Suitable heat transfer model for self-similar laminar boundary layer in power law fluids

Journal of Thermal Science

Volumn 13, Issue 2, 2004, Pages 150-154

  Zheng, Liancun ^a   Zhang, Xinxin ^a   He, Jicheng ^b  

^a UNIVERSITY OF SCIENCE AND TECHNOLOGY BEIJING   (China)

^b NORTHEASTERN UNIVERSITY   (China)

Author keywords

Boundary layer; Heat transfer; Power law fluid; Similarity solution

Indexed keywords

BOUNDARY LAYERS; HEAT TRANSFER; LAMINAR FLOW; MODELS; NON NEWTONIAN FLOW; SHEAR STRESS;

POWER LAW FLUID; SIMILARITY SOLUTION;

FLOW OF FLUIDS;

EID: 4043089786     PISSN: 10032169     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11630-004-0024-5     Document Type: Article

References (14)

1. Schlichting, H. Boundary Layer Theory. New York: McGraw-Hill, 1979
2. Schowalter, W R. The Application of Boundary-layer Theory to Power-law Pseudoplastic Fluids: Similar Solutions. A. I. Ch. E. Journal, 1960, 6: 24-28
3. Acrivos, A, Shah, M J, Petersen, E E. Momentum and Heat Transfer in Laminar Boundary-layer Flows of Non-Newtonian Fluids Past External Surfaces. A. I. Ch. E. Journal, 1960, 6: 312-317
4. Callegari, A J, Nachman, A. Some Singular, Non-linear Differential Equations Arising in Boundary Layer Theory. J. Math. Anal. Appl., 1978, 46: 96-105
5. Nachman, A, Callegari, A. A Nonlinear Singular Boundary Value Problem in the Theory of Pseudoplastic Fluids. SIAM J. Appl. Math., 1980, 38(3): 275-281
6. Hopwell, T G. Momentum and Heat Transfer on a Continuous Moving Surface in Power Law Fluid. Int. J. Heat Mass Transfer, 1997, 40(9): 1853-1861
7. Wang, T Y. Mixed Convection from a Vertical Plate to Non-newtonian Fluids with Uniform Surface Heat Flux. Int. Comm. in Heat and Mass Transfer, 1995, 22(3): 369-380
8. Wang, T Y. Mixed Convection Heat Transfer from a Vertical Plate to Non-Newtonian Fluids. Int. J. Heat and Fluid Flow, 1995, 16(1): 56-61
9. Hassanien, I A, Abdullah, A A, Gorla, R S R. Flow and Heat Transfer in a Power-law Fluid over a Non-isothermal Stretching Sheet. Math. Comput. Modeling, 1998, 28(9): 105-116
10. Kumari, K, Pop, I, Takhar, H S. Free-convection Boundary-layer Flow of a Non-newtonian Fluid along a Vertical Wavy Surface. Int. J. Heat and Fluid Flow, 1997, 18(6): 625-631
11. Hady, F M. Mixed Convection Boundary-layer Flow of Non-newtonian Fluids on a Horizontal Plate. Applied Mathematics and Computation, 1995, 68: 105-112
12. Zheng, Liancun, Ma, Lianxi, He, Jicheng. Bifurcation Solutions to a Boundary Layer Problem Arising in the Theory of Power Law Fluids. Acta Mathematica Scientia, 2000, 20(2): 19-26
13. Zheng, Liancun, He, Jicheng. Existence and Non-uniqueness of Positive Solutions to a Non-linear Boundary Value Problems in the Theory of Viscous Fluids. Dynamic systems and applications, 1999, 8: 133-145
14. Zheng, Liancun, Zhang, Xinxin, He, Jicheng. Bifurcation Behavior of Reverse Flow Boundary Layer Problem with Special Injection/suction. Chinese Phys. Lett., 2003, 20(1): 83-86