I have a heat sink geometry and the flow conditions are laminar. I want to get an optimized geometry to get higher nusselt number and less pressure drop.
As a beginner, i want to get learn how to choose the optimization techniques.
As a beginner you can use the very simple equation to evaluate PEC, see this paper A numerical study of nanofluid forced convection in ribbed channels.
It will depend on how well your problem is defined. If your problem is modeled by a mathematical function. Then you can use conventional optimization methods such as Newton methods. Matlab has exhaustive tool box for conventional optimization. You can solve the optimization problem using professional solvers such as AIMMS, GAMS, and etc.
If you want to go the things much more easily, use meta heuristic algorithms for which you no need to do much. Matlab also has some inbuilt meta heuristic algorithms: GA, PSO.