End wall flows in rotors and stators of a single stage compressor

A computer code for solving the parabolized Navier-Stokes equations for internal flows was developed. Oscillations that develop in the calculation procedure are discussed. The measurements made in the hub and annulus wall boundary layers are summarized. The flow in the hub wall boundary layer, starting ahead of the inlet guide vanes to the inlet of the rotor is traced

Complex free energy landscapes in biaxial nematics and role of repulsive interactions : A Wang - Landau study

General quadratic Hamiltonian models, describing interaction between crystal molecules (typically with $D_{2h}$ symmetry) take into account couplings between their uniaxial and biaxial tensors. While the attractive contributions arising from interactions between similar tensors of the participating molecules provide for eventual condensation of the respective orders at suitably low temperatures, the role of cross-coupling between unlike tensors is not fully appreciated. Our recent study with an advanced Monte Carlo technique (entropic sampling) showed clearly the increasing relevance of this cross term in determining the phase diagram, contravening in some regions of model parameter space, the predictions of mean field theory and standard Monte Carlo simulation results. In this context, we investigated the phase diagrams and the nature of the phases therein, on two trajectories in the parameter space: one is a line in the interior region of biaxial stability believed to be representative of the real systems, and the second is the extensively investigated parabolic path resulting from the London dispersion approximation. In both the cases, we find the destabilizing effect of increased cross-coupling interactions, which invariably result in the formation of local biaxial organizations inhomogeneously distributed. This manifests as a small, but unmistakable, contribution of biaxial order in the uniaxial phase.The free energy profiles computed in the present study as a function of the two dominant order parameters indicate complex landscapes, reflecting the difficulties in the ready realization of the biaxial phase in the laboratory.Comment: 23 pages, 12 figure

Three dimensional flow field inside compressor rotor, including blade boundary layers

The flow in a turbomachinery blade passage has a predominant flow direction. The viscous diffusion in the streamwise direction is usually small and the elliptic influence is transmitted upstream through the pressure field. Starting with a guessed pressure field, it is possible to converge on the full elliptic solution by iterating between a parabolic solution and an iteration of the pressure field. The main steps of the calculation are given. The blade boundary layers which are three dimensional with laminar, transitional, turbulent, and separation zones are investigated. The kinetic energy is analyzed, and the dissipation equation is presented. Measurements were made of the three dimensional flow inside an axial flow compressor passage

The thermodynamic limit for fractional exclusion statistics

I discuss Haldane's concept of generalised exclusion statistics (Phys. Rev. Lett. {\bf 67}, 937, 1991) and I show that it leads to inconsistencies in the calculation of the particle distribution that maximizes the partition function. These inconsistencies appear when mutual exclusion statistics is manifested between different subspecies of particles in the system. In order to eliminate these inconsistencies, I introduce new mutual exclusion statistics parameters, which are proportional to the dimension of the Hilbert sub-space on which they act. These new definitions lead to properly defined particle distributions and thermodynamic properties. In another paper (arXiv:0710.0728) I show that fractional exclusion statistics manifested in general systems with interaction have these, physically consistent, statistics parameters.Comment: 8 page

A Comparative Clinical Study on the Management of Arshas with Haridradi Lepa and Pippalyadi Lepa

Arsha is as old mankind being an abnormal to routine life. Arsha does not cause any threat to life but troubles a lot, so it is included in one of the Astha Maharogas by Sushruta. This disease is largely confined to the Guda but also in Nasa, Netra, Karna etc. regions. Aetiological factors are vitiation of Doshas in Gudavalis, injury due to throne, stone, nail, vehicle, regular contact of cold water etc. Haemorrhoids are the varicosity of haemorrhoidal veins. Depending on the site these are 3 types viz, Internal, Externel and Intero-external Haemorrhoids. Depending upon bleeding these are 2 types which are bleeding and non bleeding piles. The presently available treatment measures are Aushadha, Shastra, Kshara and Agnikarma. Local external application is described by Sushruta, Yogaratnakara, Charaka and others. Hence a comparative clinical study is planned to evaluate the efficiency and malignant role of Haridradi Lepa and Pipplayadi Lepa in Arshas (Piles). In this study sample size of 40 patients were selected by simple random sampling, 20 in Group-A and 20 in Group-B, in Group-A, Haridradi Lepa was used, where as in Group-B Pippalyadi Lepa was used. The therapeutic effects was analyzed by using the subjective parameters viz. pain and discomfort during sitting and objective paramaters viz, size, BPR (bleeding per rectum), mucous discharge etc. The duration of treatment was 15 days and clinical assesement was done in 5 days interval. At the end of study, the Haridradi Lepa has shown significally benefical result in sustaianable manner