Peristaltic Transport of Hyperbolic Tangent Fluid in an Asymmetric Channel Through a Porous Medium

Abstract

The study explores to analyze the problem of peristaltic mechanism of tangent hyperbolic fluid through porous medium in an asymmetric channel. The two-dimensional peristaltic flow of hyperbolic tangent fluid in an asymmetric channel through porous medium is analyzed under the long wavelength and low Reynolds number assumptions. The flow is investigated in a wave frame of reference moving with velocity of the wave. The perturbation series is used to obtain the solution for stream function, pressure gradient and pressure rise. The results were studied for different values of the physical parameters of the problem and illustrated graphically. It is observed that pressure rise diminishes for the larger values of Darcy number. Pressure gradient decreases for increment in Darcy number. Hyperbolic tangent fluid model anticipates the shear thinning phenomenon very accurately and are being used mostly in laboratory experiments and industries.

The Effect of Viscous Dissipation and Joule Heating on Poiseuille Flow of Hyperbolic Tangent Fluid

“…It is one of the most popular types of viscoelastic non-neutral fluids and is used in many fields of engineering and industry. For these reasons, hyperbolic tangent fluid Flow in many geometries has been the focus of substantial investigation [1][2][3][4].…”

“…The constitutive equations for the shear stress of a hyperbolic tangent fluid on display in sec. (4). The approach utilized to resolve the issue is detailed in sec (5), along with an analysis of the numerical outcomes.…”