Similarity solutions of boundary layer equations for a special non-Newtonian fluid in a special coordinate system

Applied Mathematics and Mechanics (English Edition)

Volumn 25, Issue 5, 2004, Pages 587-594

  Yürüsoy, Muhammet ^a  

^a AFYON KOCATEPE UNIVERSITY   (Turkey)

Author keywords

Boundary layer equation; Lie group; Third grade fluid

Indexed keywords

NON NEWTONIAN FLOW; NONLINEAR EQUATIONS; NUMERICAL ANALYSIS; ORDINARY DIFFERENTIAL EQUATIONS; POTENTIAL FLOW; RUNGE KUTTA METHODS;

BOUNDARY LAYER EQUATION; LIE GROUP; THIRD GRADE FLUID;

BOUNDARY LAYERS;

EID: 4344702987     PISSN: 02534827     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02437607     Document Type: Article

References (14)

1. Acrivos A, Shah M J, Petersen E E. Momentum and heat transfer in laminar boundary layer flows of non-Newtonian fluids past external surface[J]. A I Ch E Jl, 1960, 6: 312-317.
2. Pakdemirli M. Boundary layer flow of power-law past arbitrary profile[J]. IMA Journal of Applied Mathematics, 1993, 50: 133-148.
3. Beard D W, Walters K. Elastico-viscous boundary layer flows[J]. Proc Camb Phil, 1964, 60: 667-674.
4. Astin J, Jones R S, Lockyer P. Boundary layer in non-Newtonian fluids[J]. J Mec, 1973, 12: 527-539.
5. Pakdemirli M. Conventional and multiple deck boundary layer approach to second and third grade fluids[J]. Internal J Engng Sci, 1994, 32(1): 141-154.
6. Yurusoy M, Pakdemirli M. Exact solutions of boundary layer equations of a special non-Newtonian fluid over a stretching sheet[J]. Mechanics Research Communications, 1999, 26(2): 171-175.
7. Kaplun S. The role of coordinate systems in boundary layer theory[J]. ZAMP, 1954, 5: 111-135.
8. Kevorkian J, Cole J D. Perturbation Method in Applied Mathematics[M]. New York: Springer, 1981.
9. Pakdemirli M, Suhubi E S. Boundary layer theory second order fluids[J]. Int J Engng Sci, 1992, 30(4): 523-532.
10. Pakdemirli M, Suhubi E S. Similarity solutions of boundary layer equations for second order fluids[J]. Int J Engng Sci, 1992, 30(5): 611-629.
11. Pakdemirli M. The boundary layer equations of third-grade fluids[J]. Int J Non-Linear Mech, 1992, 27(5): 785-793.
12. Fosdick R L, Rajagopal K R. Thermodynamics and stability of fluids of third grade[J]. Proc R Soc, 1980, 339: 351.
13. Bluman G W, Kumei S. Symmetries and Differential Equations[M]. New York: Springer-Verlag, 1989.
14. Stephani H. Differential Equations: Their Solution Using Symmetries[M]. England: Cambridge University Press, 1989.