Direct numerical simulation of a turbulent flow in a channel having periodic pressure gradient

• Published in: International journal of heat and fluid flow 1995-10, Vol.16 (5), p.333-340
• Main Authors: Miyake, Yutaka, Tsujimoto, Koichi, Beppu, Hideki
• Format: Article
• Language: English
• Subjects: channel flow; direct numerical simulation; Exact sciences and technology; Flows in ducts, channels, nozzles, and conduits; Fluid dynamics; Fundamental areas of phenomenology (including applications); Physics; pressure gradient; turbulence; turbulence models; Turbulence simulation and modeling; Turbulent flows, convection, and heat transfer
• ISSN: 0142-727X; 1879-2278
• DOI: 10.1016/0142-727X(95)00053-S

The intent of this paper is to contribute database information for a flow less complicated than a backward step flow and less simple than a flat channel flow, demonstrating the influence of pressure gradient in an internal flow and serving to stimulate the creation of new improved turbulence models. A direct numerical simulation (DNS) was conducted for a turbulent channel flow having a periodic pressure gradient; i.e., a channel having flat plate walls, a solid one on one side and a porous one on the other side, which allows variable strength injection /suction of fluid. The Reynolds number based on the mean friction velocity on the two walls and the half width of the flow passage is 300. The mean flow field as well as such statistical quantities of turbulence as fluctuation velocities, and Reynolds stresses are presented, with a discussion of the influence of the periodic pressure gradient. The energy budget for the transport equations for the turbulent stresses is also included. The momentum balance is given in sections normal to the mean flow. It is demonstrated that although the thin layer approximation is valid, the pressure gradient effect in this flow is different from that in a boundary-layer flow.