Squeezing flow analysis of MHD micropolar fluid on radial and angular velocity: A semianalytical approach

2019 ◽  
Vol 48 (7) ◽  
pp. 2799-2818
Author(s):  
S. R. Pradhan ◽  
S. Baag ◽  
S. R. Mishra ◽  
M. R. Acharya
Keyword(s):  
Angular Velocity ◽  
Micropolar Fluid ◽  
Flow Analysis ◽  
Squeezing Flow

scholarly journals Peristaltic Flow of a Magneto-Micropolar Fluid: Effect of Induced Magnetic Field

2008 ◽  
Vol 2008 ◽  
pp. 1-23 ◽  
Author(s):  
Kh. S. Mekheimer
Keyword(s):  
Magnetic Field ◽  
Current Distribution ◽  
Micropolar Fluid ◽  
Magnetic Force ◽  
Flow Analysis ◽  
Pressure Rise ◽  
Shear Stresses ◽  
Induced Magnetic Field ◽  
Symmetric Channel ◽  
Axial Pressure Gradient

We carry out the effect of the induced magnetic field on peristaltic transport of an incompressible conducting micropolar fluid in a symmetric channel. The flow analysis has been developed for low Reynolds number and long wavelength approximation. Exact solutions have been established for the axial velocity, microrotation component, stream function, magnetic-force function, axial-induced magnetic field, and current distribution across the channel. Expressions for the shear stresses are also obtained. The effects of pertinent parameters on the pressure rise per wavelength are investigated by means of numerical integrations, also we study the effect of these parameters on the axial pressure gradient, axial-induced magnetic field, as well as current distribution across the channel and the nonsymmetric shear stresses. The phenomena of trapping and magnetic-force lines are further discussed.

HOMOTOPY ANALYSIS OF TRANSIENT MAGNETO-BIO-FLUID DYNAMICS OF MICROPOLAR SQUEEZE FILM IN A POROUS MEDIUM: A MODEL FOR MAGNETO-BIO-RHEOLOGICAL LUBRICATION

2012 ◽  
Vol 12 (03) ◽  
pp. 1250051 ◽  
Author(s):  
O. ANWAR BÉG ◽  
M. M. RASHIDI ◽  
T. A. BÉG ◽  
M. ASADI
Keyword(s):  
Magnetic Field ◽  
Porous Medium ◽  
Angular Velocity ◽  
Differential Equations ◽  
Darcy Number ◽  
Squeeze Film ◽  
Squeezing Flow ◽  
Parallel Plates ◽  
Viscosity Parameter ◽  
Homotopy Analysis

The transient squeezing flow of a magneto-micropolar biofluid in a noncompressible porous medium intercalated between two parallel plates in the presence of a uniform strength transverse magnetic field is investigated. The partial differential equations describing the two-dimensional flow regime are transformed into nondimensional, nonlinear coupled ordinary differential equations for linear and angular momentum (micro-inertia). These equations are solved using the robust Homotopy Analysis Method (HAM) and also numerical shooting quadrature. Excellent correlation is achieved. The influence of magnetic field parameter (Ha) , micropolar spin gradient viscosity parameter (Γ) and unsteadiness parameter (S) on linear and angular velocity (micro-rotation) are presented graphically, for specified values of the micropolar vortex viscosity parameter (R), Darcy number (Da i.e. permeability parameter) and medium porosity parameter (ε). Increasing magnetic field (Ha) serves to decelerate both the linear and angular velocity i.e. enhances lubrication. The excellent potential of HAM in bio-lubrication flows is highlighted.

Bioconvection in a squeezing flow of a micropolar fluid in a horizontal channel

2019 ◽  
Vol 48 (6) ◽  
pp. 2155-2173 ◽  
Author(s):  
D. Srinivasacharya ◽  
I. Sreenath
Keyword(s):  
Micropolar Fluid ◽  
Horizontal Channel ◽  
Squeezing Flow

MHD Squeezing Flow of a Micropolar Fluid Between Parallel Disks

2011 ◽  
Vol 133 (11) ◽  
Author(s):  
T. Hayat ◽  
M. Nawaz ◽  
Awatif A. Hendi ◽  
S. Asghar
Keyword(s):  
Micropolar Fluid ◽  
Weak Interactions ◽  
Skin Friction Coefficient ◽  
Similarity Solutions ◽  
Squeezing Flow ◽  
Analysis Method ◽  
Parallel Disks ◽  
Stress Coefficient ◽  
Homotopy Analysis ◽  
Incompressible Micropolar Fluid

The squeezing flow of an incompressible micropolar fluid between two parallel infinite disks is investigated in the presence of a magnetic flied. An analysis of strong and weak interactions has been carried out. Similarity solutions are derived by homotopy analysis method. The variation of dimensionless velocities are sketched in order to see the influence of pertinent parameters. Skin friction coefficient and wall couple stress coefficient have been tabulated. In addition, the derived results are compared with the homotopy perturbation solution in a viscous fluid.

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