No abstract

No abstract

No abstract

No 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.

The present paper examines the impact of heat and mass transfer on the peristaltic flow of Rabinowitsch fluid through a non-uniform channel. The effects of slip and variable fluid properties are taken into account. The impacts of wall rigidity, wall stiffness, and viscous damping force parameter are considered. The equations governing the flow are rendered dimensionless by using a suitable similarity transformation. The governing equations of momentum, motion, energy, and concentration are solved by utilizing long wavelength and small Reynolds number approximation. The MATLAB 2019a programming has been used to obtain the solutions for velocity and concentration profiles. The series solution technique has been utilized to get the expression for temperature. The influence of relevant parameters on velocity, temperature, concentration, and streamlines are examined for viscous, shear-thinning, and shear thickening fluid models. The examination uncovers that a rise in the value of variable viscosity and variable thermal conductivity improves the velocity and temperature profiles for Newtonian and pseudoplastic fluid models. Moreover, an increase in the volume of the trapped bolus is seen for an expansion in the estimation of the velocity slip parameter for all the three considered models.

The present paper examines the peristaltic mechanism of a Jeffrey fluid through an elastic tube. The influence of velocity slip, convective boundary conditions, and variable liquid properties are taken into account. Closed form solutions are obtained for velocity, flux and temperature fields. In order to linearize the temperature equation, perturbation technique is employed. Also, the flux is determined theoretically via Rubinow and Keller and Mazumdar approach and the results are compared graphically. The effects of various vital parameters on the fluid flow are sketched and analyzed graphically. The findings emphasize the importance of elastic parameters in enhancing the flux of a non-Newtonian fluid. Moreover, a rise in the variable viscosity results in an increase in the velocity and temperature, whereas a drop in the flux is observed. Trapping phenomena reveals an increase in the volume of the bolus for increasing values of the variable viscosity and velocity slip parameter.