×

zbMATH — the first resource for mathematics

Flow and heat transfer in a power-law fluid over a nonisothermal stretching sheet. (English) Zbl 1098.76531
Summary: A boundary layer analysis has been presented for the problem of flow and heat transfer from a power-law fluid to a continuous stretching sheet with variable wall temperature. A similarity transformation is applied to reduce the Navier-Stokes and energy equations, and the resulting system of nonlinear ordinary differential equations is solved using the expansion of Chebyshev polynomials. Parametric studies are performed to investigate the effects of non-Newtonian flow index, generalized Prandtl number, power-law surface temperature and surface mass transfer rate. The friction factor and heat transfer rate results exhibit strong dependence on the fluid parameters.

MSC:
76D10 Boundary-layer theory, separation and reattachment, higher-order effects
80A20 Heat and mass transfer, heat flow (MSC2010)
PDF BibTeX XML Cite
Full Text: DOI
References:
[1] Sakiadis, B.C., Boundary layer behavior on continuous solid surfaces: I. boundary layer equations for two-dimensional and axisymmetric flow, Aiche journal, 7, 26-28, (1961)
[2] Sakiadis, B.C., Boundary layer behavior on continuous solid surface: II boundary layer on a continuous flat surface, Aiche journal, 7, 221-225, (1961)
[3] Tsou, F.; Sparrow, E.; Goldstein, R.J., Flow and heat transfer in the boundary layer on a continuous moving surface, Int. J. heat mass transfer, 10, 219-235, (1967)
[4] Gupta, P.S.; Gupta, A.S., Heat and mass transfer on a stretching sheet with suction or blowing, Can. J. chem. engng., 55, 744-746, (1977)
[5] Crane, L.J., Flow past a stretching plane, Z. angew math. phy., 21, 645-647, (1970)
[6] Velggaar, J., Laminar boundary layer behavior on continuous accelerating surfaces, Chem. eng. sci., 32, 1517-1525, (1977)
[7] Grubka, L.J.; Bobba, K.M., Heat transfer characteristics of a continuous stretching surface with variable temperature, ASME journal of heat transfer, 107, 248-250, (1985)
[8] Hassanien, I.A.; Gorla, R.S.R., Heat transfer to a micropolar fluid from a nonisothermal stretching sheet with suction and blowing, Acta mechanica journal, 84, 191-201, (1990)
[9] Hassanien, I.A., Flow and heat transfer from a continuous surface in parallel free stream of viscoelastic second order fluid, Applied scientific research journal, 49, 335-344, (1992) · Zbl 0763.76005
[10] Bird, R.B.; Stewart, W.E.; Lightfood, E.N., Transport phenomena, (1960), John Wiley New York
[11] Anderson, H.; Irgens, F., Film flow of power law fluid, ()
[12] El-Gendi, S.E., Chebyshev solution of differential, integral and integro-differential equations, Computer journal, 12, 282-287, (1969) · Zbl 0198.50201
[13] Abramowtz, M.; Stegun, L.A., (), 55
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.