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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 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.