Effect of temperature-dependent viscosity on entropy generation in transient viscoelastic polymeric fluid flow from an isothermal vertical plate

Janardhana Reddy, G; Kumar, M; Beg, OA

Abstract

A numerical investigation of the viscosity variation effect upon entropy generation in time-dependent viscoelastic polymeric fluid flow and natural convection from a semi-infinite vertical plate is described. The Reiner-Rivlin second order differential model is utilized which can predict normal stress differences in dilute polymers. The conservation equations for heat, momentum and mass are normalized with appropriate transformations and the resulting unsteady nonlinear coupled partial differential equations are elucidated with the well-organized unconditionally stable implicit Crank-Nicolson finite difference method subject to suitable initial and boundary conditions. Average values of wall shear stress and Nusselt number, second-grade fluid flow variables conferred for distinct values of physical parameters. Numerical solutions are presented to examine the entropy generation and Bejan number along with their contours. The outcomes show that entropy generation parameter and Bejan number both increase with increasing values of group parameter and Grashof number. The present study finds applications in geothermal engineering, petroleum recovery, oil extraction and thermal insulation, etc.

Citation

Janardhana Reddy, G., Kumar, M., & Beg, O. (2018). Effect of temperature-dependent viscosity on entropy generation in transient viscoelastic polymeric fluid flow from an isothermal vertical plate. Physica A: Statistical Mechanics and its Applications, 510, 426-445. https://doi.org/10.1016/j.physa.2018.06.065

• Journal Article Type: Article
• Acceptance Date: Jun 17, 2018
• Online Publication Date: Jun 25, 2018
• Publication Date: Jun 25, 2018
• Deposit Date: Jun 18, 2018
• Publicly Available Date: Jun 25, 2019
• Journal: Physica A: Statistical Mechanics and its Applications
• Print ISSN: 0378-4371
• Publisher: Elsevier
• Volume: 510
• Pages: 426-445
• DOI: https://doi.org/10.1016/j.physa.2018.06.065
• Publisher URL: https://doi.org/10.1016/j.physa.2018.06.065
• Related Public URLs: https://www.journals.elsevier.com/physica-a-statistical-mechanics-and-its-applications/
• Additional Information: Funders : Central University of Karnataka, India; Projects : Viscoelastic thermofluid dynamics modelling; Grant Number: DST-INSPIRE (Code No. IF160028)