Viscous Compressible Heat Conducting Spiralling Flow

Bellamy-Knights, P. G.

doi:10.1093/qjmam/33.3.321

Cited by 8 publications

(12 citation statements)

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“…With the natural phenomenon of the tornado in mind, he investigated the effect of such vortices meeting a plane surface, developing a solution for the boundary-layer flow on such a surface (207) . Later papers, including those by his research students, further developed this theme (208)(209)(210)(211)(212)(213)(214) . However, by the late 1980s his attention turned to establishing exact analytical values of surface singularity distributions for potential flows about ellipses, thus providing bench-mark tests for the panel methods currently popular in aerodynamic calculations (215)(216)(217)(218)(219)(220) .…”

Section: The Department Of the Mechanics Of Fluids And Its Successorsmentioning

confidence: 99%

The Victoria University of Manchester’s contributions to the development of aeronautics

Ackroyd

2007

Aeronaut. j.

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This issue of the Aeronautical Journal celebrates the 50th anniversary of the foundation of the Honours Degree Course in Aeronautical Engineering at the Victoria University of Manchester. The following article therefore describes the aeronautical research and teaching activities of that university up to its recent amalgamation with the University of Manchester Institute of Science and Technology (UMIST) to form the present-day University of Manchester. This juncture provides a further justification for recording the Victoria University’s achievements.Both the Victoria University and UMIST had their roots in the nineteenth century although, apart from the relatively brief period of the First World War, neither of them was particularly involved in aeronautics until after the Second World War. However, as Sections 6.0-10.0 seek to demonstrate, thereafter the Victoria University’s involvement became considerable. The preceding Sections describe the origins of the Victoria University and UMIST and, in the case of the former institution, the subsequent activities of its staff and graduates in engineering and mathematics which, although not always specifically aeronautical in content, nonetheless had a profound influence on the development of the aeronautical sciences.

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Section: The Department Of the Mechanics Of Fluids And Its Successorsmentioning

confidence: 99%

The Victoria University of Manchester’s contributions to the development of aeronautics

Ackroyd

2007

Aeronaut. j.

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“…This scenario is less interesting, since it is driven by external investment of work [W ′ φ < 0, as seen from (69, 70)], while its efficiency and magnitude hold the same constraints (64, 63). An interesting point of this scenario is that it is accompanied by the kinetic energy that increases in the direction of the flow: Let us write from (11,(29)(30)(31)(32)…”

Section: E Work and Energeticsmentioning

confidence: 99%

“…Here the physical meaning of cooling can be clarified along the same lines. We get from (18) and (29)(30)(31)(32)…”

Section: Physical Mechanisms Of the Effect And Cooling Without Vormentioning

confidence: 99%

“…Cylindrical vortices with radial flow were already studied in Refs. [23,25,26,[30][31][32][33][34][35][36][37], but the problem of finding cooling scenarios with proper boundary conditions was (to our knowledge) not posed. Dornbrand [25] and later on Pengelley [26] studied the problem precisely having the same purpose as we: to get a solvable model for vortex cooling.…”

Section: Introductionmentioning

confidence: 97%

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Modeling gasodynamic vortex cooling

Allahverdyan

Fauve

2017

Phys. Rev. Fluids

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We aim at studying gasodynamic vortex cooling in an analytically solvable, thermodynamically consistent model that can explain limitations on the cooling efficiency. To this end, we study a angular plus radial flow between two (co-axial) rotating permeable cylinders. Full account is taken of compressibility, viscosity and heat conductivity. For a weak inward radial flow the model qualitatively describes the vortex cooling effect-both in terms of temperature and of decrease of the stagnation enthalpy-seen in short uniflow vortex (Ranque) tubes. The cooling does not result from external work, and its efficiency is defined as the ratio of the lowest temperature reached adiabatically (for the given pressure gradient) to the actually reached lowest temperature. We show that for the vortex cooling the efficiency is strictly smaller than 1, but in another configuration with an outward radial flow, we found that the efficiency can be larger than 1. This is related to both the geometry and the finite heat conductivity.

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“…For example, Chiocchia (1989) and Ardalan, Meiron & Pullin (1995) assumed steady, inviscid flow and applied hodograph transformations to solve ideal-fluid, compressible vortex problems. Earlier, Mack (1960) and Bellamy-Knights (1980) investigated steady, viscous, compressible vortex flows. In both of these works, the boundary conditions at the centre of the vortex were simplified by driving the flow with a rotating circular cylinder.…”

Section: Introductionmentioning

confidence: 99%

Self-similar, slightly compressible, free vortices

Ellenrieder

Cantwell

2000

J. Fluid Mech.

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Exact and numerical similarity solutions for compressible perturbations to an incompressible, two-dimensional, axisymmetric vortex reference flow are presented. The reference flow consists of a set of two-dimensional, self-similar, incompressible vortices. Similarity variables, which give explicit expressions for the decay rates of the velocities and thermodynamic variables in the vortex flows, are used to reduce the governing partial differential equations to a set of ordinary differential equations. The ODEs are solved analytically and numerically for a Taylor vortex reference flow, and numerically for an Oseen vortex reference flow. The solutions are employed to study the dependences of the temperature, density, entropy, dissipation and radial velocity on the Prandtl number. Additionally, several integral relations, which allow one to trace the energy transfer in a slightly compressible vortex, are derived.

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Viscous Compressible Heat Conducting Spiralling Flow

Cited by 8 publications

References 0 publications

The Victoria University of Manchester’s contributions to the development of aeronautics

The Victoria University of Manchester’s contributions to the development of aeronautics

Modeling gasodynamic vortex cooling

Self-similar, slightly compressible, free vortices

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