Effect of magnetic field-dependent viscosity on revolving ferrofluid

Sultan

International Journal of Chemical Reactor Engineering

2015

The present paper deals with the effect of surface heat and mass transfer on magnetohydrodynamic flow of Powell-Eyring fluid over a vertical stretching sheet. The effects of thermophoresis, Joule heating and chemical reaction are also considered. The governing non-linear partial differential equations of the model are transformed into coupled non-linear ordinary differential equations using a similarity transformation and solved numerically by Runge-Kutta method and analytically by homotopy analysis method (HAM). The convergence is carefully checked by plotting h-curves. For different dimensionless parameters, numerical and analytical calculations are carried out and an investigation of the obtained results shows that the flow field is influenced considerably by the buoyancy ratio and thermal radiation, chemical reaction and magnetic field parameters. A totally analytical and consistently applicable solution is derived which agrees with numerical results.

Section: Introductionmentioning

confidence: 99%

Heat and Mass Transfer of Thermophoretic MHD Flow of Powell–Eyring Fluid over a Vertical Stretching Sheet in the Presence of Chemical Reaction and Joule Heating

Sultan

International Journal of Chemical Reactor Engineering

2015

International Journal of Applied Mechanics and Engineering

“…This leads to convection of the ferrofluid in the presence of the magnetic field gradient. Sunil et al [21] studied the effect of magnetic field-dependent viscosity on thermosolutal convection in a ferromagnetic fluid saturating a porous medium. Sunil et al [22] discussed the influence of rotation on medium permeability and how MFD viscosity affects the magnetization in ferromagnetic fluid heated from below in the presence of dust particles saturating a porous medium of very low permeability using the Darcy model.…”

Section: Introductionmentioning

confidence: 99%

“…Ram et al [25] solved the non-linear differential equations under Neuringer-Rosensweig model for the ferrofluid flow by using power series approximations and discussed the effect of magnetic field-dependent viscosity on the velocity components and pressure profile. The effect of negative viscosity on the ferrofluid flow due to a rotating disk under alternating magnetic field is studied by Ram et al [26][27].…”

Section: Introductionmentioning

confidence: 99%

Ferrofluid flow due to a rotating disk in the presence of a non-uniform magnetic field

Bhandari¹,

Kumar²

2016

The flow of a ferrofluid due to a rotating disk in the presence of a non-uniform magnetic field in the axial direction is studied through mathematical modeling of the problem. Contour and surface plots in the presence of 10 kilo-ampere/meter, 100 kilo-ampere/meter magnetization force are presented here for radial, tangential and axial velocity profiles, and results are also drawn for the magnetic field intensity. These results are compared with the ordinary case where magnetization force is absent.

Int. J. Appl. Mechanics

“…Nanjundappa et al [2010] studied Benard-Marangoni ferroconvection in a ferrofluid layer in the presence of a uniform vertical magnetic field with MFD viscosity. Ram et al [2010] and Ram and Sharma [2011] solved the nonlinear differential equations under NeuringerRosensweig model for ferrofluid flow by using power series approximations and discussed the effect of MFD viscosity and porosity on the velocity components and pressure profile. Han et al [2011] used the principles of non-equilibrium thermodynamics to describe the magneto-viscoelastic properties of ferrogel in uniform and nonuniform magnetic fields.…”

Section: Introductionmentioning

confidence: 99%

Swirling Flow of Field Dependent Viscous Ferrofluid Over a Porous Rotating Disk With Heat Transfer

Ram

Kumar

2014

Self Cite

The purpose of present study is to investigate the effects of field dependent viscosity on swirling flow of an incompressible electrically non-conducting ferrofluid over a porous rotating disk with suction and heat transfer at the wall. Karman's similarity transformations are used to convert the governing boundary layer equations involved in the problem to a system of nonlinear coupled differential equations. The solution of this system is obtained by using a second-order numerical scheme which combines the features of Finite Difference method and Newton's zero finding algorithms. The flow characteristics including velocity and temperature profiles and boundary layer displacement thickness are studied for various values of MFD (magnetic field dependent) viscosity and suction parameter. Beside these, skin friction coefficients and the rate of heat transfer are also calculated on the surface of the disk. Magnetic field dependent viscosity and suction at the surface of porous rotating disk affect significantly the velocity and temperatures fields, rate of heat transfer and other flow characteristics in the generated ferrofluid boundary layer.