Instabilities during convection–diffusion of binary mixtures in a non-isothermal flow: A linear stability analysis

2021 ◽  
Vol 33 (8) ◽  
pp. 084107
Author(s):  
Manish K. Khandelwal ◽  
Nidhi Singh ◽  
Abhishek K. Sharma ◽  
Peng Yu
Keyword(s):  
Stability Analysis ◽  
Linear Stability ◽  
Binary Mixtures ◽  
Linear Stability Analysis ◽  
Isothermal Flow ◽  
Convection Diffusion

scholarly journals A Multispecies Cross-Diffusion Model for Territorial Development

Mathematics ◽  
2021 ◽  
Vol 9 (12) ◽  
pp. 1428
Author(s):  
Abdulaziz Alsenafi ◽  
Alethea B. T. Barbaro
Keyword(s):  
Stability Analysis ◽  
Linear Stability ◽  
Linear Stability Analysis ◽  
Diffusion Equations ◽  
Group Model ◽  
Territorial Development ◽  
Agent Based ◽  
Convection Diffusion ◽  
Cross Diffusion ◽  
The Continuum

We develop an agent-based model on a lattice to investigate territorial development motivated by markings such as graffiti, generalizing a previously-published model to account for K groups instead of two groups. We then analyze this model and present two novel variations. Our model assumes that agents’ movement is a biased random walk away from rival groups’ markings. All interactions between agents are indirect, mediated through the markings. We numerically demonstrate that in a system of three groups, the groups segregate in certain parameter regimes. Starting from the discrete model, we formally derive the continuum system of 2K convection–diffusion equations for our model. These equations exhibit cross-diffusion due to the avoidance of the rival groups’ markings. Both through numerical simulations and through a linear stability analysis of the continuum system, we find that many of the same properties hold for the K-group model as for the two-group model. We then introduce two novel variations of the agent-based model, one corresponding to some groups being more timid than others, and the other corresponding to some groups being more threatening than others. These variations present different territorial patterns than those found in the original model. We derive corresponding systems of convection–diffusion equations for each of these variations, finding both numerically and through linear stability analysis that each variation exhibits a phase transition.

LINEAR STABILITY ANALYSIS OF HEATED PARALLEL CHANNELS

1982 ◽  
Author(s):  
Hossein Pour Nourbakhsh ◽  
Herbert S. Isbin
Keyword(s):  
Stability Analysis ◽  
Linear Stability ◽  
Linear Stability Analysis ◽  
Parallel Channels

Linear stability analysis of the ionization layer of a diffuse anode arc

1995 ◽  
Author(s):  
B Yuan ◽  
M Cappelli
Keyword(s):  
Stability Analysis ◽  
Linear Stability ◽  
Linear Stability Analysis

Linear stability analysis for flows over sinusoidal bottom topography

2021 ◽  
Vol 911 ◽  
Author(s):  
Jack Davies ◽  
Hemant Khatri ◽  
Pavel Berloff
Keyword(s):  
Stability Analysis ◽  
Linear Stability ◽  
Linear Stability Analysis ◽  
Bottom Topography

Abstract

scholarly journals Linear stability analysis of a boundary layer with rotating wall-normal cylindrical roughness elements

2021 ◽  
Vol 915 ◽  
Author(s):  
Yongxiang Wu ◽  
Gabriel Axtmann ◽  
Ulrich Rist
Keyword(s):  
Boundary Layer ◽  
Stability Analysis ◽  
Linear Stability ◽  
Linear Stability Analysis ◽  
Rotating Wall ◽  
Roughness Elements

Abstract

Linear stability analysis of a Newtonian ferrofluid cylinder under a magnetic field

2021 ◽  
Vol 915 ◽  
Author(s):  
Romain Canu ◽  
Marie-Charlotte Renoult
Keyword(s):  
Magnetic Field ◽  
Stability Analysis ◽  
Linear Stability ◽  
Linear Stability Analysis

Abstract

Linear stability analysis of nonholonomic multibody systems

2021 ◽  
Vol 198 ◽  
pp. 106392
Author(s):  
A.G. Agúndez ◽  
D. García-Vallejo ◽  
E. Freire
Keyword(s):  
Stability Analysis ◽  
Linear Stability ◽  
Linear Stability Analysis ◽  
Multibody Systems

Internet connected vehicle platoon system modeling and linear stability analysis

2021 ◽  
Author(s):  
Lidong Zhang ◽  
Mengmeng Zhang ◽  
Jian Wang ◽  
Xiaowei Li ◽  
Wenxing Zhu
Keyword(s):  
Stability Analysis ◽  
Linear Stability ◽  
Linear Stability Analysis ◽  
System Modeling ◽  
Connected Vehicle ◽  
Vehicle Platoon
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