Asian Journal of Current Engineering and Maths

The present paper deals with the determination of temperature change, displacement and thermal stresses in a thin annular disc defined by with internal heat generation. Heat dissipates by convection from inner circular surface ( and outer circular surface (. Also, initially the annular disc is at arbitrary temperature  Here we modify Kulkarni et al. (2008) for homogeneous heat convection along radial direction. The governing heat conduction equation has been solved by the method of integral transform technique. The results are obtained in a series form in terms of Bessel’s functions. The results for temperature change, displacement and stresses have been computed numerically and illustrated graphically.

In this paper we investigate and studied some of the basic properties such as m – semi open, M-irresolute and M-totally clopen continuous functions on m-space.  Moreover we characterize certain properties of M-irresolute and M-totally clopen continuous functions.

ABSTRACT: An analysis is carried out to study the nonlinear MHD flow with heat and mass transfer characteristics of an electrically conducting, incompressible, viscous and Boussinesq fluid over a vertical oscillating porous permeable plate in presence of homogeneous chemical reaction of first order and thermal radiation effects. Here considered fluid is a gray, absorbing/emitting radiation, but a non-scattering medium. At time  , the plate temperature and concentration levels near the plate raised linearly with time. An approximate numerical solution for the flow problem has been obtained by solving the governing boundary layer equations using a closed analytical method. It has been found that, the fluid velocities as well as concentration profiles were decreased when the chemical reaction parameter increased. An increase in conduction radiation parameter is found to escalate temperatures and shear stress in the regime. Applications of the study arise in materials processing and solar energy collector systems. 

A related fixed point theorem for two pairs of mappings on two metric spaces satisfying integral type inequality is obtained. The result extends a result of  R.K. Namdeo, N.K. Tiwari, B. Fisher and K. Tas [5].