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Nonlinear Flow Between Permeable Disks Using Computer‐Extended Series Method
Author(s) -
Rudraiah N.,
Dinesh P. A.
Publication year - 2004
Publication title -
studies in applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.164
H-Index - 46
eISSN - 1467-9590
pISSN - 0022-2526
DOI - 10.1111/j.1467-9590.2004.01528.x
Subject(s) - compressibility , nonlinear system , reynolds number , suction , series (stratigraphy) , perturbation (astronomy) , flow (mathematics) , mechanics , incompressible flow , mathematics , mathematical analysis , physics , thermodynamics , geology , turbulence , paleontology , quantum mechanics
The problem of two‐dimensional, steady, nonlinear flow of an incompressible, viscous fluid between two parallel permeable disks is studied using the computer‐extended series solution (CESS). The limitation of the classical regular perturbation technique (RPT) in solving this problem is highlighted and the CESS method in conjunction with Padé approximation is advocated to analyze the problem for much larger values of suction/injection Reynolds number R and to achieve higher accuracy. The skin‐friction coefficient and coefficient of pressure distribution are evaluated for different values of R . The advantages of using CESS method over the RPT and numerical technique are discussed.