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Mathematical modelling for solving nonlinear heat diffusion problems of pavement spherical roads in Makkah
Faculty
Engineering
Year:
2012
Type of Publication:
ZU Hosted
Pages:
Authors:
Medhat Mostafa Mostafa Helal
Staff Zu Site
Abstract In Staff Site
Journal:
International Journal of Pavement Engineering Taylor & Francis
Volume:
Keywords :
Mathematical modelling , solving nonlinear heat diffusion
Abstract:
Pavement temperature is one of the most important factors affecting the design and performance of roads. Actual pavement temperature is required to be considered in design standards for pavements roads which have spherical shapes. The heat distribution is highly influential in pavement structural design and have a large effect on indirect tensile stiffness modulus. This importance calls for special attention and interest in research to develop procedures for design and analysis that account for temperature considerations. However, temperatures at different depths in the pavement are difficult to measure. Therefore, a mathematical model for pavement temperature estimation from climatic data such as air temperature and solar radiation is presented. Maximum and minimum pavement temperatures are usually needed for design, evaluation and analysis of pavements. In this study, these temperatures are both calculated from the air temperatures
Author Related Publications
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Medhat Mostafa Mostafa Helal, "Application of a fractional step method for the numerical solution of the shallow water waves in a rotating rectangular basin", Taylor & Francis, 2010
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Medhat Mostafa Mostafa Helal, "Similarity solutions for magneto-forced-unsteady free convective laminar boundary-layer flow", Elsevier B.V., 2008
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Medhat Mostafa Mostafa Helal, "Generalization of the integral transform method to nonlinear heat-conduction problems in multilayered spherical media", King Saud University. Production and hosting by Elsevier B.V., 2012
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Medhat Mostafa Mostafa Helal, "Hydrodynamic performance of multiple-row slotted breakwaters", Harbin Engineering University and Springer-Verlag Berlin Heidelberg, 2016
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Ola Ragab Abdou Mohamed, "Analysis of Composite Plates Using Moving Least Squares Differential Quadrature Method", Science Direct, 2014
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Rasha Ibrahiem Saleh Mohamed, "Generalized extended method for solution of nonlinear diffusion equations", مجلة الهندسة والعلوم التطبيقية, 2014
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Mohamed Mohamed Ali Mohamed Saied, "Three Resultant Applications In Surface Modeling For Computer Graphics", Second National Conference of Mathematics, Cairo 6-11 April 1996, 1996
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