This paper investigates the use of the Method of Inequalities (MoI) to design outputfeedback compensators for the problem of the control of laminar plane Poiseuille flow. In common with many flows, the dynamics of plane Poiseuille flow are very non-normal. Consequently, small perturbations grow rapidly with a large transient that may trigger nonlinearities and lead to turbulence even though suc...

We provide a mathematical analysis of the spectrum of the linear stability problem for one and two layer channel flows of the upper-convected Maxwell (UCM) and Oldroyd-B fluids at zero Reynolds number. For plane Couette flow of the UCM fluid, it has long been known (Gorodstov and Leonov, J. Appl. Math. Mech. (PMM) 31 (1967) 310) that, for any given streamwise wave number, there are two eigenval...

This work is concerned with application of the Lattice Boltzmznn Method (LBM) to compute flows in micro-geometries. The choice of using LBM for microflow simulation is a good one owing to the fact that it is based on the Boltzmann equation which is valid for the whole range of the Knudsen number. In this work LBM is applied to simulate the pressure driven microchannel flows and micro lid-driven...

The present microfluidic study is emphasizing the flow behavior within a Y shape micro-bifurcation in two similar flow configurations. We report here a numerical and experimental investigation on the velocity profiles evolution and secondary flows, manifested at different Reynolds numbers (Re) and for two different boundary conditions. The experiments are performed using special designed setup ...

We explore the effect of forcing on linear shear flow or plane Couette flow, which is also background in very small region Keplerian accretion disk. show that depending strength and boundary conditions suitable for systems under consideration, and, hence, disk velocity profile modifies to parabolic Poiseuille Couette-Poiseuille frame reference. In presence rotation, becomes unstable at a smalle...

Rarefied gas flows through micro-channels are simulated using particle approaches, named as the information preservation (IP) method and the direct simulation Monte Carlo (DSMC) method. In simulating the low speed flows in long micro-channels the DSMC method encounters the problem of large sample size demand and the difficulty of regulating boundary conditions at the inlet and outlet. Some impo...

This article discusses the possibility of using Lin–Sidorov–Aristov class exact solutions and its modifications to describe flows a fluid with microstructure (with couple stresses). The presence shear stresses is consequence taking into account rotational degrees freedom for an elementary volume micropolar liquid. Thus, Cauchy stress tensor not symmetric. presents describing unidirectional (lay...

We study the microstructure formation and defects dynamics arising in liquid crystalline polymers (LCPs) in plane shear flow by a inetic–hydrodynamic coupled model. The kinetic model is an extension of the Doi theory with a non-local intermolecular potential, including ranslational diffusion and density variation. LCP molecules are ensured anchoring at the boundary by an additional boundary pot...