Papers by Abiodun AJIBADE
International Journal of …, Jan 1, 2011
This paper introduces a novel generalized concept of higher order heart-oriented rhotrix multipli... more This paper introduces a novel generalized concept of higher order heart-oriented rhotrix multiplication expression. The multiplication method we adapted is intended to maintain the unique properties associated with the initial definition of rhotrix. The special multiplication process can be used to solve various problems involving n x n rhotrices multiplication. Most importantly a generalized expression for representing n-dimensional rhotrix in a computational environment is presented. Sequential computational algorithm for higher order rhotrices multiplication is designed to buttress the mathematical expression, axioms and logic presented in this paper.
International Journal of Fluid …, Jan 1, 2012
This paper presents both analytical and numerical analyses of a fully developed unsteady/steady n... more This paper presents both analytical and numerical analyses of a fully developed unsteady/steady natural convection flow of a reactive viscous fluid in an open ended vertical annulus. Analytical expressions for velocity, temperature, skin-friction and rate of heat transfer are obtained after simplifying and solving the governing differential equations with reasonable approximations. The interesting result found in this study is that an increase in non-dimensional time ( ) t , increases both temperature and velocity profiles until a steady-state value is attained. Subsequent results obtained by numerical calculations show excellent agreement with analytical results.
Unsteady free convective Couette flow of heat generating/absorbing fluid
International Journal of Energy and Technology, Jan 1, 2010
… of the Institution of Mechanical Engineers …, Jan 1, 2010
This paper presents transient motion of a viscous and incompressible fluid between two infinite v... more This paper presents transient motion of a viscous and incompressible fluid between two infinite vertical parallel plates due to natural convection currents occurring as a result of application of isothermal and adiabatic conditions on the plates. The method of Laplace transform is used to solve the problem. During the course of computation, an excellent agreement was found between the well known steady-state solutions and transient solutions at large value of time.
Transient natural convection flow between vertical parallel plates with temperature dependent heat sources/sinks
Journal of Heat Technology, Jan 1, 2009
Classroom note: Two conditions for a quadrilateral to be cyclic expressed in terms of the lengths of its sides
International Journal of Mathematical …, Jan 1, 2003
The necessary and sufficient condition for a convex quadrilateral to be cyclic is usually given i... more The necessary and sufficient condition for a convex quadrilateral to be cyclic is usually given in terms of its angles, namely that the opposite angles are supplementary. In this paper, two different necessary and sufficient symmetrical conditions are proved, which are expressed ...
The concept of rhotrix in mathematical enrichment
International Journal of Mathematical Education in …, Jan 1, 2003
1. Introduction Mathematical arrays that are, in some way, between two-dimensional vectors and ð2... more 1. Introduction Mathematical arrays that are, in some way, between two-dimensional vectors and ð2 Â 2Þ-dimensional matrices, and denoted matrix-tertions and noitrets, were discussed in [1]. Here, we introduce objects which are, in some ways, between ð2 Â 2Þ-dimen- ...
… in Nonlinear Science and Numerical Simulation, Jan 1, 2011
This paper investigates the influence of the effect of viscous dissipation and radiation on natur... more This paper investigates the influence of the effect of viscous dissipation and radiation on natural convection heat transfer from vertical flat plate in a non-Darcy porous media saturated with non-Newtonian fluid of variable viscosity. The wall and the ambient medium are maintained at constant but different levels of temperature. The Ostwald-de Waele power law model is used to characterize the non-Newtonian fluid behavior. The viscosity of the fluid is assumed to follow Reynolds viscosity model. Rosseland approximation is used to describe the radiative heat flux in the energy equation. The governing equations in their non-similar form are solved numerically by local non-similarity method. The effects of variable viscosity, viscous dissipation, radiation and the power-law index parameters on the velocity and temperature profiles as well as on the heat transfer coefficient are analyzed.
Algorithm Design for Row-Column Multiplication of NDimensional Rhotrices
Global Journal of …, Jan 1, 2011
This paper presents unsteady as well as steady-state free convection Couette flow of reactive vis... more This paper presents unsteady as well as steady-state free convection Couette flow of reactive viscous fluid in a vertical channel formed by two infinite vertical parallel porous plates. The motion of the fluid is induced due to free convection caused by the reactive nature of viscous fluid as well as the impulsive motion of one of the porous plates. The Boussinesq assumption is applied, and the nonlinear governing equations of motion and energy are developed. The time-dependent problem is solved using implicit finite difference method, and steady-state problem is solved by applying regular perturbation technique. During the course of computation, an excellent agreement was found between the well-known steady-state solutions and transient solutions at large value of time.
Mathematical and Computer Modelling, Jan 1, 2011
The problem of fully-developed transient free-convection flow of viscous reactive fluid in a vert... more The problem of fully-developed transient free-convection flow of viscous reactive fluid in a vertical tube is analyzed both analytically and numerically. The study reports the effect of several operating parameters on the flow hydrodynamics and thermal characteristics. The solutions for transient state velocity and temperature fields are obtained by implicit finite difference method. To check the accuracy of the numerical solution steady-state solutions for temperature field and velocity field are obtained by using perturbation series method. Skin-friction and Nusselt number at the surface of tube are determined. The significant results from this study are that both velocity and temperature increase with the increase in the value of reactant consumption parameter and non-dimensional time until they reach steady-state value. The results also indicate that it takes longer time to attain steady-state in the case of water than air. During the course of computation, it was observed that the analytical and numerical solutions agree very well at large value of time.
Journal of heat transfer, Jan 1, 2011
Applied Mathematical Modelling, Jan 1, 2011
ZAMM‐Journal of Applied Mathematics …, Jan 1, 2010
A suction/injection controlled free convective motion of a viscous incompressible fluid between t... more A suction/injection controlled free convective motion of a viscous incompressible fluid between two periodically heated infinite vertical parallel plates is presented. The temperature and velocity fields are separated into steady and periodic parts and the resulting second order ordinary differential equations solved to obtain the solution to the problem. The influence of each governing parameter is discussed with the aid of contour maps. The significant result from this study is that temperature is higher near the plate with injection while velocity is more enhanced near the plate with suction. It is also interesting to note that for large values of suction, the nature of the flow is that of constant heating of the plates, while for large values of Strouhal number, the flow behaves as if there was no suction/injection at the plates (Wang, ).
International Communications in Heat …, Jan 1, 2011
The problem of fully-developed transient free-convection flow of viscous reactive fluid in a vert... more The problem of fully-developed transient free-convection flow of viscous reactive fluid in a vertical tube is analyzed both analytically and numerically. The study reports the effect of several operating parameters on the flow hydrodynamics and thermal characteristics. The solutions for transient state velocity and temperature fields are obtained by implicit finite difference method. To check the accuracy of the numerical solution steady-state solutions for temperature field and velocity field are obtained by using perturbation series method. Skin-friction and Nusselt number at the surface of tube are determined. The significant results from this study are that both velocity and temperature increase with the increase in the value of reactant consumption parameter and non-dimensional time until they reach steady-state value. The results also indicate that it takes longer time to attain steady-state in the case of water than air. During the course of computation, it was observed that the analytical and numerical solutions agree very well at large value of time.
International Communications in Heat and Mass …, Jan 1, 2009
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Papers by Abiodun AJIBADE