Journal ArticleDOI
Convective heat transfer analysis by the finite element method
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TLDR
In this article, a numerical procedure based on the finite element method is developed for the analysis of general two-dimensional problems in free/forced convection heat transfer, and the dicretization of the field equations through use of the Galerkin method is described.About:
This article is published in Computer Methods in Applied Mechanics and Engineering.The article was published on 1977-12-01. It has received 61 citations till now. The article focuses on the topics: Combined forced and natural convection & Convective heat transfer.read more
Citations
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Journal ArticleDOI
Permeability Versus Depth in the Upper Oceanic Crust' In Situ Measurements in DSDP Hole 504B, Eastern Equatorial Pacific
TL;DR: In this article, the authors measured the in situ permeability (k) versus depth (z) to vary as k(z) = 0.11e(−z/50) × 10−12 m2.
Journal ArticleDOI
A numerical simulation of a plastic fluid in a parallel-plate plastometer
TL;DR: In this article, a numerical method is used to solve the plastometer flow problem and resolve some questions regarding the theoretical analysis, and the accuracy of the numerical method in obtaining solution to non-trivial problems involving fluids with a yield stress.
Journal ArticleDOI
Finite element calculations of very high Rayleigh number thermal convection
Gerald Schubert,Charles Anderson +1 more
TL;DR: In this paper, a finite element method with uniform and variable resolution meshes is used to model very high Rayleigh number Ra thermal convection in a square box of infinite Prandtl number, Boussinesq fluid with constant viscosity and thermodynamic properties.
Journal ArticleDOI
Two-dimensional heat transfer study on the keyhole plasma arc welding process
Y.F. Hsu,Boris Rubinsky +1 more
TL;DR: In this paper, a two-dimensional, quasi-stationary finite element numerical model is presented to study the fluid flow and the heat transfer phenomena which occur during constant travel speed, keyhole plasma arc welding of metal plates.
Journal ArticleDOI
Validated, unified model for optics and heat transfer in line-axis concentrating solar energy collectors
Philip C. Eames,Brian Norton +1 more
TL;DR: In this article, a rigorous numerical simulation model for the prediction of the combined optical and thermofluid behavior of line-axis concentrating solar energy collectors combines two-dimensional steady-state finite element analysis of convective heat transfer and ray-trace techniques.
References
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Book
The method of weighted residuals and variational principles
TL;DR: In this article, the method of Weighted Residuals is used to solve boundary-value problems in heat and mass transfer problems, and convergence and error bounds are established.
Journal ArticleDOI
On the Boussinesq Approximation for a Compressible Fluid.
E. A. Spiegel,George Veronis +1 more
Journal ArticleDOI
A frontal solution program for finite element analysis
TL;DR: The program given here assembles and solves symmetric positive–definite equations as met in finite element applications, more involved than the standard band–matrix algorithms, but more efficient in the important case when two-dimensional or three-dimensional elements have other than corner nodes.
Journal ArticleDOI
Laminar free convection in a vertical slot
TL;DR: In this paper, the interaction of buoyancy and shear forces in the free convective flow of a liquid in a rectangular cavity across which there is a uniform temperature difference, ΔT, produced by maintaining the two vertical walls at two different temperatures.
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