Journal Vol – 10 No -1,October2015

Abstract:

It is proposed to introduce some simple criteria regarding the existence of unique solutions of a class of nonlinear functional equations in supermetric and metric spaces followed by suitable examples. The results obtained may be of much useful to many physical problems arising nonlinear equations.

Keywords:

Supermetric space,metric space,functional equation,Hammerstein equation. ,

Refference:

1) Sen, R. N. : Approximate Iterative Process in a Supermetric Space. Bull Cal. Math Soc., Vol. 63 (1971) p. 121-123.
2) Sen, R. N. & Mukherjee, S. : On Iterative Solution of Nonlinear Functional
Equations. Int J. Math. & Math. Sc. Vol. 6 (1983) p. 161-170
3) Sen, R. N. & Mukherjee, S. : A Note on a Unique Solvability of a Class of Nonlinear Equations. Int J. Math. & Math. Sc. Vol. 11 (1988) p. 201-204.
4) Collatz, L. : Functional Analysis and Numerical Mathematics. Academic Press, New York (1966).
5) Kannan, R. : Some Results on Fixed Points. Bull Cal. Math Soc., Vol 60 (1968)
p. 71-76.

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Abstract:

With ever increasing energy consumption, rising public awareness of environmentalprotection, steady progress inpower deregulation and revolution of environment,transmission line obstruction is quite regular. For maximum benefit and improvement ofobstruction, proper position of distributed generators is very necessary. This proposed workidentifies the optimum location to connect distribution energy resources in distributednetwork to minimize the total reactive power loss. Here use a simple conventional iterativesearch technique by matlab software. Gauss-Seidel method of load flow study is implementedon IEEE 6bus and IEEE 30 bus systems.

Keywords:

Distributedgeneration(DG),Gauss-Seidel(GS),Objective function(OF),

Refference:

I.W. El-Khattam, M.M.A. Salama.Distributed generation technologies, definitions andbenefitsDepartment of Electrical and Computer Engineering,.[ Received 15 August 2002;accepted 14 January 2004]

II.N.Hatziargyriou*,G. Kariniotakis N.Jenkins,J. PecasLopes,J.Oyarzabal,F. Kanellos, X.LePivert,N. JayawarnaN. Gil, C. MoreiraZ. Larrabe.Modelling of Micro-Sources forSecurity Studies.

III.D.H. Popovic ́a,*,1, J.A. Greatbanksb,1, M. Begovic ́c, A. Pregeljd,2. School of Electricaland Computer Engineering, Placement of distributed generators and reclosers for distributionnetwork security and reliability. Received 19 August 2003; revised 25 November 2004;accepted 2 February 2005

IV.SudiptaGhosh *, S.P. Ghoshal, SaradinduGhosh.Optimal sizing and placement ofdistributed generation in a network system. Department of Electrical Engineering, NationalInstitute of Technology, Received 28 March 2009 Received in revised form 22 December2009 Accepted 28 January 2010.

V.S.G.BharathiDasan,S.SelviRamalakshmiDr.R.P.Kumudinidevi.Department of EEE.Optimal Siting and Sizing of Hybrid Distributed Generation using EP. 2009 ThirdInternational Conference on Power Systems, Kharagpur, INDIA December 27-29.

VI.A.Kazemi, and M.Sadeghi. A Load Flow Based Method For Optimal Location OfDispersed Generation Units.

VII.G.N. Koutroumpezis, A.S. SafigianniOptimum allocation of the maximum possibledistributed generation penetration in a distribution network.Electrical and ComputerEngineering Department, Received 9 November 2009 Received inrevised form 21 April 2010Accepted 8 June 2010 Available online 15 July 2010.

VIII.Hasham Khan, Mohammad Ahmad Choudhry Implementation of Distributed Generation(IDG) algorithm for performance enhancement of distribution feeder under extreme loadgrowth.Department of Electrical Engineering, University of Engineering and Technology,Taxila, Pakistan,[ Received 19 September 2007 Received in revised form 27 October 2009Accepted 23 February 2010.]

IX.H. Kakigano, Y. Miura and T. Ise,Member, IEEE,T. Momoseand H. Hayakawa,Non-memberFundamental Characteristics of DC Microgrid for Residential Houses withCogeneration System in Each House.

X.D. Feng Z. Chen ,The Institute of Energy Engineering, Aalborg University, Denmark,System Control of Power Electronics Interfaced Distribution Generation Units.

XI.KarthickThyagarajanAsadDavariAliFeliachi ECE Dept, WW Tech ECE Dept, WWTechMontgomery,WV-25136Montgomery,WV-25136 Morgantown,Load Sharing Controlin Distributed Generation System.

XII.H. Kakigano, Y. Miura and T. Ise,Member, IEEE,Configuration andControl of a DC MicrogridforResidential Houses.

XIII.Nikhil K. Ardeshna,Member,IEEE, and Badrul H. Chowdhury,Senior Member, IEEE,Optimizing Micro-grid Operations in thePresence of Wind Generation.

XIV.Caisheng Wang,Modeling and Control of HybrideWind/Photovoltaic/Full CellDistributed Generation Systems.

XV.AtefehPourshafie, Mohsen. Saniei, S. S. Mortazavi, and A. Saeedian, OptimalCompensation of Reactive Power in theRestructured Distribution Network.

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Abstract:

This paper is concerned with the flow of two immiscible visco-elastic fluidsthrough a rectangular channel. The flow takes place due to a time-variantpressuregradient whichis transient in character. The visco-elastic fluids are of Oldroyd type. Infinding solutions of the problem variable separation technique appropriate to theboundary conditions and pressure gradient is applied. In the bulk of the paper, someinterestingresults such as interface velocity, flux, skin-friction and mean velocity arepresented.

Keywords:

,

Refference:

I.BAGCHI, K. C.–Rev. Roum. Sci. Tech. Mech. Appl., 11, 3, 603, (1966).

II.KAPUR, J. N. and SUKHLA, J. B.–ZAMM, 44, 6, 268, (1962).

III.DAS, K. K.–Ind. Jour. Theo. Phys., 37, 2, 141, (1989).

IV.SENGUPTA, P. R. and RAY MAHAPATRA, J.–Rev. Roum. Sci. Tech. Mech.Appl., 16, 5,1023, (1971).

V.OLDROYD, J. G.–Proc. Roy. Soc., A 200, 523, (1950)

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Abstract:

A numerical algorithm is presented for studyinglaminar convection flow andheat transferat the lower stagnation point of a solid sphere.By means of similaritytransformation, the original nonlinear partial differential equations of flow aretransformed to a pair of nonlinear ordinary differential equations. Subsequently theyare reduced to a first order system and integrated using Newton Raphson andadaptiveRunge-Kutta methods.The computer codes are developedfor this numerical analysis inMatlab environment. Velocity and temperature profiles for various values of Prandtlnumber and at a fixed conjugate parameter are illustrated graphically. The results ofthe present simulation are then compared with previousresults available in literaturewith good agreement.

Keywords:

Free Convection,Fluid Flow,Heat Transfer,Matlab,Numerical Simulation,Solid Sphere,Stagnant Point,

Refference:

I.Chen T and Mucoglu A 1977 Int. J. Heat. Mass. Transfer20867.

II.Nazar R, Amin N, Grosan T and Pop I 2002a Int.Comm. Heat. Mass. Transfer29377.

III.Nazar R, Amin N, Grosan T and Pop I 2002b Int.Comm. Heat. Mass. Transfer291129.

IV.Nazar R, Amin N and Pop I 2002c Arab. J. Sci. Eng27117.

V.Cheng C Y 2008 Int.Comm. Heat. Mass. Transfer35750.

VI.Mitra A, Numerical simulation on Unsteady Heat Transfer of a Sphere, InternationalJournal on Emerging Technology and Applied Sciences, 03, 2014, 355-365.

VII.Mitra A, Numerical Simulation on Laminar Free-Convection Flow and HeatTransfer Over an Isothermal Vertical Plate,International Journal of Research inEngineering & Technology, 04, 2015, 488-494.

VIII.Mitra A, Numerical simulation on laminar convection flow and heat transfer over anon-isothermal horizontal plate,International Journal of Research in Engineering &Technology,accepted.

IX.Salleh M Z, Nazar R and Pop I 2010 Acta Applic Math 112 263.

X.AlkasasbehH T, Salleh M Z, Tahar R M, Nazar R,Numerical Solutions of FreeConvection Boundary Layer Flow on a Solid Sphere with Convective BoundaryConditions, Journal of Physics: Conference Series 495 (2014).

XII.Cebeci T and Bradshaw P 1984 Physical and computational aspects of convectiveheat transfer Springer, New York.

XIII.Na T Y 1979 Computational methods in engineering boundary valueproblem New York: Academic Press.

XIII.. I. Pop, D.B. Ingham, Convective Heat Transfer: Mathematical and Computational Modelling of Viscous Fluids and Porous Media, Oxford, Pergamon, 2001.

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Abstract:

The sole aim of this paper is to calculate present value of periodical cash flows(fixed time interval)from an investmentconsideringthe effect of inflation,where cashflowis fixed (anordinaryannuity),orin a constant growth, or in a random nature.Incommon practice the discountingrateis equal to the expected rate of return of theinvestorfor calculating present value, but in reality this is not equal.The reason is thatthe expected rate of return is affected by the change of price level, that’s inflation,andthat’s whythisdirectlyaffectsthe purchasing power of moneyof the investor.Toprevent the purchasing power from the inflation, some adjustment is required forcalculating actual discounting rate. This paper providesthemethod of calculatinginflation adjusted discounting rateandc alculating adjusted present value of future cashflows. It also providesthecorrect investment decisions from various investment opportunities.

Keywords:

Present value of cash flows,Expected rate ofreturn ,Value of money,Inflation,Purchasingpower of money, Discounting rate, Annuity,

Refference:

I.Taylor, RichardW., “Future Value of a Growing Annuity: A Note.”Journal ofFinancialEducation (Fall 1986), 17-21.

II.Albert L. Auxier and John M. Wachowicz, Jr.Associate Professor and Professor, TheUniversity of Tennessee-“GROWING ANNUITIES”

III.G. A.Hawawini and A. Vora, The History of Interest Approximations,Arno Press,USA, 1980, ISBN 0-405-13480-0

IV.C. S. Park, R. Pelot, K. C. Porteous, M.J. Zuo, ContemporaryEngineeringEconomics, Addison Wesley Longman, Toronto, 2001,ISBN 0-201-61390-5

V.Myron Gordon, The Investment,Financing, and Valuation of the Corporation,Homewood, Ill.: Irwin,1962.

VI.Chicago Board of Trade, “Interest Rate Futuresfor Institutional Investors”–Chicago: 1987

VII.Figlewski, S., “Hedging with Financial Futures for Institutional Investors.”Cambridge, Mass.: Ballinger, 1986.

VIII.Gay, G. D. R. W. Kolb, and R. Chiang, “Interest Rate Hedging: An Empirical Test ofAlternative Strategies,”–Journal of Financial Research, 6 (Fall 1983), 187-97.

IX.Kolb, R. W., “Interest Rate Futures: A Comprehensive Introduction.”–Richmond,Va.: R. F. Dame, 1982.

X.Kolb, R. W., and R. Chiang, “Improving HedgingPerformance Using Interest RateFutures,”–Financial Management, 10 (Autumn 1981), 72-79.

XI.Veit, W. T., and W. W. Reiff, “Commercial Banks and Interest Rate Futures: AHedging Survey,”–Journal of Futures Markets, 3 (1983), 283-93.

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