Journal ArticleDOI
Local non- similarity thermal boundary- layer solutions
Ephraim M Sparrow,H. S. Yu +1 more
TLDR
In this article, a solution method is described and applied for treating non-similar thermal boundary layers, where the solutions are locally autonomous and are found by solving quasi-ordinary differential equations of the similarity type.Abstract:
A solution method is described and applied for treating non-similar thermal boundary layers. The solutions are locally autonomous (that is, independent of information from other streamwise locations) and are found by solving quasi-ordinary differential equations of the similarity type. All non-similar terms appearing in the conservation equations are retained without approximation, and only in derived subsidiary equations are terms selectively neglected. The accuracy of the results can be appraised from comparisons internal to the method itself. Thermal boundary-layer non-similarity arising both from velocity-field, non-similarity and from streamwise variations of surface temperature are analyzed. Numerical results for the surface heat transfer and for the boundary-layer temperature distribution are presented for various physical situations.read more
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Journal ArticleDOI
Radiation effect on mixed convection along a vertical plate with uniform surface temperature
TL;DR: In this article, the effect of radiation on the forced and free convection flow of an optically dense viscous incompressible fluid along a heated vertical flat plate with uniform free stream and uniform surface temperature with Rosseland diffusion approximation was investigated.
OtherDOI
Deformation of host rocks and flow of magma during growth of minette dikes and breccia-bearing intrusions near Ship Rock, New Mexico
Paul T. Delaney,David Pollard +1 more
TL;DR: In this paper, the authors proposed a method to solve the problem of the "missing link" problem: the "hidden link" between the two dimensions of a node and its neighbors.
Journal ArticleDOI
The effect of radiation on free convection from a porous vertical plate
TL;DR: In this paper, the effect of radiation on the natural convection flow of an optically dense incompressible fluid along a uniformly heated vertical plate with a uniform suction was analyzed using a series solution for small values of ξ (a scaled streamwise coordinate); an asymptotic solution for large ξ ; and a full numerical solution.
Journal ArticleDOI
Free convection about a vertical cylinder embedded in a porous medium
W. J. Minkowycz,Cheng Ping +1 more
TL;DR: In this paper, an analysis is made for free convective flow about a vertical cylinder embedded in a saturated porous medium, where surface temperature of the cylinder varies as x λ, a power function of distance from the leading edge.
Journal ArticleDOI
A general approach to get series solution of non-similarity boundary-layer flows
TL;DR: In this article, an analytic method for strongly nonlinear problems, namely the homotopy analysis method (HAM), is applied to give convergent series solution of non-similarity boundary-layer flows.