Three-dimensional magnetic fluid boundary layer flow over a linearly stretching sheet

Journal of Heat Transfer

Volumn 132, Issue 1, 2010, Pages 1-8

  Tzirtzilakis, E E ^a   Kafoussias, N G ^b  

^a TECHNOLOGICAL EDUCATIONAL INSTITUTE OF PATRAS   (Greece)

^b UNIVERSITY OF PATRAS   (Greece)

Author keywords

FHD; Low curie temperature; Magnetic fluid; Moderate saturation magnetization; Stretching sheet; Three Dimensional flow

Indexed keywords

DIMENSIONLESS PARAMETERS; FHD; LOW CURIE TEMPERATURE; MAGNETIC FIELD STRENGTHS; MAGNETIC INTERACTIONS; NON-DIMENSIONAL VARIABLE; NUMERICAL CALCULATION; NUMERICAL SOLUTION; NUMERICAL TECHNIQUES; SPECIFIC VALUES; STRETCHING SHEET; STRETCHING SURFACE; THREE-DIMENSIONAL FLOW; WATER BASED MAGNETIC FLUID;

BOUNDARY CONDITIONS; BOUNDARY LAYER FLOW; CURIE TEMPERATURE; DIFFERENTIATION (CALCULUS); EQUATIONS OF MOTION; FINITE DIFFERENCE METHOD; GEL PERMEATION CHROMATOGRAPHY; LAMINAR BOUNDARY LAYER; MAGNETIC FIELDS; MAGNETIC FLUIDS; NONLINEAR EQUATIONS; ORDINARY DIFFERENTIAL EQUATIONS; THREE DIMENSIONAL;

SATURATION MAGNETIZATION;

EID: 77955300672     PISSN: 00221481     EISSN: 15288943     Source Type: Journal    
DOI: 10.1115/1.3194765     Document Type: Article

References (35)

1. Crane, L. J., 1970, "Flow Past a Stretching Plate," Z. Angew. Math. Phys., 21, pp. 645-647.
2. Gupta, P. S., and Gupta, A. S., 1977, "Heat and Mass Transfer on a Stretching Sheet With Suction and Blowing," Can. J. Chem. Eng., 55, pp. 744-746.
3. Chakrabarti, A., and Gupta, A. S., 1979, "Hydromagnetic Flow, Heat and Mass Transfer Over a Stretching Sheet," Q. Appl. Math., 33, pp. 73-78.
4. Carragher, P., and Crance, L. J., 1982, "Heat Transfer on a Continuous Stretching Sheet," Z. Angew. Math. Mech., 62, pp. 564-565.
5. Dutta, B. K., Roy, P., and Gupta, A. S., 1985, "Temperature Field in Flow Over a Stretching Sheet With Uniform Heat Flux," Int. Commun. Heat Mass Transfer, 12, pp. 89-94.
6. Jeng, D. R., Chang, T. C. A., and DeWitt, K. J., 1986, "Momentum and Heat Transfer on a Continuous Moving Surface," ASME J. Heat Transfer, 108, pp. 532-539.
7. Dutta, B. K., 1989, "Heat Transfer From a Stretching Sheet With Uniform Suction and Blowing," Acta Mech., 78, pp. 255-262.
8. Andersson, H. I., 1995, "An Exact Solution of the Navier-Stokes Equations for MHD Flow," Acta Mech., 113, pp. 241-244.
9. Chiam, T. C., 1996, "Heat Transfer With Variable Conductivity in a Stagnation-Point Flow Towards a Stretching Sheet," Int. Commun. Heat Mass Transfer, 23, pp. 239-248.
10. Vajravelu, K. A., and Hadjinicolaou, A., 1997, "Convective Heat Transfer in an Electrically Conducting Fluid at Stretching Surface With Uniform Free Stream," Int. J. Eng. Sci., 35, pp. 1237-1244.
11. Wang, C. Y., 1984, "The Three-Dimensional Flow Due to a Stretching Flat Surface," Phys. Fluids, 27, pp. 1915-1917.
12. Ariel, P. D., 2003, "Generalized Three-Dimensional Flow Due to a Stretching Sheet," Z. Angew. Math. Mech., 83, pp. 844-852.
13. Takhar, H. S., Chamka, A. J., and Nath, G., 2001, "Unsteady Three-Dimensional MHD-Boundary-Layer Flow Due to the Impulsive Motion of a Stretching Surface," Acta Mech., 146, pp. 59-71.
14. Tzirtzilakis, E. E., 2005, "A Mathematical Model for Blood Flow in Magnetic Field," Phys. Fluids, 17, p. 077103.
15. Neuringer, J. L., and Rosensweig, R. E., 1964, "Ferro Hydrodynamics," Phys. Fluids, 7, pp. 1927-1937.
16. Neuringer, J. L., 1966, "Some Viscous Flows of a Saturated Ferro Fluid Under the Combined Influence of Thermal and Magnetic Field Gradients," Int. J. Non-Linear Mech., 1, pp. 123-127.
17. Bailey, R. L., 1983, "Lesser Known Applications of Ferro Fluids," J. Magn. Magn. Mater., 39, pp. 178-182.
18. Rosensweig, R. E., 1985, Ferro Hydrodynamics, Cambridge University Press, Cambridge, MA.
19. Rosensweig, R. E., 1987, "Magnetic Fluids," Annu. Rev. Fluid Mech., 19, pp. 437-463.
20. Arrot, A. S., Heinrich, B., and Templeton, T. L., 1989, "Phenomenology of Ferromagnetism: I. Effects of Magnetostatics on Susceptibility," IEEE Trans. Magn., 25_6_, pp. 4364-4373.
21. Eringen, A. C., and Maugin, G. A., 1990, Electrodynamics of Continua II: Fluids and Complex Media, Springer, New York.
22. Li, X. L., Yao, K. L., and Liu, Z. L., 2007, "Numerical Study on the Magnetic Fluid Flow in a Channel Surrounding a Permanent Magnet Under Temperature Field," Mod. Phys. Lett. B, 21(19), pp. 1271-1283.
23. Andersson, H. I., and Valnes, O. A., 1998, "Flow of a Heated Ferro Fluid Over a Stretching Sheet in the Presence of a Magnetic Dipole," Acta Mech., 128, pp. 39-47.
24. Tzirtzilakis, E. E., and Kafoussias, N. G., 2003, "Biomagnetic Fluid Flow Over a Stretching Sheet With Non Linear Temperature Dependent Magnetization," ZAMP, 54, pp. 551-565.
25. Matsuki, H., Yamasawa, K., and Murakami, K., 1977, "Experimental Considerations on a New Automatic Cooling Device Using Temperature Sensitive Magnetic Fluid," IEEE Trans. Magn., 13(5), pp. 1143-1145.
26. Matsuki, H., and Murakami, K., 1987, "Performance of an Automatic Cooling Device Using a Temperature-Sensitive Magnetic Fluid," J. Magn. Magn. Mater., 65, pp. 363-365.
27. Nakatsuka, K., Hama, H., and Takahashi, J., 1990, "Heat Transfer in Temperature-Sensitive Magnetic Fluids," J. Magn. Magn. Mater., 85, pp. 207-209.
28. Upadhyay, T., Upadhyay, R. V., Mehta, R. V., Aswal, V. K., and Goyal, P. S., 1997, "Characterization of a Temperature-Sensitive Magnetic Fluid," Phys. Rev. B, 55(9), pp. 5585-5588.
29. Upadhyay, R. V., Mehta, R. V., Parekh, K., Srinivas, D., and Pant, R. P., 1999, "Gd-Substituted Ferrite Ferrofluid: A Possible Candidate to Enhance Pyromagnetic Coefficient," J. Magn. Magn. Mater., 201, pp. 129-132.
30. Mukhopadhyay, A., Gangulu, R., Sen, S., and Puri, I. K., 2005, "A Scaling Analysis to Characterize Thermomagnetic Convection," Int. J. Heat Mass Transfer, 48, pp. 3485-3492.
31. John, T., Rannacher, D., and Engel, A., 2007, "Influence of Surface Tension on the Conical Meniscus of a Magnetic Fluid in the Field of a Current-Carrying Wire," J. Magn. Magn. Mater., 309, pp. 31-35.
32. Fruh, W.-G., 2005, "Using Magnetic Fluids to Simulate Convection in a Central Force Field in the Laboratory," Nonlinear Processes Geophys., 12, pp. 877-889.
33. Tzirtzilakis, E. E., and Tanoudis, G. B., 2003, "Numerical Study of Bio Magnetic Fluid Flow Over a Stretching Sheet With Heat Transfer," Int. J. Numer. Methods Heat Fluid Flow, 13(7), pp. 830-848.
34. Kafoussias, N. G., and Williams, E. W., 1993, "An Improved Approximation Technique to Obtain Numerical Solution of a Class of Two-Point Boundary Value Similarity Problems in Fluid Mechanics," Int. J. Numer. Methods Fluids, 17, pp. 145-162.
35. Kafoussias, N. G., and Williams, E. W., 1995, "Thermal-Diffusion and Diffusion-Thermo Effects on Mixed Free-Forced Convective and Mass Transfer Boundary Layer Flow With Temperature Dependent Viscosity," Int. J. Eng. Sci., 33(9), pp. 1369-1384.