Introduction. A fundamental paper in the theory of solving partial differential equations by iteration has been written by Frankel.1 In this paper Frankel discusses the Richardson and Liebmann procedures and their corresponding accelerated procedures. The latter are termed the extrapolated Liebmann and the second-order Richardson procedures. From his paper three disadvantages of the second-orde...

Experiments have been performed to assess the efficiency of mechanical mixers in destratifying water bodies. The effects of Reynolds number, physical scale, and Richardson number were all considered. The results demonstrated that the variation of mixing efficiency with Richardson number was well described by two different power-law regimes. At low Richardson numbers, the efficiency increased wi...

Littlewood-Richardson coefficients are the multiplicities in the tensor product decomposition of two irreducible representations of the general linear group GL(n,C). They have a wide variety of interpretations in combinatorics, representation theory and geometry. Mulmuley and Sohoni pointed out that it is possible to decide the positivity of Littlewood-Richardson coefficients in polynomial time...

mixed convection fluid flow and heat transfer of water-al2o3 nanofluid inside a lid-driven square cavity has been examined numerically in order to find the optimal distribution of discrete heat sources on the wall of a cavity. the effects of different heat source length, richardson number and grashof number on optimal heat source location has been investigated. moreover, the average nusselt num...

Cheng Gong, Geunsik Lee, Bin Shan, Eric M. Vogel, Robert M. Wallace, and Kyeongjae Cho Department of Materials Science and Engineering, The University of Texas at Dallas, Richardson, Texas 75080, USA Department of Electrical Engineering, The University of Texas at Dallas, Richardson, Texas 75080, USA Department of Physics, The University of Texas at Dallas, Richardson, Texas 75080, USA Departme...