A new approach to the classical Stokes flow problem .2. Series solutions and higher-order applications

This is the second in a series of papers on the Stokes flow past an arbitrary axisymmetrical body. The truncated series solutions of the two infinite systems of simultaneous ordinary differential equations with variable coefficients are obtained for an arbitrary truncation order N. Each series solution together with logarithmic terms is shown to be convergent in the entire physical interval of interest. By the construction of the complete solutions of the systems, the corresponding hydrodynamical problem formulated in terms of the stream function has been solved. As a specimen numerical application, the drag on a prolate spheroid is computed and compared with the exact one. Highly accurate numerical results have been achieved depending on the b/a ratio of the spheroid.


A new approach to the classical Stokes flow problem .1. Methodology and first-order analytical results
Taşeli, Hasan (1997-02-17)
The problem of determining the axisymmetric Stokes flow past an arbitrary body, the boundary shape of which can be represented by an analytic function, is examined by developing an exact method. An appropriate nonorthogonal coordinate system is introduced, and it is shown that the Hilbert space to which the stream function belongs is spanned by the set of Gegenbauer polynomials based on the physical argument that the drag on a body should be finite. The partial differential equation of the original problem ...
A generic identification theorem for groups of finite Morley rank
Berkman, A; Borovik, AV (Wiley, 2004-02-01)
The paper contains a final identification theorem for the 'generic' K*-groups of finite Morley rank.
Oscillation of second order dynamic equations on time scales
Kütahyalıoğlu, Ayşen; Ağacık, Zafer; Department of Mathematics (2004)
During the last decade, the use of time scales as a means of unifying and extending results about various types of dynamic equations has proven to be both prolific and fruitful. Many classical results from the theories of differential and difference equations have time scale analogues. In this thesis we derive new oscillation criteria for second order dynamic equations on time scales.
A sequential classification algorithm for autoregressive processes
Otlu, Güneş; Candan, Çağatay; Çiloğlu, Tolga; Department of Electrical and Electronics Engineering (2011)
This study aims to present a sequential method for the classification of the autoregressive processes. Different from the conventional detectors having fixed sample size, the method uses Wald’s sequential probability ratio test and has a variable sample size. It is shown that the suggested method produces the classification decisions much earlier than fixed sample size alternative on the average. The proposed method is extended to the case when processes have unknown variance. The effects of the unknown pro...
Oscillation of second order matrix equations on time scales
Selçuk, Aysun; Ağacık, Zafer; Department of Mathematics (2004)
The theory of time scales is introduced by Stefan Hilger in his PhD thesis in 1998 in order to unify continuous and discrete analysis. In our thesis, by making use of the time scale calculus we study the oscillation of nonlinear matrix differential equations of second order. the first chapter is introductory in nature and contains some basic definitions and tools of the time scales calculus, while certain well-known results have been presented with regard to oscillation of the solutions of second order matr...
Citation Formats
H. Taşeli, “A new approach to the classical Stokes flow problem .2. Series solutions and higher-order applications,” JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, pp. 233–254, 1997, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/44639.