Extension of Blasius Newtonian Boundary Layer to Blasius Non-Newtonian Boundary Layer

Manisha Patel; Hema  Surati; M G  Timol

doi:10.15415/mjis.2021.92004

Authors

Manisha Patel Department of Mathematics, Sarvajanik College of Engineering & Technology, Surat-395001, Gujarat, India
Hema Surati Department of Mathematics, Sarvajanik College of Engineering & Technology, Surat-395001, Gujarat, India
M G Timol Department of Mathematics Veer Narmad South Gujarat University, Surat-395007, Gujarat, India

DOI:

https://doi.org/10.15415/mjis.2021.92004

Keywords:

Generalised Blasius equation, Sisko fluid model, Pradtl fluid model,, Deductive group, Non-linear ODE

Abstract

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

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