We consider the steady free surface two-dimensional flow past a semi-infinite flat plate in water of a constant finite depth. The fluid is assumed to be inviscid, incompressible and the flow is irrotational; surface tension at the free surface is neglected. Our concern is with the periodic waves generated downstream of the plate edge. These can be characterized by a depth-based Froude number, F...

We prove the existence of a solution of a free boundary problem for the transonic small-disturbance equation. The free boundary is the position of a transonic shock dividing two regions of smooth flow. Assuming inviscid, irrotational flow, as modeled by the transonic small-disturbance equation, the equation is hyperbolic upstream where the flow is supersonic, and elliptic in the downstream subs...

In this paper a numerical algorithm is described for solving the boundary value problem associated with axisymmetric, inviscid, incompressible, rotational (and irrotational) flow in order to obtain duct wall shapes from prescribed wall velocity distributions. The governing equations are formulated in terms of the stream function ( , ) x y and the function ( , ) x y as independent variables wher...

In this work, a 19-bit Incompressible Generalized Lattice Boltzmann (IGLB) method has been proposed for threedimensional incompressible fluid flow simulation, for the first time. Equilibrium moments in moment space are derived from an incompressible BGKLB method. The incompressible Navier–Stokes equations can be recovered through the Chapman-Enskog multi-scale expansion without artificial compr...

We study approximations of the steady state Stokes problem governed by the power-law model for viscous incompressible non-Newtonian flow using the penalty formulation. We establish convergence and find error estimates.

The development of high-performance thermal systems has increased interest in heat transfer enhancement techniques. The application of additives to heat transfer liquids is one of the noticeable effort to enhance heat transfer. In this paper two-dimensional unsteady incompressible nanofluid flow in a confined jet at the laminar flow regime is numerically investigated. The Mixture model is consi...

The objective of this study is to develop a flow solver that can be used by aerodynamic design environments to analyze a variety of candidate designs in a relatively short period of time. To meet this goal, a combination of flow solvers developed by the second author, AIRPLANE and FLO77, which are well known for their robustness and accuracy, was parallelized. These flow solvers use unstructure...

The flow over the San Antonio class LPD 17 ship is simulated using Computational Fluid Dynamics (CFD) and parallel computers. Both steady-state and time-accurate results are presented for two yaw cases. The computations are done for inviscid flow with no turbulence modeling. Although the flow is highly turbulent and boundary layer effects may not be insignificant, the essential features, such a...