A structured Reynolds-averaged Navier–Stokes solver is directly coupled to a linear stability theory (LST) include the effect of laminar–turbulent transition in flow simulations. The flowfield variables are used both find streamlines along which can be predicted and provide LST code with required boundary-layer profiles. Instabilities included analysis Tollmien–Schlichting crossflow nature rele...

ON SLOWLY VARYING STOKES WAVES by VINCENT HWA-HING CHU In this thesis investigations are made on the theory of a train of slowly modulated gravity waves propagating over uneven bottom topography. The primary object is to study the interplay of amplitude dispersion the frequency dispersion in waves on the surface of water where the depth is not too shallow compared to a typical wave length. The ...

Transmission loss and noise reduction of reactive mufflers are determined by linear acoustic theory and unsteady flow field study, respectively. The effects of extending the inlet tube of the muffler, adding holes to the extension, and the number of holes on both transmission loss and noise reduction are investigated. In noise reduction analysis, the Navier-Stokes equations and k-ε model are us...

Droplet impact onto a solid surface is modeled and numerically simulated using an ALE formulation of the Navier-Stokes free surface equations. The triple line dynamics aspect is modeled implicitely through the Shikhmurzaev theory. Those equations involve a generalized Navier slip boundary conditions with the variation of the surface tension near the triple line (thus a local Marangoni effect). ...

The stability question of the Lane-Emden stationary gaseous star configurations is an interesting problem arising in astrophysics. We establish both linear and nonlinear dynamical instability results for the Lane-Emden solutions in the framework of the Navier-Stokes-Poisson system with adiabatic exponent 6/5 < γ < 4/3.

Linear response theory of thermal fluctuations or driven motion of tracers provides a basis for exploring viscous, elastic and compressible properties of condensed matter. Applications range from atomic physics [1, 24] where the methods were first developed, to recent applications in microrheology [13, 18, 7, 5, 11, 12, 2]. The emphasis here is on hydrodynamics and deformations of incompressibl...

(1) dp/dt + £ • grad p = Qp/e, whose solution p = pe(t, x, £), t > 0, x G jR , % G R, e > 0. Q is the linearized collision operator corresponding to a spherically symmetric hard potential, and e is a parameter which represents the mean free path. In a series of basic papers, Grad [6], [7], [8] studied the existence and asymptotic behavior of the solution of the initial value problem for (1), wh...

This paper is concerned with the asymptotic stability derived for two-dimensional incompressible Navier–Stokes equations multidelays on Lipschitz domain, which models control theory of 2D fluid flow. By a new retarded Gronwall inequality and estimates stream function Stokes equations, complete trajectories inside pullback attractors are asymptotically stable via restriction generalized Grashof ...