In this research, we present analytical solution of two phase incompressible flow through a homogeneous porous medium. Water was injected at one end of the porous medium to stimulate oil recovery at the other end. From the modelled equations, we are able to determine pressure variation at different depth profiles. The results revealed increase in pressure as depth increases. This is in line with what is obtainable in practical scenarios.
This study considered the Ruin problem with an income process with stationary independent increments. The characterization is obtained which is general for the probability of r(y), that the asset of a firm will never be zero whenever the initial asset level of the firm is y. The aim of this study is also to determine r(y, A condition that is necessary and sufficient is studied for a distribution that is onedimensional of Xn which coverages to X*.The result that is obtained concerning the probability, is of ruin before time t. Riemann-Stieltjes integral, two functions f and with symbol as ( ) ( ) b a f x d x was used and is a special case in which () = x, where has a continuous derivative. It is defined such that the Stieltjes integral ( ) ( ) b a f x d x becomes the Riemann integral
A study of slow seepage of polar fluids through porous media is made using smoothed continuity equation and Darcy’sequation in a porous medium. A transformation and approximate solution of the governing equations was carried out andits analysis showed that increase in both porosity and permeability result in an increase in the pressure of the fluid.Comparison with other studies also showed reasonable agreement.
The effect of electromagnetic field in a resistant medium of a free jet was carried out. The solutions of the governing equations showed that increase in electric field also increases the  velocity profile of the fluid while increase in magnetic field decreases the velocity of the fluid particle. Increase in path angle beyond radian, shows improved location of objects in a resistant medium proportional to the velocity.Â
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