The swimming of a micro-organism by the propagation of helical waves on a long slender flagellum is analysed. The model developed by Higdon (1979) is used to study the motion of an organism with a spherical cell body (radius A ) propelled by a cylindrical flagellum (radius a, length L). The average swimming speed and power consumption are calculated for helical waves (amplitude a, wavenumber k)...

After reviewing the background, this article discusses the recently discovered examples of hybrid propagating structures consisting of vortex dipoles and comoving gravity waves undergoing wave capture. It is shown how these examples fall outside the scope of the Lighthill theory of spontaneous imbalance and, concomitantly, outside the scope of shallow-water dynamics. Besides the fact that going...

In contrast to computational aerodynamics, which has advanced to a fairly mature state, computational aeroacoustics (CAA) has only recently emerged as a separate area of study. Following a discussion of the classical field of aeroacoustics as introduced by Lighthill, the paper provides an overview and analysis of the problems associated with utilizing standard computational aerodynamics procedu...

The hybrid aeroacoustic approach is an efficient way to address the issue of disparity scales in Computational AeroAcoustics (CAA) at low Mach numbers. In present paper, three wave equations governing propagation flow-induced sound number flows, namely Perturbed Convective Wave Equation (PCWE), Ribner’s Dilatation (RIB) equation, and Lighthill’s are applied using Finite Element Method (FEM). An...

An interesting physical phenomenon was recently observed when a fresh-water basin is covered by thin ice film that has properties similar to the property of rubber membrane. Surface waves can be generated under action wind on air–water interface contains an film. The modulation hydro-elastic (HEWs) in deep water blown with uniform vertical profile studied here terms airflow velocity versus wave...

In this paper, we consider the modulation instability of a quasiharmonic flexural wave propagating in homogeneous beam fixed on nonlinear elastic foundation. The dynamic behavior is determined by Timoshenko's theory. model, refining technical theory rod bending, assumes that crosssections remain flat, but not perpendicular to deformable midline rod; normal stresses sites parallel axis are zero;...

In this paper, we implement computational methods, namely the local fractional natural homotopy analysis method (LFNHAM) and decomposition (LFNDM), to examine solution for Lighthill–Whitham–Richards (LFLWR) model occurring in a fractal vehicular traffic flow. The LWR approach preferably models flow represents patterns via supposition of speed–density equilibrium relationship continuity equation...

The head-on collision between two-counter-propagating electron acoustic solitons and double layers (DLs) in an unmagnetized collisionless multi-species plasma consisting of inertial cold fluid (α, q)-distributed hot electrons positrons has been analyzed with the stationary background massive positive ions. For nonlinear analysis colliding wave phenomena, coupled Korteweg–de Vries equation (KdVE...