scholarly journals LOCAL SOLVABILITY OF SOME PROBLEM WITH FREE BORDER

2017 ◽  
Vol 17 (8) ◽  
pp. 86-94
Author(s):  
N.Yu. Selivanova ◽  
M.V. Shamolin
Keyword(s):  
Single Phase ◽  
Local Solvability ◽  
Phase Problem ◽  
Concrete Event ◽  
General Method

A certain single-phase problem with free border is studied. The local solvability of such problem is proved. The more general method investigated earlier is used in concrete event in this work.

The solution of nonhomogeneous thermal problems and the stefan single-phase problem in arbitrary domains

1980 ◽  
Vol 22 (2) ◽  
pp. 259-271 ◽  
Author(s):  
O.B. Kovaljov ◽  
N.A. Larkin ◽  
W.M. Fomin ◽  
N.N. Yanenko
Keyword(s):  
Single Phase ◽  
Phase Problem

Eco-driving control of electric vehicle with battery dynamic model and multiple traffic signals

2021 ◽  
pp. 095440702110374
Author(s):  
Hafiz Muhammad Yasir Naeem ◽  
Aamer Iqbal Bhatti ◽  
Yasir Awais Butt ◽  
Qadeer Ahmed
Keyword(s):  
Life Cycle ◽  
Boundary Value Problem ◽  
Single Phase ◽  
Boundary Value ◽  
Optimization Technique ◽  
Traffic Signals ◽  
Multiple Shooting ◽  
Point Boundary ◽  
Phase Problem ◽  
Multi Phase

Limited capacity and short life cycle of a battery are the major impediments in development of practical Electric Vehicles (EVs). Eco-driving is an optimization technique through which a velocity trajectory that consumes minimum energy is advised to the driver. However, presence of traffic signals to control large traffic network degrades the performance of eco-driving; as applying brakes to stop and then maximum re-acceleration to restart a trip consumes lot of energy. Eco-driving problem with multiple traffic signals and static model of battery has been proposed as Two Point Boundary Value Problem (TPBVP). TPBVP fails to solve multi-phase problem as a single phase due to discontinuity of the co-states at the junction, that is, start of a new phase. This paper investigates an optimal solution with both EV and battery dynamics in the presence of multiple traffic signals as Multi Point Boundary Value Problem (MPBVP) using multiple shooting technique. Traffic signals come at some intermediate points of a trip. MPBVP ensures continuity at the junction to solve the multi-phase problem as a single phase through inter dependencies between each phases. Goal of this work is not only to solve constrained eco-driving problem with traffic signals but also include charging and discharging limits on battery that indirectly improves battery’s life cycle. Results indicate that EV has crossed all the traffic signals during their green duration without applying brakes with also satisfying all the other constraints and continuity condition. Moreover, it can be seen that energy consumption using MPBVP is also marginally lesser as compared to TPBVP.

Simulations of the Effects of Solid Particles on the Flow Instability in Detonative Combustion

2012 ◽  
Author(s):  
Mina R. Mankbadi ◽  
S. Balachandar
Keyword(s):  
High Pressure ◽  
Single Phase ◽  
Flow Instability ◽  
Combustion Process ◽  
Solid Particles ◽  
Phase Problem ◽  
Material Interfaces ◽  
And Control ◽  
Spherical Shock ◽  
Primary Shock

We consider here the flow instability that evolves during the spontaneous release of a high pressure gas mixed with small solid particles in a spherical shock tube representing a detonative combustion. Upon the release of the particle-laden high pressure gas contained in the small sphere, a primary shock and a secondary shock are formed. Two material interfaces develop between the two shocks: one between the gas-gas, as in the classical single-phase problem. The second one is between the pure gas and the mixture of gas and solid particles. Because of the density discontinuity, Rayleigh-Taylor-type instabilities may develop for both surfaces, which are studied herein using a high-order numerical scheme. The interaction mechanisms involved can influence the instability and control the efficiency of the combustion process.

scholarly journals GENERAL CALCULATION OF WINDING FACTOR FOR MULTI-PHASE/-LAYER ELECTRICAL MACHINES IRRESPECTIVE OF POLES NUMBER

2019 ◽  
Vol 59 (2) ◽  
pp. 153-161
Author(s):  
Daoud Ouamara ◽  
Frédéric Dubas ◽  
Sid Ali Randi ◽  
Mohamed Nadjib Benallal ◽  
Christophe Espanet
Keyword(s):  
Single Phase ◽  
Matrix Representation ◽  
Electrical Machines ◽  
Phase Layer ◽  
Rotor Design ◽  
The Matrix ◽  
New Feature ◽  
Multi Phase ◽  
Winding Factor ◽  
General Method

In this paper, a method to calculate the winding factor by only considering stator parameters without the rotor ones is developed. This is interesting because it allows the separation of the stator and rotor design, unlike the existing methods in the literature. A general method based on the matrix representation of a winding is presented. This approach requires the knowledge of four parameters : i) slots number, ii) phases number, iii) layers number, and iv) single-phase spatial distribution. A new feature of the multi-layer windings is introduced, it is called false-zero windings, which is divided into two categories: i) α-windings (i.e., odd false-zero windings), and ii) β-windings (i.e., even false-zero windings). The windings having no false-zero are categorized as γ-windings. The calculations are applied for single and multi-phase/-layer windings. The results of the comparison are satisfactory. The code used for the calculation is given in Appendix.

Simulation of single-phase induction motor by a general method coupling field and circuit equations

1995 ◽  
Vol 31 (3) ◽  
pp. 1908-1911 ◽  
Author(s):  
N. Sadowski ◽  
R. Carlson ◽  
S.R. Arruda ◽  
C.A. da Silva ◽  
M. Lajoie-Mazenc
Keyword(s):  
Induction Motor ◽  
Single Phase ◽  
Coupling Field ◽  
General Method

Influence of Heat Treatments on Microstructures in an Fe-Co-V Alloy

1974 ◽  
Vol 32 ◽  
pp. 512-513
Author(s):  
S. Mahajan ◽  
M. R. Pinnel ◽  
J. E. Bennett
Keyword(s):  
Single Phase ◽  
Alloy Composition ◽  
Supersaturated Solid Solution ◽  
Cell Formation ◽  
Heat Treatments ◽  
Air Cooling ◽  
Iced Brine ◽  
Transmission Electron ◽  
The Matrix ◽  
Bcc Structure

The microstructural changes in an Fe-Co-V alloy (composition by wt.%: 2.97 V, 48.70 Co, 47.34 Fe and balance impurities, such as C, P and Ni) resulting from different heat treatments have been evaluated by optical metallography and transmission electron microscopy. Results indicate that, on air cooling or quenching into iced-brine from the high temperature single phase ϒ (fcc) field, vanadium can be retained in a supersaturated solid solution (α2) which has bcc structure. For the range of cooling rates employed, a portion of the material appears to undergo the γ-α2 transformation massively and the remainder martensitically. Figure 1 shows dislocation topology in a region that may have transformed martensitically. Dislocations are homogeneously distributed throughout the matrix, and there is no evidence for cell formation. The majority of the dislocations project along the projections of <111> vectors onto the (111) plane, implying that they are predominantly of screw character.

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