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64 articles for “Heat Equation”
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Research ArticleOpen accessPhrase in the titleq- sl2 and Associated Wave and Heat EquationsSami H. AltoumFor q∈(0, 1), the q- deformation of the sl2 Lie algebra (denoted by q-sl2) is introduced and we give its representation. The heat and wave equations associated to the genrators of the q-sl2 are studied. …American Journal of Applied Sciences, Vol. 15, Issue 5 · 12 May 2018 · 7,803 accessesView PDFCite
Research ArticleOpen accessEvery word in the titleMachine Motion Equations at the Internal Combustion Heat EnginesFlorian Ion T. PetrescuThis paper presents an algorithm for setting the dynamic parameters of the classic main mechanism of the internal combustion engines. One presents the dynamic, original, machine motion equations. The equation of motion of the machine that generates angular speed of the shaft (which varies with position and rotation speed) is deduced by conservation kinetic energy of the machine. An additional … …American Journal of Engineering and Applied Sciences, Vol. 8, Issue 1 · 21 Apr 2015 · 9,387 accessesView PDFCite
Research ArticleOpen accessEvery word in the titleThe Solution of Heat Conduction Equation with Mixed Boundary ConditionsNaser AbdelrazaqThe study is devoted to determine a solution for a non-stationary heat equation in axial symmetric cylindrical coordinates under mixed discontinuous boundary of the first and second kind conditions, with the aid of a Laplace transform and separation of variables method used to solve the considered problem which is the dual integral equations method. …Journal of Mathematics and Statistics, Vol. 2, Issue 1 · 31 Mar 2006 · 7,815 accessesView PDFCite
Research ArticleOpen accessEvery word in the titleAnalytical Solution Based on a New Series along with the Numeric Solution of the Non-Homogeneous Transient Heat Conduction Equation, in Hollow Cylinder under General Mixed Boundary ConditionsMehdi Zare, F. KardanIn this study, the problem of transient conduction heat transfer for an infinite hollow cylinder under non-homogeneous mixed boundary conditions at the both surfaces simultaneously in radial direction with general heat source depend on time and radius, also general initial condition by the method of superposition and separation variables, is solved and temperature distribution is obtained analytically. A new series … …American Journal of Engineering and Applied Sciences, Vol. 11, Issue 2 · 20 Apr 2018 · 9,486 accessesView PDFCite
Research ArticleOpen accessEvery word in the titleAnalytical Estimation of Geotherm for Multi Layer Model from Heat Flow Equation: A Case Study of Parts of Chad Sedimentary Basin, NigeriaEmujakporue Godwin OmokenuThe subsurface temperature distribution of part of Chad sedimentary basin has been determined by applying analytical solution for multi-layer-model in solving the 1-D steady state conductive heat flow equation. Four-layer model was adopted because the Chad basin is made up of four lithostratigraphies. In this model, equilibrium geotherm of the four layers was computed by considering each layer separately while … …Physics International, Vol. 7, Issue 2 · 6 Oct 2017 · 8,314 accessesView PDFCite
Research ArticleOpen accessIn the keywordsA Coupled Mathematical Model for a Temperature Dependant Blood Perfusion in Heterogeneous Biological Tissues during Microwave HeatingE. A. Adebile, B. N. Akintewe, K. M. OwolabiProblem statement: The temperature variation in heterogeneous three layered biological tissues was investigated. Approach: The blood perfusion was considered to be temperature dependent. The heating modalities were taking to go on simultaneously in each of the regions on the one hand and also sequentially in another arrangement. The asymptotic series solution was modified for the three layers and the matching … …American Journal of Applied Sciences, Vol. 7, Issue 5 · 31 May 2010 · 6,576 accessesView PDFCite
Research ArticleOpen accessIn the abstractq-Deformed Statistics from Position-Dependent Mass Schrödinger EquationaJesus Morales Rivas, Jose Juan Peña Gil, J. García RaveloAn algebraic approach is used to obtain the canonical form of the position-dependent mass Schrödinger equation from where a couple of canonical quantum variables, the q-deformed operators for the position xq, and the hermitian linear momentum operator pq are derived. In this q-deformed coordinate space, the commutator remains invariant namely [xq, pq] = iħ. By taking advantage of these q-deformed … …Journal of Mathematics and Statistics, Vol. 19, Issue 1 · 15 Sep 2023 · 5,191 accessesView PDFCite
Research ArticleOpen accessIn the abstractGeometric Optimization of Complex Heat Exchangers using Constructal TechniqueNahum Yustus GodiThe application of microchannel heat exchangers for cooling is documented in this study. Numerical optimization is carried out with the goal of minimising the peak wall temperature in the microchannel heat sink modelled with solid and half hollow square micro fins. A high-density heat flux q'' from a microelectronic device was applied at the bottom wall of the microchannel heat … …American Journal of Engineering and Applied Sciences, Vol. 15, Issue 1 · 8 Feb 2022 · 6,307 accessesView PDFCite
Research ArticleOpen accessIn the abstractClassification of Transformed and Geometrically Distorted Images using Convolutional Neural NetworkSanad Aburass, Ammar Huneiti, Mohammad Belal Al-ZoubiConvolutionalNeural Network is a deep learning method that is used in many image-relatedapplications, such as image recognition and classification, it has achievedgreat performance in these fields, but it still suffers from some shortcomings.One of these shortcomings is not being able to be invariant to the input datadue to some image transformations like translation, rotation, scaling, andgeometric distortions such as skewness, … …Journal of Computer Science, Vol. 18, Issue 8 · 26 Aug 2022 · 6,138 accessesView PDFCite
Research ArticleOpen accessIn the abstractThermodynamic Analysis of a Marine Refrigeration Machine with AmmoniaMawhoub Soubih, Samir Zahaf, Dahmane Mouloud, Benkhettab MohamedThe purpose of this study is to present a thermodynamic modeling of a marine chiller using ammonia as a refrigerant. The modeling is based on the first and second laws of thermodynamics and the fundamental laws of heat transfer. System performance in terms of coefficient of performance, total exergy losses and exegetic efficiency, have calculated the temperatures of sea water … …American Journal of Engineering and Applied Sciences, Vol. 14, Issue 4 · 25 Nov 2021 · 6,326 accessesView PDFCite