• Volume 88, Issue 5

October 1979,   pages  377-458

• Laminar boundary layer of gas particulate flow on a flat plate

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.

• Stresses in spherical shells of heterogeneous dielectrics

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.

• Flow through a channel bounded by two confocal porous elliptic walls

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.

• A numerical study of magnetohydrodynamic flow between a rotating and a stationary porous coaxial discs

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.

• Existence and uniqueness of similarity solutions of imbibition equation

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.

• Compactification of generalised Jacobians

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.

• Erratum

• Proceedings – Mathematical Sciences

Volume 130, 2020
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Continuous Article Publishing mode

• Editorial Note on Continuous Article Publication

Posted on July 25, 2019