If you arm yourself with 20 matches, you will have ample material for a trial-and-error solution.
The open close iteration involves repeatedly fixing and removing the artificial springs between blocks in contact and thus falls into the category of trial-and-error solution procedures that cannot guarantee the solution is always convergent.
To perform this type of design calculation, the first step is to identify whether the flow is choked or not through a trial-and-error solution of an equation for adiabatic flow with friction from a reservoir through a pipe.
Conventional design techniques require specification of one and only one boundary condition on each surface of a system, requiring trial-and-error solutions to achieve a design that satisfies the second specified condition.
This type of analysis requires tedious trial and error solutions to reach the objective calibration.
The overall process is a trial-and-error approach: a new solution is accepted only if it improves the objective function (1).
"Trial-and-error is a valid solution technique, allowing all students to approach the problems at some level".
The method proposed generates without trial-and-error a family of solutions depending on a sequence of values of a parameter under consideration, e.g. reflux ratio, side-stream flows, condenser duty etc.
In most industrial design processes, the approaches used to obtain a design solution that best fits the specification requirements result in many iterations of the "trial-and-error" type, starting from an initial solution.
If a task has multiple solutions, then perhaps trial-and-error will lead different people to different solutions (as it did in Mesoudi and O'Brien's study), such that cultural attraction can generate and maintain cultural diversity.
However, I've discovered through trial-and-error that sometimes the best solutions arise when you think beyond the label.
