iosr-Jm   Volume-10 ~ Issue-3 ~ May-June 2014

Abstract: In this paper, we studied the effect of thermal in Stokes' second problem for unsteady second grade fluid flow through porous medium. The expressions for the velocity field and the temperature field are obtained analytically. The effects of various emerging parameters on the velocity field and temperature field are studied through graphs in detail.

Keywords: Thermal Effects, Fluid Flow, Porous Medium

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Abstract: This paper deals with the study of CR-submanifolds of a nearly trans-hyperbolic Sasakian manifold with a quarter symmetric non-metric connection. We study parallel distribution relating to   vertical CRsubmanifolds of a nearly trans-hyperbolic Sasakian manifold with quarter symmetric non-metric connection. Further, we obtain the parallel distributions on CR-submanifolds.

[1]. Bejancu, CR-submsnifolds of a Kaehler manifold. I, Proc. Amer. Math. Soc. 69 (1978), 135-142.
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[5]. C. Gherghe, Harmonicity on nearly trans-Sasaki manifolds, Demonstratio Math. 33(2000), no. 1, 151-157.
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Abstract: We have observed numbers to progress in natural order. These numbers can be arranged in a sequence and a generalised equation can be given to predict further coming numbers. Their sum or differences can be obtained by using equations. Here, the numbers are arranged in order of columns, rows and heights as in an array and their general equations to determine their positions and other operations are given.
Key -words: Column, Frequency, Harmonic, Height, Period, Row

[1]. As it is a direct conjecture, so there are no references.

Abstract: A numerical solution for the free convective, unsteady, laminar convective heat and mass transfer in a viscoelastic fluid along a semi-infinite vertical plate with radiation and chemical reaction is presented. The Walters-B liquid model is employed to simulate medical creams and other rheological liquids encountered in biotechnology and chemical engineering. This rheological model introduces supplementary terms into the momentum conservation equation. The dimensionless unsteady, coupled, and non-linear partial differential conservation equations for the boundary layer regime are solved by an efficient, accurate and unconditionally stable finite difference scheme of the Crank-Nicolson type. The velocity, temperature, and concentration fields have been studied for the effect of Prandtl number, viscoelasticity parameter, Schmidt number, radiation parameter, chemical reaction parameter and buoyancy parameters. The local skin-friction, Nusselt number and Sherwood number are also presented and analyzed graphically. It is observed that, when the viscoelasticity parameter increases, the velocity increases close to the plate surface. An increase in Schmidt number is observed to significantly decrease both velocity and concentration.
Key words: unsteady viscoelastic flow, semi-infinite vertical plate, Walters-B short-memory mode, finite difference method, radiation and chemical reaction.

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