Analytical Solution of Lift for Thin Film Flow for Phan Thien Tanner Fluid

Abstract

The present work analyses the study of thin film flow of a steady, incompressible, non-isothermal under the influence of variable viscosity for Phan Thien Tanner fluid on a vertical belt. We have derived the basic governing non-linear differential equation as of the continuity and momentum equation. Then we have used Perturbation technique to solve resulting equation. Reynold model is used for temperature dependent viscosity. The upper convected Maxwell (UCM), linear PTT (LPTT) and quadratic PTT (QPTT) models have been solved from this considered model. Interpretation for “velocity profile, temperature distribution, volume flow rate and average velocity” has been obtained in this case. Consequence of distinct parameters on “velocity profile” and “temperature distribution” are shown graphically and therefore the comparison is also given for velocity and temperature distribution for all the special cases of PTT by using tables.