scholarly journals MHD flow of longitudinal and torsional oscillations of a circular cylinder with suction in a couple stress fluid

2013 ◽  
Vol 18 (4) ◽  
pp. 1099-1114 ◽  
Author(s):  
G. Nagaraju ◽  
J.V. Ramana Murthy
Keyword(s):  
Circular Cylinder ◽  
Couple Stress ◽  
Magnetic Parameter ◽  
Mhd Flow ◽  
Couple Stress Fluid ◽  
Radial Magnetic Field ◽  
Suction Parameter ◽  
Torsional Oscillations ◽  
Electrically Conducting ◽  
Constant Suction

Abstract In this paper, we consider the flow an incompressible electrically conducting couple stress fluid generated by performing longitudinal and torsional oscillations of a porous circular cylinder subjected to constant suction/injection at the surface of the cylinder and in the presence of a radial magnetic field. A finite difference method is proposed to analyze the velocity components, in an infinite expansion of a couple stress fluid under vanishing couple stresses on the boundary. The effects of the magnetic parameter, couple stress parameter, Reynolds number, the ratio of couple stress viscosities parameter and suction parameter on velocity components and drag are discussed and shown graphically.

scholarly journals Flow generated due to longitudinal and torsional oscillations of a circular cylinder with suction/injection in a micropolar fluid

2012 ◽  
Vol 43 (3) ◽  
pp. 339-356 ◽  
Author(s):  
Ramana Murthy Venkata Josyula ◽  
Nagaraju Gajjela ◽  
Muthu Poosnar
Keyword(s):  
Reynolds Number ◽  
Circular Cylinder ◽  
Micropolar Fluid ◽  
Couple Stress ◽  
Porous Cylinder ◽  
Suction Parameter ◽  
Torsional Oscillations ◽  
Viscosity Parameter ◽  
Constant Suction ◽  
Incompressible Micropolar Fluid

The flow generated by performing longitudinal and torsional oscillations of a porous circular cylinder which is subjected to constant suction/injection at the surface of the porous cylinder is studied. A finite difference method is proposed to analyse the velocity components and micro-rotation components, in an infinite expanse of an incompressible micropolar fluid. The effects of cross viscosity parameter, couple stress parameter, Reynolds number and Gyration parameter on the axial and torsional velocity components and on the micro-rotation components are shown graphically. Drag force acting on the wall of the cylinder is derived and the effects of micropolar parameters and suction parameter on the drag are shown graphically.

scholarly journals Effects of Viscous and Joules Dissipation on MHD Flow, Heat and Mass Transfer past a Stretching Porous Surface Embedded in a Porous Medium

2009 ◽  
Vol 14 (3) ◽  
pp. 303-314 ◽  
Author(s):  
S. P. Anjali Devi ◽  
B. Ganga
Keyword(s):  
Porous Medium ◽  
Magnetic Parameter ◽  
Transverse Velocity ◽  
Longitudinal Velocity ◽  
Mhd Flow ◽  
Analytic Solutions ◽  
Skin Friction Coefficient ◽  
Porous Surface ◽  
Suction Parameter ◽  
Confluent Hypergeometric Functions

This paper investigates the influence of both viscous and joules dissipation on the problem of magnetohydrodynamic flow past a stretching porous surface embedded in a porous medium. Analytic solutions of the resulting nonlinear non-homogeneous boundary value problem in the case when the plate stretches with a velocity varying linearly with distance, expressed in terms of confluent hypergeometric functions, are presented for the case of prescribed surface temperature. Numerical calculations have been carried out for various values of suction parameter, magnetic field, Prandtl number, Eckert number and Schmidt number. The results show that increases in magnetic parameter decrease both the dimensionless transverse velocity, longitudinal velocity and also the skin friction coefficient. Also, formation of thin boundary layer is observed for higher value of magnetic parameter.

Porous exponential slider bearings lubricated with MHD-couple stress fluid

2018 ◽  
Vol 70 (5) ◽  
pp. 838-845 ◽  
Author(s):  
N.B. Naduvinamani ◽  
Shridevi S. Hosmani
Keyword(s):  
Couple Stress ◽  
Numerical Solutions ◽  
Transverse Magnetic ◽  
Operating Conditions ◽  
Couple Stress Fluid ◽  
Content Type ◽  
Electrically Conducting ◽  
Slider Bearings ◽  
Load Carrying ◽  
First Time

Purpose The purpose of this study is to examine the magneto-hydrodynamic (MHD) effect on porous exponential slider bearings lubricated with couple stress fluid and to derive the modified Reynolds’s equation for non-Newtonian fluid under various operating conditions to obtain the optimum bearing parameters. Design/methodology/approach Based upon the MHD theory and Stokes theory for couple stress fluid, the governing equations relevant to the problem under consideration are derived. This paper analyzes the effect on porous exponential slider bearings with an electrically conducting fluid in the presence of a transverse magnetic field. Semi-numerical solutions are obtained and discussed. Findings It is found that there is an increase in the load carrying capacity, frictional force and decrease in the co-efficient of friction in porous bearings due to the presence of magnetic effects with couple stress fluid. Originality/value This study is relatively original and gives the MHD effect on porous exponential slider bearings lubricated with couple stress fluid. The author believes that the paper presents these results for the first time.

Biconvective transport of magnetized couple stress fluid over a radiative paraboloid of revolution

2022 ◽  
pp. 095440892110727
Author(s):  
K. Gangadhar ◽  
P. Manasa Seshakumari ◽  
M. Venkata Subba Rao ◽  
Ali J. Chamkha
Keyword(s):  
Boundary Layer ◽  
Couple Stress ◽  
Mhd Flow ◽  
Double Diffusion ◽  
Local Heat ◽  
Couple Stress Fluid ◽  
Transfer Rates ◽  
Similarity Transformations ◽  
Paraboloid Of Revolution ◽  
Physical Features

In the present study, the physical features of the bioconvective MHD flow of a couple stress fluid over an upper horizontal surface (i.e. surface shaped like a submarine or any ( uhsp) aerodynamical automobile) is analysed by considering radiation and viscous dissipation effects. In the fluid-saturated domain flow is induced due to the reaction of catalytic surface, double diffusion and stretching fluid layers. In fact, couple stress fluid is electrically conducted because non-uniform magnetic field is imposed. With the assistance of appropriate similarity transformations governing equations of the study are reduced to set of ordinary differential equations. Thereafter, built-in MATLAB solver bvp4c is implemented to solve the system numerically. By means of graphs and tables variations of the velocity, temperature, concentration, friction factor, local heat and mass transfer rates are observed thoroughly by varying the flow controlling parameters. From this analysis, main observations are, for rising values of couple stress and magnetic parameter velocity is decline, whereas temperature rises for the same parameters and increase in the thermal boundary layer is noted for the Brinkman number, whereas reverse trend is noted in the concentration boundary layer. Finally, comparison is done and a good correlation is identified between the present analysis and perversely recorded analysis.

Effects of Mixed Convection on the Oscillatory Flow of a Couple Stress Fluid through a Vertical Plate with Variable Fluid Properties

2018 ◽  
Vol 388 ◽  
pp. 328-343
Author(s):  
R. Suresh Babu ◽  
B. Rushi Kumar ◽  
P.A. Dinesh
Keyword(s):  
Magnetic Field ◽  
Couple Stress ◽  
Vertical Plate ◽  
Couple Stress Fluid ◽  
Electrically Conducting ◽  
Coupled Equations ◽  
Variable Permeability ◽  
Variable Fluid Properties ◽  
Fluid Properties ◽  
Dimensional Parameters

A numerical computation has been carriedout for the steady, mixed convective, incompressible, viscous, electrically conducting couple stress fluid through a vertical plate with variable fluid properties in a porous medium. A uniform magnetic field is applied in the transverse direction and parallel to the vertical plate of the physical model and governing equations are derived for it."Using a suitable similarity transformation, governed PDE's are transformed into a set of ODE's which are highly non-linear coupled equations. An advanced Shooting technique is adopted to compute the variations of velocity, temperature, concentration in terms of non-dimensional parameters. Also physical interpretation of non-dimensional parameters like couple stress parameter magnetic field Prandtl number Schmidt number thermal conductivity and solutal diffusivity parameters are examined through plots for both variable permeability and uniform permeability."From the numerical results, an excellent agreement has been observed for the present results, as well as comparison is made between the present and the earlier works for a particular case of the problem.

Spectral approach to study the entropy generation of radiative mixed convective couple stress fluid flow over a permeable stretching cylinder

2020 ◽  
pp. 095440622095489
Author(s):  
Nilankush Acharya ◽  
Hiranmoy Mondal ◽  
Prabir Kumar Kundu
Keyword(s):  
Entropy Generation ◽  
Couple Stress ◽  
Magnetic Parameter ◽  
Linearization Method ◽  
Stress Factor ◽  
Couple Stress Fluid ◽  
Bejan Number ◽  
Convective Condition ◽  
Dual Effect ◽  
Flow Features

The present literature illustrates the radiative couple stress fluid runs over a permeable stretched cylinder. The problem has been modelled mathematically introducing the mixed convective condition and magnetic effect. Additionally, the analysis of entropy generation provides the fine points of the flow. The leading PDE equations of the system have been framed non-dimensionally using proper transformation. The resulting ODEs are tackled using by Spectral quasi-linearization method (SQLM). A convergence schematic was obtained graphically. Consequence of various parameters on the flow features has been delivered via graphs and tables. Result signifies that Bejan number declines due to magnetic source. The entropy generation escalates for magnetic parameter, Reynolds number, but couple stress factor discloses the dual effect. The couple stress parameter allows Nusselt number to reduce at the rate 19.05%, whereas heat transport enhances for radiation at the rate 1.67%. Skin friction enhances for couple stress factor at the rate 8.45%.

scholarly journals Exact solutions for MHD flow of couple stress fluid with heat transfer

2016 ◽  
Vol 24 (1) ◽  
pp. 125-129 ◽  
Author(s):  
Najeeb Alam Khan ◽  
Hassam Khan ◽  
Syed Anwar Ali
Keyword(s):  
Heat Transfer ◽  
Exact Solutions ◽  
Couple Stress ◽  
Mhd Flow ◽  
Couple Stress Fluid

scholarly journals Soret effects due to natural convection in a non-Newtonian fluid flow in porous medium with heat and mass transfer

2014 ◽  
Vol 11 (2) ◽  
pp. 147-156 ◽  
Author(s):  
M.C Raju ◽  
S.V.K Varma
Keyword(s):  
Magnetic Field ◽  
Porous Medium ◽  
Fluid Flow ◽  
Newtonian Fluid ◽  
Porous Plate ◽  
Sink Strength ◽  
Suction Parameter ◽  
Electrically Conducting ◽  
Highly Nonlinear ◽  
Constant Suction

The problem of unsteady MHD free convective, incompressible electrically conducting, non-Newtonian fluid through porous medium bounded by an infinite porous plate in the presence of constant suction has been studied. A magnetic field of uniform strength is assumed to be applied normal to the plate. The equations governing the fluid flow which are highly nonlinear are reduced to linear by using perturbation method and have been solved subject to the relevant boundary conditions. It is noted that the velocity of the fluid is increased as Soret number and suction parameter increase, whereas reverse phenomenon is observed in case of magnetic field strength and sink strength. DOI: http://dx.doi.org/10.3329/jname.v11i2.17563

PERISTALTIC FLOW OF COUPLE-STRESS FLUID WITH HEAT AND MASS TRANSFER: AN APPLICATION IN BIOMEDICINE

2015 ◽  
Vol 15 (04) ◽  
pp. 1550042 ◽  
Author(s):  
S. HINA ◽  
M. MUSTAFA ◽  
T. HAYAT ◽  
A. ALSAEDI
Keyword(s):  
Mass Transfer ◽  
Heat And Mass Transfer ◽  
Couple Stress ◽  
Amplitude Ratio ◽  
Circulatory System ◽  
Particle Size Effect ◽  
Couple Stress Fluid ◽  
Electrically Conducting ◽  
Fluid Parameter ◽  
Compliant Walls

Analysis is performed for the simultaneous effects of heat and mass transfer on the peristaltic transport of an electrically conducting couple-stress fluid in a compliant walls channel. The study may be useful in understanding the physiological flow of blood through micro-circulatory system in the presence of particle-size effect. Long wavelength and low Reynolds number aspects are taken into consideration. Exact solutions for stream function, temperature and concentration are derived. Impact of pertinent parameters like the couple-stress fluid parameter (γ), Hartman number (M), amplitude ratio (ϵ), elastic parameters (E1, E2, E3, E4, E5), Brinkman number (Br) and Schmidt number (Sc). It is observed that velocity and temperature distributions are greater for couple stress fluid when compared with the Newtonian fluid.

scholarly journals Analytical solution of MHD free convective flow of couple stress fluid in an annulus with Hall and ion-slip effects

2011 ◽  
Vol 16 (4) ◽  
pp. 477-487 ◽  
Author(s):  
Darbhashayanam Srinivasacharya ◽  
Kolla Kaladhar
Keyword(s):  
Differential Equations ◽  
Couple Stress ◽  
Circular Cylinders ◽  
Couple Stress Fluid ◽  
Electrically Conducting ◽  
Linear Partial Differential Equations ◽  
Similarity Transformations ◽  
Slip Effects ◽  
Homotopy Analysis ◽  
Ion Slip

This paper presents the Hall and Ion-slip effects on electrically conducting couple stress fluid flow between two circular cylinders in the presence of a temperature dependent heat source. The governing non-linear partial differential equations are transformed into a system of ordinary differential equations using similarity transformations and then solved using homotopy analysis method (HAM). The effects of the magnetic parameter, Hall parameter, Ion-slip parameter and couple stress fluid parameter on velocity and  temperature are discussed and shown graphically.

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