LAPSE:2020.1049
Published Article
LAPSE:2020.1049
Finite Element Analysis on Bingham−Papanastasiou Viscoplastic Flow in a Channel with Circular/Square Obstacles: A Comparative Benchmarking
Asif Mehmood, Waqar A. Khan, Rashid Mahmood, Khalil Ur Rehman
October 26, 2020
A CFD (computational fluid dynamics) analysis was carried out for the Bingham viscoplastic fluid flow simulations around cylinders of circular and square shapes. The governing equations in space were discretized with the finite element approach via a weak formulation and utilizing Ladyzhenskaya−Babuška−Brezzi-stable pair Q 2 / P 1 disc for approximation of the velocity and pressure profiles. The discrete non-linear system was linearized through Newton’s method, and a direct linear solver was iterated as an inner core solver. The study predicts the functional dependence and impact of Bingham number, B n , on the drag coefficient and lift coefficient. The effect of the shape of an obstacle is also provided by providing comparative data for the hydrodynamic forces with the published results.
Keywords
Bingham fluid, drag and lift coefficients, LBB-stable finite element pair, yield stress
Suggested Citation
Mehmood A, Khan WA, Mahmood R, Rehman KU. Finite Element Analysis on Bingham−Papanastasiou Viscoplastic Flow in a Channel with Circular/Square Obstacles: A Comparative Benchmarking. (2020). LAPSE:2020.1049
Author Affiliations
Mehmood A: Department of Mathematics, Air University, PAF Complex E-9, Islamabad 44000, Pakistan
Khan WA: Department of Mechanical Engineering, College of Engineering, Prince Mohammad Bin Fahd University, Al Khobar 31952, Saudi Arabia
Mahmood R: Department of Mathematics, Air University, PAF Complex E-9, Islamabad 44000, Pakistan
Rehman KU: Department of Mathematics, Air University, PAF Complex E-9, Islamabad 44000, Pakistan
Journal Name
Processes
Volume
8
Issue
7
Article Number
E779
Year
2020
Publication Date
2020-07-03
Published Version
ISSN
2227-9717
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Original Submission
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PII: pr8070779, Publication Type: Journal Article
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LAPSE:2020.1049
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doi:10.3390/pr8070779
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Oct 26, 2020
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CC BY 4.0
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Oct 26, 2020
 
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Calvin Tsay
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