Numerical solution of the thermal instability of a micropolar fluid layer between rigid boundaries

1979 ◽  
Vol 32 (1-3) ◽  
pp. 79-88 ◽  
Author(s):  
K. V. Rama Rao
Keyword(s):  
Numerical Solution ◽  
Micropolar Fluid ◽  
Thermal Instability ◽  
Fluid Layer

Thermal Instability of Compressible Micropolar Fluid in the Presence of Suspended Particles

2012 ◽  
Vol 28 (2) ◽  
pp. 239-246 ◽  
Author(s):  
N. Rani ◽  
S. K. Tomar
Keyword(s):  
Dispersion Relation ◽  
Rayleigh Number ◽  
Micropolar Fluid ◽  
Thermal Instability ◽  
Fluid Layer ◽  
Suspended Particles ◽  
Stationary Convection ◽  
Presence And Absence ◽  
Number Curve

AbstractA problem of thermal instability of a compressible micropolar fluid layer heated from below in the presence of suspended particles has been investigated. Dispersion relation is derived and Rayleigh number curve is then plotted against the wavenumber at different values of compressibility parameter for a model example. Compressibility is found to be responsible to destabilize the system in the presence and absence of suspended particles for both stationary and over stationary convection.

Wavelet Lifting Scheme for the Numerical Solution of Dynamic Reynolds Equation for Micropolar Fluid Lubrication

2021 ◽  
pp. 2150033
Author(s):  
S. C. Shiralashetti ◽  
M. H. Kantli ◽  
A. B. Deshi
Keyword(s):  
Numerical Solution ◽  
Micropolar Fluid ◽  
Reynolds Equation ◽  
Lifting Scheme ◽  
Computational Time ◽  
Biorthogonal Wavelets ◽  
Wavelet Theory ◽  
Science And Engineering ◽  
Promising Tool ◽  
Wavelet Lifting

Recently, wavelet theory has become a well recognized promising tool in science and engineering field; especially, wavelets are successfully used in fast algorithms for easy execution. In this paper, we developed wavelet lifting scheme using orthogonal and biorthogonal wavelets for the numerical solution of dynamic Reynolds equation for micropolar fluid lubrication. The numerical results gained through proposed scheme are compared with the exact solution to expose the accuracy with speed of convergence in lesser computational time as compared with the existing methods. The examples are given to demonstrate the applicability and attractiveness of proposed method.

Thermal Instability of a Fluid-Saturated Porous Medium Bounded by Thin Fluid Layers

1987 ◽  
Vol 109 (3) ◽  
pp. 677-682 ◽  
Author(s):  
G. Pillatsis ◽  
M. E. Taslim ◽  
U. Narusawa
Keyword(s):  
Porous Medium ◽  
Porous Layer ◽  
Thermal Instability ◽  
Numerical Solutions ◽  
Fluid Layer ◽  
Critical Rayleigh Number ◽  
Convective Motion ◽  
Wave Number ◽  
Thermal Conductivity Ratio ◽  
Fluid Layers

A linear stability analysis is performed for a horizontal Darcy porous layer of depth 2dm sandwiched between two fluid layers of depth d (each) with the top and bottom boundaries being dynamically free and kept at fixed temperatures. The Beavers–Joseph condition is employed as one of the interfacial boundary conditions between the fluid and the porous layer. The critical Rayleigh number and the horizontal wave number for the onset of convective motion depend on the following four nondimensional parameters: dˆ ( = dm/d, the depth ratio), δ ( = K/dm with K being the permeability of the porous medium), α (the proportionality constant in the Beavers–Joseph condition), and k/km (the thermal conductivity ratio). In order to analyze the effect of these parameters on the stability condition, a set of numerical solutions is obtained in terms of a convergent series for the respective layers, for the case in which the thickness of the porous layer is much greater than that of the fluid layer. A comparison of this study with the previously obtained exact solution for the case of constant heat flux boundaries is made to illustrate quantitative effects of the interfacial and the top/bottom boundaries on the thermal instability of a combined system of porous and fluid layers.

Thermal instability of a fluid layer when cooled isothermally from above

2009 ◽  
Vol 26 (6) ◽  
pp. 1441-1446
Author(s):  
Joo Hyung Moon ◽  
Kyung Hyun Ahn ◽  
Chang Kyun Choi ◽  
Min Chan Kim
Keyword(s):  
Thermal Instability ◽  
Fluid Layer
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