Effects of viscous dissipation and heat generation (absorption) in a thermal boundary layer of a non-Newtonian fluid over a continuously moving permeable flat plate

Journal of Applied Mechanics and Technical Physics

Volumn 50, Issue 5, 2009, Pages 819-825

  Mahmoud, M A A ^a   Megahed, A M ^a  

^a BENHA UNIVERSITY   (Egypt)

Author keywords

Heat generation or absorption; Moving surface; Non Newtonian power law fluids

Indexed keywords

A-THERMAL; ECKERT NUMBERS; ENERGY EQUATION; EXACT ANALYTICAL SOLUTIONS; FLAT PLATE; FRICTION FACTORS; HEAT GENERATION OR ABSORPTION; MOVING SURFACE; NON-NEWTONIAN FLUIDS; NON-NEWTONIAN POWER-LAW FLUIDS; PSEUDOPLASTIC FLUID; SKIN-FRICTION COEFFICIENT; SUCTION PARAMETER; TEMPERATURE PROFILES; VISCOUS DISSIPATION;

ABSORPTION; BOUNDARY LAYER FLOW; BOUNDARY LAYERS; FLUIDS; FORCED CONVECTION; FRICTION; HEAT EXCHANGERS; HEAT GENERATION; NEWTONIAN FLOW; VISCOUS FLOW;

NON NEWTONIAN FLOW;

EID: 70349874797     PISSN: 00218944     EISSN: 15738620     Source Type: Journal    
DOI: 10.1007/s10808-009-0111-1     Document Type: Article

References (33)

1. B. C. Sakiadis, "Boundary-layer behavior on continuous solid surfaces. 1. Boundary-layer equations for two-dimensional and axisymmetric flow," AIChE J., 7, 26-28 (1961).
2. B. C. Sakiadis, "Boundary-layer behavior on continuous solid surfaces. 2. Boundary-layer on a continuous flat surface," AIChE J., 7, 221-225 (1961).
3. L. E. Erickson, L. T. Fan, and V. G. Fox, "Heat and mass transfer on a moving continuous flat plate with suction or injection," Ind. Eng. Chem. Fundam., 5, 19-25 (1966).
4. F. K. Tsou, E. M. Sparrow, and R. J. Goldestein, "Flow and heat transfer in the boundary-layer on a continuous moving surface," Int. J. Heat Mass Transfer, 10, 219-235 (1967).
5. C.-H. Chen, "Forced convection over a continuous sheet with suction or injection moving in a flowing fluid," Acta Mech., 138, 1-11 (1999).
6. T. Fang, "Similarity solutions for a moving-flat plate thermal boundary layer," Acta Mech., 163, 161-172 (2003).
7. R. Cortell, "Flow and heat transfer in a moving fluid over a moving flat surface," Theor. Comput. Fluid Dyn., 21, 435-446 (2007).
8. W. R. Schowalter, "The application of boundary layer theory to power-law pseudoplastic fluid: Similar solutions," AIChE J., 6, 24-28 (1960).
9. A. Acrivos, M. J. Shah, and E. E. Petersen, "Momentum and heat transfer in laminar boundary layer flows of non-Newtonian fluids past external surfaces," AIChE J., 6, 312-317 (1960).
10. J. N. Kapur and R. C. Srivastava, "Similar solutions of the boundary layer equations for power-law fluids," Z. Angew. Math. Phys., 14, 383-388 (1963).
11. S. Y. Lee and W. F. Ames, "Similarity solutions for non-Newtonian fluids," AIChE J., 12, 700-708 (1966).
12. B. M. Berkovskii, "A class of self-similar boundary layer problems for rheological power-law fluids," Int. Chem. Eng., 6, 187-201 (1966).
13. A. G. Hansen and R. Y. Na, "Similarity solutions of laminar incompressible boundary layer equations of non-Newtonian fluids," Trans. ASME, J. Basic Eng., 40, 71-74 (1968).
14. E. R. Thompson and W. T. Snyder, "Drag reduction of a non-Newtonian fluid by fluid injection at the wall," J. Hydronaut., 2, 177-180 (1968).
15. E. R. Thompson and W. T. Snyder, "Laminar boundary-layer flows of Newtonian fluids with non-Newtonian fluid injections," J. Hydronaut., 4, 86-91 (1970).
16. C. Y. Liu, "Asymptotic suction flow of power-law fluids," J. Hydronaut., 7, 135-136 (1973).
17. M. J. Huang and B. L. Lin, "Forced convective flow over a flat plate in non-Newtonian power-law fluids," Wärme- und Stoffübrtragung, 27, 399-404 (1992).
18. T. G. Howell, D. R. Jeng, and K. J. De Witt, "Momentum and heat transfer on a continuous moving surface in a power law fluid," Int. J. Heat Mass Transfer, 40, 1853-1861 (1997).
19. J. H. Rao, D. R. Jeng, and K. J. De Witt, "Momentum and heat transfer in a power-law fluid with arbitrary injection/suction at a moving wall," Int. J. Heat Mass Transfer, 42, 2837-2847 (1999).
20. A. K. Sahu, M. N. Mathur, P. Chaturani, and S. Saxena Bharatiya, "Momentum and heat transfer from a continuous moving surface to a power-law fluid," Acta Mech., 142, 119-131 (2000).
21. P. D. Ariel, "On the flow of power-law fluid over a stretching sheet-techniques and solutions," Acta Mech., 156, 13-27 (2002).
22. A. S. Gupta, J. C. Misra, and M. Reza, "Effects of suction or blowing on the velocity and temperature distribution in the flow past a porous flat plate of a power-law fluid," Fluid Dyn. Res., 32, 283-294 (2003).
23. R. Cortell, "A note on magnetohydrodynamic flow of a power-law fluid over a stretching sheet," Appl. Math. Comput., 168, 557-566 (2005).
24. M. A. A. Mahmoud and M. A.-E. Mahmoud, "Analytical solutions of hydromagnetic boundary-layer flow of a non-Newtonian power-law fluid past a continuously moving surface," Acta Mech., 181, 83-89 (2006).
25. A. A. M. Mahmoud amd A. M. Megahed, "On steady hydromagnetic boundary-layer flow of a non-Newtonian power-law fluid over a continuously moving surface with suction," Chem. Eng. Comm., 194, 1457-1469 (2007).
26. I. Pop and R. S. R. Gorla, "Mixed convection similarity solutions of a non-Newtonian fluid on a horizontal surface," Wadie;rme- und Stoffübertragung, 26, 57-63 (1990).
27. R. S. R. Gorla, J. K. Lee, S. Nakamura, I. Pop, "Effects of transverse magnetic field on mixed convection in wall plume of power-law fluids," Int. J. Eng. Sci., 31, 1035-1045 (1993).
28. J. K. Lee, R. S. R. Gorla, S. Nakamura, and I. Pop, "Mixed convection in wall plume of power-law fluids," Acta Mech., 102, 47-58 (1994).
29. A. Chamkha, "Similarity solution for thermal boundary layer on a stretched surface of a non-Newtonian fluid," Int. Comm. Heat Mass Transfer, 24, 643-652 (1997).
30. M. C. Ece and E. Büyük, "Similarity solutions for free convection to power-law fluids from a heated vertical plate," Appl. Math. Lett., 15, 1-5 (2002).
31. L. Zheng, X. Zhang, and J. He, "Suitable heat transfer model for self-similar laminar boundary in power law fluids," J. Thermal Sci., 13, 150-154 (2004).
32. L. C. Zheng, X. Zhang, and C. Q. Lu, "Heat transfer for power-law non-Newtonian fluids," Chinese Phys. Lett., 23, 3301-3304 (2006).
33. H. Zhang, X. Zhang, and L. Zheng, "Numerical study of thermal boundary layer on a continuous moving surface in power law fluids," J. Thermal Sci., 16, 243-247 (2007).