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Mixed convection boundary-layer flow over a vertical surface embedded in a porous medium
Abstract In this paper we have numerically investigated the existence and uniqueness of a vertically flowing fluid passed a model of a thin vertical fin in a saturated porous media. We have assumedExpand
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The Decomposition Approach to Inverse Heat Conduction
Adomian's decomposition approach is employed for solving some inverse boundary value problems in heat conduction. Further, the mollification method is applied to deal with noisy input data and obtainExpand
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A New Model for Viscous Dissipation in Porous Media Across a Range of Permeability Values
In this paper a unified mathematical theory for the viscous dissipation term in the governing Brinkman equation is derived. This term has, unlike other models, the correct asymptotic behaviour inExpand
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The orientation of helical flow in curved channels
The planform patterns of meandering submarine channels and subaerial fluvial bends show many similarities that have given rise to strong analogies concerning the fluid dynamics of these channelExpand
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Application of the boundary element method to inverse heat conduction problems
Abstract The solution of the one-dimensional, linear, inverse, unsteady heat conduction problem (IHCP) in a slab geometry is analysed. The initial temperature is known, together with a condition onExpand
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Computational fluid dynamics and the physical modelling of an upland urban river
This paper describes the application of a commercially available, three-dimensional computational fluid dynamic (CFD) model to simulate the flow structure in an upland river that is prone toExpand
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An iterative boundary element method for solving the one-dimensional backward heat conduction problem
Abstract In this paper, the iterative algorithm proposed by V.A. Kozlov and V.G. Maz'ya [Leningrad Math. J. 5 (1990) 1207–1228] is numerically implemented using the boundary element method (BEM) inExpand
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Combined Free and Forced Convection in Vertical Channels of Porous Media
In this paper we investigate the combined free and forced convection of a fully developed Newtonian fluid within a vertical channel composed of porous media when viscous dissipation effects are takenExpand
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Similarity methods in radiation hydrodynamics
  • L. Elliott
  • Physics
  • Proceedings of the Royal Society of London…
  • 25 October 1960
The extent to which problems in radiation hydrodynamics may be tackled by similarity methods is investigated for the case of spherical symmetry. In particular the problem of an intense explosion isExpand
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Conjugate gradient-boundary element solution to the Cauchy problem for Helmholtz-type equations
Abstract In this paper, an iterative algorithm based on the conjugate gradient method (CGM) in combination with the boundary element method (BEM) for obtaining stable approximate solutions to theExpand
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