Gurminder Singh

COMPUTATIONAL DYNAMICS OF MHD FREE CONVECTION FLOW ALONG AN INCLINED PLATE WITH NEWTONIAN HEATING IN THE PRESENCE OF VOLUMETRIC HEAT GENERATION

In this study, we examine the combined effects of a transverse magnetic field and an exponentially decaying heat source on boundary layer flow of a viscous incompressible electrically conducting fluid over an inclined plate with a Newtonian surface heating. The governing partial differential equations with the appropriate boundary conditions are reduced to a set of nonlinear ordinary differential equations using similarity transformations. The obtained differential equations are solved numerically using a fourth-order Runge-Kutta integration scheme along with an efficient shooting technique. A comparison with earlier results in the literature shows perfect agreement. Effects of various embedded parameters on the fluid velocity, fluid temperature, skin friction, plate surface temperature, and heat transfer rate are presented graphically and discussed quantitatively.

Identifying key players in a social network: Measuring the extent of an individual's Neighbourhood Connectivity

In this paper, we argue that only sufficient increase in distance between the nodes which can virtually disconnect the graph is necessary instead of the physical disconnection of the network to identify the key players in a network. A procedure is described for finding sets of key players in a social network. A key assumption is that the importance of a node v not only depends on the cohesion of its personal network but also depends on, to which extent the immediate neighbors and indirect contacts of node v are connected with each other. Therefore, a new measure of importance of a node in a network has been described which suggests the best node whose removal maximally increases the distances between rests of the nodes to virtually disconnect the graph at-least. Moreover, an algorithm based on network disruption has also been described which uses the proposed measure and chooses a single or group of nodes as key players in a network.