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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.

PERISTALTIC FLOW OF CASSON LIQUID IN AN INCLINED POROUS TUBE WITH CONVECTIVE BOUNDARY CONDITIONS AND VARIABLE LIQUID PROPERTIES