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Analytical and Numerical Solutions of Nonlinear Differential Equations Arising in Non-Newtonian Fluid Flows

✍ Scribed by K. Vajravelu; J.R. Cannon; D. Rollins


Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
117 KB
Volume
250
Category
Article
ISSN
0022-247X

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✦ Synopsis


Solutions for a class of nonlinear second order differential equations, arising in a viscoelastic fluid flow at a rotating cylinder, are obtained. Furthermore, using the Shauder theory and the perturbation technique existence, uniqueness and analytic-Ε½ ity results are established. Moreover, the exact analytical solutions in integral . form are compared with the corresponding numerical ones.


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very different when the separation between the circular patches is small, these resonant frequencies tend to merge as the separation between the patches increases and the coupling between the patches accordingly decreases. Also, whereas the resonant frequencies of the even mode are larger than those