Authors:
Asish Mitra,DOI NO:
https://doi.org/10.26782/jmcms.2016.01.00004Keywords:
Free Convection, Heat Transfer ,Isothermal Horizontal Plate, Matlab,Numerical Simulation,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.Refference:
I.Blasius, H., “Grenzschichten in Flussikeiten mitkleiner Reibung”, Z. Angew,Math.Phys., vol. 56, pp. 1-37, 1908 [English translation in NACA Technical Memo. 1256].
II.Meksyn, D., “New Methods in Laminar Boundary Layer Theory”, Pergamon,London, 1961.
III.Rosenhead, L. (ED), “Laminar Boundary Layers”, Oxford Univ. Press, London, 1963.
IV.Hansen, A. G., “Similarity Analysis of BoundaryValue Problems in Engineering”,Prentice-Hall, Englewood Cliffs, N. J., 1964.
V.Bejan, A.,Heat Transfer, John Wiley, New York, 1993.
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.
IX.Lienhard IV, J.H. and Lienhard V, J.H.,A Heat Transfer Textbook, Phlogiston Press,Cambridge, MA, 2003.
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)].
Author(s): Asish Mitra View Download