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作 者:Bahman Zohuri
机构地区:[1]Ageno School of Business,Golden Gate University,San Francisco,California 94105,USA [2]Business Analytics School,Golden Gate University,San Francisco,California 94105,USA [3]ECE Department Santa Clara,International Technological University,California 95054,USA [4]Computer Science and Electrical,Computer Engineering,International Technological University,California 95054,USA [5]Galaxy Advanced Engineering,Albuquerque,New Mexico 87111,USA
出 处:《Journal of Energy and Power Engineering》2021年第6期202-230,共29页能源与动力工程(美国大卫英文)
摘 要:As we have stated in conclusion of PART IV of these series,here in PART V,we will show how to find the solution for the governing equation of heat conduction as it was setup in PART IV,given the boundary and initial conditions for Eq.(156)by means of exact and numerical methods.The different sections provided in here as PART V is consisting of a discussion of the approximate solution of the problem using mathematical tools and divided into four other sections parts as illustrated in this part.First four section namely 2.0,3.0,4.0 and 5.0 present an analytical method of the solution of the general governing equation using the Fourier theory.Section 6.0 is considering interaction of laser energy with materials using very short laser pulses and introduces electron-phonon theory approach to solve the heat transfer problem of the interaction of ultra-short pulses with the matter.Section 7.0 describes heating analysis with time-dependent pulse intensity and where evaporation is considered as the exclusive phenomenon taking place during the ablation process.Section 8.0 presents the heating analysis with pulsed laser heating process by considering both Fourier conduction and electron-phonon kinetic theory approaches.Finally,Section 9.0 consists of a discussion of the approximate solution of the problem using the Finite Difference Method(FDM)and Finite Element Method(FEM),and presents the computer solutions developed.
关 键 词:Analytical solution finite difference and finite elements method Fourier Series and Laplace Transformation complex variables
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