1. Faculty Publications
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Item The effect of the thickness of the porous material on the parallel plate channel flow when the walls are provided with non-erodible porous lining(1976) Channabasappa, M.N.; Umapathy, K.G.; Nayak, I.V.Flow through a channel whose walls are lined with non-erodible porous material is investigated using Beavers and Joseph slip boundary condition. It is shown that the effect of porous lining is to increase the mass flow rate and to decrease the friction factor. 1976 Martinus Nijhoff Publishers.Item On exceptional values of entire and meromorphic functions(1974) Narayanan, K.A.Let f(z) be meromorphic function of finite nonzero order ?. Assuming certain growth estimates on f by comparing it with r?L(r) where L(r) is a slowly changing function we have obtained the bounds for the zeros of f(z) -g (z) where g (z) is a meromorphic function satisfying T (r, g)=o {T(r, f)} as r ? ?. These bounds are satisfied but for some exceptional functions. Examples are given to show that such exceptional functions exist. 1974 Indian Academy of Sciences.Item Flow of viscous stratified fluid of variable viscosity past a porous bed(1976) Channabasappa, M.N.; Ranganna, G.To study the effects of stratification and slip velocity on the flow of fluid of variable viscosity over a permeable bed, we divide the flow into two zones called zone 1 and zone 2. Zone 1 pertains to the flow called the free flow governed by the Navier-Stokes equations in the region between the impermeable upper plate and the porous bed.. Zone 2 pertains to the flow in the bed governed by the modified Darcy Law. Using the slip velocity boundary condition, velocity distributions in zones 1 and 2 are obtained and are matched at the interface. The boundary layer thickness just beneath the permeable interface and the friction factor are also obtained. 1976 Indian Academy of Sciences.Item Flexural behaviour of pretensioned concrete beams with limited prestress(1973) Krishna, Raju, N.; Basavarajaiah, B.S.; Ahamed, Kutty, U.C.The behaviour of class-3 type prestressed concrete beams, at the limit states of cracking, deflexion and collapse are investigated by experiments on pretensioned beams with mild steel as supplementary reinforcement. Several methods of calculating the width of cracks are examined in the light of experimental results and an empirical formula, which includes the effect of percentage of untensioned reinforcement is suggested. The deflexions of beams, based on the method of Beeby and Taylor, were marginally conservative when compared with the experimental results. The ultimate moment capacity of concrete sections with tensioned and untensioned reinforcement, was underestimated by as much as 10, 15 and 25 per cent by the Indian, British and American Code recommendations. 1973.Item Effect of porous lining on the flow between two concentric rotating cylinders(1979) Channabasappa, M.N.; Umapathy, K.G.; Nayak, I.V.The effect of non-erodible porous lining on the flow between two concentric rotating cylinders is investigated using Beavers and Joseph slip boundary condition. It is shown that the shearing stress at the walls increases with the porous lining thickness parameter ?. 1979 Indian Academy of Sciences.Item Digital Simulation of Multimachine Power Systems for Stability Studies(1968) Prabhashankar, K.; Janischewsyj, W.A digital simulation technique suitable for detailed analysis of both large and small disturbances on extensive power systems is presented. The analysis employs a hybrid reference frame for statement of the problem and for its solution. The equations of the interconnecting network are expressed with regard to a synchronously rotating common reference frame and are treated with the aid of matrix methods. Synchronous machine equations and equations of the voltage regulator and of the speed governor are solved in Park's reference frame fixed to the field of each individual machine. Provision is made for representing different machines in different degrees of detail. An efficient numerical technique for solution of the resulting complex nonlinear equations describing the behavior of the complete power system is introduced. Copyright 1968 by The Institute of Electrical and Electronics Engineers, Inc.