Discussion: “On the Laminar Two-Dimensional Free Jet of an Incompressible Pseudoplastic Fluid” (Atkinson, C., 1972, ASME J. Appl. Mech., 39, pp. 1162–1164)

Under consideration for publication in J . Fluid Mech . 1 Two - Phase Modeling of a Fluid

We analyse and improve a recently-proposed two-phase ow model for the statistical evolution of two-uid mixing. A hyperbolic equation for the volume fraction, whose characteristic speed is the average interface velocity v , plays a central role. We propose a new model for v in terms of the volume fraction and uid velocities, which can be interpreted as a constitutive law for two-uid mixing. In t...

J. Gen. Appl. Microbiol., 53, 39–51 (2007)

The family Micromonosporaceae was first described by Krasil’nikov (1938) based on morphological basis and Goodfellow et al. (1990) emended the family and added the genera Actinoplanes, Dactylosporangium and Pilimelia on the basis of numerical and chemical analyses. Koch et al. (1996) emended the description of the family to reflect its phenotypic and chemotaxonomic heterogeneity. Later Stackebr...

The Solution of Laminar Incompressible Flow Equation with Free Surfaces in Curvilinear Coordinates

In this paper a novel numerical approach is presented for solving the transient incompressible fluid flow problems with free surfaces in generalized two-dimensional curvilinear coordinate systems. Solution algorithm is a combination of implicit real-time steps and explicit pseudo-time steps. Governing fluid flow equations are discretized using a collocated finite-volume mesh. Convective terms a...

Group Invariant Solution and Conservation Law for a Free Laminar Two-Dimensional Jet

A group invariant solution for a steady two-dimensional jet is derived by considering a linear combination of the Lie point symmetries of Prandtl’s boundary layer equations for the jet. Only two Lie point symmetries contribute to the solution and the ratio of the constants in the linear combination is determined from conservation of total momentum flux in the downstream direction. A conservatio...

On the damped oscillations of an elastic quasi-circular membrane in a two-dimensional incompressible fluid