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Transactions: WSEAS TRANSACTIONS ON MATHEMATICS
Transactions ID Number: 31-709
Full Name: Marian Pearsica
Position: Associate Professor
Age: ON
Sex: Male
Address: 160, Mihai Viteazu St., Brasov, Brasov
Country: ROMANIA
Tel: 740 080 463
Tel prefix: +40
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E-mail address: marianpearsica@yahoo.com
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Title of the Paper: Heat Transfer Modeling and Simulating for Laser Beam Irradiation with Phase Transformations
Authors as they appear in the Paper: Marian Pearsica, Ioan-Gheorghe Ratiu, Claudia-Georgeta Carstea, Cristian Constantinescu, Constantin Strambu, Laurian Gherman
Email addresses of all the authors: marianpearsica@yahoo.com, ratiu_2000@yahoo.com, ccc2089@yahoo.com, ccg_cristi@yahoo.com, strimbu_c@yahoo.com, lauriang@gmail.com
Number of paper pages: 10
Abstract: The proposed mathematical model is a numerical method to find the temperature distribution at metals processing with concentrated laser beam, assisted by an active gas jet. The quality and effects of laser beam processing depend on: optimal choosing of the irradiation parameters, characteristics of the processed material surface, additional gas, parameters of the focalization system etc and setting up an optimal processing regime by choosing and maintaining these optimal values during the whole irradiation process as well. The first part of this paper deals with the differential equations system, which governs the laser processing of materials in the presence of the O2 jet, occurring on the mobile irradiation. The numerical method of solving the mathematical model is presented in the second part of the paper. It will base the solving of mathematical model equations, with the advantage of a better approximation of the real phenomenon by considering the simultaneous !
existence of the solid, liquid, and vaporization states in the material zone interacting with laser beam. The defocusing effect of laser beam simultaneous with its advancement in material and the energy loss by electromagnetic radiation and convection will be taken into account as well. The last part of paper presents the graphical representations of radial distribution of the temperature of the three phases: solid, liquid and vapors, and the obtained numerical results, which allow the determining of the technological parameters of processing and the material constants.
Keywords: Laser, Thermal phenomenon, Mathematical model, Temperature distribution, Phase transformations
EXTENSION of the file: .doc
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