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Fundamentals of Fluid Mechanics
Published in Ethirajan Rathakrishnan, Instrumentation, Measurements, and Experiments in Fluids, 2020
To simplify the discussions, let us assume the flow to be incompressible, i.e., the density is treated as invariant. The basic governing equations for an incompressible flow are the continuity and momentum equations. The continuity equation is based on the conservation of matter. For steady incompressible flow, the continuity equation in differential form is () ∂Vx∂x+∂Vy∂y+∂Vz∂z=0
Fundamentals of Fluid Mechanics
Published in Ethirajan Rathakrishnan, Instrumentation, Measurements, and Experiments in Fluids, 2016
To simplify the discussions, let us assume the flow to be incompressible, i.e., the density is treated as invariant. The basic governing equations for an incompressible flow are the continuity and momentum equations. The continuity equation is based on the conservation of matter. For steady incompressible flow, the continuity equation in differential form is () ∂Vx∂x+∂Vy∂y+∂Vz∂z=0
Fluid Statics
Published in Jenn Stroud Rossmann, Clive L. Dym, Lori Bassman, Introduction to Engineering Mechanics, 2015
Jenn Stroud Rossmann, Clive L. Dym, Lori Bassman
An incompressible fluid is defined as one which requires a very large pressure change to effect a small change in volume. This threshold is so high that in most cases, the fluid’s volume and therefore its density are constant. Most liquids satisfy this requirement. When ρg can be taken to be constant, the equation for p is easily integrated: () ∫p1p2dp=−ρg∫z1z2dz.
Numerical analysis of axial flow cyclone for steam and droplets separation in saturated steam turbine
Published in Energy Sources, Part A: Recovery, Utilization, and Environmental Effects, 2022
Jincheng Wang, Dong Han, Shirui Li, Sijie Gao, Weifeng He, Junjie Chen, Mingrui Zheng, Sheng Wang
The gas flow velocity in the axial cyclone is relatively high, and it is generally in a turbulent state. This study is about a numerical simulation of three-dimensional swirl flow with strong anisotropy. The RSM is combined with the Eulerian–Eulerian approach in the simulation, the pressure-based solver, and SIMPLE scheme are utilized for steady solution in cyclone. Since the pressure and temperature of the fluid change little during the separation process, the following assumptions are introduced into the simulation: It is considered that there is no heat change and exchange in the cyclone, the energy equation is ignored.The fluid is regarded as incompressible whose density is constant.It is considered that there is no phase transition and no mass exchange between two phases.