Numerical Computation for Modified Cross Model Fluid Flow Around the Circular Cylinder with Symmetric Trapezoidal Cavities

Rashid Mahmood; Imran Siddique; Ilyas Khan; Mohamed Badran; Sadok Mehrez; Sadok Mehrez; Afraz Hussain Majeed; Sehrish Naaz

doi:10.3389/fphy.2022.912213

Frontiers in Physics (Jul 2022)

Numerical Computation for Modified Cross Model Fluid Flow Around the Circular Cylinder with Symmetric Trapezoidal Cavities

Rashid Mahmood,
Imran Siddique,
Ilyas Khan,
Mohamed Badran,
Sadok Mehrez,
Sadok Mehrez,
Afraz Hussain Majeed,
Sehrish Naaz

Affiliations

Rashid Mahmood: Department of Mathematics, Air University, Islamabad, Pakistan
Imran Siddique: Department of Mathematics, University of Management and Technology, Lahore, Pakistan
Ilyas Khan: Department of Mathematics, College of Science Al-Zulfi, Majmaah University, Al-Majma’ah, Saudi Arabia
Mohamed Badran: Department of Mechanical Engineering, Faculty of Engineering & Technology, Future University in Egypt, New Cairo, Egypt
Sadok Mehrez: Department of Mechanical Engineering, College of Engineering at Al Kharj, Prince Sattam Bin Abdulaziz University, Al-Kharj, Saudi Arabia
Sadok Mehrez: Department of Mechanical Engineering, University of Tunis El Manar, Tunis, Tunisia
Afraz Hussain Majeed: Department of Mathematics, Air University, Islamabad, Pakistan
Sehrish Naaz: Department of Mathematics, Air University, Islamabad, Pakistan

DOI: https://doi.org/10.3389/fphy.2022.912213
Journal volume & issue: Vol. 10

Abstract

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This manuscript explores the flow features of the Modified Cross Model in a channel with symmetric trapezoidal cavities in the presence of a circular obstacle. The non-dimensional governing equations and model for different parameters are evaluated via a Galerkin Finite Element Method The system of non-linear algebraic equations is computed by adopting the Newton method. A space involving the quadratic polynomials (P2) has been selected to compute for the velocity profile while the pressure profile is approximated by a linear (P1) finite element space of functions. Simulations are performed for a wide range of physical parameters such as modified parameter (from 0.0 to 0.5), power-law index (from 0.5 to 1.5), relaxation parameter (from 1 to 3), and Reynolds number (from 10 to 40). For the case of a modified parameter (b) and relaxation parameter (λ), it is observed that the drag coefficient (CD) shows an increasing trend while the lift coefficient (CL) is changing sign at lower values of (λ), and then becomes positive at λ=3.

Published in Frontiers in Physics

ISSN: 2296-424X (Online)
Publisher: Frontiers Media S.A.
Country of publisher: Switzerland
LCC subjects: Science: Physics
Website: https://www.frontiersin.org/journals/physics

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