Unsteady Reversed Stagnation-Point Flow over a Flat Plate

TL;DR

This paper revisits the reversed stagnation-point flow over a flat plate, emphasizing the importance of viscous effects and deriving a new analytical similarity solution for the flow.

Contribution

It provides a revised analysis of reversed stagnation-point flow, including a fully analytical similarity solution that accounts for viscous effects neglected in earlier studies.

Findings

Viscous effects are significant in reversed stagnation-point flow.

A new analytical similarity solution is derived.

The flow behavior differs from previous asymptotic solutions.

Abstract

This paper investigates the nature of the development of two-dimensional laminar flow of an incompressible fluid at the reversed stagnation-point. ". In this study, we revisit the problem of reversed stagnation-point flow over a flat plate. Proudman and Johnson (1962) first studied the flow and obtained an asymptotic solution by neglecting the viscous terms. This is no true in neglecting the viscous terms within the total flow field. In particular it is pointed out that for a plate impulsively accelerated from rest to a constant velocity V0 that a similarity solution to the self-similar ODE is obtained which is noteworthy completely analytical.