An Exponential Series Method for the Solution of Free Convection Boundary Layer Flow in a Saturated Porous Medium

References

[1] J. A. D. Ackroyd, “A Series Method for the Solution of Lami-nar Boundary Layers on Moving Surfaces,” Journal of Applied Mathematics and Physics (ZAMP), Vol. 29, No. 5, 1978, pp. 729-741. doi:10.1007/BF01589285

[2] N. Afzal, “Minimum Error Solutions of Boundary Layer Equations,” Proceedings Mathematical Sciences, Vol. 91, No. 3, 1982, pp. 183-193. doi:10.1007/BF02881029

[3] P. D. Ariel, “Stagnation Point Flow with Suction; an Approximate Solution,” Journal of Ap-plied Mechanics, Vol. 61, No. 4, 1994, pp. 976-978. doi:10.1115/1.2901589

[4] P. Cheng, “Combined Free and Forced Convection Flow about Inclined Surfaces in a. Porous Medium,” International Journal of Heat and Mass Transfer, Vol. 20, No. , 1977, pp. 807

[5] P. Cheng, “Similarity Solu-tions for Mixed Convection From Horizontal Impermeable Surfaces in Saturated Porous Medium,” International Journal of Heat and Mass Transfer, Vol. 20, No. 9, 1977, pp. 893-898.
doi:10.1016/0017-9310(77)90059-X

[6] P. Cheng, “The In-fluence of Lateral Mass Flux on Free Convection Boundary Layers in a Saturated Porous Medium,” International Journal of Heat and Mass Transfer, Vol. 20, No. 3, 1977, pp. 201-206.
doi:10.1016/0017-9310(77)90206-X

[7] P. Cheng and W. J. Minkowycz, “Free Convection about a Vertical Flat Plate Em-bedded in a Porous Medium with Application to Heat Transfer from a Dike,” Journal of Geophysical Research, Vol. 82, No. B14, 1977, pp. 2040-2044. doi:10.1029/JB082i014p02040

[8] R. Eichhorn, “The Effect of Mass Transfer on Free Convection,” Journal of Heat Trans-fer, Vol. 82, No., 1960, pp. 260

[9] L. E. Erickson, L. T. Fan and V. G. Fox, “Heat and Mass Transfer on a Moving Con-tinuous Flat Plate with Suction or Injection,” Industrial & En-gineering Chemistry Fundamentals, Vol. 5, No. 1, 1966, pp. 19-25.
doi:10.1021/i160017a004

[10] P. S. Gupta and A. S. Gupta, “Heat and Mass Transfer on a Stretching Sheet with Suction or Blowing,” Canadian Journal of Chemical Engineering, Vol. 55, No. 6, 1977, pp. 744-746. doi:10.1002/cjce.5450550619

[11] T. K. Kravchenko and A. I. Yablonskii, “Solution of an Infinite Boundary Value Problem for Third Order Equation,” Differential’nye Uraneniya, Vol. 1, No. , 1965, pp. 327

[12] C. Y. Kol, E. M. Sparrow and J. P. Hartnett, “ ”, International Journal of Heat and Mass Trans-fer, Vol. 2, No. , 1961, pp. 69

[13] I. Mabuchi, “The Effect of Blowing or Suction on Heat Transfer by Free Convection from a Vertical Flat Plate,” Bulletin of the JSME, Vol. 6, No., 1960, pp. 223- .

[14] E. Magyari and B. Keller, “Exact Solutions For Self Similar Boundary Layer Flows Induced by Permeable Stretching Walls,” European Journal of Mechanics B/Fluids, Vol. 19, No. 1, 2000, pp. 109-122.
doi:10.1016/S0997-7546(00)00104-7

[15] C. Mamaloukas, S. Spartalis and H. P. Mazumadar, “MHD Flow of a Newtonian Fluid over a Stretching Sheet; An Approximate Solution,” In-ternational Journal of Computational and Numerical Analysis and Applications, Vol. 1, No. 3, 2002, pp. 229-.

[16] J. H. Merkin, “Free Convection Boundary Layers in a Saturated Porous Medium with Lateral Mass Flux,” International Journal of Heat and Mass Transfer, Vol. 21 No. 12, 1978, pp. 1499-1504.
doi:10.1016/0017-9310(78)90006-6

[17] W. H. H. Press, B. P. Flannery, S. A. Teulosky and W. T. Vetterling, “Numerical Recipes in C,” Cambridge University Press, Cambridge, 1987.

[18] S. Riesz, “Introduction to Dirichler Series,” Cam-bridge University Press, Cambridge, 1957.

[19] P. L. Sachdev, N. M. Bujurke and V. B. Awati, “Boundary Value Problems for Third Order Nonlinear Ordinary Differential Equations,” Stud-ies in Applied Mathematics, Vol. 115, No. 3, 2005, pp. 303-318.
doi:10.1111/j.1467-9590.2005.00310.x

[20] B. C. Sakiadis, “Boundary Layer Behavior on Continuous Solid Surfaces,” AIChE Journal, Vol. 7, No. 1, 1961, pp. 26-28. doi:10.1002/aic.690070108

[21] T. D. M. A. Samuel and I. M. Hall, “On the Series Solution to the Boundary Layer with Sta-tionary Origin on a Continuous, Moving Porous Surface,” Proceedings of the Cambridge Philosophical Society, Vol. 73, No. 1, 1973, pp. 223

[22] E. M. Sparow and R. D. Cess, “Free Convection with Blowing or Suction,” Journal of Heat Trans-fer, Vol. 80 No. 6, 1961, pp. 387-389.