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Intersection Curves of Implicit and Parametric Surfaces in R<sup>3</sup>

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Applied Mathematics 2011年第8期2卷 1019-1026页

作者： Mohamed abdel-Latif Soliman Nassar Hassan abdel-all Soad Ali Hassan Sayed abdel-Naeim Badr 不详

We present algorithms for computing the differential geometry properties of Frenet apparatus {t,n,b,κ,τ} and higher-order derivatives of intersection curves of implicit and parametric surfaces in R3 for transversal and tangential intersection. This work is considered as a continuation to Ye and Maekawa [1]. We obtain a classification of the singularities on the intersection curve. Some examples are given and plotted.

关键词： Geometric Properties Frenet Frame Frenet Apparatus Frenet-Serret Formulas Surface-Surface Intersection Transversal Intersection Tangential Intersection Dupin Indicatrices

Expanding the Tanh-Function Method for Solving Nonlinear Equations

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Applied Mathematics 2011年第9期2卷 1096-1104页

作者： Nassar Hassan abdel-all Mohamed Abd-allah abdel-Razek Abd-allah Kamel Seddeek 不详

In this paper, using the tanh-function method, we introduce a new approach to solitary wave solutions for solving nonlinear PDEs. The proposed method is based on adding integration constants to the resulting nonlinear ODEs from the nonlinear PDEs using the wave transformation. Also, we use a transformation related to those integration constants. Some examples are considered to find their exact solutions such as KdV- Burgers class and Fisher, Boussinesq and Klein-Gordon equations. Moreover, we discuss the geometric interpretations of the resulting exact solutions.

关键词： Tanh-Function Method Nonlinear Equations Solitary Waves

Computation of Some Geometric Properties for New Nonlinear PDE Models

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Applied Mathematics 2011年第6期2卷 666-675页

作者： Nassar Hassan abdel-all Mohammed Abdullah Abdullah Hamad Mohammed Abdullah abdel-Razek Amal Aboelwafa Khalil 不详

The purpose of the present work is to construct new geometrical models for motion of plane curve by Darboux transformations. We get nonlinear partial differential equations (PDE). We have obtained the exact solutions of the resulting equations using symmetry groups method. Also, the Gaussian and mean curvatures of Monge form of the soliton surfaces have been calculated and discussed.

关键词： Motion of Curve Darboux Transformations Gaussian and Mean Curvatures Symmetry Groups

Some Physical Properties of CuTlSe alloy

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Journal of Materials Science & Technology 2001年第2期17卷 229-232页

作者： A.abdel all Physics Department, Faculty of Science , Helwan University, Cairo, Egypt K.A.Sharaf Physics Department, Faculty of Science, Al-Azhar University for Girls, Cairo, Egypt A.Elshafie Physics Department, Faculty of Science, Menoufia University, She Helwan Univ Fac Sci Dept Phys Cairo Egypt Al Azhar Univ Girls Dept Phys Fac Sci Cairo Egypt Menoufia Univ Fac Sci Dept Phys Shibin Al Kawm Egypt

The structure and optical properties of Cu0.1Tl2Se3 alloy was studied. X-ray analysis showed that the polycrystalline powder consists of a mixture of two phases Cu3jTlSe2 (monoclinic) and TISe (tetragonal). Chalcopyrite phase CuTISe2 can be obtained by annealing the powder at 250'C for 1 h. Thin film with a monoclinic phase of Cu3TlSe2 was obtained for the thick film (0.7 um). The optical parameters a, n, k, e' and e' and the energy gap were calculated. The thermoelectric power measurements showed that S has a positive polarity over the whole range of temperature.

关键词： Cu Some Physical Properties of CuTlSe alloy

Evolution of Generalized Space Curve as a Function of Its Local Geometry

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Applied Mathematics 2014年第15期5卷 2381-2392页

作者： Nassar H. abdel-all Samah G. Mohamed Mariam T. Al-Dossary Mathematics Department Faculty of Science Assiut University Assiut Egypt Mathematics Department Girls College of Science University of Dammam Dammam KSA

Kinematics of moving generalized curves in a n-dimensional Euclidean space is formulated in terms of intrinsic geometries. The evolution equations of the orthonormal frame and higher curvatures are obtained. The integ... 详细信息

关键词： Inelastic Curve Curve Flow Evolution of Curves

Evolutions of the Ruled Surfaces via the Evolution of Their Directrix Using Quasi Frame along a Space Curve

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Journal of Applied Mathematics and Physics 2018年第8期6卷 1748-1756页

作者： M. A. Soliman Nassar H. abdel-all R. A. Hussien Taha Youssef Department of Mathematics Faculty of Science Assiut University Assiut Egypt

In this paper, evolutions of ruled surfaces generated by the quasi normal and quasi binormal vector fields of space curve are presented. These evolutions of the ruled surfaces depend on the evolutions of their directr... 详细信息

关键词： Ruled Surfaces Quasi Frame Frenet Frame Evolution of Space Curves

Calculation of ship motions in steep waves with restoring and Froude-Krylov forces on an adaptive panel mesh with Gauss and analytic integration methods

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Journal of Hydrodynamics 2024年第2期36卷 275-289页

作者： Malwin Wermbter Moustafa abdel-Maksoud Institute for Fluid Dynamics and Ship Theory Hamburg University of TechnologyHamburgGermany

The impulse response method is a frequently used method to calculate ship seakeeping *** this paper,the restoring and Froude-Krylov calculation is conducted with constant evaluation of panel pressures as well as Gauss quadrature and an analytical *** applied panel grid is coarsened by an adaptive algorithm which is based on a normal vector *** comparison of methods is based on grid convergence studies which are followed by a verification of forces with computational fluid dynamics(CFD)results on the fixed duisburg test case in *** with experimental results in head,oblique and following waves show that all integration methods are *** exact integration is numerically sensitive in some *** quadrature is highly accurate;however,the additional effort is not beneficial since the geometrical accuracy has-stronger influence on the force amplitudes than the integration *** grid coarsening reduces the simulation time and is accurate up to a level,where the panel length comes close the *** added resistance at the investigated Froude number of 0.05 shows higher uncertainty levels,this applies to the results of both the numerical methods and model tests.

关键词： Ship hydrodynamics seakeeping impulse response method added resistance wave loads

An extensive analytical and numerical study of the generalized q-deformed Sinh-Gordon equation

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Journal of Ocean Engineering and Science 2024年第3期9卷 232-239页

作者： Khalid K.Ali abdel-Haleem abdel-Aty Mathematics Department Faculty of ScienceAl-Azhar UniversityNasr-CityCairoEgypt Department of Physics College of SciencesUniversity of BishaPO Box 344Bisha 61922Saudi Arabia Physics Department Faculty of ScienceAl-Azhar UniversityAssiut 71524Egypt

In this paper,the q-deformed Sinh-Gordon equation is solved analytically using a new general form based on the extended tanh *** numerical solutions of the equation is obtained using a b-spline finite element ***,we present numerous figures to demonstrate the various solitons propagation *** type of equation has not been previously dealt with in such ways,whether analytical or *** study is very useful in studying several physical systems that have lost their symmetry.

关键词： q-Deformed equation Solitos solutions The extended tanh method Finite element method q-Calculus

Ultralong hydroxyapatite-based forward osmosis membrane for freshwater generation

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Frontiers of Chemical Science and Engineering 2024年第9期18卷 37-49页

作者： Mohamed Gamal Gomaa Hamdy Maamoun abdel-Ghafar Francesco Galiano Francesca Russo Alberto Figoli El-Sayed Ali abdel-Aal abdel-Hakim Taha Kandil Bahaa Ahmed Salah Central Metallurgical Research and Development Institute(CMRDI) 11421 CairoEgypt Chemistry Department Faculty of ScienceHelwan University11795 CairoEgypt Institute on Membrane Technology(CNR-ITM) 87036 RendeItaly

Increasing global water shortages are accelerating the pace of membrane manufacturing,which generates many environmentally harmful *** challenges need a radical rethink of developing innovative membranes that can address freshwater production without generating environmentally harmful *** work utilized the synthesized ultra-long hydroxyapatite(UHA)by the solvothermal method using the green solvent oleic acid in preparing UHA-based forward osmosis *** membranes were developed using different loading ratios of graphene oxide(GO)by vacuum-assisted filtration *** prepared GO/UHA membranes were identified using X-ray diffraction,scanning electron microscope,Fourier-transform infrared spectroscopy,and X-ray photoelectron *** contact angle and pore size distribution were determined for the obtained GO/UHA *** obtained hierarchical porous structure in the prepared membranes with interconnected channels results in a stable water flux with reverse salt *** best water flux rate of 42±2 L·m^(–2)·h^(–1)was achieved using the 50 mg GO/UHA membrane,which is 3.3 times higher than the pristine membrane,and a reverse salt flux of 67 g·m^(-2)·h^(–1).The obtained results showed a promising capability of a new generation of sustainable inorganic-based membranes that can be utilized in freshwater generation by energy-efficient techniques such as forward osmosis.

关键词： forward osmosis ultra-long hydroxyapatite graphene oxide inorganic-based membrane