
Previous Article
On the stability of high Lewis number combustion fronts
 DCDS Home
 This Issue

Next Article
Traveling wave solutions in parametric forms for a diffusion model with a nonlinear rate of growth
Time averaging in turbulence settings may reveal an infinite hierarchy of length scales
1.  Department of Mathematics, University of Utah, 155 S. 1400 E., Salt Lake City, UT 841120090, United States 
2.  Department of Mechanical Engineering, University of New Hampshire, Durham, NH 03824, United States 
3.  Department of Mechanical and Nuclear Engineering, Pennsylvania State University, University Park, PA 16802, United States 
Our emphasis will be on the question of how and how well these arguments supply insight into the structure of the mean flow profiles. Although empirical results may initiate the search for explanations, they will be viewed simply as means to that end.
[1] 
Mohamed Tij, Andrés Santos. NonNewtonian CouettePoiseuille flow of a dilute gas. Kinetic & Related Models, 2011, 4 (1) : 361384. doi: 10.3934/krm.2011.4.361 
[2] 
Hong Zhou, M. Gregory Forest. Anchoring distortions coupled with plane Couette & Poiseuille flows of nematic polymers in viscous solvents: Morphology in molecular orientation, stress & flow. Discrete & Continuous Dynamical Systems  B, 2006, 6 (2) : 407425. doi: 10.3934/dcdsb.2006.6.407 
[3] 
Joachim Naumann, Jörg Wolf. On Prandtl's turbulence model: Existence of weak solutions to the equations of stationary turbulent pipeflow. Discrete & Continuous Dynamical Systems  S, 2013, 6 (5) : 13711390. doi: 10.3934/dcdss.2013.6.1371 
[4] 
Hassib Selmi, Lassaad Elasmi, Giovanni Ghigliotti, Chaouqi Misbah. Boundary integral and fast multipole method for two dimensional vesicle sets in Poiseuille flow. Discrete & Continuous Dynamical Systems  B, 2011, 15 (4) : 10651076. doi: 10.3934/dcdsb.2011.15.1065 
[5] 
Igor Chueshov, Tamara Fastovska. On interaction of circular cylindrical shells with a Poiseuille type flow. Evolution Equations & Control Theory, 2016, 5 (4) : 605629. doi: 10.3934/eect.2016021 
[6] 
Liudmila A. Pozhar. Poiseuille flow of nanofluids confined in slit nanopores. Conference Publications, 2001, 2001 (Special) : 319326. doi: 10.3934/proc.2001.2001.319 
[7] 
Leif Arkeryd, Raffaele Esposito, Rossana Marra, Anne Nouri. Ghost effect by curvature in planar Couette flow. Kinetic & Related Models, 2011, 4 (1) : 109138. doi: 10.3934/krm.2011.4.109 
[8] 
Christos Sourdis. Analysis of an irregular boundary layer behavior for the steady state flow of a Boussinesq fluid. Discrete & Continuous Dynamical Systems  A, 2017, 37 (2) : 10391059. doi: 10.3934/dcds.2017043 
[9] 
Leif Arkeryd, Raffaele Esposito, Rossana Marra, Anne Nouri. Erratum to: Ghost effect by curvature in planar Couette flow [1]. Kinetic & Related Models, 2012, 5 (3) : 669672. doi: 10.3934/krm.2012.5.669 
[10] 
Azhar Ali Zafar, Khurram Shabbir, Asim Naseem, Muhammad Waqas Ashraf. MHD natural convection boundarylayer flow over a semiinfinite heated plate with arbitrary inclination. Discrete & Continuous Dynamical Systems  S, 2020, 13 (3) : 10071015. doi: 10.3934/dcdss.2020059 
[11] 
Yaguang Wang, Shiyong Zhu. Blowup of solutions to the thermal boundary layer problem in twodimensional incompressible heat conducting flow. Communications on Pure & Applied Analysis, 2020, 19 (6) : 32333244. doi: 10.3934/cpaa.2020141 
[12] 
Yong Hong Wu, B. Wiwatanapataphee. Modelling of turbulent flow and multiphase heat transfer under electromagnetic force. Discrete & Continuous Dynamical Systems  B, 2007, 8 (3) : 695706. doi: 10.3934/dcdsb.2007.8.695 
[13] 
Daniel Coutand, Steve Shkoller. Turbulent channel flow in weighted Sobolev spaces using the anisotropic Lagrangian averaged NavierStokes (LANS$\alpha$) equations. Communications on Pure & Applied Analysis, 2004, 3 (1) : 123. doi: 10.3934/cpaa.2004.3.1 
[14] 
Elena Kosygina. Brownian flow on a finite interval with jump boundary conditions. Discrete & Continuous Dynamical Systems  B, 2006, 6 (4) : 867880. doi: 10.3934/dcdsb.2006.6.867 
[15] 
Feng Luo. A combinatorial curvature flow for compact 3manifolds with boundary. Electronic Research Announcements, 2005, 11: 1220. 
[16] 
W. G. Litvinov. Problem on stationary flow of electrorheological fluids at the generalized conditions of slip on the boundary. Communications on Pure & Applied Analysis, 2007, 6 (1) : 247277. doi: 10.3934/cpaa.2007.6.247 
[17] 
ChengZhong Xu, Gauthier Sallet. Multivariable boundary PI control and regulation of a fluid flow system. Mathematical Control & Related Fields, 2014, 4 (4) : 501520. doi: 10.3934/mcrf.2014.4.501 
[18] 
Ciro D’Apice, Umberto De Maio, Peter I. Kogut. Boundary velocity suboptimal control of incompressible flow in cylindrically perforated domain. Discrete & Continuous Dynamical Systems  B, 2009, 11 (2) : 283314. doi: 10.3934/dcdsb.2009.11.283 
[19] 
Hiroko Morimoto. Survey on time periodic problem for fluid flow under inhomogeneous boundary condition. Discrete & Continuous Dynamical Systems  S, 2012, 5 (3) : 631639. doi: 10.3934/dcdss.2012.5.631 
[20] 
César Nieto, Mauricio Giraldo, Henry Power. Boundary integral equation approach for stokes slip flow in rotating mixers. Discrete & Continuous Dynamical Systems  B, 2011, 15 (4) : 10191044. doi: 10.3934/dcdsb.2011.15.1019 
2019 Impact Factor: 1.338
Tools
Metrics
Other articles
by authors
[Back to Top]