Abstract
Diffusiophoresis occurs when colloids are placed in the non-uniform solute concentration. The colloids will be propelled in the direction of higher or lower concentration of the solute. In this paper, we consider the optimal boundary control of 1D colloid transport in a dead-end channel, which has a wide range of applications such as drug delivery, biology transport, oil recovery system and so on. Thus, we introduce a coupled system describing the colloid transport process and formulate an optimal control problem, in which the goal is to minimize colloid density distribution deviation between the computational one and the target at a pre-specified terminal time. To solve this optimal problem, we derive the gradient of the objective function based on the control parameterization method with respect to the decision parameters, which depends on the solution of the coupled system and the costate system. Finally, we propose an effective computational method and a gradient-based optimization algorithm to solve the optimal control problem numerically.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: 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.
