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ΣΥΜΒΟΛΗ ΣΤΟ ΠΡΟΒΛΗΜΑ ΤΟΥ ΠΡΟΣΔΙΟΡΙΣΜΟΥ ΤΗΣ ΔΟΜΗΣ ΕΝΟΣ ΠΟΛΥΤΡΟΠΙΚΟΥ ΑΣΤΕΡΑ ΥΠΟ ΤΗΝ ΕΠΙΔΡΑΣΗ ΔΙΑΦΟΡΙΚΗΣ ΠΕΡΙΣΤΡΟΦΗΣ, ΜΑΓΝΗΤΙΚΟΥ ΠΕΔΙΟΥ ΚΑΙ...

By ΜΙΧΑΗΛ ΣΙΔΗΡΑΣ

Abstract

IN THE FIRST PART, IT HAS PRIMARILY BEEN DESCRIBED THE "COMPLEX PLANE STRATEGY"(CXPS) AND HAS ALSO BEEN EXPLAINED THE REASON OF IMPLEMENTING THIS METHOD INTHE PRESENT INVESTIGATION. WITH THE CXPS COLLABORATES THE "MULTIBLE PARTITION TECHNIQUE" (MTP) WHICH IS INVOLVED IN THE CORRESPONDING COMPUTATIONS. IN PARTICULAR, THE MODEL OF A DIFFERENTIALLY ROTATING POLYTROPIC STAR IS CONSTRUCTED, WHICH IS UNDER THE COOPERATING INFLUENCE OF A TOROIDAL MAGNETIC FIELD. TOTHIS PURPOSE, PERTURBATION THEORY IS USED ON THE BASIS OF THE FUNDAMENTAL MAGNETIC PERTURBATION PARAMETER H. THE THEORY INCLUDING TERMS UP TO THE FIRST ORDER IN BOTH THE PERTURBATION PARAMETERS U (ROTATION) AND H (MAGNETIC FIELD),IS DEVELOPED AND THE CORRESPONDING DIFFERENTIAL EQUATIONS ARE SET UP. OUR COMPUTATION CONCERN MAINLY CRITICAL ROTATIONS. IN THE SECOND PART OF THE THESIS, WE CONSIDER MODELS WITH DIFFERENTIAL ROTATION OWING TO THE VISCOUS MATERIALOF THE STAR, ON THE BASIS OF THE SO CALLED "COUPLING EQUATION" THAT IS CONSEQUENCE OF THE NAVIER-STOKES EQUATION FOR VISCOUS POLYTROPIC STARS. EMPHASIS ISGIVEN ON THE STUDY OF DISSIPATIVE EFFECTS DUE TO VISCOUS FRICTION, AS THEY ARE DETERMINED BY THE COMBINED ACTION OF ROTATION AND MAGNETIC FIELD. THE COMPUTATIONS SHOW THAT A TOROIDAL MAGNETIC FIELD CAN PLAY THE ROLE OF AN EFFICIENT "LUBRICANT" INJECTED INTO THE MATERIAL OF THE PARTICULAR MAGNETIC MODEL,THUS REDUCING DRASTICALLY THE ENERGY DISSIPATED DUE TO VISCOUS FRICTION.

Topics: COMPUTATIONAL ASTROPHYSICS, DIFFERENTIAL ROTATION, POLYTROPIC STARS, TOROIDAL MAGNETIC FIELD, Visvocity, VISCOUS FRICTION, ΔΙΑΦΟΡΙΚΗ ΠΕΡΙΣΤΡΟΦΗ, Ιξώδες, ΙΞΩΔΗΣ ΤΡΙΒΗ, ΠΟΛΥΤΡΟΠΙΚΟΙ ΑΣΤΕΡΕΣ, ΤΟΡΟΕΙΔΕΣ ΜΑΓΝΗΤΙΚΟ ΠΕΔΙΟ, ΥΠΟΛΟΓΙΣΤΙΚΗ ΑΣΤΡΟΦΥΣΙΚΗ
Publisher: University of Patras
Year: 1995
DOI identifier: 10.12681/eadd/6614
OAI identifier:
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