International Journal of Mathematics Trends and Technology
Volume 53 | Number 2 | Year 2018 | Article Id. IJMTT-V53P512 | DOI : https://doi.org/10.14445/22315373/IJMTT-V53P512
In this article, we use advection diffusion equation for nutrient up- take by the aquatic root which is considered as cylindrical, i.e, we obtain concentration of nutrient entering into the root surface by ad- vection diffusion equation. The equation is written in the radial form and solved using Michal Menten boundary condition, which is nonlin- ear boundary condition. It is found that generally advection diffusion is solved taking Peclet number as zero, then equation reduces to the diffusion equation and solved by Laplace method [10]. But we solve the advection diffusion equation without taking Peclet number as zero and solved by re-scaling and using separation of variable which reduces it into Bessel's equation. For particular solution, we use extreme pa- rameters.
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Avhale.P.S, "Advection Diffusion Equation for Nutrient Uptake by Aquatic Plant Root with Nonlinear Boundary Condition," International Journal of Mathematics Trends and Technology (IJMTT), vol. 53, no. 2, pp. 90-103, 2018. Crossref, https://doi.org/10.14445/22315373/IJMTT-V53P512
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