2017 ◽  
Vol 26 (1-2) ◽  
pp. 43-54 ◽  
Author(s):  
Konstantinos A. Lazopoulos ◽  
Anastasios K. Lazopoulos

AbstractBasic fluid mechanics equations are studied and revised under the prism of fractional continuum mechanics (FCM), a very promising research field that satisfies both experimental and theoretical demands. The geometry of the fractional differential has been clarified corrected and the geometry of the fractional tangent spaces of a manifold has been studied in Lazopoulos and Lazopoulos (Lazopoulos KA, Lazopoulos AK. Progr. Fract. Differ. Appl. 2016, 2, 85–104), providing the bases of the missing fractional differential geometry. Therefore, a lot can be contributed to fractional hydrodynamics: the basic fractional fluid equations (Navier Stokes, Euler and Bernoulli) are derived and fractional Darcy’s flow in porous media is studied.


Author(s):  
J. H. Horlock ◽  
J. D. Denton

In the early development of gas turbines, many empirical design rules were used; for example in obtaining fluid deflection using the deviation from blading angles, in the assumption of zero radial velocities (so-called radial equilibrium) and in expressions for clearance loss (the Lakshminarayana formulae). The validity of some of these rules, and the basic fluid mechanics behind them, is examined by use of modern ideas and CFD codes. A current perspective of CFD in design is given, together with a view on future developments.


Author(s):  
Claude Franceschi ◽  
Massimo Cappelli ◽  
José Maria Escribano ◽  
Erika Mendoza

Dynamic Fractioning of the Gravitational Hydrostatic Pressure (DFGHSP) is a pillar of a hemodynamic model of the venous pathophysiology. It describes how the valvo-muscular pump varies the distal venous pressure in the lower limbs. It results from an inductive reasoning based on clinical signs and instrumental data at rest and during the action of the valvo-muscular pump of the calf. It does not claim to be the final truth, but a new "as if" model that improved the diagnosis and the treatment of the venous insufficiency (CHIVA, French acronym for Cure Conservatrice et Hémodynamique de l’Insuffisance Veineuse en Ambulatoire) according to several randomized studies and meta-analyses. That approach overturns the classic diagnosis and treatment of venous insufficiency because it is conservative and opposes the widely spread destructive based view. It needs a minimal study of basic fluid mechanics which can explain venous hemodynamics, the core of venous pathophysiology. The proposed DFGHSP fluid mechanics model is compared with the hemodynamic clinical and instrumental data in order to assess its pathophysiologic relevance.


Author(s):  
Andrew Trivett ◽  
Andrew Milne ◽  
Cecile Devaud ◽  
Tyler Gallant

The typical fluid mechanics introduction in mechanical engineering covers basic fluid statics, forces on submerged bodies, control volumes, continuity, conservation of momentum, conservation of energy, Reynolds' transport theorem, internal and external flows. Students often struggle with the basic concepts and how they might apply to a real system.In the winter of 2015, a new set of open-ended labs were created for  mechanical engineering students. Teams of 3 or 4 students in a third-year class of 110 were each given a small engine, and removed the carburetors. The series of labs had them discover some of the principles within the  small carburetor from a single-cylinder 4-stroke gasoline engine. Students were asked to explore and explain how the carburetor worked, and then progressed through a set of hands-on labs culminating with a design modification and performance measurement of a real carburetor. At each stage, the students applied principles of fluid statics, control volumes,  internal flow losses, and external flow drag to the physical device.The paper will describe the specific activities, and track the evolution of refinements to the experience through three implementations of the same course by three different instructors. Student feedback and measured evidence of learning will be reported to help justify the evolution of the  activity. The scalability of the activity will be discussed.


Author(s):  
H. A. Stone

The topics discussed are all related to basic fluid mechanics. In these introductory notes I highlight some of the main features of fluid flows and their mathematical characterization. There is much physical intuition encapsulated in the differential equations, and one of our goals is to gain more experience (i) understanding the governing equations and various related principles of kinematics, (ii) developing intuition with approximating the equations, (iii) applying the principles to a wide range of problems, which includes (iv) being able to rationalize scaling laws and quantitative trends, often without having a detailed solution in hand. Where possible we provide examples of the ideas with ‘soft interfaces’ in mind.


1989 ◽  
Vol 16 (2) ◽  
pp. 208-208
Author(s):  
Michael Isaacson
Keyword(s):  

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