The computation of flow in a rotating annulus by the method of artificial compressibility
Suid-Afrikaanse Tydskrif vir Natuurwetenskap en Tegnologie/South African Journal of Science and Technology
| Field | Value | |
| Title | The computation of flow in a rotating annulus by the method of artificial compressibility Die berekening van vloeiing in ’n roterende annulus deur die metode van kunsmatige saamdrukbaarheid | |
| Creator | Grobler, H. Snyman, J. A. | |
| Description | The flow of an incompressible viscuous fluid is studied via the numerical solution of the discretised continuity and Navier-Stokes governing equations. In particular flow in an annulus formed by two coaxial cylinders, each of which may rotate with respect to the other, and where a pressure drop is prescribed over the lengths of the cylinders, is considered. As method of solution Chorin’s method of artificial compressibility is applied in which the time-independent governing equations are transformed into time-dependent auxiliary equations via the introduction of an artificial equation of state. The solution of the auxiliary equations converges to a stationary solution which corresponds to the solution of the original time-independent equations. The behaviour of the fluid, once fully developed laminar flow is reached, is successfully computed. A simple model is also proposed by which the development of flow along the annulus may be computed for any given inflow velocity profile. The computed results are in agreement with what one would expect from the physics of the problem. Die vloeiing van ’n onsaamdrukbare, viskeuse vloeier word ondersoek aan die hand van die numeriese oplossing van die gediskretiseerde Navier-Stokes- en kontinuiteitsbeheervergelykings. In die besonder word vloeiing in ’n annulus bestaande uit twee koaksiale silinders wat elk ten opsigte van die ander kan roteer, en met ’n voorgeskrewe drukval oor die lengte van die silinder, beskou. Die oplossings word bereken deur die toepassing van Chorin se metode van kunsmatige saamdrukbaarheid, waarin die tydonafhanklike beheervergelykings getransformeer word na tydafhanklike hulpvergelykings deur die invoering van ’n kunsmatige toestandsvergelyking. Die oplossing van die hulpvergelykings konvergeer na ’n stasionêre oplossing, wat ooreenstem met die oplossing van die oorspronklike tydonafhanklike beheervergelykings. Die gedrag van die vloeier, wanneer ten voile ontwikkelde laminêre vloeiing bereik word, is met sukses bereken. ’n Eenvoudige model vir die bepaling van ontwikkeling van vloeiing langs die annulus vir enige gegewe invloeisnelheidsprofiel word voorgestel. Die berekende resultate stem ooreen met die resultate wat uit die fisika van die probleem verwag word. | |
| Publisher | AOSIS | |
| Date | 1987-03-17 | |
| Identifier | 10.4102/satnt.v6i1.940 | |
| Source | Suid-Afrikaanse Tydskrif vir Natuurwetenskap en Tegnologie; Vol 6, No 1 (1987); 27-35 Suid-Afrikaanse Tydskrif vir Natuurwetenskap en Tegnologie; Vol 6, No 1 (1987); 27-35 2222-4173 0254-3486 | |
| Language | eng | |
| Relation |
The following web links (URLs) may trigger a file download or direct you to an alternative webpage to gain access to a publication file format of the published article:
https://journals.satnt.aosis.co.za/index.php/satnt/article/view/940/1950
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