# 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

#### Keywords:

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.

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Author(s): Asish Mitra