للكاتبين : Islam M. EL-Desoky and A. A. Mousa Department of Basic Engineering sciences, Faculty of Engineering, Menofia University, Shebin El-Kom, Menofia, Egypt. ABSTRACT In real systems, there is always a certain amount of slip, which, however, is hard to detect experimentally because of the required space resolution. In this paper, the motion of a compressible viscous liquid with “slip” …
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AN EFFICIENT INTERACTING BOUNDARY LAYER SOLVER
للكاتب : Tarek M. A. El-Mistikawy Department of Engineering Mathematics and Physics, Faculty of Engineering, Cairo University, Giza, Egypt. ABSTRACT An efficient numerical solver for the two-dimensional supersonic interacting boundary layer equations is constructed. It is a two-sweep iterative approach that converges fast with the use of an enhancing parameter. It uses variable step sizes in both the streamwise and …
أكمل القراءة »THREE DIMENSIONAL LAMINAR FLOW OF HERSCHEL-BULKLEY FLUIDS IN THE ENTRANCE REGION OF A RECTANGULAR DUCT
للكاتب : M. E. Sayed-Ahmed and Karem M. Kishk Department of Engineering Mathematics and Physics, Faculty of Engineering, Fayoum University ABSTRACT In this study, we present a numerical solution for three dimensional laminar flow of Herschel-Bulkley non-Newtonian fluids in the entrance region of a rectangular duct. The governing equations are solved iteratively by using finite difference method to obtain …
أكمل القراءة »A DISCONTINUOUS FUNCTIONAL CAUCHY PROBLEM
للكاتب : E. R HASSAN Faculty of Engineering, Al-A zhar University, Nasr City, Cairo, Egypt. ABSTRAT. The existence of extremal solutions of the following functional Cauchy prob-lem [FCP] is investigated here. The main results established for non-funational Cauchy problem [N-FCP] in R [J. Math. Anal. Appl.198(1996),657-670] are generalized here in R, as well as in R’as well as in Rⁿ
أكمل القراءة »THERMODYNAMIC MODELLING OF THE EXCESS GIBBS ENERGY AND ASSESSMENT OF THE TERNARY SYSTEM (GA-P-IN)
للكاتبين : Y. DJABALLAH and A. BELGACEM-BOUZIDA Laboratoire d’Etude Physico-Chimique des Matériaux (LEPCM) Physics Department, Faculty of Science, University of Batna, Algeria ABSTRACT Three semiconductor binary systems (Ga-P), (P-In) and (Ga-In) were optimized, using CALPHAD method and the polynomial Redlich-Kister model to describe the Gibbs energy of the liquid phase. Together with published data on (GaP-PIn) pseudobinary system, isothermal sections …
أكمل القراءة »APPLICATION OF THE MARQUARDT-LEVENBERG MINIMIZATION METHOD TO OPTIMIZE PARAMETERS OF A THERMODYNAMIC MODEL
للكاتبين : N. BOUKHALFA1 and A-H. MÉNIAI2 1Department of Industrial Chemistry. University of Biskra, Algeria. 2Department of Industrial Chemistry. University of Constantine, Algeria ABSTRACT In this modeling work, we have applied the Marquardt-Levenberg method to optimize parameters of a thermodynamic model. The mathematical method was applied for 11 systems including aqueous solutions of electrolytes. The thermodynamic model used requires three …
أكمل القراءة »AN EXTENSION OF THE MAJORANA UNIQUENESS THEOREM TOBANACH AND HILBERT SPACES
للكاتب : E. R. HASSAN Department of Mathematics and Physics, Faculty of Engineering, Al-Azhar University, Nasr City,Cairo, Egypt. ABSTRACT In [Proc. Ame. Math. Soc. vol.111, n01,1991] Majorana has considered the question of uniqueness for Cauchy problem for ordinary differential equation in R. The present paper extends these results to certain class of one-dimensional nonlinear integral equation of Volterra type, as …
أكمل القراءة »A PROPOSED SOLUTION FOR THE LONGITUDINAL IMPACT OF A RIGID BODY ON AN ELASTIC ROD
للكاتب : Hafez G.H.M. Faculty of Engineering, Ain Shams Univ., Cairo, Egypt. ABSTRACT The longitudinal impact of a rigid body on a flexible rod is theoretically investigated. The mathematical model is numerically solved by the method of characteristics. The boundary conditions at the contact end are fully discussed. A new treatment for the contact end is then developed without using …
أكمل القراءة »THEORETICAL VERIFICATION OF EXPERIMENTAL RESULTS OBTAINED FROM GEOCHEMICAL TECHNIQUE
للكاتب : M.H.Sidky Faculty of Engineering, Cairo University, Cairo , Egypt ABSTRACT This work presents a criterion to test the theoretical nuclear matrix element of ββ decaymodes for the isotopes128,130Te. The test has been carried out for the 0νββ decay mode by using different techniques with small and large basis of the Hilbert space. The lowest values of the mean …
أكمل القراءة »FORENSICS AT COLLAPSED PHOSPHATE UNDERGROUND MINE: NUMERICAL APPROACH
للكاتبين : Salah A. Badr and Samir E. Sleem Mining and Petroleum Engineering Department, Faculty of Engineering, Al Azhar University, Nasr City, Cairo Egypt ABSTRACT A dry self-supported Room & Pillar phosphate mine at Zug ElBahr area – Egypt flooded on winter of the 1994. Given that only random timber are in place, the Marly immediate roof deteriorated and finally …
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