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Energy Equation
Published in Ahlam I. Shalaby, Fluid Mechanics for Civil and Environmental Engineers, 2018
Application of the energy equation for incompressible, steady, and ideal flow results in the definition of the Bernoulli equation. The viscosity of real flow (a real fluid) introduces a great complexity in a fluid flow situation, namely friction due to the viscous shearing effects. The assumption of ideal flow (inviscid flow) assumes an ideal fluid that has no viscosity and thus experiences no shear stresses (friction) as it flows. Although this is an idealized flow situation that does not exist, such an assumption of ideal flow produces reasonably accurate results in flow systems where friction does not play a significant role. In such ideal flow situations, energy losses that are converted into heat due to friction represent a small percentage of the total energy of the fluid flow. Examples of situations where the assumption of ideal flow include fluids with a low viscosity, where the pipe or channel lengths are relatively short and the pipe diameters and the valve and fitting sizes are large enough to sufficiently handle the discharges. In an ideal flow situation, because there is no friction (μ = 0 and thus τ = 0), flow energy (flow work, or pressure energy) is converted to kinetic energy (or vice versa), with no energy lost to heat.
Review of Basic Laws and Equations
Published in Pradip Majumdar, Computational Methods for Heat and Mass Transfer, 2005
Frictionless Flow or Inviscid Flow For frictionless flow, viscosity μ=0 and flow is defined as inviscid flow. Substituting μ=0, Equation 1.54 gives the momentum equation for inviscid flow as ρDV→Dt=ρg→−∇p
Fluid Mechanics
Published in Raj P. Chhabra, CRC Handbook of Thermal Engineering Second Edition, 2017
Stanley A. Berger, Stuart W. Churchill, J. Paul Tullis, Blake Paul Tullis, Frank M. White, John C. Leylegian, John C. Chen, Anoop K. Gupta, Raj P. Chhabra, Thomas F. Irvine, Massimo Capobianchi
The Bernoulli equation is valid for steady, incompressible, inviscid flow. It may be used to predict pressure variations outside the boundary layer. The stagnation pressure is constant in the uniform inviscid flow far from an object, and the Bernoulli equation reduces to
Shape Optimization and Flow Analysis of Supersonic Nozzles Using Deep Learning
Published in International Journal of Computational Fluid Dynamics, 2022
Aref Zanjani, Amir Mahdi Tahsini, Kimia Sadafi, Fatemeh Ghavidel Mangodeh
In this study, we make the assumption of an inviscid flow and disregard the influence of turbulence. Additionally, we impose the condition of isentropic flow, thereby precluding the occurrence of shockwaves within the nozzle. By incorporating these assumptions, the aforementioned equations can be simplified and expressed in terms of the Prandtl-Meyer function, which will be explained in details in the subsequent section.
Simulation of the fluid-structure interaction of a floating wind turbine
Published in Ships and Offshore Structures, 2019
Bjarne Wiegard, Lars Radtke, Marcel König, Moustafa Abdel-Maksoud, Alexander Düster
The underlying potential theory implies an incompressible, irrotational, and inviscid flow. Accordingly, only pressure loads acting in the normal direction are directly obtained from the solution of the fluid subproblem. Drag forces acting on the body are computed by special means, namely a friction correction method based on the local Reynolds number and near wall velocity.