
Sobamowo, G., Jaiyesimi, L., Waheed, A. (2017). Transient ThreeDimensional Thermal Analysis of a Slab with internal heat generation and heated by a Point Moving Heat Source. Iranian Journal of Mechanical Engineering Transactions of the ISME, 18(1), 4364.Gbeminiyi Musibau Sobamowo; Lawrence Jaiyesimi; Akindoye O Waheed. "Transient ThreeDimensional Thermal Analysis of a Slab with internal heat generation and heated by a Point Moving Heat Source". Iranian Journal of Mechanical Engineering Transactions of the ISME, 18, 1, 2017, 4364.Sobamowo, G., Jaiyesimi, L., Waheed, A. (2017). 'Transient ThreeDimensional Thermal Analysis of a Slab with internal heat generation and heated by a Point Moving Heat Source', Iranian Journal of Mechanical Engineering Transactions of the ISME, 18(1), pp. 4364.Sobamowo, G., Jaiyesimi, L., Waheed, A. Transient ThreeDimensional Thermal Analysis of a Slab with internal heat generation and heated by a Point Moving Heat Source. Iranian Journal of Mechanical Engineering Transactions of the ISME, 2017; 18(1): 4364.
Transient ThreeDimensional Thermal Analysis of a Slab with internal heat generation and heated by a Point Moving Heat Source
Article 2, Volume 18, Issue 1  Serial Number 28, Winter and Spring 2017, Page 4364
PDF (1409 K)
Document Type: Research Paper
Authors
Gbeminiyi Musibau Sobamowo ^{} ^{1}; Lawrence Jaiyesimi^{2}; Akindoye O Waheed^{3}
^{1}University of Lagos, Akoka, Lagos
^{2}University of Lagos
^{3}Federal University of Agriculture, Abeokuta, Nigeria.
Abstract
In this work, analysis of transient threedimensional heat transfer in a slab with internal heat generation and heated by a point moving heat source along its axis is carried out using integral transforms methods. The heat input into slab or workpiece by the moving heat source is considered in the model. From the results, it was established that the temperature of the material during the heat transfer process decreases while the time required to reach the peak temperature increases with increasing distance from the centerline. Also, the rate of heating and the rate of cooling decrease with increasing distance from the centerline. The computed results at different monitoring locations show typical features of the temperature profiles and they afford a close analysis of the factors governing the heat flow in a point moving heat source.
Keywords
Transient heat transfer; Threedimensional model; Point Moving heat source; Integral transforms; Analytical solutions
Main Subjects
Conduction heat transfer
References
[1] Hou, Z. B., and Komanduri, R., “General Solutions for Stationary/Moving Plane Heat Source Problems in Manufacturing and Tribology”, Int. J. Heat Mass Transfer, Vol. 43, No. 10, pp. 1679–1698, (2000).
[2] Dowden, J. M., Ducharme, R., and Kapadia, P. D., "Timedependent Line and Point Sources: A Simple Model for Timedependent Welding Processes", Lasers in Engineering, Vol. 7, No. 34, pp. 215228, (1998).
[3] Rosenthal, D., and Carmern, R. H., "Temperature Distribution in Cylinder Heated by Point Source Moving Along Its Axis, Trans. ASME, Vol.69, pp. 961968, (1947).
[4] Rosenthal, D., "The Theory of Moving Source of Heat and its Application to Metal Treatments, Trans. ASME, Vol. 68, pp. 849866, (1949).
[5] Weichert, R., and Schonert, K., "Temperature Distribution Produced by a Moving Heat Source, Mech. Appl.Math. XXXI. pp. 363379, (1978).
[6] Kim, C. K., "An Analytical Solution to Heat Conduction with a Moving Heat Source", Journal of Mechanical Science and Technology, Vol. 25, No. 4, pp. 895899, (2011).
[7] Carslaw, H. S., and Jaeger, J. C., "Conduction of Heat in Solids", Oxford University Press, Oxford, (1959).
[8] Malmuth, N. D., "Temperature Field of a Moving Pointsource with Change of State", Int. J. Heat Mass Transfer, Vol. 19, pp. 349354, (1976).
[9] Grosh, R. H., Trabant, E. A., and Hawkins, G. A., "Properties Heated by Moving Heat Source", Mech. Appl. Math., XIII, Vol. 2, pp. 160167, (1955).
[10] Kuang, Z. B., and Atluri, S. N., "Temperature Field Due to a Moving Heat Source: A Moving Mesh Finite Element Analysis", Trans. ASME, Vol. 52, pp. 274280, (1985).
[11] Webb, B. W., and Viskanta, R., "Analysis of Heat Transfer during Melting the Pure Metal from an Isothermal Vertical Wall, Num. Heat Transfer, Vol. 9, pp. 539558, (1986).
[12] Jeager, J.C., "Moving Sources of Heat and Temperature at Sliding Contacts", Proceeding of Royal Society, New South Wales, Vol. 76, pp. 203224, (1942).
[13] Peak, U., Gagliano, F. P., "Thermal Analysis of Laser Drilling Processes", IEEE J. of Quantum Electronics, Vol. 2, pp. 112119, (1972).
[14] Zubair, S. M., and Chaudhry, M. A., "Temperature Solutions Due to Timedependent Moving Line Heat Sources", Heat and Mass Transfer, Vol. 3, pp. 185189, (1996).
[15] Terauchi, Y., and Nadano, H., "On Temperature Rise Caused by Moving Heat Sources", Bull of JSME, Vol. 27, No. 226, pp. 831838, (1984).
[16] Muzychka, Y. S., and Yovanovich, M. M., "Thermal Resistance Models for Noncircular Moving Heat Sources on a Half Space", Journal of Heat Transfer, ASME Trans. Vol. 123, pp. 624632, (2001).
[17] Kou, W. L., and Lin, J. F., "General Temperature Rise Solution for a Moving Plane Heat Source Problem in Surface Grinding", Int. J. Adv. Manuf. Technol. Vol. 31, pp. 268277, (2006).
[18] Nguyen, N. T., Onta, A., Matsuoka, K., Suzuki, N., and Maeda, Y., "Analytical Solutions for Transient Temperature of SemiInfinite Body Subjected to 3D Moving Heat Sources", Supplement of Welding Research Journal, August, (1999).
[19] Zhang, H. J., "Nonquasisteady Analysis of Heat Conduction from a Moving Heat Source”, ASME J. Heat Transfer, Vol. 112, pp. 777779, (1990).
[20] Tian, X., and Kennedy, F. E., "Maximum and Average Flash Temperature in Sliding Contacts", ASME J. Tribology, Vol. 116, pp. 167174, (1994).
[21] Zeng, Z., Brown, M. B., and Vardy, V. E., "On Moving Heat Sources", Heat and Mass Transfer, Vol. 33, pp. 4149, (1997).
[22] Levin, P., "A General Solution of 3D Quasisteady State Problem of a Moving Heat Source on a Semiinfinite Solid", Mech. Research Communication, Vol. 35, pp. 151157, (2008).
[23] Yovanovich, M.M., "Transient Spreading Resistance of Arbitrary Isoflux Contact Areas: Development of a Universal Time Function", 33rd Annual AIAA Thermophysics Conference, (1997).
[24] Negus, K. J., and Yovanovich, M. M., "Transient Temperature Rise at Surface Due to Arbitrary Contacts on Half Space", Transaction of CSME, Vol. 13, No. 1/2, pp. 19, (1989).
[25] Akbari, M., Sinton, D., and Bahrami, M., "Moving Heat Sources in a Half Space: Effects of Source Geometry", Proceedings of the ASME 2009 Heat Transfer Summer Conference HT2009, San Francisco, California, USA, July 1923, (2009).
[26] Jeong, S. K., and Cho, H. S., "An Analytical Solution for Transient Temperature Distribution in Fillet arc Welding Including the Effects of Molten Metal", Proceedings of the Institute of Mechanical Engineers, Part B: Journal of Engineering Manufacture, Vol. 211, pp. 6372, (1997).
[27] Muzychka, Y. S., and Yovanovich, M. M., "Thermal Resistance Models for Noncircular Moving Heat Sources on a Half Space", ASME J. Heat Transfer, Vol. 123, No. 4, pp. 624–632, (2001).
[28] Terauchi, Y., Nadano, H., and Kohno, M., "On the Temperature Rise Caused by Moving Heat Sources. II: Calculation of Temperature Considering Heat Radiation from Surface", Bull. JSME, Vol. 28, No. 245, pp. 2789–2795, (1985).
[29] Yovanovich, M. M., Negus, K. J., and Thompson, J. C., "Transient Temperature Rise of Arbitrary Contacts with Uniform Flux by Surface Element Methods", Presented at the 22nd AIAA Aerospace Sciences Meeting, Reno, NV, Vol. 16, Jan 9–12, (1984).
[30] Eagar, T. W., and Tsai, N. S., "Temperature Fields Produced by Traveling Distributed Heat Sources", Weld. J., Miami, FL, U.S., Vol. 62, No. 12, pp. 346– 355, (1983).
[31] Yevtushenko, A. A., Ivanyk, E. G., and Ukhanska, O. M., "Transient Temperature of Local Moving Areas of Sliding Contact", Tribol. Int., Vol. 30, No. 3, pp. 209–214, (1997).
[32] Zubair, S. M., and Chaudhry, M. A., "A Unified Approach to Closedform Solutions of Moving Heatsource Problems, Heat Mass Transfer, Vol. 33, No. 5–6, pp. 415–424, (1998).
[33] Baıri, A., "Analytical Model for Thermal Resistance Due to Multiple Moving Circular Contacts on a Coated Body", C. R. Mec., Vol. 331, No. 8, pp. 557–562, (2003).
[34] Bianco, N., Manca, O., Nardini, S., and Tamburrino, S., "Transient Heat Conduction in Solids Irradiated by a Moving Heat Source", Presented at the Proceedings of COMSOL Users Conference, Milan, (2006).
[35] Wen, J., and Khonsari, M. M., "Analytical Formulation for the Temperature Profile by Duhamel’s Theorem in Bodies Subjected to an Oscillatory Heat Source", ASME J. Heat Transfer, Vol. 129, pp. 236–240, (2007).
[36] Manta, S., Nardini, S., and Naso, V., "Analytical Solution to the Temperature Distribution in a Finite Depth Solid with a Moving Heat Source", Proceedings of the 4th Brazilian Thermal Science Meeting,pp. 287291, (1992).
[37] Modest, M.F., and Abakians, H., "Heat Conduction in a Moving Semiinfinite Solid Subjected to Pulsed Laser Irradiation", J. Heat Transfer. Vol. 108, pp. 597601, (1986).
[38] Lolov, N., "Temperature Field with Distributed Moving Heat Source", International Institute of Welding, Study Group 212, Doc. 21268287, (1987).
[39] Manca, O., Morrone, B., and Naso, V., "Quasisteadystate Threedimensional Temperature Distribution Induced by a Moving Circular Gaussian Heat Source in Finite Depth Solid", Int. J. Heat Mass Transfer, Vol. 38, pp. 13051315, (1995).
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