Open AccessStarting solutions for some simple oscillating motions ofsecond‐grade fluids
Author(s) -
Constantin Fetecău,
Corina Fetecǎu
Publication year - 2006
Publication title -
mathematical problems in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.262
H-Index - 62
eISSN - 1026-7077
pISSN - 1024-123X
DOI - 10.1155/mpe/2006/23587
Subject(s) - sine , sine and cosine transforms , trigonometric functions , fourier transform , mathematical analysis , fourier sine and cosine series , duct (anatomy) , mathematics , boundary value problem , simple (philosophy) , transient (computer programming) , pressure gradient , physics , mechanics , classical mechanics , fourier analysis , geometry , computer science , short time fourier transform , fractional fourier transform , operating system , epistemology , pathology , philosophy , medicine
The exact starting solutions corresponding to the motions of a second-grade fluid, due to the cosine and sine oscillations of an infinite edge and of an infinite duct of rectangular cross-section as well as those induced by an oscillating pressure gradient in such a duct, are determined by means of the double Fourier sine transforms. These solutions, presented as sum of the steady-state and transient solutions, satisfy both the governing equations and all associate initial and boundary conditions. In the special case when α1→0, they reduce to those for a Navier-Stokes fluid
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