CALCULATION OF FLUID FLOW AND HEAT TRANSFER OVER A NON-ISOTHERMAL HORIZONTAL CIRCULAR CYLINDER IN CROSS FLOW USING THE MODIFIED MERK SERIES OF CHAO AND FAGBENLE

Authors

  • A. Falana Department of Mechanical engineering, Faculty of Technology, University of Ibadan, Ibadan, Nigeria. Author

Keywords:

Prandtl number, Pressure gradient, Merk series, Horizontal Circular cylinder, Boundary layer

Abstract

The Merk-Chao-Fagbenle (MCF) method is employed in the calculation of fluid flow and heat transfer over a non-isothermal horizontal circular cylinder in cross flow. The series developed with this method and the results of the wall derivatives of temperature functions was used directly for the heat transfer calculations. At Prandtl number (Pr) = 0.7 and pressure gradient (Λ) =0, the wall derivatives of temperature functions were taken from the table provided. This table, the result derived from the calculations of temperature wall derivatives by the above procedure for the two parameters M-C-F problem, the Prandtl number(Pr) and the pressure gradient(∧)
are input into the modified Merk’s series of Chao and Fagbenle after the third parameter, the temperature parameter(????) for the non-isothermal case has been evaluated. The heat transfer calculations were carried out and the results compared with the results of Chao and Fagbenle at a temperature exponent (a) = 0. The results are in good agreement. Other results at various Λ’s and a’s are presented in tables and graphs. The close agreement of this results with the results of Chao and Fagbenle confirms the correctness of the MCF procedure. 

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Published

2022-09-01

How to Cite

CALCULATION OF FLUID FLOW AND HEAT TRANSFER OVER A NON-ISOTHERMAL HORIZONTAL CIRCULAR CYLINDER IN CROSS FLOW USING THE MODIFIED MERK SERIES OF CHAO AND FAGBENLE. (2022). The Journals of the Nigerian Association of Mathematical Physics, 64, 59–64. https://nampjournals.org.ng/index.php/home/article/view/81

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