http://belgelik.isikun.edu.tr/xmlui/handleiubelgelik/2388 JAEM 2011, Vol 1, No 1 koleksiyonunu içerir. Mon, 06 Apr 2026 02:21:59 GMT 2026-04-06T02:21:59Z http://belgelik.isikun.edu.tr/xmlui/handleiubelgelik/6051 Computational and asymptotic methods in aeroacoustics with applications Delale, Can Fuat; Zafer, Baha; Aslan, Alim Rüstem In this article the computational and asymptotic methods used in aeroacoustics are reviewed. In particular, two different aeroacoustic applications are demonstrated.In the first problem we investigate the first and second order asymptotic predictions of the thickness and loading noise of a subsonic B-bladed helicopter rotor in the far field and compare the SPL noise results with those of full numerical computations. The results of the second order asymptotic formula seem to be in better agreement with full numerical computations than the first order asymptotic formula. In the second problem, the effect of acoustic wave propagation in transonic nozzle flow is investigated by solving the unsteady quasi-one-dimensional transonic nozzle equations in conservative form using high order computational aeroacoustic schemes, where a novel non-reflecting boundary condition is implemented in addition to the standard non-reflecting boundary condition using characteristics. Excellent agreement with the exact solution is obtained in each case. Sat, 01 Jan 2011 00:00:00 GMT http://belgelik.isikun.edu.tr/xmlui/handleiubelgelik/6051 2011-01-01T00:00:00Z http://belgelik.isikun.edu.tr/xmlui/handleiubelgelik/6041 An application of modified reductive perturbation method to symmetric regularized-long-wave Demiray, Hilmi In this work, we extended the application of "the modified reductive perturbation method" to symmetrical regularized long waves with quadratic nonlinearity and obtained various form of KdV equations as the governing equations. Seeking a localized travelling wave solutions to these evolution equations we determined the scale parameters g(1) and g(2) so as to remove the possible secularities that might occur. To indicate the power and elegance of the present method, we compared our result with the exact travelling wave solution of the symmetric regularized long-wave equation with quadratic nonlinearity. These results show that for weakly nonlinear case the solutions for both approaches coincide with each other. The present method is seen to be fairly simple as compared to the renormalization method of Kodama and Taniuti [4] and the multiple scale expansion method of Kraenkel et al [6]. Sat, 01 Jan 2011 00:00:00 GMT http://belgelik.isikun.edu.tr/xmlui/handleiubelgelik/6041 2011-01-01T00:00:00Z http://belgelik.isikun.edu.tr/xmlui/handleiubelgelik/2423 A prediction regarding the weakening of the blue shift of light from geosynchronous satellites Yarman, Tolga; Arık, Metin; Kholmetskii, Alexander We base the present approach, on an alternative theory of gravitation, consisting essentially on the law of energy conservation broadened to embody the mass & energy equivalence of the Special Theory of Relativity, and remedying, known problems and incompatibilities, associated with the actually reigning conception. The mere rotation problem of say, a sphere, can well be undertaken, along the same idea. Accordingly, we consider the problem of gravity created by a rotating celestial body. Finally we apply our results to the case of a geosynchronous satellite, which is, schematically speaking, nothing but a clock placed on a considerably high tower. The approach ironically furnishes the Newton’s law of motion, which however we derive, based on just static forces, and not an acceleration, governing a motion. (There is anyway no motion for a geosynchronous satellite, when observed from Earth.) We predict accordingly that, the blue shift of light from a geosynchronous satellite on an orbit of radius rGs should be softened as much as (? 2 /2c 2 )(r 2 Gs ? R 2 ) as compared to what is expected classically; here ? Earth’s self rotation angular momentum, R Earth’s radius, and c the speed of light in empty space. We hope, the validity of this unforeseen prediction, can soon be checked out. Mon, 13 Jun 2011 00:00:00 GMT http://belgelik.isikun.edu.tr/xmlui/handleiubelgelik/2423 2011-06-13T00:00:00Z http://belgelik.isikun.edu.tr/xmlui/handleiubelgelik/2422 The χγ2F − summable sequences of strongly fuzzy numbers Subramanian, N.; Misra, Umakanta We introduce the classes of χγ2F − summable sequences of strongly fuzzy numbers and give some relations between these classes. We also give a natural relationship between χγ2F − summable sequences of strongly fuzzy numbers and strongly χγ2F (A) − statistical convergence of sequences of fuzzy numbers. Fri, 20 May 2011 00:00:00 GMT http://belgelik.isikun.edu.tr/xmlui/handleiubelgelik/2422 2011-05-20T00:00:00Z