Effects of Transverse Force on Dusty Fluid Flow over a Linear Stretching Sheet

TL;DR

This paper numerically investigates how transverse force influences the flow and heat transfer of a dusty fluid over a stretching sheet, revealing that transverse force reduces particle velocity and validating results with existing literature.

Contribution

It introduces a numerical approach to analyze the effects of transverse force on dusty fluid flow over a stretching sheet, incorporating similarity transformation and MATLAB's BVP4C.

Findings

Transverse force decreases particle velocity.

Flow parameters like Prandtl and Eckert numbers affect flow behavior.

Results align well with existing studies.

Abstract

This research presents a numerical investigation of the flow and heat transfer of a steady dusty flow over a linear horizontal stretching sheet. Transverse force effects have been taken into account. The flow problems formulation comprises of highly nonlinear PDEs that have been transformed into systems of ODEs by using similarity transformation. Then the ODEs has been solved numerically by using Shooting technique followed by Runge-Kutta 4th order method that is incorporated in BVP4C tool of the MATLAB software. The effects various flow parameters, such as the Prandtl number, Eckert number and transverse force on the flow geometry has been investigated. The overall findings are displayed in graphs and tables, and it is discovered that the transverse force reduces the velocity of the particle phase in the flow. Our results has been validated with existing literatures and found agrees with very good way.