The acceptable level of risk-taking for traditional rock climbers

Taking risk with all the consequences inevitably belongs to climbing. Each climber confronts his or her skills with the route he or she has chosen for an ascent. If the route is well protected, the rate of risk the climber takes is lower. If the route is less protected, the level of risk that the climber is exposed to proportionally increases. The aim of the research is to determine the level of risk-taking in traditional climbing on sandstone. We focus on how the level of risk affects climber’s performance and what reserve a climber needs to be able to cope with the higher risk and reduce it? The problem is solved by methods of quantitative research and the sample comprises more than 300 respondents. The results of the research prove a significant difference of climbers’ performance in dependence on rate of risk. Climbers usually reach lower performance according to the grading scale when climbing traditional routes with a higher level of risk.

Retrofit of heat exchanger networks with pressure recovery of process streams at sub-ambient conditions

This paper presents a new mathematical programming model for the retrofit of heat exchanger networks (HENs), wherein the pressure recovery of process streams is conducted to enhance heat integration. Particularly applied to cryogenic processes, HENs retrofit with combined heat and work integration is mainly aimed at reducing the use of expensive cold services. The proposed multi-stage superstructure allows the increment of the existing heat transfer area, as well as the use of new equipment for both heat exchange and pressure manipulation. The pressure recovery of streams is carried out simultaneously with the HEN design, such that the process conditions (streams pressure and temperature) are variables of optimization. The mathematical model is formulated using generalized disjunctive programming (GDP) and is optimized via mixed-integer nonlinear programming (MINLP), through the minimization of the retrofit total annualized cost, considering the turbine and compressor coupling with a helper motor. Three case studies are performed to assess the accuracy of the developed approach, including a real industrial example related to liquefied natural gas (LNG) production. The results show that the pressure recovery of streams is efficient for energy savings and, consequently, for decreasing the HEN retrofit total cost especially in sub-ambient processes.