Asian Journal of Current Engineering and Maths

Aim of this paper is to investigate the chemical reaction effects on transient MHD free convective flow of a viscous incompressible electrically conducting fluid along an inclined isothermal non-conducting plate in the presence of transverse magnetic field and viscous dissipation.  The dimensionless governing equations are unsteady coupled and non-linear partial differential equations.  An analytic method fails to give a solution.  Hence an explicit finite difference scheme of DuFort - Frankel method, which is unconditionally stable is employed.  The effect of the chemical parameter (Kr), magnetic parameter (M), buoyancy ratio parameter (N), Schmidt number (Sc), Eckert number (Ec) on the velocity, temperature and concentration fields are extensively discussed with the help of graphs.

As an abstraction of the geometric notation of translation, we introduce two operators T_α+ and T_α- called the vague translation operators. First we define the operators on vague sets and derive some of the properties .Then we investigate their action on vague groups, we prove that all translates of vague subgroups are vague normal sub groups [VNG], we observe that vague abelianness is not translation invariant.  

 Subject classification:- 2000 AMS subject classification : 03G25 ,04A72 ,08A72

Keywords: α-increasing vague translation operator, α-decreasing vague translation operator ,vague translation groups ,translation of vague normal sub groups , vague conjugate property .

In this paper, we introduce a new class of sets called (1,2)*- r^g closed sets and a new class of generalized functions called (1,2)*- r^g continuous maps and (1,2)*-r^g irresolute maps in bitopological spaces. Also we obtain the basic properties of (1,2)*- r^g closed sets and (1,2)*- r^g open sets.

 Mathematics Subject Classification : 54E55