The flow and heat transfer in a viscous fluid over an unsteady stretching surface

TL;DR

This paper investigates the flow and heat transfer of a viscous fluid over an unsteady stretching surface, using similarity transformation and the Optimal Homotopy Asymptotic Method to solve the governing equations.

Contribution

It introduces the application of OHAM to analyze unsteady flow and heat transfer over a stretching sheet, providing a new approximate solution approach.

Findings

The method effectively solves the transformed equations.

Results show the influence of unsteady stretching on flow and heat transfer.

The approach is flexible and easy to implement.

Abstract

In this paper we have studied the flow and heat transfer in a viscous fluid by a horizontal sheet. The stretching rate and temperature of the sheet vary with time. The governing equations for momentum and thermal energy are reduced to ordinary differential equations by means of similarity transformation. These equations are solved approximately by means of the Optimal Homotopy Asymptotic Method (OHAM) which provides us with a convenient way to control the convergence of approximation solutions and adjust convergence rigorous when necessary. Some examples are given and the results obtained reveal that the proposed method is effective and easy to use.