Open AccessExtension of Blasius Newtonian Boundary Layer to Blasius Non-Newtonian Boundary Layer
Author(s) -
Manisha Patel,
Hema C. Surati,
M. G. Timol
Publication year - 2021
Publication title -
mathematical journal of interdisciplinary sciences
Language(s) - English
Resource type - Journals
eISSN - 2278-957X
pISSN - 2278-9561
DOI - 10.15415/mjis.2021.92004
Subject(s) - blasius boundary layer , boundary layer , boundary layer thickness , non newtonian fluid , generalized newtonian fluid , newtonian fluid , mechanics , ordinary differential equation , mathematics , mathematical analysis , physics , classical mechanics , thermodynamics , differential equation , viscosity , shear rate
Blasius equation is very well known and it aries in many boundary layer problems of fluid dynamics. In this present article, the Blasius boundary layer is extended by transforming the stress strain term from Newtonian to non-Newtonian. The extension of Blasius boundary layer is discussed using some non-newtonian fluid models like, Power-law model, Sisko model and Prandtl model. The Generalised governing partial differential equations for Blasius boundary layer for all above three models are transformed into the non-linear ordinary differewntial equations using the one parameter deductive group theory technique. The obtained similarity solutions are then solved numerically. The graphical presentation is also explained for the same. It concludes that velocity increases more rapidly when fluid index is moving from shear thickninhg to shear thininhg fluid.MSC 2020 No.: 76A05, 76D10, 76M99