... were chosen from a family of four-term sixth-order polynomials based on results from a CFD analysis and a consideration of the wall curvature distribution and its anticipated influence on boundary layer behavior. Inviscid and viscous CFD analyses were performed. The viscous predictions were validated...

... be integrated numerically to yield the distributions of the flow variables along the pipe. The viscosity of the two-phase mixture is assumed to vary with the void fraction according to a polynomial form. Experimental data were obtained for a range of air-water bubbly flow in a horizontal pipe. Prediction...

... and Mehta’s 3 transfer function; it is the functional nature of f ξ which provides interesting results as demonstrated in the following examples performed for a 16:1 area contraction ratio. 1 Geometrical parameters of contraction profile The central fifth-order polynomial...

..., very simple polynomial representations of the integral flow parameters are given. These numerical data are a useful tool for technicians and designers involved in micro-fluidic applications and it is demonstrated that these results can be used (instead of or before a CFD simulation approach...

... in the model are identified with their coordinates with respect to the basis formed by the Polynomial Chaos random variables. A system of linear algebraic deterministic equations are derived for estimating these coordinates. Contributed by the Fluids Engineering Division for publication in the JOURNAL...

...Dongbin Xiu; Didier Lucor; C.-H. Su; George Em Karniadakis We present a generalized polynomial chaos algorithm to model the input uncertainty and its propagation in flow-structure interactions. The stochastic input is represented spectrally by employing orthogonal polynomial functionals from...

... polynomial describing the relationship between the Strouhal number and Reynolds number is obtained. 23 Constant contours of absolute static pressure This work resulted from a need to better understand the fluid dynamics of stock piping systems, and how V-ball valves affect those dynamics...