On the Optimal Control of a Class of Non-Newtonian Fluids [PDF]
, 2013 We consider optimal control problems of systems governed by stationary, incompressible generalized Navier-Stokes equations with shear dependent viscosity in a two-dimensional or three-dimensional domain.
Guerra, Telma +2 more
core +2 more sources
Global well-posedness for a Smoluchowski equation coupled with Navier-Stokes equations in 2D [PDF]
, 2007 We prove global existence for a nonlinear Smoluchowski equation (a nonlinear Fokker-Planck equation) coupled with Navier-Stokes equations in two dimensions.
B. Jourdain +18 more
core +1 more source
Numerical analysis of the Oseen-type Peterlin viscoelastic model by the stabilized Lagrange-Galerkin method, Part I: A nonlinear scheme [PDF]
, 2016 We present a nonlinear stabilized Lagrange-Galerkin scheme for the Oseen-type Peterlin viscoelastic model. Our scheme is a combination of the method of characteristics and Brezzi-Pitk\"aranta's stabilization method for the conforming linear elements ...
Lukáčová-Medvid'ová, Mária +3 more
core +2 more sources
Mathematical Problems in Engineering, Volume 2003, Issue 2, Page 47-64, 2003., 2003 The governing equations for the unsteady flow of a uniformly conducting incompressible fourth‐grade fluid due to noncoaxial rotations of a porous disk and the fluid at infinity are constructed. The steady flow of the fourth‐grade fluid subjected to a magnetic field with suction/blowing through the disk is studied.
Tasawar Hayat, Yongqi Wang
wiley +1 more source
Heat transfer analysis of a second grade fluid over a stretching sheet
International Journal of Mathematics and Mathematical Sciences, Volume 18, Issue 4, Page 765-772, 1995., 1994 The heat tranfer and flow of a non‐Newtonian fluid past a stretching sheet is analyzed in this paper. Results in a non‐dimensional form are presented here for the velocity and temperature profiles assuming different kind of boundary conditions.
C. E. Maneschy, M. Massoudi
wiley +1 more source
Nonlinear Reynolds equations for non-Newtonian thin-film fluid flows over a rough boundary [PDF]
, 2019 We consider a non-Newtonian fluid flow in a thin domain with thickness ηε and an oscillating top boundary of period ε. The flow is described by the 3D incompressible Navier-Stokes system with a nonlinear viscosity, being a power of the shear rate (power ...
Anguiano Moreno, María +1 more
core +2 more sources
Flow between caoxial rotating disks: with and without externally applied magnetic field
International Journal of Mathematics and Mathematical Sciences, Volume 4, Issue 1, Page 181-200, 1981., 1981 The problem of flow of a Rivlin‐Ericksen type of viscoelastic fluid is discussed when such a fluid is confined between two infinite rotating coaxial disks. The governing system of a pair of non‐linear ordinary differential equation is solved by treating Reynolds number to small.
R. K. Bhatnagar
wiley +1 more source
Development of three dimensional constitutive theories based on lower dimensional experimental data [PDF]
, 2009 Most three dimensional constitutive relations that have been developed to describe the behavior of bodies are correlated against one dimensional and two dimensional experiments.
A. E. Green +18 more
core +3 more sources
Existence of solutions for a shear thickening fluid-particle system with non-Newtonian potential
Open Mathematics, 2018 This paper is concerned with a compressible shear thickening fluid-particle interaction model for the evolution of particles dispersed in a viscous non-Newtonian fluid. Taking the influence of non-Newtonian gravitational potential into consideration, the
Song Yukun, Liu Fengming
doaj +1 more source
Generalized solutions of the fractional Burger’s equation
Results in Physics, 2019 We investigate the solutions for the fractional Burger’s equation based on the Jumarie fractional derivative using Bernoulli polynomials. We find general solutions for such problems. Comparison with other methods is presented.
Muhammed I. Syam +4 more
doaj +1 more source