# Flow Analysis of Brinkman-Viscoelastic Fluid in Boundary Layer Region of Horizontal Circular Cylinder

## Authors

• Siti Farah Haryatie Mohd Kanafiah Faculty of Computer and Mathematical Sciences, Universiti Teknologi MARA, Kelantan Branch, Machang 18500, Malaysia
• Abdul Rahman Mohd Kasim Centre for Mathematical Sciences, Universiti Malaysia Pahang, Gambang, 26300, Malaysia
• Syazwani Mohd Zokri Faculty of Computer and Mathematical Sciences, Universiti Teknologi MARA, Terengganu Branch, Kuala Terengganu, 21080, Malaysia
• Syamilah Arifin Faculty of Computer and Mathematical Sciences, Universiti Teknologi MARA, Terengganu Branch, Kuala Terengganu, 21080, Malaysia
• Zati Iwani Abdul Manaf Faculty of Computer and Mathematical Sciences, Universiti Teknologi MARA, Kelantan Branch, Machang 18500, Malaysia

## Keywords:

Boundary layer, Brinkman, Viscoelastic, Horizontal circular cylinder, Porous medium

## Abstract

This paper examines the flow of Brinkman-viscoelastic fluid in the boundary layer region. The flow over a Horizontal Circular Cylinder (HCC) is investigated theoretically. The proposed model’s governing equations, which are partial differential equations (PDEs), are transformed to their simplest form by using the appropriate non-dimensional variables and non-similarity transformation. The numerical computations for the obtained equations are then computed using the Keller-box method (KBM) which is programmed in MATLAB R2019a software. The velocity distribution results, together with the coefficient of skin friction are presented. A comparison study with previously published results is carried out to ensure that the current findings are accurate. It is discovered that the presence of the Brinkman and viscoelastic parameters influences the velocity behaviour of fluid, with a tendency to decrease the velocity distribution of fluid. Furthermore, both parameters have the potential to decrease the skin friction coefficient. The output can be used as a starting point for complex flow problems that occur frequently in engineering applications.

## Author Biographies

### Syazwani Mohd Zokri, Faculty of Computer and Mathematical Sciences, Universiti Teknologi MARA, Terengganu Branch, Kuala Terengganu, 21080, Malaysia

syazwanimz@uitm.edu.my

### Syamilah Arifin, Faculty of Computer and Mathematical Sciences, Universiti Teknologi MARA, Terengganu Branch, Kuala Terengganu, 21080, Malaysia

nursyamilaharifin@uitm.edu.my

### Zati Iwani Abdul Manaf, Faculty of Computer and Mathematical Sciences, Universiti Teknologi MARA, Kelantan Branch, Machang 18500, Malaysia

zati431@uitm.edu.my

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2022-11-18

## How to Cite

Siti Farah Haryatie Mohd Kanafiah, Abdul Rahman Mohd Kasim, Syazwani Mohd Zokri, Syamilah Arifin, & Zati Iwani Abdul Manaf. (2022). Flow Analysis of Brinkman-Viscoelastic Fluid in Boundary Layer Region of Horizontal Circular Cylinder. CFD Letters, 14(12), 27–37. https://doi.org/10.37934/cfdl.14.12.2737

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