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Axisymmetric rotational disk braking by a curved disk
Author(s) -
Usha R.,
Vimala P.
Publication year - 2003
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.200310045
Subject(s) - rotational symmetry , physics , angular velocity , constant angular velocity , mechanics , torque , thin disk , radius , angular acceleration , classical mechanics , curvature , rotational speed , radius of curvature , geometry , mathematics , mean curvature , stars , computer security , mean curvature flow , computer science , thermodynamics , astronomy
The hydrodynamic disk braking by an axisymmetric curved disk of arbitrary shape is investigated. A viscous fluid separates a rotating flat bottom disk and a non‐rotating axisymmetric curved upper disk. As the two disks are squeezed closer together, increased viscous torque is transmitted to the rotating bottom disk. A perturbation method is used to solve the governing equations of motion for small values of the parameter which is the ratio of the gapwidth to the radius of the disk. Constant force squeezing state is considered to study the braking characteristics, when the bottom disk rotates with constant angular velocity. It is observed that the curvature of the top disk strongly influences the braking characteristics.