Theoretical study of MHD electro-osmotically flow of third-grade fluid in micro channel

Combined electrical MHD heat transfer thermal extrusion system using Maxwell fluid with radiative and viscous dissipation effects

https://pure.hw.ac.uk/ws/files/10725764/1_s2.0_S0167732216312193_main.pdf

MHD stagnation point flow of viscoelastic nanofluid with non-linear radiation effects

The peristaltic flow of a Jeffrey fluid in an asymmetric channel is studied under long wavelength and low Reynolds number assumptions. The fluid is electrically conducting by a transverse magnetic field. The channel asymmetry is produced by choosing the peristaltic wave train on the walls to have different amplitudes and phase. The flow is investigated in a wave frame of reference moving with the velocity of the wave. The expressions for stream function, axial velocity and axial pressure gradient have been obtained. The effects of various emerging parameters on the flow characteristics are shown and discussed with the help of graphs. The pumping characteristics, axial pressure gradient and trapping phenomenon have been studied. Comparison of various wave forms (namely sinusoidal, triangular, square and trapezoidal) on the flow is discussed.

Peristaltic transport of a Jeffrey fluid under the effect of magnetic field in an asymmetric channel

The influence of slip conditions, wall properties and heat transfer on MHD peristaltic transport

Peristaltic flow of Herschel–Bulkley fluid in an inclined tube is analyzed. The velocity distribution, the stream function and the volume flow rate are obtained. Also, when the yield stress ratio τ → 0 , and when the inclination parameter α = 0 and the fluid parameter n = 1 , the results agree with those of Jaffrin and Shapiro (Ann. Rev. Fluid Mech. 3 (1971) 13) for peristaltic transport of a Newtonian fluid in a horizontal tube. The effects of τ and n on the pressure drop and the mean flow are discussed through graphs. Furthermore, the results for the peristaltic transport of Bingham and power law fluids through a flexible tube are obtained and discussed. The results obtained for the flow characteristics reveal many interesting behaviors that warrant further study of the effects of Herschel–Bulkley fluid on the flow characteristics.

Peristaltic transport of a Herschel–Bulkley fluid in an inclined tube

The influence of heat transfer on peristaltic transport of a Jeffrey fluid in a vertical porous stratum

The flow of a power-law fluid is investigated in an asymmetric channel caused by the movement of peristaltic waves with the same speed but with different amplitudes and phases on the flexible walls of the channel. The differential equation governing the flow is non-linear and can admit non-unique solutions. There exist two different physically meaningful solutions one satisfying the boundary conditions at the upper wall and the other at the lower wall. The effects of the power-law nature of the fluid on the pumping characteristics and axial velocity are studied in detail.

Peristaltic motion of a power-law fluid in an asymmetric channel

Peristaltic pumping of a Herschel-Bulkley fluid in a channel

The peristaltic flow of a Williamson fluid in asymmetric channels with permeable walls is investigated. The channel asymmetry is produced by choosing a peristaltic wave train on the wall with different amplitudes and phases. The solutions for stream function, axial velocity and pressure gradient are obtained for small Weissenberg number, We, via a perturbation expansion about We, while an exact solution method is discussed for large values of We. The exact solutions become singular as We tends to zero; hence the separate perturbation solutions are essential. Also, numerical results are obtained using the perturbation technique for the pumping and trapping phenomena, and these are used to bring out the qualitative features of the solutions. It is noted that the size of the trapped bolus decreases and its symmetry disappears for large values of the permeability parameter. The effects of various wave forms (namely, sinusoidal, triangular, square and trapezoidal) on the fluid flow are discussed.

S. Sreenadh

Papers

Peristaltic transport of a Herschel–Bulkley fluid in an inclined tube

The influence of heat transfer on peristaltic transport of a Jeffrey fluid in a vertical porous stratum

Peristaltic motion of a power-law fluid in an asymmetric channel

Peristaltic pumping of a Herschel-Bulkley fluid in a channel

Peristaltic transport of a Williamson fluid in asymmetric channels with permeable walls