A study has been made on the flow and heat transfer of a viscous fluid in a vertical channel with first order chemical reaction and heat generation or absorption assuming that the viscosity and thermal conductivity are dependent on the fluid temperature.
C. ShobhaK+2 more
semanticscholar +1 more source
Controllability to trajectories of a Ladyzhenskaya model for a viscous incompressible fluid
We consider the controllability of a viscous incompressible fluid modeled by the Navier–Stokes system with a nonlinear viscosity. To prove the controllability to trajectories, we linearize around a trajectory and the corresponding linear system includes ...
S. Guerrero, Takéo Takahashi
semanticscholar +1 more source
Analysis and Numerical Simulation of Hyperbolic Shallow Water Moment Equations
Shallow Water Moment Equations allow for vertical changes in the horizontal velocity, so that complex shallow flows can be described accurately. However, we show that these models lack global hyperbolicity and the loss of hyperbolicity already occurs for
Julian Rominger
semanticscholar +1 more source
A priori Error Analysis of a Discontinuous Galerkin Method for Cahn–Hilliard–Navier–Stokes Equations
In this paper, we analyze an interior penalty discontinuous Galerkin method for solving the coupled Cahn–Hilliard and Navier–Stokes equations. We prove unconditional unique solvability of the discrete system, and we derive stability bounds without any ...
Chen Liu & Béatrice Rivière sci
semanticscholar +1 more source
Existence of optimal boundary control for the Navier-Stokes equations with mixed boundary conditions [PDF]
Variational approaches have been used successfully as a strategy to take advantage from real data measurements. In several applications, this approach gives a means to increase the accuracy of numerical simulations.
Guerra, Telma+2 more
core +2 more sources
Enstrophy Dynamics of Stochastically Forced Large-Scale Geophysical Flows [PDF]
Enstrophy is an averaged measure of fluid vorticity. This quantity is particularly important in {\em rotating} geophysical flows. We investigate the dynamical evolution of enstrophy for large-scale quasi-geostrophic flows under random wind forcing.
Blömker, D., Duan, Jinqiao, Wanner, T.
core +3 more sources
Numerical and analytical calculations of the free surface flow between two semi-infinite straights
The problem of two-dimensional flow with the free surface of the jet in a region between two semi-infinite straights intersections at point O is calculated analytically for each angle Beta and numerically for each of the various values of the Weber ...
Fatma Zohra Chedala, A. Amara, M. Meflah
semanticscholar +1 more source
A Single Cell‐Based Model of the Ductal Tumour Microarchitecture
The preinvasive intraductal tumours, such as the breast or prostate carcinomas, develop in many different architectural forms. There are, however, no experimental models explaining why cancer cells grow in these various configurations. We use a mathematical model to compare different proliferative conditions that can lead to such distinct ...
Katarzyna A. Rejniak, Robert H. Dillon
wiley +1 more source
Stochastic 2-D Navier-Stokes Equation with Artificial Compressibility [PDF]
In this paper we study the stochastic Navier-Stokes equation with artificial compressibility. The main results of this work are the existence and uniqueness theorem for strong solutions and the limit to incompressible flow.
Manna, Utpal+2 more
core +3 more sources
Stagnation‐point flow of the Walters′ B′ fluid with slip
The steady two‐dimensional stagnation point flow of a non‐Newtonian Walters′ B′ fluid with slip is studied. The fluid impinges on the wall either orthogonally or obliquely. A finite difference technique is employed to obtain solutions.
F. Labropulu, I. Husain, M. Chinichian
wiley +1 more source