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Abou-Dina M. S. Helal M. A. Ghaleb Ahmed F. Kaoullas George Georgiou Georgios C. 《Meccanica》2020,55(7):1499-1507
Meccanica - The occurrence of slip complicates the estimation of the viscosity in rheometric flows. Thus, special analyses and experimental protocols are needed in order to obtain reliable... 相似文献
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Summary We derive a linear Fredholm integral equation of the second kind on an arbitrary closed plane contour which divides an infinite
plane current sheet into two regions of different uniform integrated conductivities. This integral equation is satisfield
along the above-described contour by a certain combination of the limiting values of the electric potential at both sides
of the boundary. This electric potential is due to the currents created in the sheet when a uniform electric field is applied
to it. The derived integral equation admits exact solutions in closed form for the cases of circular and elliptical insertions.
These solutions are identical with those previously obtained, by other methods, for the same cases. A general method is given
for the numerical solution of the integral equation. As an illustration, this method is applied to the case of a square insertion
where we used the results of Ashour to obtain numerical estimation for the results of the additional magnetic field on and
around the square insertion.
To speed up publication, the proofs were not sent to the authors and were supervised by the Scientific Commettee. 相似文献
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A boundary integral method earlier proposed by two of the authors is used to solve a problem of uncoupled magnetothermoelasticity for an infinite, elliptical cylindrical conductor carrying a steady axial, uniform electric current. The cylinder is placed in a variable ambient temperature and is allowed to exchange heat with the surrounding medium. 相似文献
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A. R. El-Dhaba A. F. Ghaleb M. S. Abou-Dina 《Archive of Applied Mechanics (Ingenieur Archiv)》2014,84(9-11):1393-1407
The static, plane uncoupled problem of thermo-magnetoelasticity for a long elastic cylinder of square cross-section carrying a steady, axial electric current is investigated numerically by a boundary integral method. The lateral surface of the cylinder may be subjected, additionally, to an external distribution of pressures. The deformation is induced by the combined action of Joule heat, the magnetic forces due to the current and the external pressure. Following a smoothing process of the boundary, the applied numerical method yields the values of all quantities of practical interest at the boundary. The corresponding values in the bulk and the magnetic field in the space surrounding the conductor may be easily determined by quadrature. The results are represented graphically and discussed. 相似文献
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