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Slow flow of couple stress fluid past a cylinder embedded in a porous medium: slip effect

Sarkar Priya, Madasu Krishna Prasad

Engineering Transactions

2023

Vol. 71, iss. 4

537--551

An analytical study for the creeping flow of a couple stress fluid past a cylinder embedded in a porous medium is presented using the slip condition. The uniform flow is considered far away from a cylinder. The boundary conditions used are zero couple stress and tangential slip conditions. The modified Bessel functions represent the stream function (the velocity). The drag exerted on a solid cylinder immersed in a porous medium is derived. The impacts of the couple stress, permeability, and slip parameters on the normalized drag force are presented graphically. The drag forces of well-known exceptional cases are reduced. The drag force is a decreasing function of the permeability and couple stress parameters and an increasing function of the slip parameter.

Kinetic boundary layers for the Boltzmann equation on discrete velocity lattices

Babovsky H., Płatkowski T.

Archives of Mechanics

2008

Vol. 60, nr 1

87-116

We consider families of discrete velocity models with physical collision invariants, and develop algebraic criteria for well-posedness of the linearized kinetic boundary layer problem. Using the obtained criteria we discuss various hierarchies of symmetric discrete velocity models, and calculate analytical and numerical slip coefficients for the representants of the hierarchies.