On comparison of exact and series solutions for thin film flow of a third‐grade fluid

Abstract

SUMMARYThe present investigation derives the exact and series solutions for steady thin film flow of a thirdgrade fluid. The series solution is constructed by a homotopy analysis method. The obtained solutions are compared and an excellent agreement between these is achieved.

Impact of temperature dependent heat source and non-linear radiative flow of third grade fluid with chemical aspects

“…No doubt there is a sizeable informations for flows of third grade fluids at present. Few representative studies in this direction can be seen by the attempts [1][2][3][4][5][6][7][8][9][10][11].…”

Second Law Analysis for Third-Grade Fluid with Variable Properties

“…For instance, Pakdemirli and Yilbas investigated the entropy generation in the flow of third-grade fluid through a pipe with constant viscosity in [3] while the temperature dependent viscosity has been investigated in [4] by using Vogel model. We refer interested readers to [5][6][7][8][9][10][11][12][13][14] for more interesting results on third-grade fluid flow. Moreover, Makinde and Aziz [15] presented the second law analysis of a pressure-driven temperature dependent fluid flow with asymmetry at the walls.…”

On flow of a fourth‐grade fluid with heat transfer

“…This is because of the occurrence of non‐Newtonian fluids in nature and their industrial value. The significant number of investigations have been carried out on such flows (for example, see recent studies 1–10 and many references therein). The non‐Newtonian fluids subject to the heat transfer aspect play a significant role in polymer processing industry, design of thrust bearings and radial diffusers, thermal recovery of oil, transpiration cooling, drag reduction and many others.…”