期刊
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
卷 182, 期 2, 页码 362-371出版社
ELSEVIER
DOI: 10.1016/j.cam.2004.12.017
关键词
Blasius problem; analytic solution; homotopy analysis method
In this article a totally analytic solution of the nonhomogeneous Blasius problem is obtained using the homotopy analysis method (HAM). This solution converges for 0 <= eta < infinity. Existence and nonuniqueness of solution is also discussed. An implicit relation between the velocity at the wall lambda and the shear stress alpha = f '' (0) is obtained. The results presented here indicate that two solutions exist in the range 0 lambda(c). An analytical value of the critical value of lambda(c) was also obtained for the first time. (c) 2005 Elsevier B.V. All rights reserved.
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