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Öğe Effect of hall current on the MHD fluid flow and heat transfer due to a rotating disk with uniform radial electric field(Hacettepe Univ, Fac Sci, 2015) Uygun, NihanIn this paper the steady Von Karman flow of incompressible fluid in which the Hall effect exists is analyzed over the infinite rotating disk with additional assumptions: the uniform magnetic field applied normally to the disk and the radial electric field imposed to the disk. Therefore, the stability equations and energy equation have been modified in the presence of Hall effect, uniform magnetic field and radial electric field. The system of equations generated by stability and energy equations has been solved using Chebyshev collocation technique for varying values of Hall parameters, magnetic interaction and radial electric parameters. Accuracy of the method is verified comparing results in the literature. Effects of parameters are depicted graphically and are analyzed.Öğe Hall impact on the MHD fluid flow and heat transfer with uniform radial electric field due to a stretching rotating disk(2022) Uygun, NihanIn the current paper, the steady flow of an incompressible electrically conducting fluid and heat transfer are studied. In these, we consider the Hall effect over an infinite stretching rotating disk in presence of a magnetic field. Navier-Stokes equations, Maxwell equation and energy equation have been modified in the presence of the Hall impact. Moreover, the uniform magnetic field, and the radial electric field are applied. With the help of the usual similarity transformations, these modified equations are simplified to a set of nonlinear ordinary differantial equations. Numerical solutions of the equations are obtained by using the Chebyshev collocation technique for different values of the entire of the physical parameters. The accuracy of the method is verified by comparing with the results in the literature. The influences of Hall parameter in these equations system are depicted graphically and analyzed.Öğe On the Korovkin approximation theorem and Volkov-type theorems(Springer International Publishing Ag, 2014) Uygun, NihanIn this short paper, we give a generalization of the classical Korovkin approximation theorem (Korovkin in Linear Operators and Approximation Theory, 1960), Volkov-type theorems (Volkov in Dokl. Akad. Nauk SSSR 115: 17-19, 1957), and a recent result of (Tasdelen and Erencin in J. Math. Anal. Appl. 331(1): 727-735, 2007).