International Journal of

ADVANCED AND APPLIED SCIENCES

EISSN: 2313-3724, Print ISSN: 2313-626X

Frequency: 12
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 Volume 12, Issue 4 (April 2025), Pages: 184-192

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 Original Research Paper

Influence of variable thermal conductivity on axisymmetric slip flow in a pipe with a varying radius

 Author(s): 

 Mohamed H. Hendy 1, *, Abaker A. Hassaballa 2, Mnahil M. Bashier 2

 Affiliation(s):

 1Department of General Courses, Applied College, Northern Border University, Arar, Saudi Arabia
 2Department of Mathematics, Faculty of Science, Northern Border University, Arar, Saudi Arabia

 Full text

    Full Text - PDF

 * Corresponding Author. 

   Corresponding author's ORCID profile:  https://orcid.org/0000-0003-1919-1647

 Digital Object Identifier (DOI)

  https://doi.org/10.21833/ijaas.2025.04.020

 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.

 © 2025 The Authors. Published by IASE.

 This is an open access article under the CC BY-NC-ND license ( http://creativecommons.org/licenses/by-nc-nd/4.0/).

 Keywords

 Wave propagation, Elastic orthotropic tubes, Slip velocity, Low Reynolds number flow, Pressure drop analysis

 Article history

 Received 2 October 2024, Received in revised form 25 January 2025, Accepted 25 April 2025

 Acknowledgment

The authors gratefully acknowledge the approval and support of this research study by Grant No. NBU-FFR-2024-1695-03 from the Deanship of Scientific Research in Northern Border University, Arar, KSA.

  Compliance with ethical standards

  Conflict of interest: The author(s) declared no potential conflicts of interest with respect to the research, authorship, and/or publication of this article.

 Citation:

 Hendy MH, Hassaballa AA, and Bashier MM (2025). Influence of variable thermal conductivity on axisymmetric slip flow in a pipe with a varying radius. International Journal of Advanced and Applied Sciences, 12(4): 184-192

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 Figures

  Fig. 1  Fig. 2   Fig. 3   Fig. 4   Fig. 5   Fig. 6   Fig. 7  

 Tables

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