Volume 88, Issue 5
October 1979, pages 377-458
pp 377-385 October 1979
Gas particulate boundary layer equations with no pressure gradient are computed numerically in the physical plane by a Crank-Nicholson scheme of finite differences. Results so obtained are compared with the approximate method of Tabakoff and Hamed. The present analysis gives accurate description of the structure of the boundary layer of the gas particulate flow. A parametric study giving the effect of the changes in the non-dimensional parameter$$\bar F$$ on the various characteristics of the flow is also carried out.
pp 387-391 October 1979
Principles of elastostatics are followed here to investigate the displacement and stresses of a dielectric body between two concentric spherical surfaces which are at constant potentials. The dielectric is heterogeneous in character so that its specific inductive capacity varies as any function of the distance from the centre. The bounding surfaces are subjected to internal and external mechanical pressures of different magnitudes.
pp 393-397 October 1979
Steady flow of a viscous incompressible fluid through a channel bounded by two confocal elliptic walls have been discussed. A suitable velocity of suction and injection have been applied and skin friction has been calculated.
pp 399-407 October 1979
The magnetohydrodynamic flow of an electrically conducting viscous fluid between a rotating and a stationary disc has been studied numerically by the Newton-Raphson method and the method of continuation. The results have been calculated for a wide range of parameters involved, thus indicating the efficiency of the methods. The induced electric field has also been calculated for various values of suction Reynolds number.
pp 409-417 October 1979
The existence and uniqueness of the similarity profiles for the imbibition phenomenon which may arise due to the difference in the wetting abilities of the two immiscible fluids involved in the displacement process through porous media is discussed. By assuming the validity of the Darcy’s law, a mathematical model has been described and it is found that the investigated flow system is governed by a nonlinear diffusivity type equation. The existence and uniqueness of its similarity solutions have been proved by considering the bounds on the saturation coefficient,N(Sw) which is regarded as positive and piecewise continuously differentiable.
pp 421-457 October 1979
The aim of this paper is to show that there is a natural “compactification” of the Picard Scheme of a Family of Curves and to study its properties.
pp 458-458 October 1979 Erratum