This paper analyses the unsteady, two-dimensional stagnation point flow of an incompressible viscous fluid over a flat sheet when the flow is started impulsively from rest and at the same time, the sheet is suddenly stretched in its own plane with a velocity proportional to the distance from the stagnation point. The partial differential equations governing the laminar boundary layer forced con...

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...

In this exploration, we decided to investigate the significance of prescribed thermal conditions on unsteady 3D dynamics water-based radiative hybrid nanofluid with impact cylindrical-shaped nanosized particles (alumina ( Al 2 O 3 ) and titania id="M2">...

Laurent Keller is a professor at the University of Lausanne, where he directs the Department of Ecology and Evolution. After his PhD in Lausanne, he completed a postdoc with E.O. Wilson at Harvard and then returned to Bern and Lausanne with a special research and teaching grant from the Swiss NSF. He then applied with Nicolas Perrin to share a chair in the Department of Ecology in Lausanne; fol...

The heat-transfer characteristics of thin film flow over a hot sphere resulting from a cold vertical jet of liquid falling onto the surface have been investigated. The underlying physical features have been illustrated by numerical solutions of high accuracy based on the modified Keller box method. The solutions for film thickness distribution are good agreement with those obtained approximatel...

This work deals with the three-dimensional flow of nanofluid over a bi-directional exponentially stretching sheet. The effects of Brownian motion and thermophoretic diffusion of nanoparticles are considered in the mathematical model. The temperature and nanoparticle volume fraction at the sheet are also distributed exponentially. Local similarity solutions are obtained by an implicit finite dif...

A Theoretical analysis is carried out to study the boundary-layer flow over a continuously moving surface through an otherwise quiescent micropolar fluid. The transformed boundary-layer equations are solved numerically for a power-law surface velocity using the Keller-box method. The effects of the micropolar K and exponent m parameters on the velocity and microrotation field as well as on the ...

Magnetohydrodynamics (MHD) stagnation point flow and heat transfer of a Williamson fluid in the direction of an exponentially stretching sheet embedded in a thermally stratified medium subject to suction present in this examination. Suitable transformations are used to convert the partial differential equations corresponding to the momentum and energy equations into highly nonlinear ordinary di...