Examining a Round Vessel Relative to the Impact Posed By Porous Media and Constant Wall Permeability on the Creeping Flow: In Relation to Computational and Applied Mathematics Techniques

• Published in: Journal of physics. Conference series Vol. 1362; no. 1; pp. 12133 - 12137
• Main Authors: Hamil, Shahed Ali, Majeed, Abdulrahman H.
• Format: Journal Article
• Language: English
• Published: Bristol IOP Publishing 01.11.2019
• Subjects: Applications of mathematics; Applied mathematics; Exact solutions; Flow velocity; Leakage; Mathematical analysis; Osmosis; Parameters; Permeability; Physics; Porous media; Pressure distribution; Pressure drop; Stream functions (fluids); Vessels; Wall shear stresses
• ISSN: 1742-6588; 1742-6596
• DOI: 10.1088/1742-6596/1362/1/012133

In this study, the main aim was to determine the impact of the parameters of porous media and constant wall permeability on the round vessel's creeping flow. To determine the exact solution, the study employed the inverse technique. Also, the mathematical expression for leakage flux, flow rate, pressure distribution, wall shear stress, velocity components, and stream function were used to understand the flow behavior. The motivation was to determine how flow properties exist relative to porous media and wall permeability. From the findings, the study established that there is a reduction in fluid velocity when the permeability of the porous medium is low. The maximum permeation rate was recorded at 84% and was obtained following high osmotic pressure drop and increased wall permeability. Similarly, the porous media's state of porosity did not affect the amount of permeable fluid, as well as leakage flow. Rather, these parameters dependent on the nature of constant wall permeability.