Md. M. Alam¹, Mohammad Mahbubul Haque¹, Sree Pradip Kumer Sarker²*, and MH Rashid³

¹Dept. of Mathematics, Dhaka University of Engineering and Technology, Gazipur-1707, Bangladesh; ²Dhaka University of Engineering and Technology, Gazipur-1707, Bangladesh; and ³Dept. of Mathematics and Statistics, Florida Atlantic University, Boca Raton, FL33431, USA. 

*Correspondence: pradip.duet@gmail.com (Sree Pradip Kumer Sarker, PhD Researcher, Dhaka University of Engineering and Technology, Gazipur-1707, Bangladesh).

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ABSTRACT 

The study investigates laminar natural convection flow around a vertical rectangular inclined plane surface, specifically focusing on the effects of viscous and pressure stress work. Previous research primarily addressed these effects in two-dimensional natural convection flow scenarios, while this study extends the analysis to encompass three exterior situations, accounting for variations in fluid properties outside compressible boundary layers. Employing numerical methods, the study aims to predict essential flow parameters including Prandtl’s number (Pr), controlling parameter (C), and additional parameters (A, B, D, E, ∅). The investigation yields velocity profiles (F'(0), S'(0)), temperature profiles, skin frictions (F''(0), S''(0)), and heat transfer coefficients θ'(0). Numerical results are presented to illustrate the impact of different parameters on these flow characteristics. Additionally, tabulated data in Table 2 and Table 3 offer further insights into the predicted flow parameters and their variations under varying conditions.

Keywords: Natural Convection, Inclined Plane, Heat Transfer, Viscous Dissipation, Pressure Work.

Citation: Alam MM, Haque MM, Sarker SPK, and Rashid MH. (2024). Similar solutions for changing characteristics of natural convection laminar flow around a vertical rectangular inclined plane surface, Int. J. Mat. Math. Sci., 6(3), 48-61. https://doi.org/10.34104/ijmms.023.048061

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