Araştırma Makalesi
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Yıl 2020, Cilt: 6 Sayı: 2, 108 - 121, 31.07.2020

Öz

Kaynakça

  • [1] D S Burnett., Finite Element Analysis, from Concept to Application. Addison Wesley, New Jersey, 1987.[2] J.N. Reddy, An Introduction to the Finite Element Method. Third ed. McGraw-Hill. 2006. [3] J.A. Akpobi, and E.D., Akpobi. “A finite element analysis of the distribution of velocity in viscous incompressible fluids using the Lagrange interpotation function”, Journal of Applied Science, vol.11, pp.31-38, 2007.[4] J.A. Akpobi, and E.D., Akpobi. “Finite element solution of the Boussinesq wave equation”, Journal of the Nigeria association of Mathematical physics, vol.11, pp. 223-228. 2007.[5] H. Shokouhmand and S.M.A. Noori., “Finite element analysis of mixed convection heat transfer through a vertical wavy isothermal channel”, proceedings of the world congress on Engineering, vol. 2, pp. 1415-1420, 2010.[6] R. Rajamani, C. Srinivas, and K. N. Seetharamu, “Finite Element Analysis of convective Heat transfer in porous media”, International journal for Numerical Methods in Fluids. Vol.11 (3), pp. 331-339, 1990.[7] Johan Meijer,.”Laser beam machining (LBM), state of the art and new opportunities”, Journal of Materials Processing Technolog vol. 149 pp. 2–17, 2004.[8] U. Paek, and F. P. Gagliano “Thermal analysis of laser drilling”, Journal of Quantum Electronics, vol.8, pp.112-119, 1972.[9] X.Liu, D. Du, and G. Mourou, “ Laser ablation and micro machining with ultrashort laser pulses, Journal of Quantum Electron. Vol. 33, pp. 1706-1716, 1997.[10] M. F. Modest and H. Abiakans, “Evaporative cutting of a semi-infinite body with a moving cw laser”, Journal of Heat Transfer, vol. 108 pp. 602-607, 1988.[11] P. S. Wei and J. Y. Ho, Energy consideration in high energy beam drilling, International Journal of Heat and Mass Transfer, vol. 33, pp. 2207-2217, 1990. [12] S.Y. Bang and M. F. Modest, “Multiple reflection effects on evaporative cutting with a moving cw laser”, Journal of Heat Transfer, vol. 113, pp. 663-669, 1991.[13] B. S. Yilbas and I. Z. Naqvi, “Laser heating including the phase change process and thermal stress generation in relation to drilling”, Journal of Engineering Manufacture, vol. 217(B) pp. 977-991, 2003. [14] B. S. Yilbas, M. Saad, and S. Z. Shuja, “Laser pulse heating: modelling of cavity formation”, Journal of Mechanical Engineering Science, vol. 221(C) pp. 307-328, 2006.[15] B. S. Yilbas, “Analytical solution for time unsteady laser pulse heating of semi-infinite solid”, International journal of Mechanical Science, vol. 39(6), pp. 671-682, 1997.

Analysis of Laser Pulse Heating Model Using the Finite Element Analysis

Yıl 2020, Cilt: 6 Sayı: 2, 108 - 121, 31.07.2020

Öz

The Model equation for the laser heating process is a two dimensional partial differential equation in cylindrical coordinate that is time dependent and involves a source term. This work presents a sequential method in obtaining solution to the laser heat equation using a unique method of solution known as Finite Element Method; a numerical approach as against the analytical method. The approach was used in analyzing the temperature of the irradiated material within the domain of the material. This was done by multiplying the model differential equation by a weighted function and carrying out integration over the domain of the problem to obtain the weak form of the equation. Triangular and rectangular Langrage interpolation functions were used for the spatial discretization and Alpha family of approximation was used for the time approximation. The domain of the problem was discretized manually using eight triangular and 4 rectangular finite element mesh. To obtain more accurate solutions, a programme written with MATLAB software was used to further discretize the domain into smaller finite elements (4000 triangular element mesh and 2000 rectangular element mesh). The results obtained was plotted and compared with literature.

Kaynakça

  • [1] D S Burnett., Finite Element Analysis, from Concept to Application. Addison Wesley, New Jersey, 1987.[2] J.N. Reddy, An Introduction to the Finite Element Method. Third ed. McGraw-Hill. 2006. [3] J.A. Akpobi, and E.D., Akpobi. “A finite element analysis of the distribution of velocity in viscous incompressible fluids using the Lagrange interpotation function”, Journal of Applied Science, vol.11, pp.31-38, 2007.[4] J.A. Akpobi, and E.D., Akpobi. “Finite element solution of the Boussinesq wave equation”, Journal of the Nigeria association of Mathematical physics, vol.11, pp. 223-228. 2007.[5] H. Shokouhmand and S.M.A. Noori., “Finite element analysis of mixed convection heat transfer through a vertical wavy isothermal channel”, proceedings of the world congress on Engineering, vol. 2, pp. 1415-1420, 2010.[6] R. Rajamani, C. Srinivas, and K. N. Seetharamu, “Finite Element Analysis of convective Heat transfer in porous media”, International journal for Numerical Methods in Fluids. Vol.11 (3), pp. 331-339, 1990.[7] Johan Meijer,.”Laser beam machining (LBM), state of the art and new opportunities”, Journal of Materials Processing Technolog vol. 149 pp. 2–17, 2004.[8] U. Paek, and F. P. Gagliano “Thermal analysis of laser drilling”, Journal of Quantum Electronics, vol.8, pp.112-119, 1972.[9] X.Liu, D. Du, and G. Mourou, “ Laser ablation and micro machining with ultrashort laser pulses, Journal of Quantum Electron. Vol. 33, pp. 1706-1716, 1997.[10] M. F. Modest and H. Abiakans, “Evaporative cutting of a semi-infinite body with a moving cw laser”, Journal of Heat Transfer, vol. 108 pp. 602-607, 1988.[11] P. S. Wei and J. Y. Ho, Energy consideration in high energy beam drilling, International Journal of Heat and Mass Transfer, vol. 33, pp. 2207-2217, 1990. [12] S.Y. Bang and M. F. Modest, “Multiple reflection effects on evaporative cutting with a moving cw laser”, Journal of Heat Transfer, vol. 113, pp. 663-669, 1991.[13] B. S. Yilbas and I. Z. Naqvi, “Laser heating including the phase change process and thermal stress generation in relation to drilling”, Journal of Engineering Manufacture, vol. 217(B) pp. 977-991, 2003. [14] B. S. Yilbas, M. Saad, and S. Z. Shuja, “Laser pulse heating: modelling of cavity formation”, Journal of Mechanical Engineering Science, vol. 221(C) pp. 307-328, 2006.[15] B. S. Yilbas, “Analytical solution for time unsteady laser pulse heating of semi-infinite solid”, International journal of Mechanical Science, vol. 39(6), pp. 671-682, 1997.
Toplam 1 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Mühendislik
Bölüm Research Articles
Yazarlar

Erhuvwuvoke Ebojoh 0000-0001-5432-6020

John Ajokpaoghene Akpobı Bu kişi benim

Kelechi Nwosu Bu kişi benim

Yayımlanma Tarihi 31 Temmuz 2020
Gönderilme Tarihi 13 Eylül 2019
Kabul Tarihi 13 Temmuz 2020
Yayımlandığı Sayı Yıl 2020 Cilt: 6 Sayı: 2

Kaynak Göster

APA Ebojoh, E., Akpobı, J. A., & Nwosu, K. (2020). Analysis of Laser Pulse Heating Model Using the Finite Element Analysis. International Journal of Computational and Experimental Science and Engineering, 6(2), 108-121.