Electrohydrodynamic Peristaltic Flow of a Viscoelastic Oldroyd Fluid with a Mild Stenosis: Application of an Endoscope

This paper aims to present the significance of the Hall current and Joule heating impacts on a peristaltic flow of a Rabinowitsch fluid through tapered tube. The Darcy–Forchheimer scheme is used for a porous medium; a mild stenosis is considered to study the impacts of radiative heat transfer and chemical reactions. Convective conditions are postulated for heat and mass transfer. In the meantime, the slip conditions are presumed for the velocity distribution. Soret and Dufour features bring the coupled differential systems. The hypotheses of a long wavelength and low Reynolds number are employed to approximate the governing equations of motion, and finally the homotopy perturbation method is adopted for numerical study. Pumping characteristics are revealed and the trapping procedure correlated with peristaltic transport is elucidated. The present study is very important in many medical applications, such as the gastric juice motion in the small intestine and the flow of blood in arteries. The mechanism of peristaltic transport with mild stenosis has been exploited for industrial applications like sanitary fluid transport and blood pumps in heart-lung machine. The influences of various physical parameters of the problem are debated and graphically drawn across a set of figures. It is noted that the axial velocity is reduced with the increase of the Hartmann number. However, enhancing both the Rabinowitsch parameter and the Forchheimer parameter gives rise to the fluid velocity. As well, it is debated that Rabinowitsch fluid produces a cubic term of pressure gradient. Therefore, the relation between mean flow rate and the pressure rise does not stay linear. It is recognized that the temperature rises with the enhancement of both Dufour number and Soret number. Furthermore, it is illustrated that the concentration impedes with the increase of the mass transfer Biot number. Also, it is revealed that the trapped bolus contracts in size by enlarging the maximum height of stenosis.

Download Full-text

Hall current effects on electro-magneto-dynamic peristaltic flow of an Eyring–Powell fluid with mild stenosis through a uniform and non-uniform annulus

Indian Journal of Physics ◽

10.1007/s12648-021-02185-z ◽

2021 ◽

Author(s):

Nabil T. M. El-Dabe ◽

Doaa R. Mostapha

Keyword(s):

Hall Current ◽

Peristaltic Flow ◽

Mild Stenosis

Download Full-text

DISSIPATIVE HEAT TRANSFER IN SISKO FLUID PERISTALTIC FLOW THROUGH A CYLINDRICAL TUBE WITH NONLINEAR SLIP

Heat Transfer Research ◽

10.1615/heattransres.2015007130 ◽

2015 ◽

Vol 46 (7) ◽

pp. 643-656 ◽

Cited By ~ 1

Author(s):

Obaid Ullah Mehmood ◽

Norzieha Mustapha ◽

Sharidan Shafie ◽

Muhammad Qasim

Keyword(s):

Heat Transfer ◽

Cylindrical Tube ◽

Peristaltic Flow ◽

Sisko Fluid ◽

Dissipative Heat ◽

Flow Through

Download Full-text

Peristaltic Flow of a Two-Layer System in a Poroflexible Tube

Journal of Porous Media ◽

10.1615/jpormedia.v11.i1.40 ◽

2008 ◽

Vol 11 (1) ◽

pp. 51-71 ◽

Cited By ~ 1

Author(s):

Manoranjan Mishra ◽

A. Ramachandra Rao

Keyword(s):

Peristaltic Flow ◽

Layer System

Download Full-text

Peristaltic flow of a Jeffery fluid over a porous conduit in the presence of variable liquid properties and convective boundary conditions

International Journal of Thermofluid Science and Technology ◽

10.36963/ijtst.19060201 ◽

2019 ◽

Vol 6 (2) ◽

Cited By ~ 3

Author(s):

G. Manjunatha ◽

C. Rajashekhar ◽

K. V. Prasad ◽

Hanumesh Vaidya ◽

Saraswati

Keyword(s):

Boundary Conditions ◽

Frictional Force ◽

Variable Viscosity ◽

Pressure Rise ◽

Velocity Slip ◽

Peristaltic Flow ◽

Physical Parameters ◽

Convective Boundary Conditions ◽

Convective Boundary ◽

Closed Form Solutions

The present article addresses the peristaltic flow of a Jeffery fluid over an inclined axisymmetric porous tube with varying viscosity and thermal conductivity. Velocity slip and convective boundary conditions are considered. Resulting governing equations are solved using long wavelength and small Reynolds number approximations. The closed-form solutions are obtained for velocity, streamline, pressure gradient, temperature, pressure rise, and frictional force. The MATLAB numerical simulations are utilized to compute pressure rise and frictional force. The impacts of various physical parameters in the interims for time-averaged flow rate with pressure rise and is examined. The consequences of sinusoidal, multi-sinusoidal, triangular, trapezoidal, and square waveforms on physiological parameters are analyzed and discussed through graphs. The analysis reveals that the presence of variable viscosity helps in controlling the pumping performance of the fluid.

Download Full-text