methods for solving the ideal MHD equations are computationally expensive and Beowulf clusters or even supercomputers are often used to run the codes that imp...

In this paper we present an analytical study of a subgrid scale turbulence model of the threedimensional magnetohydrodynamic (MHD) equations, inspired by the Navier-Stokes-α (also known as the viscous Camassa-Holm equations or the Lagrangian-averaged Navier-Stokes-α model. Specifically, we show the global well-posedness and regularity of solutions of a certain MHD-α model (which is a particular...

Magnetic reconnection based on the resistive and Hall MHD equations are reviewed. It is found from both theory and simulation that the impulsive reconnection can be achieved in the resistive and Hall MHD by imposing suitable boundary conditions. All results from resistive and Hall MHD indicate that reconnection processes contain two phases: slow growth phase and impulsive phase, and between the...

Abstract The instabilities of fluid in the liquid metal battery (LMB) can easily cause a short circuit and lead to safety accidents, which have become bottleneck LMB industrial applications. In this case, structure named grid-structure (GS) based on inner cavity has been used suppress instabilities. Based OpenFOAM-4 x numerical simulation, we analyzed critical electric potential basic structure...

Patients with mental health disorders (MHDs) use the emergency department (ED) for acute psychiatric emergencies, for injuries and illnesses complicated by or related to their MHD, or when psychiatric or primary-care options are inaccessible or unavailable. An estimated 5% of ambulatory-care visits in the United States during 2007-2008 were made by patients with primary mental health diagnoses....

Background: Studies that examined dietary energy requirements (DERs) of patients undergoing maintenance hemodialysis (MHD) have shown mixed results. Many studies reported normal DERs, but some described increased energy needs. DERs in MHD patients have been estimated primarily from indirect calorimetry and from nitrogen balance studies. The present study measured DERs in MHD patients on the bas...

Weconsider liquid-metal free-surface flows subject to a strongmagnetic field, including film, droplet and jet flows, as potential means to remove high heat fluxes of (5–15)·106 W/m or larger in fusion applications. These considerations are partially based on the earlier experimental studies of free-surface flows performed in the Tokomak-3 reactor in the city of Shatura, Russia. We also review r...

In broad astrophysical contexts of large-scale gravitational collapses and outflows and as a basis for various further astrophysical applications, we formulate and investigate a theoretical problem of self-similar magnetohydrodynamics (MHD) for a non-rotating polytropic gas of quasi-spherical symmetry permeated by a completely random magnetic field. Within this framework, we derive two coupled ...