Saima Noreen

EFFECT OF AN INDUCED MAGNETIC FIELD ON PERISTALTIC FLOW OF NON-NEWTONIAN FLUID IN A CURVED CHANNEL

The purpose of this study is to discuss the influence of induced magnetic field on the peristaltic flow of an incompressible third-grade fluid in a curved channel. The problem formulation is presented in a wave frame of reference. The continuity, linear momentum, and induction equations lead to the mathematical development. The relations of stream function, pressure gradient, magnetic force function, induced magnetic field, and current density are developed. The effects of embedded parameters are explained by plots.

Influence of Heat and Mass Transfer on the Peristaltic Transport of a Phan-Thien–Tanner Fluid

In this paper, we discuss the effects of heat and mass transfer on the peristaltic flow in the presence of an induced magnetic field. Constitutive equations of a Phan-Thien-Tanner fluid are utilized in the mathematical description. Mathematical modelling is based upon the laws of mass, linear momentum, energy, and concentration. Relevant equations are simplified using long wavelength and low Reynolds number assumptions. A series solution is presented for small Weissenberg number. Variations of emerging parameters embedded in the flow system are discussed.

INFLUENCE OF AN INDUCED MAGNETIC FIELD ON PERISTALTIC TRANSPORT IN AN ASYMMETRIC CHANNEL

In this study, we investigate the effects of an induced magnetic field on the peristaltic transport of a Phan-Thien-Tanner (PTT) fluid in an asymmetric channel. Asymmetry in the flow is induced because of wave trains with different amplitudes and phases. Development of mathematical analysis is made under long wavelength and low Reynolds number approximations. Explicit expressions of stream function, pressure gradient, magnetic force function, axial induced magnetic field, and current density are derived. Computation of pressure rise is based upon numerical integration. The obtained expressions are carefully analyzed through physical interpretation.

Magnetohydrodynamic Peristaltic Flow of a Pseudoplastic Fluid in a Curved Channel

A mathematical model is developed to examine the effects of an induced magnetic field on the peristaltic flow in a curved channel. The non-Newtonian pseudoplastic fluid model is used to depict the combined elastic and viscous properties. The analysis has been carried out in the wave frame of reference, long wavelength and low Reynolds scheme are implemented. A series solution is obtained through perturbation analysis. Results for stream function, pressure gradient, magnetic force function, induced magnetic field, and current density are constructed. The effects of significant parameters on the flow quantities are sketched and discussed.

THE SLIP AND INDUCED MAGNETIC FIELD EFFECTS ON THE PERISTALTIC TRANSPORT WITH HEAT AND MASS TRANSFER

In this attempt, simultaneous effects of slip condition and an induced magnetic field on the peristaltic flow of viscous fluid in an asymmetric channel is investigated. The whole analysis have been carried out in the presence of heat and mass transfer characteristics. The resulting mathematical model is solved by exploiting the boundary conditions derived from physical point of view. The expressions of the desired flow quantities of interest are derived and discussed. A comparison with no-slip condition is shown.

Effect of an Induced Magnetic Field on the Peristaltic Motion of Phan-Thien-Tanner (PTT) Fluid

This article looks at the influence of an induced magnetic field on peristaltic motion of an incompressible fluid in a planar channel with non-conductive walls. Peristaltic flow is generated by a sinusoidal wave travelling down its walls. The problem formulation in a wave frame of reference moving with velocity of wave is established. Mathematical relations for the stream function, pressure gradient, magnetic force function, and axial induced magnetic field are constructed. The pressure rise and frictional force are discussed by performing numerical integration. Effects of many sundry parameters entering into the governing problem are examined by plotting graphs

Peristaltic Motion of an Oldroyd-B Fluid with Induced Magnetic Field

The problem of peristaltic flow in a channel is solved using the incompressible and magnetohydrodynamic (MHD) Oldroyd-B fluid. The induced magnetic field effects are incorporated in the mathematical modeling. Computations are performed for the small wave number. The obtained mathematical results show that the induced magnetic field effects taken into account in the model substantially affect the flow quantities. It is found that relaxation and retardation times have opposite effects on the flow quantities such as velocity and pressure rise. Moreover, it is observed that induced magnetic field and current density are larger for Oldroyd-B fluid than for the viscous fluid. The salient features of the emerging flow parameters are examined by graphs.

Induced Magnetic Field Effects on Peristaltic Flow in a Curved Channel

Abstract The peristaltic flow of an incompressible viscous fluid in a curved channel is investigated. The flow analysis is conducted in the presence of an induced magnetic field. A long-wavelength and low-Reynolds number approach is followed. The stream function, pressure gradient, magnetic force function, induced magnetic field, and current density are constructed. We observed that symmetry in the profiles of u and ϕ is disturbed because of curvature effects. For larger values of curvature k, results of planar channel are deduced. The effects of significant parameters have been portrayed and discussed.