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Heat and mass transfer effects on an oscillatory mhd convective flow through porous medium in a rotating porous channel with heat radiation

Singh K. D., Pathak R.

International Journal of Applied Mechanics and Engineering

2012

Vol. 17, no. 4

1309-1326

An oscillatory MHD convective and mass transfer flow of an electrically conducting, viscous, incompressible fluid in a rotating porous channel filled with a porous medium has been analyzed. Effects of radiation and chemical reaction are also considered. The two porous plates are subjected to a constant injection and suction. It is considered that the influence of the uniform magnetic field acts normal to the flow. The entire system rotates about an axis normal to the planes of the plates with uniform angular velocity [...]. Expressions for velocity, temperature, concentration, and amplitude and phase angle of skin-friction, the Nusselt number and Sherwood number are obtained. The results obtained for velocity are discussed for small (...) and large (...) rotation of the channel with the help of graphs.

Fixed point theorems for noncompatible, discontinuous hybrid pairs of mappings on 2-metric spaces

Deshpande B., Pathak R.

Demonstratio Mathematica

2012

Vol. 45, nr 1

143-154

In this paper, we prove some fixed point theorems for two hybrid pairs of mappings in 2-metric spaces by using some weaker conditions.

Common fixed point theorems for hybrid pairs of mappings with some weaker conditions

Sharma S., Deshpande B., Pathak R.

Fasciculi Mathematici

2008

Nr 39

71-86

In this paper, we prove a common fixed point theorem for hybrid pairs of set and single valued mappings without assuming compatibility and continuity of any mapping on noncomplete metric spaces. To prove the theorem, we use a noncompatible condition, that is, weak commutativity of type (KB). We show that completeness of the whole space is not necessary for the existence of common fixed point. Our result improves, extends and generalizes the results of Fisher [5], Sastry and Naidu [18]. We give an example to validate our result. We also prove a common fixed point theorem on compact metric spaces. At the end, we improve our theorem by omitting the assumption of compactness. We also improve and generalize the results of Ahmed [2] and Fisher [5].