Analysis of Fluid Flow and Heat Transfer Over a Non-isothermal Inclined Flat Plate using the Modified Merk Series of Chao and Fagbenle
Authors: Falana A
DOI Info: http://doi.org/10.5281/zenodo.6726595
ABSTRACT
The Merk-Chao-Fagbenle (MCF) procedure is employed in the calculation of fluid flow and heat transfer over a non-isothermal inclined flat plate. The series developed with this procedure and the result of the wall derivatives of temperature was used directly for the heat transfer calculations. At Prandtl number (Pr) = 0.7 and pressure gradient (?) =0, the wall derivatives of temperature functions were taken from the table provided. This table was the result derived from the calculations of temperature wall derivatives by the above procedure, are input into the modified Merk’s series of Chao and Fagbenle. The heat transfer calculations were carried out and the results compared with the earlier results of Chao and Fagbenle at a temperature exponent (a) = 0. The results showed that the local Nusselt number (Nu) for Pr=0.7, ?=-0.15, -0.10, 0.05, 0.10 for Fagbenle were 0.9921, 1.2319, 1.8968, 1.3695 respectively and for the current work, 1.041214, 1.2361, 1.8927, 1.3641 respectively showing that the results are in close agreement. Other results at various ?’s and a’s are presented in tables and graphs. The fact that these result are in close agreement confirms the accuracy of the MCF procedure.
Affiliations: Department of Mechanical Engineering, Faculty of Technology, University of Ibadan, Ibadan, Nigeria.
Keywords: Boundary Layer, Inclined Flat Plate, Merk Series, Pressure Gradient, Prandtl Number
Published date: 2022/06/30
