In this paper, we investigate steady two-dimensional free-surface flows of an inviscid and incompressible fluid emerging from a nozzle, falling under gravity impinging onto horizontal wall. More precisely, for any given atmosphere pressure $$p_{atm}$$ appropriate incoming total flux Q, establish the existence jet with gravity. The two free surfaces initiate smoothly at endpoints nozzle become t...

Recent numerical studies in the area of transition to turbulence discovered that the classical plane Couette flow, plane Poiseuille flow, and pipe Poiseuille flow share some universal 3D steady coherent structure in the form of a “streak-roll-critical layer”. As the Reynolds number approaches infinity, the steady coherent structure approaches a 3D limiting shear of the form (U(y, z), 0, 0) in v...

Flow in the first two-stage of V 94.2 gas turbine is simulated numerically. In this turbine, the second stator is clocked relative to the first stator to different positions. Steady-state analysis was carried out by varying the circumferential relative position of the consecutive stator vanes to study the effects of the clocking on turbine performance. A density based compressible inviscid ...

A high-order accurate finite volume method on Cartesian meshes has been developed to solve viscous incompressible flows using the general pressure equation (GPE). The GPE is a evolution that replaces divergence-free constraint when computing flows. spatial accuracy of current deduced from flow reconstruction model conserved integrals, and computations flux integrals. Roe’s difference scheme was...

Various factors can be responsible for the flow of incompressible fluid under gravity. Torricelli's theorem gives relationship between efflux velocity an incompressible, gravity-driven from orifice and height liquid above it. The concept original derivation Torricelli’s is limited in application because certain inherent assumptions method derivation. An alternate use Bernoulli’s principle. Howe...

Abstract We study immiscible two-phase flow of a compressible and an incompressible fluid inside capillary tube varying radius under steady-state conditions. The is Newtonian the inviscid ideal gas. surface tension associated with interfaces between two fluids introduces forces that vary along due to variation in radius. interplay effects compressibility results set properties are different fro...

Results are presented for a new class of selfsimilar solutions to the steady, axisymmetric Navier-Stokes equations, modelling the flows in vortices whose viscous cores grow proportionally to an arbitrary power of the axial coordinate. Effects of Reynolds number, growth rate, free-stream Mach number and vortex strength are investigated. Results for incompressible vortices are compared to experim...

A numerical approach called “SIMPLER” is used to investigate the  flow and heat transfer characteristics in a square driven cavity. The two-dimensional incompressible Navier-Stokes equations were solved and the results are depicted as contour plots of stream function, vorticity, and total pressure for Reynolds numbers from 1 to 10000. At the higher values of Reynolds number, an inviscid core re...