We study the critical dynamics of the generalized Smoluchowski-Poisson system (for self-gravitating Langevin particles) or generalized Keller-Segel model (for the chemotaxis of bacterial populations). These models [P. H. Chavanis and C. Sire, Phys. Rev. E 69, 016116 (2004)] are based on generalized stochastic processes leading to the Tsallis statistics. The equilibrium states correspond to poly...

Abstract. In this paper, the Soret and Dufour effects on the steady, laminar mixed convection heat and mass transfer along a semi-infinite vertical plate embedded in a non-Darcy porous medium saturated with micropolar fluid are studied. The governing partial differential equations are transformed into ordinary differential equations. The local similarity solutions of the transformed dimensionle...

The steady, two dimensional flow of an incompressible micropolar fluid near the stagnation point on a vertical plate with prescribed surface heat flux is studied. The free stream velocity and the surface heat flux are assumed to be proportional to the distance from the stagnation point. Similarity transformation is employed to transform the governing partial differential equations to a set of o...

Submitted: May 15, 2013; Accepted: Jun 23, 2013; Published: Jul 22, 2013 Abstract: Stagnation-point flow of a nanofluid over a nonlinear stretching sheet is investigated theoretically when the sheet is stretched with a power law velocity under a constant wall temperature. The governing nonlinear problem incorporates the effects of Brownian motion and thermophoresis is transformed by using appro...

The combined effects of Soret and Dufour on an unsteady mixed convection magnetohydrodynamics heat and mass transfer in a micropolar fluid saturated Darcian porous medium in the presence of thermal radiation, heat generation, Ohmic heating and chemical reaction have been investigated. The transformed boundary layer equations are solved numerically by applying Keller-box method. Comparison of nu...

This article presents numerical analysis of mixed convection laminar flow of a second grade viscoelastic fluid due to cylinder of elliptic cross-section with prescribed surface heat flux. Dimensionless nonlinear analysis is computed employing Keller-box method. Skin friction coefficient and Nusselt number are emphasized specifically. These quantities are displayed graphically to examine their b...

Forced convection boundary layer magnetohydrodynamic flow of a nanofluid over a permeable stretching plate is studied in this paper. The effects of suction-injection and viscous dissipation are taken into account. The nanofluid model includes Brownian motion and thermophoresis effects. The governing momentum, energy, and nanofluid solid volume fraction equations are solved numerically using an ...

The Soret and Dufour effects on the steady, laminar mixed convection heat and mass transfer along a semi-infinite vertical plate embedded in a micropolar fluid saturated non-Darcy porous medium with heat and mass flux conditions are investigated. The non-linear governing equations and their associated boundary conditions are initially cast into dimensionless forms using similarity transformatio...

Unsteady boundary layer flow of an incompressible micropolar fluid over a stretching sheet when the sheet is stretched in its own plane is studied in this paper. The stretching velocity is assumed to vary linearly with the distance along the sheet. Two equal and opposite forces are impulsively applied along the x-axis so that the sheet is stretched, keeping the origin fixed in a micropolar flui...