The effect of temperature/gravity modulation on finite amplitude cellular convection with variable viscosity effect

2021 ◽  
Author(s):  
A. S. Aruna ◽  
V. Kumar ◽  
M. S. Basavaraj
Keyword(s):  
Variable Viscosity ◽  
Finite Amplitude ◽  
Effect Of Temperature ◽  
Gravity Modulation ◽  
Viscosity Effect

scholarly journals Effect of Variable Viscosity and Gravity Modulation on Linear and Non-Linear Rayleigh-Benard Convection in Viscoelastic Ferromagnetic Liquids

2020 ◽  
Vol 9 (3) ◽  
pp. 3482-3488
Keyword(s):  
Stability Analysis ◽  
Heat Transport ◽  
Linear Stability ◽  
Linear Stability Analysis ◽  
Variable Viscosity ◽  
Low Frequency ◽  
Physical Parameters ◽  
Gravity Modulation ◽  
Non Linear ◽  
The Individual

The combined effect of various parameters of gravity modulation on the onset of ferroconvection is studied for both linear and non-linear stability. The effect of various parameters of ferroconvection is studied for linear stability analysis. The resulting seven-mode generalized Lorenz model obtained in non-linear stability analysis is solved using Runge -Kutta-Felberg 45 method to analyze the heat transfer. Consequently the individual effect of gravity modulation on heat transport has been investigated. Further, the effect of physical parameters on heat transport has been analyzed and depicted graphically. The low-frequency gravity modulation is observed to get an effective influence on the stability of the system. Therefore ferro convection can be advanced or delayed by controlling different governing parameters. It shows that the influence of gravity modulation stabilizes system.

Nonlinear Thermal Instability in a Rotating Viscous Fluid Layer Under Temperature/Gravity Modulation

2012 ◽  
Vol 134 (10) ◽  
Author(s):  
B. S. Bhadauria ◽  
P. G. Siddheshwar ◽  
Om P. Suthar
Keyword(s):  
Viscous Fluid ◽  
Heat Transport ◽  
Thermal Instability ◽  
Fluid Layer ◽  
Landau Equation ◽  
Effect Of Temperature ◽  
Stationary Mode ◽  
Gravity Modulation ◽  
Nonlinear Stability Analysis ◽  
Weakly Nonlinear

In the present paper, the effect of time-periodic temperature/gravity modulation on the thermal instability in a rotating viscous fluid layer has been investigated by performing a weakly nonlinear stability analysis. The disturbances are expanded in terms of power series of amplitude of modulation, which has been assumed to be small. The amplitude equation, viz., the Ginzburg–Landau equation, for the stationary mode of convection is obtained and using the same, the effect of temperature/gravity modulation on heat transport has been investigated. The stability of the system is studied and the stream lines are plotted at different slow times as a function of the amplitude of modulation, Rossby number, and Prandtl number. It is found that the temperature/gravity modulation can be used as an external means to augment/diminish heat transport in a rotating system. Further, it is shown that rotation can be effectively used in regulating heat transport.

Variable Viscosity Effect on MHD Peristaltic Flow of Pseudoplastic Fluid in a Tapered Asymmetric Channel

2016 ◽  
Vol 34 (3) ◽  
pp. 363-374 ◽  
Author(s):  
T. Hayat ◽  
R. Iqbal ◽  
A. Tanveer ◽  
A. Alsaedi
Keyword(s):  
Pressure Gradient ◽  
Variable Viscosity ◽  
Pressure Rise ◽  
Peristaltic Flow ◽  
Asymmetric Channel ◽  
Pseudoplastic Fluid ◽  
Viscosity Effect ◽  
Tapered Channel

AbstractInfluence of variable viscosity the peristaltic flow of pseudoplastic fluid in a tapered channel is discussed. The effects of magnetohydrodynamics (MHD) are also studied. Asymmetric channel is considered. The relevant problem is first formulated and then non-dimensionalized. The nonlinear different system subject to lubrication approach is solved. Expressions for pressure gradient, pressure rise and velocity are constructed. Graphs reflecting the variations of sundry parameters on pressure rise and velocity are examined. Trapping and pumping phenomena are also studied.

scholarly journals Effect of Temperature-Dependent Variable Viscosity on Magnetohydrodynamic Natural Convection Flow along a Vertical Wavy Surface

2011 ◽  
Vol 2011 ◽  
pp. 1-10 ◽  
Author(s):  
Nazma Parveen ◽  
Md. Abdul Alim
Keyword(s):  
Heat Transfer ◽  
Natural Convection ◽  
Friction Coefficient ◽  
Skin Friction ◽  
Variable Viscosity ◽  
Skin Friction Coefficient ◽  
Effect Of Temperature ◽  
Convection Flow ◽  
Temperature Dependent ◽  
Natural Convection Flow

The effect of temperature dependent variable viscosity on magnetohydrodynamic (MHD) natural convection flow of viscous incompressible fluid along a uniformly heated vertical wavy surface has been investigated. The governing boundary layer equations are first transformed into a nondimensional form using suitable set of dimensionless variables. The resulting nonlinear system of partial differential equations are mapped into the domain of a vertical flat plate and then solved numerically employing the implicit finite difference method, known as Keller-box scheme. The numerical results of the surface shear stress in terms of skin friction coefficient and the rate of heat transfer in terms of local Nusselt number, the stream lines and the isotherms are shown graphically for a selection of parameters set consisting of viscosity parameter (), magnetic parameter (), and Prandtl number (Pr). Numerical results of the local skin friction coefficient and the rate of heat transfer for different values are also presented in tabular form.

The effects of temperature-dependent viscosity and the instabilities in convection rolls of a layer of fluid-saturated porous medium

1989 ◽  
Vol 206 ◽  
pp. 497-515 ◽  
Author(s):  
A. C. Or
Keyword(s):  
Porous Medium ◽  
Variable Viscosity ◽  
Saturated Porous Medium ◽  
Horizontal Layer ◽  
Finite Amplitude ◽  
Mean Flow ◽  
Temperature Dependent ◽  
Temperature Dependent Viscosity ◽  
Fluid Saturated Porous Medium ◽  
Dependent Viscosity

Convection of two-dimensional rolls in an infinite horizontal layer of fluid-saturated porous medium heated from below is studied numerically. Several important finite-amplitude states are isolated, and their bifurcation properties are shown. Effects of the temperature-dependent viscosity are included. The stability of these states is investigated with respect to the class of disturbances that have a ½π phase shift relative to the basic state. In particular, the oscillatory mechanism and the mean-flow generating mechanism through the variable viscosity are discussed.

scholarly journals Boundary Layer Flow of Dusty Williamson Fluid with Variable Viscosity Effect Over a Stretching Sheet

2021 ◽  
Vol 86 (1) ◽  
pp. 164-175
Author(s):  
Nur Syamilah Arifin ◽  
Abdul Rahman Mohd Kasim ◽  
Syazwani Mohd Zokri ◽  
Mohd Zuki Salleh
Keyword(s):  
Boundary Layer ◽  
Boundary Layer Flow ◽  
Stretching Sheet ◽  
Variable Viscosity ◽  
Numerical Results ◽  
Phase Flow ◽  
Two Phase ◽  
Williamson Fluid ◽  
Viscosity Effect ◽  
Layer Flow

Numerical investigation of the boundary layer flow of Williamson fluid with the presence of dust particles over a stretching sheet is carried out by taking into account the variable viscosity effect and Newtonian heating boundary condition. The genuinely two-phase flow model which has been proved to be compatible to present the mutual relationship between non-Newtonian fluid and solid particles is considered in this present study. To be precise, the governing equations are initially transformed into ordinary differential equations through formulation process before proceeding further with the numerical computation by using Keller-box method. The resulting equations are then programmed in Matlab software. The obtained numerical results are validated with existing study found in open literature and a good agreement is achieved. The influence of pertinent parameters on velocity and temperature profiles, skin friction coefficient together with Nusselt number is presented in graphical and tabular forms. Results revealed that the increasing Williamson parameter decreases the fluid velocity of both fluid and dust phases. It is expected that the present numerical results could conceivably help in predicting the boundary layer problem arising in two-phase flow in the future.

Variable Viscosity Effect on the Laminar Water Boundary Layer on Heated Cones

1978 ◽  
Vol 45 (3) ◽  
pp. 481-486 ◽  
Author(s):  
L.-S. Yao
Keyword(s):  
Heat Transfer ◽  
Boundary Layer ◽  
Shear Stress ◽  
Pressure Gradient ◽  
Variable Viscosity ◽  
Fluid Flows ◽  
Temperature Dependent ◽  
Viscosity Effect ◽  
Favorable Pressure Gradient ◽  
Half Angle

Heat transfer and shear stress may be significantly affected by buoyancy-forced and associated free-convection motions in many forced-convection flows. A crossflow is induced when a uniform, horizontal stream passes along a heated, axisymmetric slender body. The crossflow effects on heat transfer and shear stress grow as the fluid flows downstream, and eventually become one of the dominant mechanisms even for a moderate-speed forced-convection flow. Early study of the longitudinal cylinder flow showed that the crossflow may destabilize the boundary layer and degrade the heat transfer over the upper half of the body. On the other hand, heating can be used to stabilize the water boundary layer due to its temperature-dependent viscosity, since (dμ/dT) of water is negative. However, the influences of the pressure gradient on the destabilizing crossflow effect and on the stabilizing variable-viscosity effect have never been studied before. It is important to know the interaction of the buoyancy-force effect and the variable-viscosity effect under the non-zero pressure gradient conditions in stabilizing the boundary layer by heating. In this paper a similarity solution is presented for a three-dimensional boundary layer on a heated cone to stimulate the water flow past the forward part of an axisymmetric slender body. The numerical solutions of the ordinary differential equations reduced by the similarity transformation are presented in the region near the vertex of the cone. The results indicate that the crossflow grows as the fluid flows downstream for the cone of its half angle less than 66.25°. For a cone of its half angle larger than 66.25°, the magnitude of the crossflow is about the same order as that of the axial flow in the neighborhood of the cone vertex and is suppressed by the favorable pressure gradient as the fluid moves downstream. The effect of the temperature-dependent water viscosity has been shown to enhance the favorable pressure-gradient effects and to counterbalance the crossflow effects.

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