scholarly journals THEORETICAL STUDY OF THE STABILITY OF TWO-FLUID LAYERS

1974 ◽  
Vol 7 (2) ◽  
pp. 81-87 ◽  
Author(s):  
NOBUYUKI IMAISHI ◽  
KATSUHIKO FUJIKAWA
Keyword(s):  
Theoretical Study ◽  
Fluid Layers ◽  
The Stability ◽  
Two Fluid

Thermal Stability of Two Fluid Layers Separated by a Solid Interlayer of Finite Thickness and Thermal Conductivity

1984 ◽  
Vol 106 (3) ◽  
pp. 605-612 ◽  
Author(s):  
I. Catton ◽  
J. H. Lienhard
Keyword(s):  
Thermal Conductivity ◽  
Fluid Layer ◽  
Heated Surface ◽  
Finite Thickness ◽  
Fluid Layers ◽  
The Stability ◽  
Stability Limits ◽  
Range Of Values ◽  
Two Fluid ◽  
Thermal Stability Of

Stability limits of two horizontal fluid layers separated by an interlayer of finite thermal conductivity are determined. The upper cooled surface and the lower heated surface are taken to be perfectly conducting. The stability limits are found to depend on the ratio of fluid layer thicknesses, the ratio of interlayer thickness to total fluid layer thickness, and the ratio of fluid thermal conductivity to interlayer thermal conductivity. Results are given for a range of values of each of the governing parameters.

Capillary Instability of Viscoelastic Liquid Film With Heat and Mass Transfer

2019 ◽  
Vol 142 (2) ◽  
Author(s):  
Mukesh Kumar Awasthi
Keyword(s):  
Heat Transfer ◽  
Mass Transfer ◽  
Viscoelastic Liquid ◽  
Capillary Instability ◽  
Viscous Potential Flow ◽  
Viscous Gas ◽  
Coaxial Cylinders ◽  
Fluid Layers ◽  
The Stability ◽  
Two Fluid

Abstract This paper examines the effect of transfer of heat and mass on the capillary instability between a viscoelastic liquid and a viscous gas. The viscoelastic liquid obeys the Oldroyd B-model. These two fluid layers considered in coaxial cylinders and viscoelastic–viscous potential flow theory are used for investigation. To study the stability of the interface, the normal-mode procedure is employed and a cubic dispersion equation in terms of growth rate has been obtained. We observe that the viscoelastic liquid–viscous gas interface is more unstable than the viscous liquid–viscous gas interface. Additionally, we show that the unstable axisymmetric wave modes are stabilized by allowing heat transfer at the interface.

scholarly journals An Analysis of Two Fluid Layers Enclosed Between Two Non-Porous Surfaces

2022 ◽  
Vol 17 ◽  
pp. 29-33
Author(s):  
Asad Salem
Keyword(s):  
Thin Sheet ◽  
Phase Interface ◽  
Complete Analysis ◽  
Hydrodynamic Models ◽  
Two Phase ◽  
Linearized Stability ◽  
Fluid Layers ◽  
The Stability ◽  
Droplet Size Distributions ◽  
Two Fluid

The stability of a two-phase interface is a crucial occurrence that involves the design of many engineering applications. It correlates the spatial and droplet size-distributions of many fluid spraying applications and has a great effect on the estimations of the critical heat flux of systems that involves phase change or evaporation. However, the existing hydrodynamic models are only able to predict the stability of a plane fluid sheet, surrounded by an infinite pool of liquid. The case of a thin sheet of liquid surrounding a vapor sheet and enclosed between two walls has not been studied yet. The present paper solves this problem using a linearized stability analysis. Velocity potentials satisfying these conditions are introduced and a complete analysis is presented.

scholarly journals Mathematical study on two-fluid model for flow of K–L fluid in a stenosed artery with porous wall

2021 ◽  
Vol 3 (4) ◽  
Author(s):  
R. Ponalagusamy ◽  
Ramakrishna Manchi
Keyword(s):  
Theoretical Study ◽  
Fluid Model ◽  
Porous Wall ◽  
Governing Equations ◽  
Rate Of Increase ◽  
Special Cases ◽  
Stenosed Artery ◽  
Flow Through ◽  
Two Fluid Model ◽  
Two Fluid

AbstractThe present communication presents a theoretical study of blood flow through a stenotic artery with a porous wall comprising Brinkman and Darcy layers. The governing equations describing the flow subjected to the boundary conditions have been solved analytically under the low Reynolds number and mild stenosis assumptions. Some special cases of the problem are also presented mathematically. The significant effects of the rheology of blood and porous wall of the artery on physiological flow quantities have been investigated. The results reveal that the wall shear stress at the stenotic throat increases dramatically for the thinner porous wall (i.e. smaller values of the Brinkman and Darcy regions) and the rate of increase is found to be 18.46% while it decreases for the thicker porous wall (i.e. higher values of the Brinkman and Darcy regions) and the rate of decrease is found to be 10.21%. Further, the streamline pattern in the stenotic region has been plotted and discussed.

The Effects of Interactions of Dicarboxylic Acids on the Stability of the Caffeine Molecule: A Theoretical Study

2014 ◽  
Vol 87 (10) ◽  
pp. 1116-1123 ◽  
Author(s):  
Abolfazl Azizi ◽  
Ali Ebrahimi ◽  
Mostafa Habibi-Khorassani ◽  
Shiva Rezazadeh ◽  
Roya Behazin
Keyword(s):  
Theoretical Study ◽  
Dicarboxylic Acids ◽  
The Stability

Theoretical Study on the Stability and Aromaticity of Metallasilapentalynes

2014 ◽  
Vol 33 (7) ◽  
pp. 1845-1850 ◽  
Author(s):  
Xuerui Wang ◽  
Congqing Zhu ◽  
Haiping Xia ◽  
Jun Zhu
Keyword(s):  
Theoretical Study ◽  
The Stability

Study of the Stability and Chemical Reactivity of a Series of Tetrazole Pyrimidine Hybrids by the Density Functional Theory Method (DFT)

2021 ◽  
Vol 37 (4) ◽  
pp. 805-812
Author(s):  
Ahissandonatien Ehouman ◽  
Adjoumanirodrigue Kouakou ◽  
Fatogoma Diarrassouba ◽  
Hakim Abdel Aziz Ouattara ◽  
Paulin Marius Niamien
Keyword(s):  
Density Functional ◽  
Theoretical Study ◽  
Molecular Descriptors ◽  
Chemical Reactivity ◽  
Density Functional Theory Method ◽  
Functional Theory ◽  
Reactivity Descriptors ◽  
The Density Functional Theory ◽  
The Stability ◽  
Global Reactivity Descriptors

Our theoretical study of stability and reactivity was carried out on six (06) molecules of a series of pyrimidine tetrazole hybrids (PTH) substituted with H, F, Cl, Br, OCH3 and CH3 atoms and groups of atoms using the density function theory (DFT). Analysis of the thermodynamic formation quantities confirmed the formation and existence of the series of molecules studied. Quantum chemical calculations at the B3LYP / 6-311G (d, p) level of theory determined molecular descriptors. Global reactivity descriptors were also determined and analyzed. Thus, the results showed that the compound PTH_1 is the most stable, and PTH_5 is the most reactive and nucleophilic. Similarly, the compound PTH_4 is the most electrophilic. The analysis of the local descriptors and the boundary molecular orbitals allowed us to identify the preferred atoms for electrophilic and nucleophilic attacks.

scholarly journals 3P141 Theoretical study on the stability of amphiphile aggregates: RISM approach

2005 ◽  
Vol 45 (supplement) ◽  
pp. S239
Author(s):  
T. Miyata ◽  
F. Hiratra
Keyword(s):  
Theoretical Study ◽  
The Stability

THEORETICAL STUDY OF SANDWICH COMPLEXES [Fe(η4 - E4)2]2- (E = N, P, As, Sb, AND Bi)

2007 ◽  
Vol 06 (02) ◽  
pp. 363-376 ◽  
Author(s):  
ZHIWEI LI ◽  
CUNYUAN ZHAO ◽  
LIUPING CHEN
Keyword(s):  
Density Functional ◽  
Theoretical Study ◽  
Sandwich Complexes ◽  
Functional Theory ◽  
Atomic Orbitals ◽  
Orbital Interactions ◽  
The Stability ◽  
Equilibrium Geometries ◽  
Orbital Analysis ◽  
Iron Center

The equilibrium geometries, energies, harmonic vibrational frequencies, stability, and aromaticities for the [Formula: see text], E 4 Fe , and [ Fe (η4 - E 4)2]2- ( E = N, P, As, Sb, and Bi ) species are studied using density functional theory (DFT). The ground states of the E 4 Fe and [ Fe (η4 - E 4)2]2- systems are predicted to be Cs and D4d structures, respectively. Orbital analysis indicates that the orbital interactions between the π orbitals of the ligands and the atomic orbitals of the d 6 iron center are the main bonding scheme for these [ Fe (η4 - E 4)2]2- (D4d) complexes. The stability of the [ Fe (η4 - E 4)2]2- complexes exhibits the order P > As > Sb > Bi > N for E. On the basis of comparison with the known ferrocene, the NICS analysis confirms that the [ Fe (η4 - E 4)2]2- (D4d) as well as ferrocene are aromatic. The dissected NICS reveals that the aromaticities of the [ Fe (η4 - E 4)2]2- (D4d) are primarily attributed to the effects of their E–E π bonds and Fe lone pairs.

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