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Saint-Venant torsion analysis of bars with rectangular cross-section and effective coating layers

Applied Mathematics and Mechanics(English Edition) 2016年第2期37卷 237-252页

作者： H.TEIMOORI R.T.FAAL R.DAS Department of Mathematics and Computer Science Allameh Tabatabai University Faculty of Engineering University of Zanjan Department of Mechanical Engineering and Centre for Advanced Composite Materials University of Auckland

This paper investigates the torsion analysis of coated bars with a rectangular cross-section. Two opposite faces of a bar are coated by two isotropie layers with different materials of the original substrate that are perfectly bonded to the bar. With the Saint- Venant torsion theory, the governing equation of the problem in terms of the warping function is established and solved using the finite Fourier cosine transform. The state of stress on the cross-section, warping of the cross-section, and torsional rigidity of the bar are evaluated. Effects of thickness of the coating layers and material properties on these quantities are investigated. A set of graphs are provided that can be used to determine the coating thicknesses and material properties so as to keep the maximum von Mises stress on the cross-section below an allowable value for effective use of the coating layer.

关键词： Saint-Venant torsion rectangular cross-section coating layer torsional rigidity

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An exact analytical solution for convective heat transfer in rectangular ducts

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Journal of Zhejiang University-Science A(Applied Physics & Engineering) 2012年第10期13卷 768-781页

作者： Mohammad Mohsen SHAHMARDAN Mahmood NOROUZI Mohammad Hassan KAYHANI Amin AMIRI DELOUEI Department of Mechanical Engineering Shahrood University of TechnologyShahroodIran

An exact analytical solution is obtained for convective heat transfer in straight ducts with rectangular cross-sections for the first *** solution is valid for both H1 and H2 boundary conditions,which are related to fully developed convective heat transfer under constant heat flux at the duct *** separation of variables method and various other mathematical techniques are used to find the closed form of the temperature *** local and mean Nusselt numbers are also obtained as functions of the aspect ratio.A new physical constraint is presented to solve the Neumann problem in non-dimensional analysis for the H2 boundary *** is one of the major innovations of the current *** analytical results indicate a singularity occurs at a critical aspect ratio of 2.4912 when calculating the local and mean Nusselt numbers.

关键词： Exact analytical solution Convective heat transfer Straight duct rectangular cross-section Constant heat flux

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