Optimal Control Strategy to Distribute Water Through Loop-Like Planar Networks

2020 ◽  
Author(s):  
Bharat Soni ◽  
Utkarsh A. Mishra ◽  
Ameeya Kumar Nayak
Keyword(s):  
Transient Flow ◽  
Optimization Procedure ◽  
Electrical Circuit ◽  
Optimal Time ◽  
Optimal Control Strategy ◽  
Flow Optimization ◽  
Demand Node ◽  
Flow Impedance ◽  
Isothermal Water ◽  
Planar Networks

Abstract In this article, loop like planar networks formed by circular cross sectioned conduits with possibly different geometric measurements are studied to supply the required amount of isothermal water within the optimal time and through the shortest path. The flow optimization procedure is controlled by time varying pressures at nodes throughout the network for given specifications about pressure value at multiple demanding and single supply nodes. The flow governing equation is solved analytically to correlate transient flow rate and pressure and then studied using analogous electrical circuit. For each possible path between source and demand node, minimum equivalent flow impedance criterion is considered to pick the optimum path. This sets a multi-objective dynamic flow optimization algorithm and the same is executed under the assumption of fully developed and laminar flow. The optimum flow impedance can further be used to measure the pumping power as the cost of flow of a particular path. The algorithm can be extended to reduce the water wastages by controlling pressures efficiently.

Paper 1: Computer Solution of Surge Problems

1965 ◽  
Vol 180 (5) ◽  
pp. 62-82
Author(s):  
Victor L. Streeter
Keyword(s):  
Steady State ◽  
Differential Equations ◽  
High Speed ◽  
Transient Flow ◽  
Nonlinear Differential Equations ◽  
Pressure Fluctuations ◽  
Transient Pressure ◽  
Pump Failure ◽  
Flow Equations ◽  
Flow Impedance

Methods for handling the transient flow equations are developed for application of the high-speed digital computer. For incompressible flow cases ordinary nonlinear differential equations occur which are solved simultaneously by established sub-routines on the computer, such as the Runge-Kutta method. For the partial differential equations of compressible water hammer with nonlinear terms such as friction, the method of characteristics and of specified time intervals are employed for those problems in which the flow changes from one steady-state to another steady-state. For steady-oscillatory flow, impedance methods have been adapted to the computer with harmonic analysis of the exciting disturbance. Experimental evidence is presented to confirm the accuracy of the procedures for single and series pipes, for pump failures, and for reciprocating pumps. Additionally the design problem of optimum operation of a valve to minimize transient pressure fluctuations has been introduced and applied to single and series pipes, including a pump failure situation.

Investigations on skeletal growth zones via bone scans as base of determination of optimal time for surgery in mandibular asymmetry

2000 ◽  
Vol 39 (05) ◽  
pp. 121-126 ◽  
Author(s):  
R. Werz ◽  
P. Reuland
Keyword(s):  
Bone Growth ◽  
Region Of Interest ◽  
Tracer Uptake ◽  
Optimal Time ◽  
Mandibular Bone ◽  
The Third ◽  
Mandibular Asymmetry ◽  
Bone Scans ◽  
Epiphyseal Plates

Summary Aim of the study was to find out wether there is a common stop of growth of mandibular bone, so that no individual determination of the optimal time for surgery in patients with asymmetric mandibular bone growth is needed. As there are no epiphyseal plates in the mandibular bone, stop of growth cannot be determined on X-ray films. Methods: Bone scans of 731 patients [687 patients (324 male, 363 female) under 39 y for exact determination of end of growth and 44 (21 male, 23 female) patients over 40 y for evaluation of nongrowth dependant differences in tracer uptake] were reviewed for the study. All the patients were examined 3 hours after injection of 99mTc-DPD. Tracer uptake was measured by region of interest technique in different points of the mandibular bone and in several epiphyseal plates of extremities. Results: Tracer uptake in different epiphyseal plates of the extremities shows strong variation with age and good correlation with reported data of bone growth and closure of the epiphyseal plates. The relative maximum of bone activity is smaller in mandibular bone than in epiphyseal plates, which show well defined peaks, ending at 15-18 years in females and at 18-21 years in males. In contrast, mandibular bone shows no well defined end of growing but a gradually reduction of bone activity which remains higher than bone activity in epiphyseal plates over several years. Conclusion: No well defined end of growth of mandibular bone exists. The optimal age for surgery of asymmetric mandibular bone growth is not before the middle of the third decade of life, bone scans performed earlier for determination of bone growth can be omitted. Bone scans performed at the middle of the third decade of life help to optimize the time of surgical intervention.

Dimensioning a recovery boiler furnace using mathematical optimization

TAPPI Journal ◽  
2015 ◽  
Vol 14 (2) ◽  
pp. 119-129 ◽  
Author(s):  
VILJAMI MAAKALA ◽  
PASI MIIKKULAINEN
Keyword(s):  
Radial Basis Function Network ◽  
High Capacity ◽  
Mathematical Optimization ◽  
Optimization Procedure ◽  
Optimization Method ◽  
Performance Criteria ◽  
Boiler Furnace ◽  
Starting Point ◽  
Recovery Boiler ◽  
Base Design

Capacities of the largest new recovery boilers are steadily rising, and there is every reason to expect this trend to continue. However, the furnace designs for these large boilers have not been optimized and, in general, are based on semiheuristic rules and experience with smaller boilers. We present a multiobjective optimization code suitable for diverse optimization tasks and use it to dimension a high-capacity recovery boiler furnace. The objective was to find the furnace dimensions (width, depth, and height) that optimize eight performance criteria while satisfying additional inequality constraints. The optimization procedure was carried out in a fully automatic manner by means of the code, which is based on a genetic algorithm optimization method and a radial basis function network surrogate model. The code was coupled with a recovery boiler furnace computational fluid dynamics model that was used to obtain performance information on the individual furnace designs considered. The optimization code found numerous furnace geometries that deliver better performance than the base design, which was taken as a starting point. We propose one of these as a better design for the high-capacity recovery boiler. In particular, the proposed design reduces the number of liquor particles landing on the walls by 37%, the average carbon monoxide (CO) content at nose level by 81%, and the regions of high CO content at nose level by 78% from the values obtained with the base design. We show that optimizing the furnace design can significantly improve recovery boiler performance.

RESULTS OF TESTICULAR BIOPSIES IN CRYPTORCHIDISM, CONCERNING OPTIMAL TIME OF TREATMENT

1965 ◽  
Vol 49 (4_Suppl) ◽  
pp. S15 ◽  
Author(s):  
W. Ch. Hecker ◽  
R. Daum ◽  
H. Hienz ◽  
O. Heiderer
Keyword(s):  
Optimal Time

Optimization Procedure for Improvement of Thermal Interruption Capability of Tandem-puffer Interrupting Chamber

2010 ◽  
Vol 130 (9) ◽  
pp. 819-825 ◽  
Author(s):  
Takeshi Shinkai ◽  
Keisuke Udagawa ◽  
Hiroshi Furuta ◽  
Akira Shimamura
Keyword(s):  
Optimization Procedure

Certain important aspects of the prevention of pathologies of labor activity in obstetric practice (Сlinical lecture)

2016 ◽  
pp. 11-18
Author(s):  
L. Nazarenko ◽  
◽  
L. Dubrova ◽  
O. Tarusмna ◽  
◽  
...  
Keyword(s):  
Key Words ◽  
Review Article ◽  
Optimal Time ◽  
Safe Method ◽  
Individual Approach ◽  
Obstetric Practice ◽  
Inflammatory Drugs ◽  
Anti Inflammatory ◽  
Time To Delivery ◽  
Ripening Of The Cervix

The question of the prevention of pathologies of the labor is currently very important, the answer to them has become the favored formation of «dominants of delivery», choice of the optimal time to delivery, effective and safe method of induction, that promotes the promptness of the female organism and ripening of the cervix, as well as the timely identification and correction of pathological prelмmмnary period. In a review article describes the modern approaches and methods of preventing the pathology of labor activity, presented by the authors ‘ own experience regarding the use of prostaglandins, non-steroidal anti-inflammatory drugs, individual approach to the management of perinatal risk. Key words: childbirth, prevention, induction, prostaglandin, non-steroidal anti-inflammatory drugs.

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