TITLE:
Analysis of Falkner-Skan Equation of an Unsteady Dusty Fluid Flow over a Horizontal Wedge
AUTHORS:
Mohammad Rafiqul Islam, Abdullah Abu Syed, Md. Alamin Sheikh, Muntasir Ahmed Tanmoy, Tithi Rani Mallick, Jyonto Sarkar
KEYWORDS:
Dusty Fluid, Horizontal Wedge, Unsteady Flow, Finite Difference Method, Falkner-Skan Equation
JOURNAL NAME:
Open Journal of Applied Sciences,
Vol.15 No.11,
November
21,
2025
ABSTRACT: This study aims to analyze the application of boundary layer theory to the Falkner-Skan equation for unsteady laminar boundary-layer flow over a horizontal wedge. The analysis is motivated by the importance of understanding the flow behavior characteristics of unsteady fluids over a horizontal wedge. The governing partial differential equations, along with the relevant boundary conditions, are solved numerically. The constant coefficients in the estimated solution are obtained using the finite difference approximation combined with a trial-and-error approach. Computational results are presented graphically for various values of the non-dimensional parameters involved in the analysis. The study investigates the effects of the fluid concentration parameter, Reynolds number, wedge angle parameter, and particle mass parameter. It is expected that the present findings will contribute to a deeper mathematical understanding of unsteady dusty fluid flow over a horizontal wedge and stimulate further research in this field.