Describing the motion of a body with an elliptical cross section in a viscous uncompressible fluid by model equations reconstructed from data processing

Borisov, Alexey V.; Кузнецов, С. П.; Mamaev, Ivan S.; Tenenev, V. A.

doi:10.1134/s1063785016090042

Cited by 19 publications

(10 citation statements)

References 12 publications

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“…b. External flow Friction losses are expressed in terms of drag force [33][34][35][36], which is a formulation which accounts the head losses. It is a function of drag coefficient according to equation (46):…”

Section: Nature Of Fluid Dynamic Lossesmentioning

confidence: 99%

A new dimensionless approach to general fluid dynamics problems that accounts both the first and the second law of thermodynamics

Trancossi¹,

Páscoa²

2018

MMEP

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Fluid dynamic systems are usually optimised through the equation of conservation of energy according to the first law of thermodynamics. In the aeronautic sector, many authors are claiming the insufficiency of this approach and are developing studies and models with the aim of coupling the analyses according to the first and the second law of thermodynamics. Second law analysis of internal fluid dynamics has not been studied with the same attention. Just heat exchangers and heat dissipation by electronic circuits are mostly considered. This paper focuses on the analysis of general internal fluid flow problem and recognizes initially it according to the first law of thermodynamics. The energy equation for a control volume is given in integral form along with a discussion on the concepts of total energy, heat and work. The dissipative terms, which need to be minimised to increase the system efficiency, are deeply analysed leading to a new dimensionless formulation of the equation of conservation of energy. It is based on Bejan number, according to the formulation by Bhattacharjee and Grosshandler. This formulation has been directly connected to second law analysis concerning both entropy generation and exergy dissipation making a step toward a future unification of the two alternative formulations of Bejan number which have been historically developed. The ambition of this research is far from providing a definitive solution. Otherwise, it aims to both raise problems and stimulate a discussion. Bejan number has been actually used in the definition of diffusive phenomena, such as convection and diffusion through porous media. Is it reasonable to enlarge its domain to the much larger domain of general fluid dynamics? If this extension will be evaluated possible, what are the potential implications for the future of scientific research? Can be the ambiguity between Hagen number and Bejan number be resolved? Can be the ambiguity between the diffusive definition and the entropy generation definition of Bejan number be solved? Can it be possible to state the equivalence between the two alternative formulations? Is it possible to define fluid dynamic and diffusive problems according to a unified vision in the domain of thermodynamics? What are the implications concerning analysis and optimisation of fluid dynamics phenomena by new equations that couples first and the second law of thermodynamics? Could it have the role of producing an effective unification of a larger multidisciplinary domain?

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Section: Nature Of Fluid Dynamic Lossesmentioning

confidence: 99%

A new dimensionless approach to general fluid dynamics problems that accounts both the first and the second law of thermodynamics

Trancossi¹,

Páscoa²

2018

MMEP

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“…Для лучшего согласования экспериментальных и расчетных результатов необходимо принять во внимание зависимость векторов a и b от поступательной и угловой скорости движения тела (см. [1]). Данное предположение основано на том, что векторы a и b учитывают влияние циркуляции, уровень которой определяется образованием и отрывом вихревых структур [10], причем процесс вихреобразования существенным образом зависит от режима движения тела.…”

Section: заключениеunclassified

“…Как правило, уравнения движения содержат множество параметров, от которых существенным образом зависит динамика системы. Данные параметры могут определяться либо из численных расчетов на основе уравнений Навье -Стокса [1,8], либо из эксперимента [5].…”

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Identification of parameters of the model of toroidal body motion using experimental data

Ветчанин¹,

Гладков²

2018

Nelin. Dinam.

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“…When it comes to modeling the motion of rigid bodies in a viscous fluid, the most detailed description of the system dynamics can be obtained by using a joint numerical solution of the Navier-Stokes equations and equations of body motion [15,36,44]. Such an approach involves rather laborious calculations, but turns out to be useful in constructing various finite-dimensional models of body motion in a fluid [5,19,31]. A qualitative investigation of the motion of smooth bodies in a viscous fluid by means of internal mechanisms was carried out, for example, in [9,10].…”

Section: Introductionmentioning

confidence: 99%

The Motion of a Balanced Circular Cylinder in an Ideal Fluid Under the Action of External Periodic Force and Torque

Vetchanin¹

2019

Nelin. Dinam.

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The motion of a circular cylinder in a fluid in the presence of circulation and external periodic force and torque is studied. It is shown that for a suitable choice of the frequency of external action for motion in an ideal fluid the translational velocity components of the body undergo oscillations with increasing amplitude due to resonance. During motion in a viscous fluid no resonance arises. Explicit integration of the equations of motion has shown that the unbounded propulsion of the body in a viscous fluid is impossible in the absence of external torque. In the general case, the solution of the equations is represented in the form of a multiple series.

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Describing the motion of a body with an elliptical cross section in a viscous uncompressible fluid by model equations reconstructed from data processing

Cited by 19 publications

References 12 publications

A new dimensionless approach to general fluid dynamics problems that accounts both the first and the second law of thermodynamics

A new dimensionless approach to general fluid dynamics problems that accounts both the first and the second law of thermodynamics

Identification of parameters of the model of toroidal body motion using experimental data

The Motion of a Balanced Circular Cylinder in an Ideal Fluid Under the Action of External Periodic Force and Torque

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