Showing papers in "Journal of the Indian Institute of Science in 1977"
Journal Article•
TL;DR: In this paper, the existence of stochastic dynamical systems with a closed loop relation is established under appropriate conditions on a par tially known function, where the output of the dynamical system is a nonlinear transformation of the input X, involving f, and which is corrupted by additive noise terms modelled by the differentials.
Abstract: Under appropriate conditions on a par tially known function : [0, co) x e RN we establish the existence of a wide class of stochastic dynamical systems with a closed loop relation so that the input X (. ) converges to the unknown root cc of the equation f (t == 0. The output Y() of the dynamical system is a nonlinear transformation of the input X (. ) involving f, and which is corrupted by additive noise terms modelled by the differentials. By martingale arguments we demonstrate convergence in mean and with probability one. The procedure may be considered as a continuous-time analog of the Robbins-Monroc scheme for discrete-time processes.
2 citations
Journal Article•
TL;DR: In this article, the performance of long radius nozzles at low and moderate Reynolds numbers was studied in all oil recirculation system. But the results were limited to the case of 1 to 10,000.
Abstract: Flow past lang radius 1I0::::1es is studied in the Reynolds number range of 1 to 10,000 based on experiments in all oil recirculation system. The ratio of nozzle outlet diameter to pipe diameter is varied from 0'2 to 0'8. Aspects studied include the coefficient of discharge, sensitivity of the discharge coefficient to marginal shifts in pressure tap location, loss coefficient, loss as function of the meter pressure differential, critical Reynolds number corresponding to the origin of turbulence downstream of the nozzle, setting length, and nature of development of pressure and velocity fields. The contribution contained in the paper fills the gap that exists in literature on the performance of long radius nozzles at low and moderate Reynolds numbers.
2 citations