On the Solution of Blasius Boundary Layer Equations of Prandtl-Eyring Fluid Flow Past a Stretching Sheet

Hiteshkumar G Bariya; Manisha P Patel

doi:10.17485/IJST/v17i12.2055

Article

On the Solution of Blasius Boundary Layer Equations of Prandtl-Eyring Fluid Flow Past a Stretching Sheet

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Indian Journal of Science and Technology

DOI: 10.17485/IJST/v17i12.2055

Year: 2024, Volume: 17, Issue: 12, Pages: 1237-1244

Original Article

On the Solution of Blasius Boundary Layer Equations of Prandtl-Eyring Fluid Flow Past a Stretching Sheet

Hiteshkumar G Bariya¹, Manisha P Patel^2*

¹Research Scholar, Gujarat Technological University, Ahmedabad, Gujarat, India
²Assistant Professor, Sarvajanik College of Engineering & Technology, Surat, Gujarat, India

*Corresponding Author
Email: [email protected]

Received Date:12 August 2023, Accepted Date:09 February 2024, Published Date:20 March 2024

This work is licensed under a Creative Commons Attribution 4.0 International License.

Abstract

Objective: This paper investigates velocity profile for two-dimensional, incompressible, laminar forced convection flow of the fluid model for Prandtl-Eyring fluid past a stretching sheet in the presence of fluid parameters. Methods: The governing partial differential equation for the flow was transformed into non-linear ordinary differential equation by using the deductive one parameter group theoretic method and numerical solution of non-linear ordinary differential equation (ODE) is solved by MATLAB bvp4c solver. Findings: The solution of velocity profile obtained as a function of parameter and . The effect of the fluid parameter was discussed graphically. Novelty: The main goal of this article is to analyze boundary layer flow of Prandtl-Eyring fluid over a stretching surface. The conservation equations of mass, momentum are converted into non-linear ordinary differential equations along with boundary conditions using deductive one parameter group theoretic method and solved by MATLAB ODE solver. Comparisons with previously published works are made, and results show a high level of agreement. This type of research is applicable to extrusion, paper production, fiber glass production, hot rolling, condensation process, crystal growing, polymer sheets etc.

Keywords: Boundary layer, laminar flow, Deductive one parameter Group theoretic method, Absolute invariant, Stretching Sheet, Prandtl-Eyring fluid

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Copyright

© 2024 Bariya & Patel. This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited. Published By Indian Society for Education and Environment (iSee)