Mathematical modeling of biological fluid flows

2014 ◽  
Author(s):  
Vladimir Tregubov
Keyword(s):  
Mathematical Modeling ◽  
Biological Fluid ◽  
Fluid Flows

scholarly journals Flowtrace: simple visualization of coherent structures in biological fluid flows

2016 ◽  
Author(s):  
William Gilpin ◽  
Vivek N. Prakash ◽  
Manu Prakash
Keyword(s):  
Coherent Structures ◽  
Collective Motion ◽  
Biological Fluid ◽  
Source Code ◽  
Fluid Flows ◽  
Flow Structures ◽  
Time Varying ◽  
Middle Ground ◽  
Complex Flow ◽  
User Intervention

1AbstractWe present a simple, intuitive algorithm for visualizing time-varying flow fields that can reveal complex flow structures with minimal user intervention. We apply this technique to a variety of biological systems, including the swimming currents of invertebrates and the collective motion of swarms of insects. We compare our results to more experimentally-diffcult and mathematically-sophisticated techniques for identifying patterns in fluid flows, and suggest that our tool represents an essential “middle ground” allowing experimentalists to easily determine whether a system exhibits interesting flow patterns and coherent structures without the need to resort to more intensive techniques. In addition to being informative, the visualizations generated by our tool are often striking and elegant, illustrating coherent structures directly from videos without the need for computational overlays. Our tool is available as fully-documented open-source code available for MATLAB, Python, or ImageJ at www.flowtrace.org.

Mathematical modeling of fluid flows for underwater missile launch

2006 ◽  
Vol 18 (S1) ◽  
pp. 481-486
Author(s):  
Yong-sheng Cheng ◽  
Hua Liu
Keyword(s):  
Mathematical Modeling ◽  
Fluid Flows

scholarly journals Disks aligned in a turbulent channel

2015 ◽  
Vol 772 ◽  
pp. 1-4 ◽  
Author(s):  
Greg A. Voth
Keyword(s):  
Fluid Flow ◽  
Channel Flow ◽  
Particle Shape ◽  
Particle Density ◽  
Biological Fluid ◽  
Fluid Flows ◽  
Turbulent Channel Flow ◽  
Anisotropic Particles ◽  
Wide Range ◽  
Preferential Alignment

Anisotropic particles are suspended in a wide range of industrial, environmental and biological fluid flows. The orientations of these particles are sometimes randomized by turbulence, but often they are brought into preferential alignment by the fluid flow. In a recently published study, Challabotla, Zhao & Andersson (J. Fluid Mech., vol. 766, 2015, R2) performed the first numerical simulations of inertial disks in a turbulent channel flow. They find that disks can be made to preferentially align either parallel or perpendicular to the wall depending on the particle density. Particle shape also affects alignment, particularly for lower density particles, and the alignment of disks is quite different from the alignment of fibres.

scholarly journals Flowtrace: simple visualization of coherent structures in biological fluid flows

2017 ◽  
Vol 220 (19) ◽  
pp. 3411-3418 ◽  
Author(s):  
William Gilpin ◽  
Vivek N. Prakash ◽  
Manu Prakash
Keyword(s):  
Coherent Structures ◽  
Biological Fluid ◽  
Fluid Flows

Benchmarking in CFD

2004 ◽  
Author(s):  
B. G. Shiva Prasad
Keyword(s):  
Mathematical Modeling ◽  
Fluid Dynamics ◽  
Computational Fluid Dynamics ◽  
Technological Progress ◽  
Fluid Flows ◽  
Rate Of Growth ◽  
Industrial Sectors

CFD use is spreading fast to all industrial and non-industrial sectors. The progress in the science of Computational fluid Dynamics is not keeping pace with its own technological progress, particularly with reference to applications. Mathematical modeling of fluid flows in most cases is an art which depends on intuition. To gain more credibility in the complex computations of flows in modern machinery, it is not just sufficient to debate about validation, but is becoming increasingly necessary to at least start debating about establishing standards for development, distribution and use of CFD codes. Otherwise, not only the nickname of Colorful Fluid Dynamics might become more permanent, but the rate of growth of the technology of Computational Fluid Dynamics and the development of it’s underlying science might be hampered. This paper discusses the problems in application of CFD for industrial flows and suggests possible solutions and the need for unified action by the CFD community including the concept of ‘Global Benchmarking’.

scholarly journals On the rational form of rotary control diaphragms for steam turbines with industrial and cogeneration steam extraction

2021 ◽  
Vol 345 ◽  
pp. 00019
Author(s):  
Arkadiy Zaryankin ◽  
Alexander Akatov ◽  
Ivan Lavyrev ◽  
Mikhail Cherkasov
Keyword(s):  
Mathematical Modeling ◽  
Velocity Field ◽  
Flow Rate ◽  
Fluid Flows ◽  
Flow Path ◽  
Rotor Blades ◽  
Working Fluid ◽  
Steam Turbines ◽  
Rational Form ◽  
Steam Extraction

The Russian park of power steam turbines contains a large number of turbines with adjustable steam extraction from the flow path where rotary control diaphragms are used as flow controllers, which structurally easily fit into the flow path of these turbines. This method of regulating the steam flow rate is accompanied by a decrease in the efficiency of the subsequent stages of the turbine and causes the appearance, at reduced loads, of additional disturbing forces acting on the rotor blades. In the presented materials, a variant of a post-sampling stage with a radial rotary control diaphragm is considered. The performed mathematical modeling of the working fluid flows in such a stage showed that in this case, at all turbine loads, a relatively uniform velocity field is provided when steam enters the nozzle apparatus, which naturally entails the elimination of the noted drawbacks.

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