Given a velocity field u(x,t), we consider the evolution of passive tracer θ governed by ∂tθ+u⋅∇θ=Δθ+g with time-independent source g(x). When u is small in some sense, Batchelor, Howells and Townsend (Batchelor et al., 1959) predicted that spectrum scales as |θk|2∝|k|−4|uk|2. Following our recent work for two-dimensional case, this paper prove BHT59 scaling does hold probabilistically, asympto...

Introduction: Double aortic arch (DAA) is a congenital anomaly of the aortic arch. It is the most common type of complete vascular ring. When it occurs, the connected segment of the aortic arch and its branches encircle the trachea and esophagus, leading to symptoms related to these two structures. Case Report: We present a case of a newborn baby who developed biphasic stridor immediately after...

In this paper, a high-order and conditionally stable stochastic difference scheme is proposed for the numerical solution of $rm Ithat{o}$ stochastic advection diffusion equation with one dimensional white noise process. We applied a finite difference approximation of fourth-order for discretizing space spatial derivative of this equation. The main properties of deterministic difference schemes,...

objective: in vitro ovarian follicle culture provides a tool to investigate folliculogenesis and may be used as an assisted reproductive technology )art(. this study aims to compare survival and development rates in mouse ovarian follicles after two and three dimensional in vitro cultures. methods: preantral follicles were isolated from the ovaries of 14-day old female mice and cultured in α-m...

Background and Aim: There is a gap of information on the effect of time, disinfectant, and storage conditions on the dimensional stability of direct post patterns made of self-cure acrylic resins. This study assessed the effect of Deconex® and wet or dry stor-age conditions on the dimensional stability of post patterns made of Duralay and GC acrylic resins. Materials and Methods: Sixty spe...

In this article, the temperature behavior of output power of superluminescent light-emitting diode (SLED) by considering the effect of non-radiative recombination coefficient, non-radiative spontaneous emission coefficient and Auger recombination coefficients has been investigated. For this aim, GaN pyramidal quantum dots were used as the active region. The numerical method has been used to sol...

in this present study, volume of fluid method in openfoam open source cfd package will be extended to consider phase change phenomena with modified model due to condensation and boiling processes. this model is suitable for the case in which both unsaturated phase and saturated phase are present and for beginning boiling and condensation process needn't initial interface. both phases (liqu...