Flow Analysis on Boundary Layer of Porous Horizontal Circular Cylinder Filled by Viscoelastic-Micropolar Fluid

Authors

  • Abdul Rahman Mohd Kasim Centre for Mathematical Sciences, College of Computing and Applied Sciences, Universiti Malaysia Pahang, Kuantan, Pahang, Malaysia
  • Laila Amera Aziz Centre for Mathematical Sciences, College of Computing and Applied Sciences, Universiti Malaysia Pahang, Kuantan, Pahang, Malaysia
  • Noor Amalina Nisa Ariffin Mathematical Sciences Studies, College of Computing, Informatics and Media, Universiti Teknologi MARA (UiTM), Pahang Branch, Jengka Campus, Bandar Tun Abdul Razak, 26400, Jengka Pahang Darul Makmur, Malaysia
  • Mohamad Hidayad Ahmad Kamal Department of Mathematical Sciences, Faculty of Science, Universiti Teknologi Malaysia, 81310 UTM Johor Bahru, Johor Bahru, Johor Darul Takzim, Malaysia
  • Iskandar Waini Fakulti Teknologi Kejuruteraan Mekanikal dan Pembuatan, Universiti Teknikal Malaysia Melaka, Hang Tuah Jaya, 76100 Durian Tunggal, Melaka, Malaysia
  • Mohd Zuki Salleh Centre for Mathematical Sciences, College of Computing and Applied Sciences, Universiti Malaysia Pahang, Kuantan, Pahang, Malaysia
  • Dennis Ling Chuan Ching Fundamental and Applied Science Department, Universiti Teknologi Petronas, Perak 32610, Malaysia

DOI:

https://doi.org/10.37934/cfdl.14.11.4962

Keywords:

Boundary layer, viscoelastic micropolar, porosity

Abstract

This study emphasis on the analysis of boundary layer flow of viscoelastic fluid with microrotation moving over a porous horizontal circular cylinder. The model of the problem is based on Navier Stokes equations which involved continuity, momentum and micro inertia equations. The mentioned equations are first undergo Boussinesq and boundary layer approximation before transforming to non-dimensional form which in partial differential equations system. Since the boundary layer equations of viscoelastic fluid are an order higher than Newtonian (viscous) fluid, the adherence boundary conditions are insufficient to govern the solutions entirely. Hence, the augmentation of an extra boundary conditions is necessary to perform the computation. The computation is done by adopting the established procedures called Keller box method. The results are computed for velocity and microrotation distribution as well as skin friction coefficient. It is worth to mentioned at the special case, the present model can be deduced to the established model where the porosity, microinertia and magnetic term excluded. The output computed will be served as a reference to study the complex fluid especially when the fluid exhibit both viscous and elastic characteristics with microrotation effect.

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Author Biographies

Abdul Rahman Mohd Kasim , Centre for Mathematical Sciences, College of Computing and Applied Sciences, Universiti Malaysia Pahang, Kuantan, Pahang, Malaysia

rahmanmohd@ump.edu.my

Laila Amera Aziz, Centre for Mathematical Sciences, College of Computing and Applied Sciences, Universiti Malaysia Pahang, Kuantan, Pahang, Malaysia

laila@ump.edu.my

Noor Amalina Nisa Ariffin, Mathematical Sciences Studies, College of Computing, Informatics and Media, Universiti Teknologi MARA (UiTM), Pahang Branch, Jengka Campus, Bandar Tun Abdul Razak, 26400, Jengka Pahang Darul Makmur, Malaysia

amalinanisa@uitm.edu.my

Mohamad Hidayad Ahmad Kamal, Department of Mathematical Sciences, Faculty of Science, Universiti Teknologi Malaysia, 81310 UTM Johor Bahru, Johor Bahru, Johor Darul Takzim, Malaysia

mohamadhidayadahmadkamal@gmail.com

Iskandar Waini, Fakulti Teknologi Kejuruteraan Mekanikal dan Pembuatan, Universiti Teknikal Malaysia Melaka, Hang Tuah Jaya, 76100 Durian Tunggal, Melaka, Malaysia

iskandarwaini@utem.edu.my

Mohd Zuki Salleh, Centre for Mathematical Sciences, College of Computing and Applied Sciences, Universiti Malaysia Pahang, Kuantan, Pahang, Malaysia

zuki@ump.edu.my

Dennis Ling Chuan Ching, Fundamental and Applied Science Department, Universiti Teknologi Petronas, Perak 32610, Malaysia

dennis.ling@utp.edu.my

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2022-11-12

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