Influence of variable thermal conductivity on axisymmetric slip flow in a pipe with a varying radius
Year: 2025
Type: article
Abstract: This study examines wave propagation in elastic orthotropic tubes filled with a uniformly tapered fluid, focusing on the effects of slip velocity variations at the tube wall. A Newtonian fluid flows through tubes with different radii, and microscale gas flows may be influenced by temperature gradients, affecting viscosity and temperature-dependent thermal conductivity. An asymptotic series solution for low Reynolds number flow is employed to determine streamlines, velocity profiles, and variations in amplitude and wavelength of constrictions. A closed-form formula is derived to calculate the pressure drop, improving upon the Hagen-Poiseuille model by accounting for wavelength effects. Axisymmetric solutions to the governing differential equations are obtained under the assumption of no traction on the outer wall surface. Numerical analysis reveals that the slip parameter significantly influences axial and radial velocities as well as temperature profiles, providing insights into fluid behavior in elastic tubes.
Institution: Northern Border University
Language: English
Subfield: Computational Mechanics
Field: Engineering
Domain: Physical Sciences
Open Access status: gold
Estimated APC paid: $469
OpenAlex ID: W4410824466