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The analytic solution for the unsteady flow of generalized Oldroyd- B fluid on oscillating rectangular duct is studied. In the absence of the frequency of oscillations, we obtain the problem for the flow of generalized Oldroyd- B fluid in a duct of rectangular cross- section moving parallel to its length. The problem is solved by applying the double finite Fourier sine and discrete Laplace transforms. The solutions for the generalized Maxwell fluids and the ordinary Maxwell fluid appear as limiting cases of the solutions obtained here. Finally, the effect of material parameters on the velocity profile spotlighted by means of the graphical illustrations

It is more beneficial science and created and the highest honor is the Koran Sciences, God has honored research in this fun science, came this research that shed the light on the radical incision, and Naughty derivatives as contained in the Koran, and illustrate the diversity of Saghma morphological, and fork them from derivatives what it entailed connotations, as well as the evacuation of cryptic in some of these verses from the biological secrets take minds newly exposed Anitrjt science under the name of scientific miracles.
The research methodology is revenue verse which included the word, and revenue lexical meaning and its meaning in the context of the Qur'an, and reflect the views of the commentators of the verse, and then the r

the main of this paper is to give a comprehensive presentation of estimating methods namely maximum likelihood bayes and proposed methods for the parameter

The aim of this paper is to prove some results for equivalence of moduli of smoothnes in approximation theory , we used a"non uniform" modulus of smoothness and the weighted Ditzian –Totik moduli of smoothness in by spline functions ,several results are obtained .For example , it shown that ,for any the inequality , is satisfied ,finally, similar result for chebyshev partition and weighted Ditzian –Totik moduli of smoothness are also obtained.

During the ongoing economic revolutions of the economic There is a new economic revolution is emboded by upseting the balances of prevailing classic ideas and refusing axioms considered postulates which were not touched including, for example, the theory of ( supply and demand) espoused by (Adam Smith and Marshall and others ) that assumes the existence of a strong relationship between the supply of goods and services and the demand for them, in the light of successive economic developments, considerable technological progress and the information revolution of the complex telecommunication network led to a serious shift of this theory and the emergence of a new theory called (market economies) turned the traditional scales of production,

        In this paper, the necessary optimality conditions are studied and derived for a new class of the sum of two Caputo–Katugampola fractional derivatives of orders (α, ρ) and( β,ρ) with fixed the final boundary conditions. In the second study, the approximation of the left Caputo-Katugampola fractional derivative was obtained by using the shifted Chebyshev polynomials. We also use the Clenshaw and Curtis formula to approximate the integral from -1 to 1. Further, we find the critical points using the Rayleigh–Ritz method. The obtained approximation of the left fractional Caputo-Katugampola derivatives was added to the algorithm applied to the illustrative example so that we obtained the approximate results for the stat

  Two arylenedisuccinamic acids, namely 1,4-phenylene-disuccinamic acid and 4,4'biphenyl-disuccinamic acid were prepared from the reaction of two moles of succinic anhydride with one mole of 1,4-phenylenediamine dihydrochloride and beinzidine respectively.Dehydration of arylenedisuccinamic acid in the pressence of polyvinyl alcohol (PVA) and catalytic amount of concentrated.H2SO4,gives N,N'-arylenedisuccinimidesPVAcomposite polymers. Dehydration of arylenedisuccinamic acid (without PVA) in the pressence of catalytic amount of conc. H2SO4 gives N,N'-arylenedisuccinimides. Arylenedisuccinamic acid and arylenedisuccinimides characterized by CHN-analysis,FT.IR and 1H,C13-NMR.Spectral analysis

The artificial silk (Rayon) was produced from the fronds of date palms which was taken from date palm trees (type Al-Zahdi) from the Iraqi gardens. Two main parts of the frond, namely leaves and stalks were used in this study to produce rayon. The palm fronds were converted into a powder of 90-180 micrometers. Major steps were used to produce rayon; delignification, bleaching and finally dissolution. Modified organosolv method which uses organic solvent method was applied to remove high lignin content. Three variables were studied in the delignification process: temperature, the ratio of ethanol to water and digestion time. The results showed that the best percent of lignin removal was (97%) which occured at; digestion time (80 minutes), te