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Lecture Notes in Mechanical Engineering Applications of Fluid Dynamics

Peristaltic Flow of a Bingham Fluid in Contact with a Jeffrey Fluid

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Ain Shams Engineering Journal

Peristaltic transport of a Jeffrey fluid in contact with a Newtonian fluid in an inclined channel

IOP Conference Series: Materials Science and Engineering

MHD peristaltic flow of a hyperbolic tangent fluid in a non-uniform channel with heat and mass transfer

Electronics

School of Electronics Engineering

Chennai Campus

Aligned magnetic field effect on unsteady liquid film flow of Casson fluid over a stretching surface

VIT Unitversity

Peristaltic motion of a Bingham fluid in contact with a Newtonian fluid in a vertical channel

The velocity slip effects on MHD peristaltic pumping of a Prandtl fluid in a non-uniform channel is investigated under the assumptions of long wavelength and low Reynolds number. A regular perturbation technique is employed to solve the non-linear system of equations. The velocity field, the axial pressure gradient, the pressure rise and the frictional force over one cycle of the wave length are obtained. The results are discussed graphically. It is noticed that the amplitude of the pressure gradient decreases with increasing the velocity slip parameter further it increases with increasing the Hartmann number.

Malaysian Journal of Mathematical Sciences

Influence of velocity slip conditions on MHD peristaltic flow of a Prandtl fluid in a non-uniform channel

Flow of a Jeffrey fluid between torsionally oscillating disks

Peristaltic transport of a Casson fluid in a channel with perme-able walls is investigated. Exact analytical solution of the flow quantities are developed under long wavelength and low Reynolds number assumptions. The effects of Darcy number and yield stress on the pumping characteristics are obtained and discussed. It is observed that for a given δP, the flux Q̄ decreases with increasing Darcy number. Further, it is noticed that for a given δP, the flux Q̄ decreases with increasing yield stress τ . This may be due to the yield stress behaviour of the Casson fluid. The results of the trapping phenomenon are analyzed. Four different wave forms are considered. The comparison of the different wave forms is discussed. © 2014 Academic Publications, Ltd.

Department of Smart Computing

School of Information Technology and Engineering

International Journal of Pure and Apllied Mathematics

PERISTALTIC TRANSPORT OF A CASSON FLUID IN A CHANNEL WITH PERMEABLE WALLS

The Peristaltic flow of a fourth grade fluid between two porous walls with suction and injection is investigated. The perturbation technique in terms of small Deborah number is employed to determine the expressions for the velocity, the stream function, the pressure rise and friction force under long wavelength and low Reynolds number assumptions. The effects of different parameters on the pumping characteristics and frictional forces are discussed graphically. © 2013 Academic Publications, Ltd.

PERISTALTIC TRANSPORT OF A FOURTH GRADE FLUID BETWEEN POROUS WALLS WITH SUCTION AND INJECTION

Peristaltic pumping of a non-Newtonian Jeffrey fluid between two permeable walls with suction and injection is discussed in the wave frame moving with constant velocity of the wave under the consideration of long wavelength and low Reynolds number. The analytical solution for the fluid velocity field, pressure gradient and the frictional force are obtained. The effect of suction/ injection parameter k, amplitude ratio Φ and the permeability parameter including slip α on the flow quantities are discussed graphically. It is noticed for pressure rise is positive (pumping region), the rate of pumping decreases with increasing Jeffrey parameter λ 1, whereas for pressure rise is negative (co-pumping region) the behaviour is quite opposite. For pressure rise ΔP = 0 (free pumping region) no variation is observed in the pumping rate.

International Journal of Mechanical and Materials Engineering

Peristaltic pumping of a jeffrey fluid between porous walls with suction and injection

In this paper, we study the effect of induced magnetic field on peristaltic pumping of a Carreau fluid in an inclined symmetric channel filled with porous material under the long wavelength and low Reynolds number assumptions. The flow is analyzed using a perturbation expansion in terms of small Weissenberg number. The expressions for the velocity, axial pressure gradient, pressure rise and frictional force over one cycle of wavelength are obtained. The effects of various emerging parameters on pumping characteristics and frictional forces are discussed through graphs. For free pumping (AP = 0), the flux Q decreases with the increase in Magnetic parameter or permeability parameter or Weissenberg parameter and as the angle of inclination of the channel (0 &lt; a &lt; 900) increases the pressure rise also increases for a given flux. Further for a given pressure rise the flux increases with an increment in the amplitude ratio.

Effect of induced magnetic field on peristaltic transport of a Carreau fluid in an inclined channel filled with porous material

Communications in Nonlinear Science and Numerical Simulation

Peristaltic flow of a Williamson fluid in an asymmetric channel

We investigate the flow of a Casson fluid in contact with a Newtonian fluid in a circular pipe with permeable wall. The motion is caused by the movement of peristaltic waves on the flexible walls of the channel. The equation of the interface is obtained and its variation with the yield stress is discussed. The effects of yield stress and permeability on the pumping characteristics are studied in detail. Moreover, when the limit of the permeability parameter α and the yield stress 0 0, our results agree with those of Rao and Usha 25 for the peristaltic transport of two immiscible Newtonian fluids in a circular tube with an impermeable flexible wall. Furthermore, the results obtained for the flow characteristics reveal many interesting behaviors that warrant further study of the peristaltic transport models with physiological fluids, especially the shear-thinning fluids. Shear thinning reduces the wall shear stress. © 2009 Begell House, Inc.

International Journal of Fluid Mechanics Research

Peristaltic transport of a casson fluid in contact with a newtonian fluid in a circular tube with permeable wall