Journal Vol – 10 No -2, January 2016

NUMERICAL SIMULATION ON LAMINAR FREE-CONVECTION FLOW AND HEAT TRANSFER OVER A VERTICAL PLATE WITH CONSTANT HEAT FLUX

Asish Mitra

DOI NO:

https://doi.org/10.26782/jmcms.2016.01.00001

Abstract:

In the present numerical study,laminar free-convection flow and heat transfer over avertical plate with constant heat flux is presented. By means of similarity transformation, the original nonlinear coupled partial differential equations of flow are transformed to a pair of simultaneous nonlinear ordinary differential equations. Then, they are reduced to first order system. Finally, Newton-Raphson method and adaptive Runge-Kutta methodare use dfortheir integration.The computer codes are developed for this numerical analysis in Matlab environment. Velocity and temperature profiles for various Prandtl number are illustrated graphically. Flow and heat transfer parameters are derived as functionsof  Prandtl  numberalone. The results of the present simulation are then compared with experimental data published in literature and find a good agreement.

Keywords:

Constant Heat Flux,Free Convection,Heat Transfer,Matlab,Numerical Simulation,Vertical Plate,

Refference:

I. Sparrow, E. M., Gregg, J. L., “Similar Solutions for Laminar Free Convection from aNon isothermal Vertical Plate”,Trans. ASME, Journal of Heat Transfer,80, pp. 379387, 1958.

II. Pohlhausen, E., “Der Wنrmeaustausch zwischen festen Kِrpern und Flüssigkeiten mitKleiner Reibung und kleiner Wنrmeleitung“,Z. Angew. Math.Mech.1, 235-252,1921.

III. Dotson, J. P., “Heat Transfer from a Vertical Plate by Free Convection” MS Thesis,Purdue University, W. Lafayette. Ind., May 1954.

IV. Goldstien R. J., Eckert E. R. G., “The Steady and Transient Free Convection BoundaryLayerson a Uniformly Heated Vertical Plate,” Int. Journal of Heat and Mass Transfer,1, 208 218, 1960.

V. Fujii T., Fuji M., “The Dependence of Local Nusselt number on Prandtl number incase of Free Convection along a VerticalSurface with Uniform Heat Flux, ”Int.Journal ofHeat andMass Transfer, 19, 121-122, 1976.

VI. Pittman J. F. T., Richardson J. F., Sherrad C. P., “An Experimental Study of HeatTransfer by Laminar Natural Convection between an Electrically-Heated Vertical Plateand both Newtonian and Non-Newtonian Fluids,” Int. Journal of Heat and MassTransfer, 42, 657-671, 1999.

VII. Aydin O., Guessous L., “Fundamental Correlations for Laminar and Turbulent FreeConvection from an uniformly Heated Vertical Plate,”Int. Journal of Heat and MassTransfer, 44, 4605-4611, 2001.

VIII. Bejan, A.,Heat Transfer, John Wiley, New York, 1993.

IX. Incropera, F. P., DeWitt D. P.,Introduction to Heat Transfer, Fourth edition, JohnWiley, New York, 2002.

X. Çengel, Y. A.,Heat Transfer,Second edition, McGraw–Hill, New York, 2003.

XI. Lienhard IV, J. H., Lienhard V, J. H.,A Heat Transfer Textbook, Phlogiston Press,Cambridge, MA, 2003.

XII. Nellis, G., Klein, S.,Heat Transfer, Cambridge UniversityPress, London, UK, 2008.

A COMPARATIVE STUDY OF FORECASTING AGRICULTURAL TIME SERIES: SOME SELECTED FOOD GRAIN IN BANGLADESH

Authors:

Md. Salauddin Khan, Masudul Islam, Md. Rasel Kabir, Lasker Ershad Ali

DOI NO:

https://doi.org/10.26782/jmcms.2016.01.00002

Abstract:

Bangladesh bureau of statistics (BBS) publish a statistical year book in every year where comprehensive and systematic summary of basic statistical information of Bangladesh covering wide range of fields. BBS also forecast different sectors such aseconomics, weather, agriculture etc in different time in this country. In this paper we mainly concern on the wheat, rice and maize food grain which plays a vital role in economic development of Bangladesh. The main purposes of this paper as to compare which techniques are better BBS’s or statistical techniques for forecasting. There are different forecasting models are available in statistics among these we used Auto regressive (AR), Moving Average(MA), Auto regressive Moving Average (ARMA)and Auto regressive Integrated Moving Average (ARIMA) models. For this reason, we clarify the stationary and non-stationary series by graphical method. On the basis of that,the stationary model is being set up asthe forecasting purpose. After analyze, we compare the forecasting result of our selective foodgrain and find that for ecasted valu esusing statistical techniques are nearest to the actual values compare to BBS’s project edvalues.

Keywords:

ARIMA,ARMA,Forecast,Foodgrain,

Refference:

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EXPANSION OF A SPHERICAL CAVITY AT THE CENTRE OF A NON-HOMOGENEOUS SPHERE OF DUCTILE METAL WITH EFFECT OF WORK-HARDENING UNDER INTERNAL AND EXTERNAL PRESSURES

L.K. Roy

DOI NO:

https://doi.org/10.26782/jmcms.2016.01.00003

Abstract:

The aim of this paper is to investigate the distribution of stresses due to expansion of a spherical cavity at the centre of a non-homogeneous  metallic sphere of finite radius for an elasto-plastic solid with effect of work-hardening under an increasing internal pressure, the external pressure remaining constant. The non-homogenecity of the elastic material is characterised by supposing that the Lame constrants very exponentially as the function of radial distance. The case of ideal plastic solid has also been deduced from this general case.

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p-80, Prof. B. Sen, D.Sc., F.N.I., 70th’Birth Anniversary Volume
7. L. K. Roy (1992), Proc. Nat. Acad. Sci. India, 62(A), III p-445

NUMERICAL SIMULATION ON LAMINAR CONVECTION FLOW AND HEAT TRANSFER OVER AN ISOTHERMAL HORIZONTAL PLATE

Asish Mitra

DOI NO:

https://doi.org/10.26782/jmcms.2016.01.00004

Abstract:

A numerical algorithm is presented for studyinglaminar convection flow andheat transfer over an isothermal horizontal plate. By means of similarity transformation,the original nonlinear coupled partial differential equations of flow are transformed to apair of simultaneous nonlinear ordinary differential equations. Subsequently they arereduced to a first order system and integrated using Newton RaphsonandadaptiveRunge-Kutta methods.The computer codes are developed for this numerical analysis inMatlab environment. Velocity, and temperature profiles for various Prandtl number areillustrated graphically. Flow, and heat transfer parameters are derivedas functions of Prandtl number alone. The results of the present simulation are then compared withexperimental data in literature with good agreement.

Keywords:

Free Convection, Heat Transfer ,Isothermal Horizontal Plate, Matlab,Numerical Simulation,

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VI.Sachdev, P. L., “Self-Similarity and Beyond: Exact Solutions of NonlinearProblems”, CRC Press, Boca Ratton, Fla, 2000

VII.Incropera, F.P. and DeWitt D.P.,Introduction to Heat Transfer, Fourthedition, JohnWiley, New York, 2002.

VIII.Çengel, Y.A.,Heat Transfer,Second edition, McGraw–Hill, New York, 2003.

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X.Nellis, G. and Klein, S.,Heat Transfer, Cambridge University Press, London, UK,2008.

XI.Mitra A., “Numerical Simulation on Laminar Free-Convection Flow and HeatTransfer OveranIsothermal Vertical Plate,”International Journal of Research inEngineering & Technology, 04, 2015, pp 488-494.

XII.Leipmann, H. W., “Investigation on Laminar Boundary-Layer Stabilty andTransition on Carved Boundaries,“ NACAWartime Report W107 (ACR3H30),1943 [see also NACA Technical Memo. 1196 (1947) and NACA Report 890 (1947)].

A CREDIT POLICY APPROACH OF AN INVENTORY MODEL FOR DETERIORATING ITEM WITH PRICE AND TIME DEPENDENT DEMAND

Authors:

Md. Abdul Hakim, Mohammad Anwar Hossen, M Sharif Uddin

DOI NO:

https://doi.org/10.26782/jmcms.2016.01.00005

Abstract:

In this paper, we have developed an inventory model for deteriorating items withprice and time dependentdemand considering inflation effect on the system. Shortages ifany are allowed and partially backlogged with a variable rate dependent on the durationof waiting time up to the arrival of next lot. The corresponding problem has beenformulated as a nonlinear constrained optimization problem, all the cost parameters arecrisp valued and solved. A numerical example has been considered to illustrate the modeland the significant features of the results are discussed. Finally, based on these examples,a sensitivity analyses have been studied by taking one parameter at a time keeping theother parameters as same.

Keywords:

Inventory,deterioration,partially backlogged shortages ,permissible delay in payment,

Refference:

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VII.P.L. Abad, C.K.Jaggi, A joint approach for setting unit price and the length of thecredit period for a seller when end demand is price sensitive, Int. J. Prod. Econ. 83(2003) 115–122.

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IX.Y.F. Huang, An inventory model under two levels of trade credit and limitedstorage space derived without derivatives, Appl. Math. Model. 30 (2006) 418–436.

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A NEW APPROACH TO IMPROVE THE PERFORMANCE OF POSITION CONTROL OF DC SERVO MOTOR BY USING FUZZY LOGIC CONTROLLER

Authors:

Abhishek Kumar Kashyap, Binanda Kishore Mondal, Souvik Chatterjeeand, Sudipta Ghosh

DOI NO:

https://doi.org/10.26782/jmcms.2016.01.00006

Abstract:

The position control system is one of the interesting term in control systemengineering. Now a days several control system algorithm have been applied in thatapplication. PID controller is a well known controller and widely used infeedbackcontrol in industrial processes. For position control system sometime pid controller is notaccurate for this application because of non linear properties. Therefore e in thisresearch the fuzzy logic controller is proposed to overcome the problemof pid controller.Fuzzy logic controller has a ability to overcome the problem of pid controller. Fuzzylogic controller has ability to control the non linear systems also because the algorithmused is concentrated by emulating the expert and implementedin language based on theexperimental result , the fuzzy logic controller designed, is able to improve theperformance of the position control system compare to the pid controller, in terms of risetime (Tr) is 50%, settling time Ts is 80% and maximum overshoot (M%) is 98%, and thatcan be reduced.

Keywords:

uzzy logic controller,PID controller, position control,DC servo motor,

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