Abstract
The primary objective of this paper is to examine the impact of variable viscosity and thermal conductivity on peristaltic transport of Casson liquid in a convectively heated inclined porous tube. The viscosity differs over the radial axis, and temperature dependent thermal conductivity is taken into account. The perturbation technique is utilized to solve the governing nonlinear equations under the assumption of long wavelength and small Reynolds number. The analytical solutions are obtained for velocity, streamlines, pressure rise, frictional force, and temperature when subjected to slip and convective boundary conditions. The impacts of related parameters on physiological quantities of interest are discussed and analyzed through graphs. It is seen that the variable viscosity has a noteworthy part in upgrading the velocity profiles. The investigation additionally demonstrates that the size of trapped bolus diminishes with an expansion in the velocity slip parameter.
Highlights
Peristaltic mechanism of Newtonian/non-Newtonian liquids assumes a critical part in understanding the physiological behavior of various biological fluids
Inspired by the examinations carried out by different researchers, the endeavor has been made to investigate the peristaltic transport of Casson liquid under the influence of variable viscosity, thermal conductivity and convective boundary conditions in an inclined porous tube
The present section shows the effects of yield stress (τ ), porous parameter (Da), velocity slip parameter (α), angle of inclination (β), amplitude ratio ( ), thermal conductivity (φ), Biot number (Bi) and Brinkmann number (Br) on physiological quantities
Summary
Peristaltic mechanism of Newtonian/non-Newtonian liquids assumes a critical part in understanding the physiological behavior of various biological fluids. Various researchers have utilized the Casson model to understand the complex behavior of many classical and biological fluids in different geometries and configuration (Khalid et al (2015); Vajravelu et al (2017); Manjunatha and Rajashekhar (2018); Khan et al (2018); Zia et al (2018)). Considering variable liquid properties will give rise to the broader understanding of classical and biological fluids (Hayat et al (2014); Hussain et al (2015); Prasad et al (2017a,b)) Along these lines, the supposition of constant viscosity fails to clear up the peristaltic mechanism involved in blood flow, lymphatic vessels and bolus transport in the esophagus. Inspired by the examinations carried out by different researchers, the endeavor has been made to investigate the peristaltic transport of Casson liquid under the influence of variable viscosity, thermal conductivity and convective boundary conditions in an inclined porous tube. The influences of appropriate parameters on physiological quantities of interest are analyzed and discussed graphically
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