Finite Amplitude Convection in Rotating Porous Media

2003 ◽  
Author(s):  
Johnathan J. Vadasz ◽  
Saneshan Govender
Keyword(s):  
Porous Media ◽  
Finite Amplitude ◽  
Amplitude Analysis ◽  
Linear Effect ◽  
Porous Layers ◽  
Wide Range ◽  
Non Linear ◽  
Convection Patterns ◽  
Detailed Nature ◽  
Rotating Porous Media

The linear stability of centrifugally induced convection in rotating porous layers suggests a wide range of possible convective solutions. While the linear solutions indicate possible convective regimes and flow details, it is the non-linear effect that eventually establishes the detailed nature of the convection patterns. The latter is accounted for in a finite amplitude analysis. The results of the finite amplitude analysis via the weak non-linear theory are presented here with the aim to assist in selecting between these solutions and providing further analytical detail on the nature of convection.

Parameterization of Mixed Layer Eddies. Part I: Theory and Diagnosis

2008 ◽  
Vol 38 (6) ◽  
pp. 1145-1165 ◽  
Author(s):  
Baylor Fox-Kemper ◽  
Raffaele Ferrari ◽  
Robert Hallberg
Keyword(s):  
Mixed Layer ◽  
Mixed Layer Depth ◽  
Baroclinic Instability ◽  
Finite Amplitude ◽  
Climate Impacts ◽  
Surface Mixed Layer ◽  
Rotation Rates ◽  
Wide Range ◽  
Horizontal Density Gradient ◽  
Mixed Layers

Abstract Ageostrophic baroclinic instabilities develop within the surface mixed layer of the ocean at horizontal fronts and efficiently restratify the upper ocean. In this paper a parameterization for the restratification driven by finite-amplitude baroclinic instabilities of the mixed layer is proposed in terms of an overturning streamfunction that tilts isopycnals from the vertical to the horizontal. The streamfunction is proportional to the product of the horizontal density gradient, the mixed layer depth squared, and the inertial period. Hence restratification proceeds faster at strong fronts in deep mixed layers with a weak latitude dependence. In this paper the parameterization is theoretically motivated, confirmed to perform well for a wide range of mixed layer depths, rotation rates, and vertical and horizontal stratifications. It is shown to be superior to alternative extant parameterizations of baroclinic instability for the problem of mixed layer restratification. Two companion papers discuss the numerical implementation and the climate impacts of this parameterization.

scholarly journals Non-linear effect of different humidity types on scrub typhus occurrence in endemic provinces, Thailand

Heliyon ◽  
2021 ◽  
Vol 7 (2) ◽  
pp. e06095
Author(s):  
Bhophkrit Bhopdhornangkul ◽  
Aronrag Cooper Meeyai ◽  
Waranya Wongwit ◽  
Yanin Limpanont ◽  
Sopon Iamsirithaworn ◽  
...  
Keyword(s):  
Scrub Typhus ◽  
Linear Effect ◽  
Non Linear Effect ◽  
Non Linear

Influence of fluid viscosity and flow transition over non-linear filtration through porous media

2021 ◽  
Vol 130 (4) ◽  
Author(s):  
Ashes Banerjee ◽  
Srinivas Pasupuleti ◽  
Mritunjay Kumar Singh ◽  
Dandu Jagan Mohan
Keyword(s):  
Porous Media ◽  
Fluid Viscosity ◽  
Flow Transition ◽  
Non Linear ◽  
Linear Filtration
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