Abstract
Kantorovich's method for obtaining approximate solutions to problems of unsteady diffusion of heat and momentum is applied to unsteady ground water seepage flow problems. Simple profiles satisfying free surface boundary conditions in the spatial domain are assumed, leaving the time dependence to be determined from the governing equations. The governing nonlinear partial differential equation is thus reduced to a nonlinear ordinary differential equation whose exact solution is easily obtained. Results obtained using second-order profiles for both the sudden buildup case and the sudden drawdown case compare well with experimental data.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.