Proceedings of the Indian Academy of Sciences - Section A

Gupta, T.

doi: 10.1007/BF03049847pmid: N/A

This paper deals with the solutions of steady as well as unsteady three-dimensional incompressible thermal boundary layer equations and the study of the response of heat transfer when there is a parabolic flow over a moving flat plate. The components of velocity in boundary layer are discussed by Sarma and Gupta and those results are used to analyse thermal boundary layer equations. A general analysis is made from which we deduce (i) Solutions of two-dimensional thermal boundary layer on a moving flat plate, (ii) Solutions of thermal boundary layer on a yawed flat plate, (iii) Solutions of thermal boundary layer when there is a parabolic flow over a moving flat plate by giving different values to β and Cx. Solutions are developed for large and small times and curves are drawn representing the variations of heat transfer from the plate with time for all the cases. The limiting time is also calculated.

Jha, Kamal

doi: 10.1007/BF03049848pmid: N/A

The aim of this paper is to investigate the nature of bounded sets in a topological ∈-tensor product EX∈* F of any two locally convex topological vector spaces E and F over the same scalar field K. Next, we apply the results of this investigation to the study of each of the following: (a) Totally summable families in EX∈*F; (b) ∈-tensor product of DF-spaces; (c) Topological nature of the dual of E X∈*F, where E and F are strong duals of Banach spaces; (d) Properties of bounded sets in an ∈-tensor product of metrizable spaces.

Rao, V.

doi: 10.1007/BF03049849pmid: N/A

A theoretical analysis is made of the flow of a conducting viscous and incompressible fluid through a straight annular pipe of circular cross-section flowing under a constant pressure gradient. The pipe is rotated about an axis perpendicular to it and also there is imposed a uniform magnetic field transverse to the motion. The secondary flow pattern has been studied in detail for small values of angular velocity and Hartman number.