zbMATH — the first resource for mathematics

Geometry Search for the term Geometry in any field. Queries are case-independent.
Funct* Wildcard queries are specified by * (e.g. functions, functorial, etc.). Otherwise the search is exact.
"Topological group" Phrases (multi-words) should be set in "straight quotation marks".
au: Bourbaki & ti: Algebra Search for author and title. The and-operator & is default and can be omitted.
Chebyshev | Tschebyscheff The or-operator | allows to search for Chebyshev or Tschebyscheff.
"Quasi* map*" py: 1989 The resulting documents have publication year 1989.
so: Eur* J* Mat* Soc* cc: 14 Search for publications in a particular source with a Mathematics Subject Classification code (cc) in 14.
"Partial diff* eq*" ! elliptic The not-operator ! eliminates all results containing the word elliptic.
dt: b & au: Hilbert The document type is set to books; alternatively: j for journal articles, a for book articles.
py: 2000-2015 cc: (94A | 11T) Number ranges are accepted. Terms can be grouped within (parentheses).
la: chinese Find documents in a given language. ISO 639-1 language codes can also be used.

a & b logic and
a | b logic or
!ab logic not
abc* right wildcard
"ab c" phrase
(ab c) parentheses
any anywhere an internal document identifier
au author, editor ai internal author identifier
ti title la language
so source ab review, abstract
py publication year rv reviewer
cc MSC code ut uncontrolled term
dt document type (j: journal article; b: book; a: book article)
Rotating flow of a third grade fluid by homotopy analysis method. (English) Zbl 1177.76009
Summary: The steady flow of a rotating third grade fluid past a porous plate has been analyzed. The resulting nonlinear boundary value problem has been solved using homotopy analysis method. Explicit expression for the velocity field has been obtained. The variations of velocity with respect to rotation, suction, blowing and non-Newtonian parameters are shown and discussed.

76A05Non-Newtonian fluids
76M99Basic methods in fluid mechanics
76U05Rotating fluids
Full Text: DOI
[1] S.J. Liao, The proposed homotopy analysis technique for the solution of nonlinear problems, PhD thesis, Shanghai Jiao Tong University, 1992
[2] Liao, S. J.: A uniformly valid analytic solution of 2D viscous flow past a semi-infinite flat plate. J. fluid mech. 385, 101-128 (1999) · Zbl 0931.76017
[3] Liao, S. J.: An analytic approximate technique for free oscillations of positively damped systems with algebraically decaying amplitude. Int. J. Nonlinear mech. 38, 1173-1183 (2003) · Zbl 05138214
[4] Liao, S. J.: On the analytic solution of magnetohydrodynamic flows of non-Newtonian fluids over a stretching sheet. J. fluid mech. 488, 189-212 (2003) · Zbl 1063.76671
[5] Ayub, M.; Rasheed, A.; Hayat, T.: Exact flow of a third grade fluid past a porous plate using homotopy analysis method. Int. J. Eng. sci. 41, 2091-2103 (2003) · Zbl 1211.76076
[6] Liao, S. J.; Pop, I.: Explicit analytic solution for similarity boundary layer equations. Int. J. Heat mass trans. 47, 75-85 (2004) · Zbl 1045.76008
[7] H. Xc, An explicit analytic solution for free convection about a vertical flat plate embedded in a porous medium by means of homotopy analysis method, Appl. Math. Comput., in press
[8] Hayat, T.; Khan, M.; Ayub, M.: On the explicit analytic solutions of an Oldroyd 6-constant fluid. Int. J. Eng. sci. 42, 123-135 (2004) · Zbl 1211.76009
[9] Hayat, T.; Wang, Y.; Siddiqui, A. M.; Hutter, K.; Asghra, S.: Perstaltic transport of a third-order fluid in a circular cylinderical tube. Math. mod. Meth. appl. Sci. 12, 1691-1706 (2002) · Zbl 1041.76002
[10] Fosdick, R. L.; Rajagopal, K. R.: Thermodynamics and stability of fluids of third grade. Proc. roy. Soc. London A 339, 351-377 (1980) · Zbl 0441.76002
[11] Rajagopal, K. R.; Gupta, A. S.: An exact solution for a non-Newtonian fluid past an infinite porous plate. Meccanica. 19, 158-160 (1984) · Zbl 0552.76008