Similarity solution of second grade fluid flow over a moving cylinder

Author:

Abbas Nadeem1,Malik M. Y.2ORCID,Nadeem Sohail3,Hussain Shafiq4,El-Shafa A. S.56

Affiliation:

1. Department of Mathematics, Riphah International University, Faisalabad Campus, Faisalabad 38000, Pakistan

2. Department of Mathematics, College of Sciences, King Khalid University, Abha 61413, Saudi Arabia

3. Department of Mathematics, Quaid-i-Azam University, Islamabad 45320, Pakistan

4. Department of Computer Sciences, University of Sahiwal, Punjab, Pakistan

5. Department of Mechanical Engineering, College of Engineering, Prince Sattam bin Abdulaziz University, Alkharj 11942, Saudi Arabia

6. Department of Mechanical Power Engineering, Faculty of Engineering, Mansoura University, Egypt

Abstract

Stagnation point flow of viscoelastic second grade fluid over a stretching cylinder under the thermal slip and magnetic hydrodynamics effects are studied. The mathematical model has been developed under the assumption of non-Newtonian viscoelastic fluid flow over a stretching cylinder by means of the boundary layer approximations. The developed model further reduced through the similarity transformations and constructs the model of nonlinear ordinary differential equations. The system of nonlinear differential equations is dimensionless and solved through the numerical technique bvp5c methods. The results of the physical parameters are found and interpreted in the form of tables and graphs. The velocity shows that the graph of curves enhances away from the surface when the values material parameter [Formula: see text] increase, which means the momentum boundary layer increases for enhancing the material parameter [Formula: see text]. The temperature gradient reduced due enhancing the values of material parameter [Formula: see text] because thermal boundary layer reduced for higher values of material parameter [Formula: see text].

Funder

Deanship of Scientific Research

Publisher

World Scientific Pub Co Pte Ltd

Subject

Condensed Matter Physics,Statistical and Nonlinear Physics

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