2007
31
2
2
0
COMBINED HEAT AND MASS TRANSFER IN MHD FREE CONVECTION FROM A WEDGE WITH OHMIC HEATING AND VISCOUS DISSIPATION IN THE PRESENCE OF SUCTION OR INJECTION
2
2
The problem of combined heat and mass transfer of an electrically conducting fluid in MHDnatural convection adjacent to a vertical surface is analyzed, taking into account the effects of Ohmic heatingin the presence of suction or injection. An approximate numerical solution for the steady laminar boundarylayerflow over a wall of the wedge in the presence of species concentration and mass diffusion has beenobtained by solving the governing equations using the numerical technique. The fluid is assumed to beviscous and incompressible. Numerical calculations are carried out for different values of dimensionlessparameters and an analysis of the results obtained shows that the flow field is influenced appreciably by themagnetic effect, the buoyancy ratio between species and thermal diffusion and suction/injection at the wallsurface. Effects of these major parameters on transport behaviors are investigated methodically and typicalresults are illustrated to reveal the tendency of the solutions. Representative results are presented for thevelocity, temperature, and concentration distributions, as well as the local skinfriction coefficient and skinfriction.
1

151
162


R.
KANDASAMY
Centre for Science Studies, University of Tun Hussein Onn, Malaysia,
86400 Parit Raja, Batu Pahat Johor, Malaysia
Centre for Science Studies, University of
Malaysia
kandan_kkk@yahoo.co


I.
HASHIM
School of Mathematical Sciences, University of Kebangsaan, Malaysia,
43600 UKM Bangi Selangor, Malaysia
School of Mathematical Sciences, University
Malaysia


A. B.
KHAMIS
Centre for Science Studies, University of Tun Hussein Onn, Malaysia,
86400 Parit Raja, Batu Pahat Johor, Malaysia
Centre for Science Studies, University of
Malaysia


I.
MUHAIMIN
Centre for Science Studies, University of Tun Hussein Onn, Malaysia,
86400 Parit Raja, Batu Pahat Johor, Malaysia
Centre for Science Studies, University of
Malaysia
Buoyancy ratio
Ohmic heating
Boussinesq fluid
MHD boundary layer flow and suction/injection at the wall of the wedge
ON PROBLEMS REDUCING TO THE GOURSAT PROBLEM FOR A FOURTH ORDER EQUATION
2
2
In this paper, we investigate some problems which can be reduced to the Goursat problem for afourth order equation. Some results and theorems are given concerning the existence and uniqence for thesolution of the suggested problem.
1

163
170


A.
MAHER
Department of Mathematics, Faculty of Science, Assiut University, 71516, Egypt
Department of Mathematics, Faculty of Science,
Egypt
a_maher69@yahoo.com


YE. A.
UTKINA
Department of Differential Equations, Kazan State University,
18 Kremlyovskaya St., Kazan, 420008, Russia
Department of Differential Equations, Kazan
Russian Federation
Fourth order of partial differential equations
goursat problem
HIGH SPIN STATES IN 191OS
2
2
High spin states in the neutron rich nucleus 191Os has been populated for the first time using the82Se+192Os deepinelastic reaction at 460 MeV beam energy using the ALPI accelerators at the LaboratoryNazionali di Legnaro, Italy. High fold γγ coincidences were acquired with the 4π spectrometer GASPdetector array, consisting of 40 Comptonsuppressed, largevolume germanium detectors with an inner ballconsisting of 80 BGO crystals acting as a multiplicity filter and a totalenergy spectrometer. The newdiscovered level scheme is extended up to spin 19/2+. The observed structure is interpreted as fragments of arotational band built on single neutron configuration {11/2+ [615]} according to a Nilsson deformed shellmodel.
1

171
175


S.
MOHAMMADI
Physics Department, Payam Noor University, Mashhad 91735, I. R. of Iran
Physics Department, Payam Noor University,
Iran
mohammadi@pnu.ac.ir


ZS.
PODOLYAK
Department of Physics, University of Surrey, Guildford, GU2 7XH, UK
Department of Physics, University of Surrey,
United Kingdom
Deepinelastic Reaction
Rotational Band
High Spin States
Deformed Shell Model
Gammagamma Coincidences
ON THE HELICES IN THE GALILEAN SPACE G3
2
2
T. Ikawa obtained an ordinary differential equation for the circular helix. Recently, the helix havebeen investigated by many differential geometers such as T. Ikawa, H. Balgetir, M. Bektas, M. Ergut, N.Ekmekci and H. H. Hacısalihoglu. In this paper, making use of this author’s methods, we obtainedcharacterizations of helix for a curve with respect to the Frenet frame in 3dimensional Galilean space G3.
1

177
181


A. O.
OGRENMIS
Department of Mathematics, Firat University, 23119, Elazig, Turkey
Department of Mathematics, Firat University,
Turkey
aogrenmis@firat.edu.tr


E.
ERGUT
Department of Mathematics, Firat University, 23119, Elazig, Turkey
Department of Mathematics, Firat University,
Turkey


M.
BEKTAS
Department of Mathematics, Firat University, 23119, Elazig, Turkey
Department of Mathematics, Firat University,
Turkey
Galilean Space
Helix
DOUBLE SEQUENCE SPACES DEFINED BY ORLICZ FUNCTIONS
2
2
In this paper we introduce some new double sequence spaces using the Orlicz function andexamine some properties of the resulting sequence spaces.
1

183
188


E.
SAVAS
Istanbul Ticaret University, Department of Mathematics, Uskudar, Istanbul, Turkey
Istanbul Ticaret University, Department of
Turkey
ekremsavas@yahoo.com & esavas@iticu.edu.tr


R. F.
PATTERSON
University of North Florida, Building 11 Jacksonville, Florida 32224, USA
University of North Florida, Building 11
United States
rpatters@unf.edu
Double sequences
Pconvergent
Orlicz functions
SEQUENTIAL ESTIMATION IN A SUBCLASS OF EXPONENTIAL FAMILY UNDER WEIGHTED SQUARED ERROR LOSS
2
2
In a subclass of the scaleparameter exponential family, we consider the sequential pointestimation of a function of the scale parameter under the loss function given as the sum of the weightedsquared error loss and a linear cost. For a fully sequential sampling scheme, second order expansions areobtained for the expected sample size as well as for the regret of the procedure. The former researches onGamma and Exponential distributions can be deduced from our general results.
1

189
197


N.
NEMATOLLAHI
Department of Statistics, Faculty of Economics, Allameh Tabataba'i University, Tehran, I. R. of Iran
Department of Statistics, Faculty of Economics,
Iran
nematollahi@atu.ac.ir


M.
JAFARI JOZANI
Department of Statistics, Faculty of Economics, Allameh Tabataba'i University, Tehran, I. R. of Iran
Department of Statistics, Faculty of Economics,
Iran


N.
MAHLOOJI
Department of Statistics, Faculty of Economics, Allameh Tabataba'i University, Tehran, I. R. of Iran
Department of Statistics, Faculty of Economics,
Iran
Sequential estimation
stopping rule
regret analysis
exponential family
transformed chisquare distribution
MINIMIZING LOSS PROBABILITY IN QUEUING SYSTEMS WITH HETEROGENEOUS SERVERS
2
2
The probability of losing a customer in M/G/n/0 and GI/M/n/0 loss queuing systems withheterogeneous servers is minimized. The first system uses a queue discipline in which a customer who arriveswhen there are free servers chooses any one of them with equal probability, but is lost otherwise. Providedthat the sum of the servers rates are fixed, loss probability in this system attains minimum value when all theservice rates are equal. The second system uses queue discipline, in which a customer who enters into thesystem is assigned to the server with the lowest number. Loss probability in this system takes the minimumvalue in the case when the fastest server rule is used in which an incoming customer is served by the freeserver with the shortest mean service time. If the mean of the arrival distribution is fixed, then loss probabilityis minimized by deterministic arrival distribution
1

199
206


V.
SAGLAM
Department of Statistic, Faculty of Arts and Sciences, Ondokuz
Mayis University, Kurupelit, 55139Samsun, Turkey,
Department of Statistic, Faculty of Arts
Turkey
vsaglam@omu.edu.tr


A.
SHAHBAZOV
Department of Statistic, Faculty of Arts and Sciences, Ondokuz
Mayis University, Kurupelit, 55139Samsun, Turkey
Department of Statistic, Faculty of Arts
Turkey
Service rate
Erlang’s loss formula
heterogeneous servers
loss probability
recurrent input
exponential server
overflow distribution
STEINER FORMULA AND HOLDITCHTYPE THEOREMS FOR HOMOTHETIC LORENTZIAN MOTIONS
2
2
The present paper is concerned with the generalization of the Holditch Theorem under oneparameterhomothetic motion on Lorentzian planes. In this paper, for the homothetic Lorentzian motion, weexpressed the Steiner formula. Furthermore, we present the HolditchType Theorems.
1

207
212


S.
YUCE
Yıldız Technical University, Faculty of Arts and Science, Department of Mathematics, Esenler, 34210,
Istanbul, Turkey,
Yıldız Technical University, Faculty of Arts
Turkey
sayuce@yildiz.edu.tr


N.
KURUOGLU
University of Bahcesehir, Faculty of Arts and Science, Department of
Mathematics and Computer Sciences, Besiktas 34100, Istanbul, Turkey
University of Bahcesehir, Faculty of Arts
Turkey
Holditch Theorem
Steiner formula
lorentzian plane
homothetic motion
A BOUNDARY INTEGRAL MODEL FOR SIMULATING SPILLING BREAKERS
2
2
A boundary integral method is used to simulate spilling breakers. The bottom is also included inthe introduced closed boundary and the problem is directly solved in the physical plane. The method has beenshown to be remarkably stable, and no numerical instability has occurred in any of the calculations. Theresults reveal that both the momentum and total energy are almost constant in time during the simulationperiod. As a result, the breaking process of a spilling breaker is fairly well simulated.
1

213
217


S. A.
AZARMSA
Faculty of Marine Sciences, Tarbiat Modares University, Tehran, I. R. of Iran
Faculty of Marine Sciences, Tarbiat Modares
Iran
azarmsaa@modares.ac.ir,
Breaking waves
numerical simulation
spilling
Cauchy’s integral theorem