scholarly journals INVESTIGATION OF VISCOUS FLUID FLOW IN TSHAPED CHANNEL WITH NO SLIP/SLIP BOUNDARY CONDITIONS ON THE SOLID WALL

2016 ◽  
pp. 58-69 ◽  
Author(s):  
Evgeniy Ivanovich BORZENKO ◽  
◽  
Olga Alekseevna DIAKOVA ◽  
Keyword(s):  
Fluid Flow ◽  
Viscous Fluid ◽  
Boundary Conditions ◽  
Solid Wall ◽  
Slip Boundary Conditions ◽  
Viscous Fluid Flow ◽  
Slip Boundary

Linearized no-slip boundary conditions at a rough surface

2013 ◽  
Vol 737 ◽  
pp. 349-367 ◽  
Author(s):  
Paolo Luchini
Keyword(s):  
Aspect Ratio ◽  
Boundary Conditions ◽  
Solid Wall ◽  
Stokes Problem ◽  
Far Field ◽  
Slip Boundary Conditions ◽  
Transition Prediction ◽  
Slip Boundary ◽  
Flow Problems ◽  
Field Behaviour

AbstractLinearized boundary conditions are a commonplace numerical tool in any flow problems where the solid wall is nominally flat but the effects of small waviness or roughness are being investigated. Typical examples are stability problems in the presence of undulated walls or interfaces, and receptivity problems in aerodynamic transition prediction or turbulent flow control. However, to pose such problems properly, solutions in two mathematical distinguished limits have to be considered: a shallow-roughness limit, where not only roughness height but also its aspect ratio becomes smaller and smaller, and a small-roughness limit, where the size of the roughness tends to zero but its aspect ratio need not. Here a connection between the two solutions is established through an analysis of their far-field behaviour. As a result, the effect of the surface in the small-roughness limit, obtained from a numerical solution of the Stokes problem, can be recast as an equivalent shallow-roughness linearized boundary condition corrected by a suitable protrusion coefficient (related to the protrusion height used years ago in the study of riblets) and a proximity coefficient, accounting for the interference between multiple protrusions in a periodic array. Numerically computed plots and interpolation formulas of such correction coefficients are provided.

Impact of gold nanoparticles along with Maxwell velocity and Smoluchowski temperature slip boundary conditions on fluid flow: Sutterby model

2021 ◽  
Author(s):  
Tanveer Sajid ◽  
Wasim Jamshed ◽  
Faisal Shahzad ◽  
Esra Karatas Akgül ◽  
Kottakkaran Sooppy Nisar ◽  
...  
Keyword(s):  
Gold Nanoparticles ◽  
Fluid Flow ◽  
Boundary Conditions ◽  
Slip Boundary Conditions ◽  
Slip Boundary

ASYMPTOTIC BEHAVIOR OF A VISCOUS FLUID WITH SLIP BOUNDARY CONDITIONS ON A SLIGHTLY ROUGH WALL

2010 ◽  
Vol 20 (01) ◽  
pp. 121-156 ◽  
Author(s):  
J. CASADO-DÍAZ ◽  
M. LUNA-LAYNEZ ◽  
F. J. SUÁREZ-GRAU
Keyword(s):  
Asymptotic Behavior ◽  
Viscous Fluid ◽  
Boundary Conditions ◽  
Critical Size ◽  
Three Dimensional ◽  
Plane Boundary ◽  
Limit Equation ◽  
Slip Boundary Conditions ◽  
Slip Boundary ◽  
Oscillating Boundary

For an oscillating boundary of period and amplitude ε, it is known that the asymptotic behavior when ε tends to zero of a three-dimensional viscous fluid satisfying slip boundary conditions is the same as if we assume no-slip (adherence) boundary conditions. Here we consider the case where the period is still ε but the amplitude is δε with δε/ε converging to zero. We show that if [Formula: see text] tends to infinity, the equivalence between the slip and no-slip conditions still holds. If the limit of [Formula: see text] belongs to (0, +∞) (critical size), then we still have the slip boundary conditions in the limit but with a bigger friction coefficient. In the case where [Formula: see text] tends to zero the boundary behaves as a plane boundary. Besides the limit equation, we also obtain an approximation (corrector result) of the pressure and the velocity in the strong topology of L2 and H1 respectively.

Fluid Flow in Composite Cylindrical Regions

2021 ◽  
Vol 40 ◽  
pp. 63-72
Author(s):  
R. Umadevi ◽  
D.V. Chandrashekhar ◽  
P.A. Dinesh ◽  
D.V. Jayalakshmamma
Keyword(s):  
Fluid Flow ◽  
Viscous Fluid ◽  
Boundary Conditions ◽  
Constitutive Equations ◽  
Stokes Equations ◽  
Flow Patterns ◽  
Flow Behaviour ◽  
Solid Cylinder ◽  
Viscous Fluid Flow ◽  
Different Boundary Conditions

A steady, 2-D, viscous fluid flow past a fixed solid cylinder of radius ‘a’ has been considered where the density is constant for considered fluid. The flow of fluid happens in 3 regions namely fluid, porous and fluid region. The constitutive equations for the flow in porous and fluid regions are Brinkman and Stokes equations respectively. The variation of flow patterns by means of streamlines has been analysed by applying different boundary conditions at the interface of fluid – porous and porous – fluid regions and also on the surface of the solid cylinder assuming that the even velocity far off from the fluid region. The nature of streamlines is observed for the distinct values of porous parameter ‘σ’ and the corresponding flow behaviour is analysed graphically. From the obtained results it is noticed that increase in porous parameter, suppress the fluid flow in porous region consequently the fluid moves away from the solid cylinder.

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