Adaptive Computations to Pressure Profile for Creeping Flow of a Non-Newtonian Fluid With Fluid Nonconstant Density Effects

Abstract

Abstract The sperm density through the cervical canal plays a dynamic part in promoting the pregnancy progressions of organisms. Therefore, this study aims to probe the combined effects of concentration and temperature-dependent density on the creeping flow of Carreau nanofluid in the cervical canal as the first look in this direction. Chemical reaction and Hall effects are considered. The system of a physical model is simplified/streamlined using appropriate transformation (δ≪1). The system that describes the fluid model is recurrence/rearranged with aid of adaptive shoot techniques (AST) by a computer program using mathematica 13.1.0. Solutions are offered via sketches on the pressure profiles. Besides, graphs of streamlined are achieved in dissimilar values of the nonconstant density of the fluid. To get accurate results and approve the validation of the proposed technique, a comparison with Ibrahim (2022, “Adaptive Simulations to Pressure Distribution for Creeping Motion of Carreau Nanofluid With Variable Fluid Density Effects: Physiological Applications,” Therm. Sci. Eng. Prog., 32, p. 101337) is obtained and seems to be very good. The results indicate that high values of nonconstant density parameters impose a pressure gradient in the cervical canal, which supports the sperm to be more energetic in ovum fertilizing.