Recent Trends in Fluid Mechanics
Volume 5, Issue 1 (2018)
Published
Table of contents
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Effect of Throughflow on the Onset of Electro-Thermo Convection in a Micropolar Fluid with Maxwell-Cattaneo Law
Abstract: AbstractThe effect of throughflow on the onset of Electro-thermo convection in a micropolar fluid with Maxwell-Cattaneo law is studied using the linear theory. The eigenvalue is obtained for free-free, rigid-rigid and rigid-free velocity boundary combinations with isothermal and adiabatic on the spin-vanishing boundaries using galerkin technique. The influence of Peclet number, Electric Rayleigh number and various micropolar fluid parameters on the onset of convection has been analyzed. It is found …
Published in Recent Trends in Fluid Mechanics · Vol. 5, Issue 1, 2018 · pp. 1–17 Read article
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Linear Stability Analysis on the Onset of Rayleigh-Bénard Convection in A Second-Order Fluid with Maxwell-Cattaneo Law under the Effect of Non-Uniform Temperature Gradient
Abstract: AbstractA Linear stability analysis is performed to study the effect of non-uniform temperature gradient on the onset of Rayleigh-Bénard convection in a second order fluid with Maxwell-Cattaneo law. The eigenvalue is obtained for general boundary condition on velocity and temperature using Galerkin technique. The influence of various parameters on the onset of convection has been analyzed. One linear and five non-linear temperature profiles are considered and their comparative influence on …
Published in Recent Trends in Fluid Mechanics · Vol. 5, Issue 1, 2018 · pp. 18–30 Read article
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Effect of Internal Heat Generation on the Onset of Rayleigh-Bѐnard Chandrashekar Convection in a Micropolar Fluid with Maxwell Cattàneo Law
Abstract: AbstractThe effect of result from the substitution of the classical Fourier law by the nonclassical Maxwell-Cattàneo law and influence of internal heat generation on the Rayleigh-Bѐnard Chandrashekar internal heat generation parameter has a significant impact on the thermal mode making the system unstable. The eigen value is obtained for free-free, rigid-free and rigid-rigid velocity boundary combinations with isothermal temperature on the spin-vanishing boundaries. The influence of various micropolar fluid parameters …
Published in Recent Trends in Fluid Mechanics · Vol. 5, Issue 1, 2018 · pp. 31–43 Read article
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Onset of Rayleigh-Bénard Convection in a Micropolar Fluid under the Influence of Temperature Modulation, Electric Field and Internal Heat
Abstract: AbstractThis paper analyses the onset of Rayleigh-Bénard convection in a micropolar fluid subject to an Imposed Time-periodic Boundary Temperature (ITBT) of small amplitude, an AC electric field along with internal heat. The temperature gradient between the walls of the fluid layer consists of a steady part and a time-dependent oscillatory part. The Venezian approach is adopted in arriving at the correction Rayleigh number. The effects of the oscillating temperature field …
Published in Recent Trends in Fluid Mechanics · Vol. 5, Issue 1, 2018 · pp. 44–62 Read article
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Study of Heat Transfer in a Time Dependent Vertically Oscillating Micropolar Liquid
Abstract: AbstractThe study involves the vertical time periodic vibration of the system. This leads to the appearance of a modified gravity term in basic equation, collinear with actual gravity, in the form of a time-periodic field perturbation and is termed as gravity modulation or g-jitter in the literature. The aim of this study is to find the effect of small amplitude of gravity modulation on the onset of thermal convection between …
Published in Recent Trends in Fluid Mechanics · Vol. 5, Issue 1, 2018 · pp. 63–74 Read article
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Thermal Instability in a Second-Order Fluid under the Effects of Suction-Injection-Combination and Maxwell-Cattaneo Law
Abstract: AbstractThe onset of Rayleigh-Bénard convection in a Second-Order fluid under the effects of Suction-Injection-Combination and Maxwell-Cattaneo Law is studied. The classical Fourier law is replaced with the Non-Classical Maxwell-Cattaneo heat flux law in the energy equation. A linear stability analysis is performed to obtain the eigenvalues for free-free isothermal boundary conditions. The influence of the parameters like Cattaneo number, Prandtl number, and Visco-elastic parameter has been analysed and found that …
Published in Recent Trends in Fluid Mechanics · Vol. 5, Issue 1, 2018 · pp. 75–85 Read article