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Similarity solution
About: Similarity solution is a research topic. Over the lifetime, 2074 publications have been published within this topic receiving 59790 citations.
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TL;DR: In this article, a phase change problem in a one-dimensional infinite domain x ≥ 0 including the time-dependent speed of phase change material is explored, where the thermal conductivity and specific heat are assumed as linear functions of temperature.
12 citations
TL;DR: In this paper, Tsai et al. analyzed symmetric cross-ply laminated plates by employing a previously presented affine stretching process, some material constant definitions from Tsai (1964), and by gneralizing existing similarity rules.
Abstract: Symmetric cross-ply laminated plates are analyzed by employing a previously presented affine stretching process, some material constant definitions from Tsai (1964), and by gneralizing existing similarity rules. As examples, similarity rules are employed to find the frequency spectrum of a cross-ply symmetric plate from the corresponding isotropic solution, and a similarity solution is presented for the vibration of an axially loaded, simply supported cross-ply symmetric plate. Buckling similarity rules are also presented.
12 citations
TL;DR: In this paper, the conditions for expectation of a similarity solution on the lines of d'Arcy's Law for non-Newtonian flow in porous media are examined and a modified version of D'Arcey's Law can be expected for a power law fluid.
12 citations
TL;DR: In this paper, a boundary element model to deal with heat and solute diffusion involving a moving interface is presented, which requires the solution of two parabolic partial differential equations in variable domains separated by a moving interfaces, whose temperature and velocity, as well as the concentration jump across it, are not know a priori but have to be determined as part of the solution.
12 citations
TL;DR: In this article, a steady-state mixed convection boundary layer flow of an electrically conducting nanofluid obeying a power-law model in the presence of an alternating magnetic field due to a stretching vertical heated sheet is investigated numerically through the use of Wolfram Mathematica.
Abstract: A steady-state mixed convection boundary layer flow of an electrically conducting nanofluid (Cu–H2O) obeying a power-law model in the presence of an alternating magnetic field due to a stretching vertical heated sheet is investigated numerically through the use of Wolfram Mathematica. The surface stretching velocity and the surface temperature are assumed to vary as linear functions of the distance from the origin. A similarity solution is presented, which depends on the nanoparticle volume fraction, power-law parameter, magnetic field parameter, buoyancy convection parameter, and modified Prandtl number.
12 citations