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Double-diffusive convection in a plane layer with low thermal conductivity boundaries

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Abstract

This study examines double-diffusive convection in a horizontal fluid layer with low thermal conductivity boundaries, where the heat flux is fixed. Using linear stability analysis and nonlinear modeling, the behavior of the system is explored under different thermal and concentration gradients. Two instability modes are identified: monotonous and oscillatory. The monotonous mode, exhibiting longwave patterns, dominates when both gradients contribute to instability. The oscillatory mode occurs when the gradients oppose each other, with stability thresholds dependent on system parameters. Nonlinear modeling confirms the linear theory, showing longwave patterns near the instability threshold and oscillatory behavior when gradients are opposed. These findings offer insights into double-diffusive convection in systems with low thermal conductivity boundaries.

Odd L

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{0} (ground state)

1/2

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{0, 1}

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{1}

3/2

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{0, 2}

3

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{0, 3}, {1, 2}

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Summary

The Application of Generative AI in User Experience Design and Research: An Industry Practice Survey

1. Introduction

  • The Importance of User Experience in Digital Product Development
  • The History and Current State of AI Applications in the UX Field
  • Research Background and Motivation
  • Research Questions: RQ1: How do companies allow the use of GenAI in the UX department and existing policies? RQ2: How do UX practitioners and teams integrate GenAI into their work practices? RQ3: Current challenges and needs of GenAI in UX industry practices

2. Related Work

Fig. 1: Overview of the spatiotemporal distribution of ancient humans and plague infections in this study.
Fig. 1: Overview of the spatiotemporal distribution of ancient humans and plague infections in this study.
Full size image

a, Locations of affected cemeteries on the Angara River northwest of Lake Baikal, and IBD sharing between the sampled occupants of cemeteries (pairwise sharing lines between sites; greyscale ramp indicates total IBD sharing in segments larger than 3 centimorgans (cM) totalling more than 10 cM in pairwise relationships between sites; Supplementary Note 2). Inset represent the sampled individuals at each site (31 Ust’-Ida I, 8 Bratskii Kamen, 2 Serovo and 5 Shumilkha), with plague detections indicated, and shared graves indicated by shaded areas around individuals. Maps created using Natural Earth Data. b, Kernel density estimates plotted within Bayesian models of the date ranges for the early (red) and late (dark yellow) phases of plague outbreaks at Baikal. Lighter shaded areas correspond to the summed probability distributions prior to modelling; dates used are from individuals identified with plague only. Inset, 95.4% confidence intervals for modelled date ranges at Baikal are shown compared with those from other pre-LNBA plague cases: RV2039 from Latvia15, Warberg 1 and Warberg 2 from Germany61 and FRA102 from Sweden11. c, Kernel density estimate modelled radiocarbon date distributions for the four cemetery sites, for all radiocarbon-dated post-weaning age humans (or associated deer tooth pendants), irrespective of DNA sampling. Radiocarbon date modelling undertaken with OxCal v.4.4.465,66.

Table of Contents

Recurrent themes in Biomedical Informatics

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