Peristaltic flow is a fundamental method of fluid conveyance in engineering, medicine, and the nuclear industry. The peristaltic mechanism is applied in designing blood pump machines, dialysis machines, and other medical devices. The current mathematical model is developed to investigate the peristaltic mechanism of Sisko fluid under the influence of heat transfer by considering variable viscosity, slip effects, variable thermal conductivity, and wall properties. Long wavelength and small Reynolds number approximations generate the nonlinear governing equations. The regular perturbation method is utilised to solve these equations. In contrast, the closed-form solution is obtained for the stream function for different values of the fluid behaviour index. The impact of several parameters on the relevant physiological factors is graphically represented using MATLAB. The results reveal that velocity and thermal slip parameters greatly impact heat transfer. The bolus volume grows as the velocity slip parameter increases. The coefficient of pseudo-plasticity plays a prominent role in the study for different values of fluid behaviour index.
The present investigation emphasises a new attempt at the peristaltic mechanism of Eyring Powell fluid through a non-uniform channel. The analysis is performed in the presence of wall properties under the influence of variable liquid properties, and the flow problem is mathematically developed. The channel walls are subjected to no-slip conditions with long-wavelength and low Reynolds-number approximations employed in the study. The nonlinear governing equations are normalised using relevant non-dimensional parameters, and the solutions are obtained with the help of a regular perturbation technique. The influence of pertinent physical parameters of interest, such as velocity, temperature, concentration and streamlines, are represented graphically. The investigation reveals that the material parameters and elastic parameters of the Eyring Powell fluid model strongly affect the velocity and temperature profiles and that the opposite behaviour has been observed in the material parameters.
The current study emphasises a new approach to the peristaltic transport of Eyring-Powell fluid through a uniform channel. The study is done while considering the influence of variable liquid properties and wall properties through a uniform inclined channel, and the flow problem is developed mathematically. The study uses low Reynolds number and long-wavelength approximations to simulate no-slip conditions on the channel walls. The solutions are derived using a traditional double perturbation technique, and the nonlinear governing equations are normalized by employing pertinent non-dimensional factors. Graphical representations of the impact of significant physical parameters, such as velocity, temperature, concentration, and streamlines, are depicted and discussed. It was noted that Eyring-Powell fluid parameters and variable liquid properties have major impact during the peristalsis.
This paper emphasizes a new attempt at the peristaltic transport of Eyring–Powell fluid through a uniform channel. The analysis is performed in the presence of wall properties under the influence of variable liquid properties, the flow problem is mathematically developed. The channel walls are subjected to velocity and thermal slip conditions with long-wavelength and low Reynolds number approximations employed in the study. The governed nonlinear partial differential equations are normalized by using relevant nondimensional parameters and the solutions are obtained with the help of a regular perturbation technique. The effects of physical parameters of interest such as velocity, temperature, concentration, and streamlines are represented graphically. The investigations reveal that the material parameters and elastic parameters of the Eyring–Powell fluid model play a significant role by affecting the velocity and temperature profiles.
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