http://irepo.futminna.edu.ng:8080/jspui/handle/123456789/145 2026-02-18T15:15:39Z http://irepo.futminna.edu.ng:8080/jspui/handle/123456789/29804 Title: Behaviour of Contaminant in a Flow due to Variations in the Cross-Flow dispersion under a Dirichlet Boundary Conditions Authors: Jimoh, O. R; Adebayo, A; Salihu, N. O; Bako, D Abstract: The advection-dispersion equation (ADE) is mostly adopted in evaluating solute migration in a flow. This study presents the behavior of contaminant in a flow due to variations in the cross-flow dispersion under a Dirichlet boundary conditions. The analytical solution of a two-dimensional advection-dispersionequation for evaluating groundwater contamination in a homogeneous finite medium which is initially assumed not contaminant free was obtained. In deriving the model equation, it was assumed that there was a constant point-source concentration at the origin and a Dirichlet type boundary condition at the exit boundary. The cross-flow dispersion coefficients, velocities and decay terms are time-dependent. The modeled equation was transformed using some space and time variables and solved by parameter expanding and Eigen functions expansion method. Graphs were plotted to study the behavior of the contaminant in the flow. The results showed that increase in the cross-flow coefficient decline the concentration of the contaminant with respect to increase in time, vertical distance and horizontal distance in different patterns 2024-01-01T00:00:00Z http://irepo.futminna.edu.ng:8080/jspui/handle/123456789/29803 Title: MATHEMATICAL MODELING OF BLOOD FLOW IN THE STENOSED ARTERY Authors: Salihu, Omeiza Nasiru Abstract: In this paper, an analytical study of effects of blood flow in the blood vessels has been investigated. The viscosity of the blood is assumed to be varying radially with hematocrit throughout the region of the artery. The blood flow is assumed to be Newtonian fluid, incompressible, laminar, and steady. In order to model this problem, Navier-Stokes equations was used to derive the governing equations that represent this problem. We simplified the governing equations by linearizing the equations and solved by finite different method. We observed that the size of the blood vessel influenced the blood flow. A little change on the cross-sectional value makes a very significant change on the blood flow rate. 2021-01-01T00:00:00Z http://irepo.futminna.edu.ng:8080/jspui/handle/123456789/28911 Title: Theory of PDEs Slides Authors: Abdulhakeem, Yusuf 2024-05-30T00:00:00Z http://irepo.futminna.edu.ng:8080/jspui/handle/123456789/28899 Title: THEORY OF PATIAL DIFFERENTIAL EQUATION Authors: AIYESIMI, YOMI MONDAY; Yusuf, Abdulhakeem 2010-08-12T00:00:00Z