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 Stability of viscous flow in a rotating porous medium in the form of an annulus: The small?gap problem(1984) Channabasappa, M.N.; Ranganna, G.; Rajappa, B.The paper deals with the linear stability analysis of laminar flow of a viscous fluid in a rotating porous medium in the form of an annulus bounded by two concentric circular impermeable cylinders. The usual no?slip condition is imposed at both the boundaries. The resulting sixth order boundary value, eigenvalue problem has been solved numerically for the small?gap case by the Runge?Kutta?Gill method, assuming that the marginal state is stationary. The results of computation reveal that the critical Taylor number increases with decreasing permeability of the medium. The problem is found to reduce to the case of ordinary viscous flow in the annulus obtained by Chandrasekhar,1 when the permeability parameter tends to zero. Copyright 1984 John Wiley & Sons, LtdItem Heat transfer by rotational flow in an annulus with porous lining(1986) Channabasappa, M.N.; Umapathy, K.G.The flow and heat transfer in an annulus between rotating coaxial cylinders, with non-erodible porous lining, is investigated. The flow in the porous lining is obtained by using Brinkman equation. At the boundary between the porous lining and the free flow (the so called nominal surface), the velocity slip and the temperature slip are used. A quasi-numerical technique developed by the authors is employed in obtaining the solution of the energy equation. The effect of the thickness of the porous lining and the permeability on the velocity and the Nusselt numbers at the walls is studied. 1986 Springer-Verlag.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 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 Convective heat transfer in a parallel plate channel with porous lining(1983) Channabasappa, M.N.; Umapathy, K.G.; Nayak, I.V.The paper proposes a theoretical model for the study of flow and heat transfer in a parallel plate channel, one of whose walls is lined with non-erodible porous material, both the walls being kept at constant temperatures. The analysis uses Brinkman model in the porous medium and employs the velocity and temperature slips at the interface (the so called nominal surface). The influence of the thickness as well as the permeability of the porous medium on the flow field and Nusselt numbers at the walls is investigated. 1983 Springer-Verlag.Item A note on the computation of multiple zeros of polynomials by Newton's method(1979) Channabasappa, M.N.[No abstract available]Item CONVECTIVE HEAT TRANSFER BY AXIAL FLOW IN AN ANNULUS WITH POROUS LINING.(1983) Channabasappa, M.N.; Umapathy, K.G.; Nayak, I.V.This paper covers a theoretical model of convective heat transfer by axial flow in an annulus bounded by two long concentric circular cylinders, the outer surface of the inner cylinder being provided with a non-erodible porous lining and the two bounding surfaces being maintained at constant temperatures. The analysis makes use of the velocity slip and the temperature slip boundary conditions at the interface and employs Brinkman model to obtain the velocity field in the porous zone. The influence of various parameters on the velocity and temperature fields is studied.