Parabolic transport measurement of hydrodynamic forces for flow around circular/triangular distance dependent obstructions: Finite element analysis

AIMS Mathematics

article

Khalil Ur Rehman¹  Wasfi Shatanawi¹  Kamal Abodayeh¹  Taqi A.M. Shatnawi³ 

[1] Department of Mathematics and Sciences, College of Humanities and Sciences, Prince Sultan University;Department of Mathematics, Air University;Department of Mathematics, Faculty of Science, The Hashemite University

关键词: fractional distance;    hydrodynamic forces;    nonlinear PDEs;    newtonian model;    triangular/circular obstructions;    CD domain;    hybrid meshing;   

DOI  :  10.3934/math.2023444

学科分类：地球科学(综合)

来源: AIMS Press

【 摘 要 】

The present effort is the low Reynolds finite element hybrid meshed solution to apprehend the flow field properties in a convergent-divergent (CD) domain having engineering standpoints applications. To be more specific, we have considered the CD domain rooted with two types of obstructions in three various arrangements namely triangular/triangular, circular/triangular, and triangular/circular in CD throat. The viscous fluid is introduced from the inlet and interacts with installed obstacles. The moving stream in the channel is modelled mathematically in terms of the two-dimensional time-independent equations. The finite element approach is used to disclose numerical solutions by means of a hybrid meshing scheme. Optimized drag and lift force values encountered by an obstruction are offered through line integration across the external obstruction surfaces. In comparison to obstruction in left vicinity, the lift force faced by the triangle obstacle on the right side of the CD throat is larger. Furthermore, as compared to the drag force faced by the triangular obstruction in the same proximity, the circular obstacle experienced greater values as a drag. The lifting force sensed by the triangular cylinder is larger than circular cylinders. The assessment of marine hydrodynamic forces and stability individualities for fully or partially submerged objects in ocean engineering will benefit from the results of this study.

【 授权许可】

CC BY