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T. M. Abbey

Publications (12)

Sugar Transport in a Merging Phloem Vessels: A Hydrodynamic Model

W. I. A. Okuyade, T. M. Abbey & M. E. Abbey · Advances in Research · 2021

Green plants are the major tappers of the energy from the sun. The collected solar energy in the form of light is used to activate the chemical reaction occurring in matured leaves between carbon dioxide and water, leading to the synthesis of sugar (chemical energy). Two main tra...

Open access Research Article 10.9734/air/2021/v22i230293

A Blood Flow Model of a Bifurcating Artery

W. I. A. Okuyade & T. M. Abbey · Asian Journal of Physical and Chemical Sciences · 2017

A flow model of blood in a normal bifurcating artery is presented. The models of the problem are solved using the regular perturbation series expansion. Solutions of the temperature, concentration, velocity, Nuselt number, Sherwood number and skin friction are realized, and prese...

Open access Research Article 10.9734/AJOPACS/2017/35528

On Thermal Factor and MHD Mixed Convective Oscillatory Blood Flow in a Bifurcating Artery

W. I. A. Okuyade & T. M. Abbey · Asian Journal of Physical and Chemical Sciences · 2017

Oscillatory blood flow in bifurcating arteries with emphasis on the thermal factor is investigated. Blood is treated as Newtonian, viscous, incompressible, homogeneous, magnetically susceptible, chemically reactive but of order one; the arteries are porous, bifurcate axisymmetric...

Open access Research Article 10.9734/AJOPACS/2017/35244

Biomechanics of a Bifurcating Green Plant, Part 2: Environmental Thermal Effects

W. I. A. Okuyade & T. M. Abbey · Asian Journal of Physical and Chemical Sciences · 2017

The effects of environmental temperature differentials on the flow of soil mineral salt water in a bifurcating green plant is presented. The problem involves a set of non-linear differential equations tackled by means of a regular perturbation method. Expressions for the velocity...

Open access Research Article 10.9734/AJOPACS/2017/32621

Steady Oscillatory Flow in a Bifurcating Green Plant

W. I. A. Okuyade & T. M. Abbey · Asian Research Journal of Mathematics · 2017

Steady oscillatory flow in a bifurcating green plant is investigated. The channel is assumed axisymmetrical and porous; the fluid is Newtonian, incompressible, electrically conducting and chemically reactive but of the order one homogeneous type. The models are developed using th...

Open access Research Article 10.9734/ARJOM/2017/31306

Steady MHD Fluid Flow in a Bifurcating Rectangular Porous Channel

W. I. A. Okuyade & T. M. Abbey · Advances in Research · 2016

Steady MHD fluid flow in a bifurcating rectangular porous channel is presented. The governing nonlinear equations are solved analytically by the methods of similarity transformation and regular perturbation series expansions. Expressions for the temperature, concentration and vel...

Open access Research Article 10.9734/AIR/2016/26399

A Hydrodynamic Model of Flow in Bifurcating Streams, Part 2: Effects of Environmental Thermal Differentials

W. I. A. Okuyade & T. M. Abbey · Physical Science International Journal · 2016

This paper presents a hydrodynamic model of flow in a bifurcating stream, in which the effects of environmental thermal differentials are investigated. The governing nonlinear and coupled equations are solved analytically using similarity transformation and perturbation series ex...

Open access Research Article 10.9734/PSIJ/2016/26430

A Hydrodynamic Model of Flow in a Bifurcating Stream, Part 1: Effects of Bifurcation Angle and Magnetic Field

W. I. A. Okuyade & T. M. Abbey · Physical Science International Journal · 2016

A hydrodynamic model of the flow in a bifurcating stream is presented. The problem is modeled using the Boussinesq approximations, and the governing nonlinear equations solved analytically by the methods of similarity transformation and regular perturbation series expansions. Sim...

Open access Research Article 10.9734/PSIJ/2016/26410

Oscillatory Blood Flow in Convergent and Divergent Channels, Part 1: Effects of Pulse Amplitude and Local Constriction Height

W. I. A. Okuyade & T. M. Abbey · Journal of Advances in Mathematics and Computer Science · 2016

Oscillatory blood flow in convergent and divergent channels is investigated. The problem which involves a set of non-linear differential equations is handled analytically using the method of regular perturbation series solutions. Solutions are obtained for the velocities, pressur...

Open access Research Article 10.9734/BJMCS/2016/23221

Oscillatory Blood Flow in Convergent and Divergent Channels, Part 2: Effects of Reynolds Number

W. I. A. Okuyade & T. M. Abbey · Journal of Advances in Mathematics and Computer Science · 2016

This paper studies the effects of Reynolds number on the oscillating flow in convergent and divergent channels. The nonlinear equations governing the flow are solved analytically by the method of perturbation series solutions. Expressions for the velocities and wall shear stress...

Open access Research Article 10.9734/BJMCS/2016/23222