Performance Prediction and Geometry Optimization for Application of Pump as Turbine: A Review

Pump as Turbine (PAT) is a technically and economically effective technology to utilize small/mini/micro/pico hydropower, especially in rural areas. There are two main subjects that influence the selection and application of PAT. On the one hand, manufacturers of pumps will not provide their characteristics under the turbine mode, which requires performance prediction methods. On the other hand, PAT efficiency is always slightly lower than that of pump, which requires further geometry optimization. This literature review summarized published research studies related to performance prediction and geometry optimization, aimed at guiding for selection and optimization of PAT. Currently, there exist four categories of performance prediction methods, namely, using BEP (Best Efficiency Point), using specific speed, loss modeling, and polynomial fitting. The using BEP and loss modeling methods are based on theoretical analysis, while using specific speed and polynomial fitting methods require statistical fitting. The prediction errors of published methods are within ±10% mostly. For geometry optimization, investigations mainly focus on impeller diameter and blade geometry. The influence of impeller trimming, blade rounding, blade wrap angle, blade profile, blade number, blade trailing edge position, and guide vane number has been studied. Among published methods, the blade rounding and forward-curved impellers are the most effective and feasible techniques.

Contemplating Raising Fees: An Exercise in Therapist Disquiet

This paper discusses the experience of psychodynamically oriented therapists in private practice as they contemplate raising their fees. Raising fees stirs up competing self-interest, transference-countertransference reverberations, financial fantasies and realities, ethical concerns, and uncomfortable as well as satisfied self-reflection. These dynamics are discussed under the following categories: exercise of power; incurring guilt; inappropriate entitlement; fear of loss; modeling of self-care; rapaciousness; unconscious factors; and self-esteem. A cautionary case example is provided. Six suggestions are offered to make therapists' contemplation of raising fees less stressful. The author hopes that this article will foster more open discussions among therapists about the tensions involved in raising fees and, in the process, lead to an enhanced understanding, acceptance, and detoxification of the feelings involved.