Flow of a Particular Class of Non‐Newtonian Fluids near a Rotating Disc

Abstract

Die Bewegungsgleichungen für die stationäre Strömung einer speziellen Klasse nicht‐Newtonscher visko‐elastischer Flüssigkeiten in der Umgebung einer rotierenden Scheibe wurden nach dem Kármán‐Pohlhausen‐Verfahren integriert. Aus der Tendenz der für verschiedene Werte von K = ßω/α erhaltenen Ergebnisse (wobei β und α die Koeffizienten der Visko‐Elastizität bzw. Zähigheit sind) erkennt man, daß für Werte K ≧ 0,5 Effekte auftreten, welche entgegengesetzt zu den Trägheitseffekten wirken.

Computation of flow of viscoelastic fluids by parameter differentiation

“…The corresponding two-dimensional flow has been considered by Rajagopal et al,4 who obtained the perturbation solution for the flow. An exact solution of the same problem was spotted by Troy et a l l 8 Ariel," using an iterative technique, obtained the numerical solution of the full set of equations and demonstrated that the numerical value oft, the dimensionless stress on the sheet, was in complete agreement with the exact analytical value. This fact should also give confidence in the numerical results derived in the present paper, since they were checked using the iterative technique reported in Reference 12.…”

Reduction of Drag Experienced by a Disk Rotating in Viscoelastic Polymer Solutions under Laminar Flow Conditions

“…where r n -722 = 2ThrR 2. (15) The torque M and the axial thrust T are the direetly measured variables. In both cases, the shear rate is related to the angular velocity wby t = w/a.…”