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    Consideration of hyperbolic heat conduction equation in relation to laser short-pulse heating for various volumetric heat sources and boundary conditions

    Consideration of hyperbolic heat conduction equation in relation to laser short-pulse heating for various volumetric heat sources and boundary conditions. Masters thesis, King Fahd University of Petroleum and Minerals.

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    Arabic Abstract

    في هذه الرسالة تم اعتبار النموذج الزائدي لمعادلة انتقال الحرارة ، وذلك لحرق مادة متناهية الصغر ( Nano ) باستخدام مصدرين ليزريين مختلفين. في الحالة الأولى تم اختيار نموذج لمصدر من نوع أسي بينما في الحالة الثانية تم اختيار مصدر ( المدخل الدرجي ). في كلا الحالتين تمت دراسة وتحليل الإجهاد الحراري الناتج عن حرق المادة ، وكمنهجية لهذا العمل تم استخدام محولات لابلاس وفوريي لحل هذه المعادلات. في الفصل الأخير من هذه الرسالة ، تم مناقشة معادلة تفاضلية جزئية ذات شروط حدية مختلطة في نصف مستوي حيث تم حلها باستخدام ( تعديل جونس لتقنية فينر و هوبف ).

    English Abstract

    The heat conduction in solid materials using the hyperbolic heat conduction equation has been studied incorporating laser volumetric sources of two types. In the first case, the laser heating source has been modelled as a time exponentially varying heat pulse while in the second case a step input laser pulse has been used. The thermal stress analysis has been carried out in each of the above cases. The Laplace transform in time and the Fourier cosine transform in space variable have been used to solve these problems. We also studied a mixed boundary value problem arising from heating of a half space with two parts of the boundary satisfying two different conditions. This problem has been solved using the Jones modification of the Wiener-Hopf technique.

    Item Type: Thesis (Masters)
    Subjects: Math
    Department: College of Computing and Mathematics > Mathematics
    Committee Advisor: Zaman, F. D.
    Committee Co-Advisor: Yilbas, B. S.
    Committee Members: Bokhari, A. and Chanane, B. and Fairag, F.
    Depositing User: HASSAN RAS AL DUHAIM (g200746410)
    Date Deposited: 01 Jun 2015 04:47
    Last Modified: 01 Nov 2019 15:46
    URI: http://eprints.kfupm.edu.sa/id/eprint/139581