Application of Laplace Beltrami Equation to Solve Vortex Flow in a Closed Cylinder with Dirichlet Boundary Condition
1 Department of Mathematics, Federal University Lokoja
2 Department of Mathematics and Statistics Kogi State University of Science and Technology Osara, Nigeria
* Corresponding author: momohsheidu23@gmail.com
2 Department of Mathematics and Statistics Kogi State University of Science and Technology Osara, Nigeria
* Corresponding author: momohsheidu23@gmail.com
Abstract
The guiding equation here happens to be the Laplacian for
Cylinder, the equation was obtained by using the known definition of differential operator for Cylindrical coordinates (rho,
theta, z), it was then decomposed into three Partial Differential
Equation (PDE) by variable separable methods and solved
independently to obtain the general solution. Finally, contour
plots of the solution describing vortex movement in the interior
region of a closed Cylinder of arbitrary length l were obtained.
Keywords
Vortex Flow
Laplace-Betrami
Incompressible
Green’s Function
Navier-Stokes
How to Cite
Momoh, S. O., Aniki, S. A., & Amoo, U. F. (2022). Application of Laplace Beltrami Equation to Solve Vortex Flow in a Closed Cylinder with Dirichlet Boundary Condition. Nigerian Journal of Mathematics and Applications, 32(1), 104-116. https://doi.org/10.67897/njma.2022.yw3rpfga
S. O. Momoh, S. A. Aniki, and U. F. Amoo, "Application of Laplace Beltrami Equation to Solve Vortex Flow in a Closed Cylinder with Dirichlet Boundary Condition," Nigerian Journal of Mathematics and Applications, vol. 32, no. 1, pp. 104-116, June 2022. doi: 10.67897/njma.2022.yw3rpfga
