Biomechanics of a Bifurcating Green Plant: The Roles of Bifurcation Angle and Soil Nature on Crops Growth and Productivity

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.