Stability analysis of a viscoelastic liquid in a channel flow with uniform wall suction/blowing

• Published in: Journal of engineering mathematics Vol. 152; no. 1
• Main Authors: Lamine, Mustapha, Hifdi, Ahmed
• Format: Journal Article
• Language: English
• Published: Dordrecht Springer Nature B.V 01.06.2025
• Subjects: Base flow; Channel flow; Chebyshev approximation; Cross flow; Disturbances; Eigenvalues; Elasticity; Exact solutions; Fluid dynamics; Laminar flow; Mathematics; Normal stress; Orr-Sommerfeld equations; Phase velocity; Reynolds number; Stability analysis; Suction; Tensors; Velocity distribution; Viscoelastic liquids; Viscoelasticity

This paper investigates the linear stability of a pressure-driven plane Poiseuille flow of a viscoelastic second-grade fluid under the influence of uniform transverse cross-flow through porous channel walls. The second-grade fluid model accounts for non-Newtonian effects through the inclusion of non...