Research ArticleOpen accessIn the abstractExplicit Finite Difference Solution of Heat Transfer Problems of Fish Packages in PrecoolingA. S. Mokhtar, K. A. Abbas, M.M.H. Megat Ahmad et al.The present work aims at finding an optimized explicit finite difference scheme for the solution of problems involving pure heat transfer from the surfaces of Pangasius Sutchi fish samples suddenly exposed to a cooling environment. Regular shaped packages in the form of an infinite slab were considered and a generalized mathematical model was written in dimensionless form. An accurate sample … …American Journal of Applied Sciences, Vol. 1, Issue 2 · 30 Jun 2004 · 7,166 accessesView PDFCite
Research NotesOpen accessIn the abstractTurbulent-Fluid-Based Simulation of Dynamic Liquefaction Using Large Deformation Analysis of Solid PhaseRohollah TaslimianTo accurately simulate the cyclic liquefaction phenomenon, it is necessary to establish a well-defined coupling between the solid particles and the high-velocity percolating pore fluid. For this purpose, the existing literature extensively examines large deformation liquefaction analyses for the solid phase, regardless of the fluid flow nonlinearity. On the other hand, the transient fluid pressure gradient governed by the turbulence … …American Journal of Engineering and Applied Sciences, Vol. 17, Issue 2 · 22 Feb 2024 · 6,024 accessesView PDFCite
Review ArticleOpen accessIn the abstractMedical Service of RobotsRelly Victoria Virgil PetrescuToday, robots have not only penetrated to create microchips in electronics but also in medicine, where it helps to perform difficult operations, especially where precision is needed and the size is small and any human error could be fatal to the patient. Robots assist the doctor in heart, brain, kidney operations, not to mention bone implants and repair of damaged … …Journal of Mechatronics and Robotics, Vol. 3, Issue 1 · 24 Apr 2019 · 7,549 accessesView PDFCite
Research ArticleOpen accessIn the abstractOn The Diophantine Equation xa + ya = pkzbKeng Yarn Wong, Hailiza KamarulhailiIn this study, we consider the Diophantine equation xa + ya = pkzb where p is a prime number, gcd(a, b) = 1 and k,a,b∈Z+. We solve this equation parametrically by considering different cases of x and y and find that there exist infinitely many nontrivial integer solutions, where the formulated parametric solutions solve xa + ya = pkzb completely … …Journal of Mathematics and Statistics, Vol. 13, Issue 1 · 11 Mar 2017 · 7,295 accessesView PDFCite
Review ArticleOpen accessIn the abstractAbout Homeopathy or ≪Similia Similibus Curentur≫Raffaella Aversa, Relly Victoria V. Petrescu, Antonio Apicella, Florian Ion T. PetrescuHomeopathy or homoeopathy (from the Greek όμοιος/homoios, "similar" and πάθος/pathos, "suffering" or "disease") is a science created by Samuel Hahnemann in 1796. The homeopathic practice rests on three principles: The similarity, the individualization of cases and the infinitesimal. The use of the infinitesimal was proposed by Hahnemann in the early nineteenth century with the publication of "Organon der Heilkunst" (Organon … …American Journal of Engineering and Applied Sciences, Vol. 9, Issue 4 · 16 Dec 2016 · 11,563 accessesView PDFCite
Research ArticleOpen accessIn the abstractConvergence of Renormalization Group Transformations of Gibbs Random FieldFarida Kachapova, Ilias KachapovStatistical mechanics describes interaction between particles of a physical system. Particle properties of the system can be modelled with a random field on a lattice and studied at different distance scales using renormalization group transformation. Here we consider a thermodynamic limit of a lattice model with weak interaction and we use semi-invariants to prove that random fields transformed by renormalization … …Journal of Mathematics and Statistics, Vol. 12, Issue 3 · 27 Jul 2016 · 7,016 accessesView PDFCite
Research ArticleOpen accessIn the abstractEfficient Co-Rotational 3-Node Shell ElementGil Rama, Dragan Marinkovic, Manfred ZehnGeometric nonlinear FE-analysis of thin-walled shell structures, using a co-rotational formulation and the Cell Smoothed Discrete Shear Gap triangular shell element (CS-DSG3) is presented in this study. The CS-DSG3 element formulation uses the Mindlin-Reissner kinematic hypothesis to include transverse shear effects. In order to avoid locking effects Discrete Shear Gap (DSG) method is applied. In addition, cell based smoothing technique … …American Journal of Engineering and Applied Sciences, Vol. 9, Issue 2 · 17 Jun 2016 · 8,299 accessesView PDFCite
Research ArticleOpen accessIn the abstractON SOLUTIONS IN THE HYDRODYNAMIC APPROXIMATION OF SOLAR AND STELLAR WINDS WITH VISCOSITYPanagiotis N. Koumantos, Panaiotis K. Pavlakos, Xenophon D. MoussasIn this article we present some results in existence and uniqueness of strong and classical solutions of the hydrodynamic equations modeling solar and stellar winds. The system of Navier-Stokes equations for solar and stellar winds is considered in its corresponding differential evolution equation form (d/dt+A)υ(t) = F(υ(t), t), where F is a given non-linear function and -A is the infinitesimal … …Physics International, Vol. 5, Issue 2 · 30 May 2014 · 7,556 accessesView PDFCite
Research ArticleOpen accessIn the abstractON REDUCED SCALAR EQUATIONS FOR SYNCHRONOUS BOOLEAN NETWORKSAli Muhammad Ali Rushdi, Adnan Ahmad AlsogatiA total description of a synchronous Boolean network is typically achieved by a matrix recurrence relation. A simpler alternative is to use a scalar equation which is a possibly nonlinear equation that involves two or more instances of a single scalar variable and some Boolean operator(s). Further simplification is possible in terms of a linear reduced scalar equation which is … …Journal of Mathematics and Statistics, Vol. 9, Issue 3 · 10 Sep 2013 · 6,667 accessesView PDFCite
Research ArticleOpen accessIn the abstractOn a Class of Nonhomogeneous Fields in Hilbert SpaceRaéd HatamlehTwo-parametric semigroups of operators in Hilbert space with bounded infinitesimal doubly commuting operators are studied. The characteristics describing deviation of a semigroup from unitary one, when infinitesimal operators are unitary, in particular, nonunitary index, have been introduced. Necessary and sufficient conditions for nonunitary index finiteness have been obtained. …Journal of Mathematics and Statistics, Vol. 3, Issue 4 · 31 Dec 2007 · 6,686 accessesView PDFCite