Abstract
The magnetohydrodynamic (MHD) peristaltic flow of the fractional Jeffrey fluid through porous medium in a nonuniform channel is presented. The fractional calculus is considered in Darcy’s law and the constitutive relationship which included the relaxation and retardation behavior. Under the assumptions of long wavelength and low Reynolds number, the analysis solutions of velocity distribution, pressure gradient, and pressure rise are investigated. The effects of fractional viscoelastic parameters of the generalized Jeffrey fluid on the peristaltic flow and the influence of magnetic field, porous medium, and geometric parameter of the nonuniform channel are presented through graphical illustration. The results of the analogous flow for the generalized second grade fluid, the fractional Maxwell fluid, are also deduced as special cases. The comparison among them is presented graphically.
Highlights
Peristaltic flow is generated by means of contraction and expansion of channel walls, which has wide applications in many physiological processes and industries
[23, 28], we investigate the two-dimensional MHD peristalsis of fractional Jeffrey fluid through porous nonuniform channel in this paper
We established a mathematic model of the MHD peristaltic flow of fractional Jeffrey fluid through porous a nonuniform tube
Summary
Peristaltic flow is generated by means of contraction and expansion of channel walls, which has wide applications in many physiological processes and industries. Hayat [4] discussed the peristaltic mechanism of a Maxwell fluid in an asymmetric channel In another aspect, the effect of the imposed magnetic field is usually significant in peristaltic transform for its applications for conductive biological fluid and biomechanics such as blood and blood pump machines. Srinivas et al [5, 6] investigated peristalsis motion of a Jeffrey fluid under the effect of magnetic field and of Newtonian fluid with porous medium. Hayat et al [7, 8] researched the MHD peristaltic flow of Jeffrey fluid in a channel and in a rotating system with porous medium, respectively. Mathematical Problems in Engineering organs and machines are general known to be nonuniform [23, 28], we investigate the two-dimensional MHD peristalsis of fractional Jeffrey fluid through porous nonuniform channel in this paper.
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