Biomechanics of a Bifurcating Green Plant: The Roles of Bifurcation Angle and Soil Nature on Crops Growth and Productivity | Chapter 01 | Theory and Applications of Chemistry Vol. 3
Analytic study of the xylem flow in a
bifurcating green plant is presented. The model involves a set of non-linear
differential equations, which are tackled using the perturbation method of
solutions. Solutions of the velocity, temperature, concentration, Nusselt and
Sherwood numbers are obtained and presented graphically. It is observed that
increase in the bifurcation angle increases the flow velocity and
concentration, Nusselt and Sherwood numbers, whereas the soil parameter
(magnetic field force) decreases the velocity and Nusselt number but increases
the concentration and Sherwood number. These results have tremendous effect on
the growth and yield of the plant. In particular, the increase in the transport
velocity and concentration tend to increase the rate at which water and
nutrients are made available to the plant, thus enhancing the growth and yield
of the plant (crops); the variation in the electrolytic strength of the soil
mineral salt water leading to a lower or higher Lorentz force tends to accounts
for why some plants do well in some regions than in the others. Furthermore, it
is seen that when the angle of bifurcation is zero (i.e. α =0) and the magnetic field and thermal
diffusion parameter are neglected the flow structures.
Author(s) Details
Dr. W. I. A. Okuyade
Department of Mathematics
and Statistics, University of Port Harcourt, Port Harcourt, Nigeria.
Prof. T. M. Abbey
Department of Physics,
Applied Mathematics and Theoretical Physics Group, University of Port Harcourt,
Port Harcourt, Nigeria.
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