×

zbMATH — the first resource for mathematics

Numerical study of flow and heat transfer of a non-Newtonian fluid on a rotating porous disk. (English) Zbl 1116.76008
Summary: The unsteady flow and heat transfer of an incompressible viscous non-Newtonian fluid about an infinite rotating porous disk are studied. The effect of the non-Newtonian fluid characteristics and the suction or injection velocity at the surface of the disk on the velocity and temperature distributions as well as the heat transfer is considered. Numerical solutions for the governing equations are obtained over the entire range of the physical parameters.

MSC:
76A05 Non-Newtonian fluids
76U05 General theory of rotating fluids
80A20 Heat and mass transfer, heat flow (MSC2010)
80M25 Other numerical methods (thermodynamics) (MSC2010)
PDF BibTeX XML Cite
Full Text: DOI
References:
[1] von Karman, T., Uber laminare und turbulente reibung, Zamm, 1, 4, 233-235, (1921) · JFM 48.0968.01
[2] Cochran, W.G., The flow due to a rotating disk, Proc. camb. philos. soc., 30, 3, 365-375, (1934) · JFM 60.0729.08
[3] Benton, E.R., On the flow due to a rotating disk, J. fluid mech., 24, 4, 781-800, (1966) · Zbl 0141.43702
[4] Stuart, J.T., On the effects of uniform suction on the steady flow due to a rotating disk, Quart. J. mech. appl. math., 7, 446-457, (1954) · Zbl 0057.18006
[5] Ockendon, H., An asymptotic solution for steady flow above an infinite rotating disk with suction, Quart. J. mech. appl. math., XXV, 291-301, (1972) · Zbl 0258.76075
[6] Kuiken, H.K., The effect of normal blowing on the flow near a rotating disk of infinite extent, J. fluid mech., 47, 4, 789-798, (1971) · Zbl 0213.54303
[7] Mithal, K.G., On the effects of uniform high suction on the steady flow of a non-Newtonian liquid due to a rotating disk, Quart. J. mech. appl. math., XIV, 401-410, (1961) · Zbl 0101.42503
[8] Srivastava, A.C., Flow of non-Newtonian fluids at small Reynolds number between two infinite disks: one rotating and the other at rest, Quart. J. mech. appl. math., XIV, 353-385, (1961) · Zbl 0101.42502
[9] Millsaps, K.; Pohlhausen, K., Heat transfer by laminar flow from a rotating disk, J. aeronaut. sci., 19, 120-126, (1952) · Zbl 0046.18806
[10] S. Ostrach, P.R. Thornton, Compressible flow and heat transfer about a rotating isothermal disk, NACA TN 4320, 1958
[11] Sparrow, E.M.; Gregg, J.L., Heat transfer from a rotating disk to fluids of any Prandtl number, ASME J. heat transfer, 249-251, (1959)
[12] Sparrow, E.M.; Gregg, J.L., Mass transfer, flow, and heat transfer about a rotating disk, ASME J. heat transfer, 1, 294-302, (1960) · Zbl 0093.40904
[13] Tadros, S.E.; Erian, F.F., Generalized laminar heat transfer from the surface of a rotating disk, Int. J. heat mass transfer, 25, 11, 1615-1660, (1982)
[14] Evans, G.H.; Greif, R., Forced flow near a heated rotating disk: a similarity solution, Fluid mech., 22, 5, 804-807, (1988) · Zbl 0662.76104
[15] Palec, G.Le, Numerical study of convective heat transfer over a rotating rough disk with uniform wall temperature, Int. commun. heat mass transfer, 16, 1, 107-113, (1989)
[16] Hirose, K.; Yokoyama, T.; Ouchi, M., Numerical study of convective heat transfer on a horizontal isothermal rotating disk, Trans. jpn. soc. mech. eng., part B, 61, 3770-3775, (1995)
[17] Attia, H.A., Transient flow of a conducting fluid with heat transfer due to an infinite rotating disk, Int. commun. heat mass transfer, 28, 3, 439-448, (2001)
[18] Ames, W.F., Numerical methods in partial differential equations, (1977), Academic Press New York · Zbl 0219.35007
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.