Results 1 to 10 of about 29 (28)

Non-stationary Navier–Stokes equations in 2D power cusp domain

Advances in Nonlinear Analysis, 2021
The initial boundary value problem for the non-stationary Navier-Stokes equations is studied in 2D bounded domain with a power cusp singular point O on the boundary. The case of the boundary value with a nonzero flow rate is considered.
Pileckas Konstantin, Raciene Alicija
doaj   +2 more sources

An application of the method of matched asymptotic expansions for low Reynolds number flow past a cylinder of arbitrary cross section

International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 47, Page 2525-2535, 2004., 2004
We study the low Reynolds number flow of an incompressible Newtonian fluid of infinite expanse past a cylinder of arbitrary cross section by using the method of matched asymptotic expansions. The analysis that will be made in this paper is equivalent to that developed by Power (1990) in order to solve the resulting inner (or Stokes) problems with the ...
Mirela Kohr
wiley   +1 more source

Caustic consideration of long planetary wave packet analysis in the continuously stratified ocean

International Journal of Mathematics and Mathematical Sciences, Volume 25, Issue 1, Page 63-72, 2001., 2001
The wave packet method, one form of the WKB technique, recently has been employed to investigate the evolution of long planetary wave packets in relation to the complex climate variability in the world oceans. However, such a method becomes invalid near the caustics.
Arthur D. Gorman, Huijun Yang
wiley   +1 more source

Large Péclet number forced convection from a circular wire in a uniform stream: hybrid approximations at small Reynolds numbers

European Journal of Applied Mathematics
We consider heat or mass transport from a circular cylinder under a uniform crossflow at small Reynolds numbers, $\mathrm{Re}\ll 1$ . This problem has been thwarted in the past by limitations inherent in the classical analyses of the singular flow ...
Ehud Yariv
doaj   +1 more source

A multiscale model for espresso brewing: Asymptotic analysis and numerical simulation

European Journal of Applied Mathematics
We present a novel multiscale mathematical model of espresso brewing. The model captures liquid infiltration and flow through a packed bed of ground coffee, as well as coffee solubles transport (both in the grains and in the liquid) and solubles ...
Yoana Grudeva, Kevin M. Moroney, Jamie M. Foster   +2 more
doaj   +1 more source

On the Origins of Vortex Shedding in Two-dimensional Incompressible Flows. [PDF]

Theor Comput Fluid Dyn, 2016
Boghosian ME, Cassel KW.
europepmc   +1 more source

On the Modeling of Nonlinear Wind-Induced Ice-Drift Ocean Currents at the North Pole. [PDF]

J Math Fluid Mech
Puntini C.
europepmc   +1 more source

A KAM Approach to the Inviscid Limit for the 2D Navier-Stokes Equations. [PDF]

Ann Henri Poincare
Franzoi L, Montalto R.
europepmc   +1 more source

Asymptotic analysis of the thermomicropolar fluid flow through a thin channel with cooling

Applicable Analysis, 2022
Marko Radulovic, Igor Pažanin
exaly  

Three-scale singular limits of the rotating stratified Boussinesq equations

Applicable Analysis, 2021
Pengcheng Mu, Qiangchang Ju
exaly