Authors:
Asish Mitra,DOI NO:
https://doi.org/10.26782/jmcms.2016.01.00001Keywords:
Constant Heat Flux,Free Convection,Heat Transfer,Matlab,Numerical Simulation,Vertical Plate,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.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.
Author(s): Asish Mitra View Download