• ADVECTION DIFFUSION EQUATION FOR NUTRIENT UPTAKE BY AQUATIC SPHERICAL BULB SURFACE WITH NONLINEAR BOUNDARY CONDITION

Abstract

In this article, we derived mathematical expression for nutrient uptake by spherical bulb surface of aquatic plant, which is the advection diffusion equation in the spherical radial form. We assume Michal Menten boundary condition as boundary condition for advection diffusion equation, which is nonlinear surface boundary condition. We obtained the solution for advection diffusion equation reducing it into the Bessel's equation by the method of separation variable using the boundary and initial conditions by re-scaling the variables and using extreme parameters.