FLOW OF A FLUID BETWEEN TWO ROTAToING COAXIAL CONES HAVING THE SAME VERTEX

Sekundärströmungen in viskoelastischen Flüssigkeiten bei stationärer und periodischer Bewegung

“…x (1 --r~/a~) 2 x2 + 9 9 In neuester Zeit haben Thomas und Waller8 (17) aueh den Fall eines gekriimmten Rohres yon elliptisehem Quersehnitt behandelt, doch soll darauf hier nieht eingegangen werden.…”

Perturbation Solution of the Steady Newtonian Flow in the Cone and Plate and Parallel Plate Systems

“…The motion in the cone and plate has been examined before. Bhatnagar and Rathna (1963) employed a straightforward linearization of the equations of motion based on the idea of viewing the secondary motions as disturbances on the primary tangential flow. However, because they did not exploit the small angle property from the outset (although they eventually had to invoke it to justify their infinite series approximations), their solutions are in the form of infinite series in the small angular variable.…”

Inertial contributions to friction measurements in thrust bearings

“…Inertial effects on the velocity and pressure fields have been examined for steady flow between a moving cone and a stationary plate 8–10 . Bhatnagar and Rathna 8 linearized the equations of motion (up to first order in the Reynolds number where they assumed that the secondary flows were a perturbation to the base flow), and obtained an infinite series solution for the velocity field. Giesekus 9,10 also performed a similar perturbation to Bhatnagar and Rathna, and obtained solutions for the velocity field for large cone angle systems.…”