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.

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

References

Khashi'ie, Najiyah Safwa, Iskandar Waini, Abdul Rahman Mohd Kasim, Nurul Amira Zainal, Anuar Ishak, and Ioan Pop. "Magnetohydrodynamic and viscous dissipation effects on radiative heat transfer of non-Newtonian fluid flow past a nonlinearly shrinking sheet: Reiner–Philippoff model." Alexandria Engineering Journal 61, no. 10 (2022): 7605-7617. https://doi.org/10.1016/j.aej.2022.01.014

Waini, Iskandar, Najiyah Safwa Khashi'ie, Abdul Rahman Mohd Kasim, Nurul Amira Zainal, Anuar Ishak, and Ioan Pop. "Radiative heat transfer of Reiner–Philippoff fluid flow past a nonlinearly shrinking sheet: Dual solutions and stability analysis." Chinese Journal of Physics 77 (2022): 45-56. https://doi.org/10.1016/j.aej.2022.01.014

Waini, Iskandar, Abdul Rahman Mohd Kasim, Najiyah Safwa Khashi’ie, Nurul Amira Zainal, Anuar Ishak, and Ioan Pop. "Insight into Stability Analysis on Modified Magnetic Field of‎ Radiative Non-Newtonian Reiner–Philippoff Fluid Model‎." Journal of Applied and Computational Mechanics 8, no. 2 (2022): 745-753.

Hayat, Tasawar, Muhammad Ijaz Khan, Sumaira Qayyum, Muhammad Imran Khan, and A. Alsaedi. "Entropy generation for flow of Sisko fluid due to rotating disk." Journal of Molecular Liquids 264 (2018): 375-385. https://doi.org/10.1016/j.molliq.2018.05.022

Al-Sharifi, Hussein Ali Mohammed, Abdul Rahman Mohd Kasim, and Mohd Zuki Salleh. "Effect of Newtonian Heating on the Mixed Convection Boundary Layer Flow ofEyring-Powell Fluid Across a Nonlinearly Stretching Sheet." Journal of Engineering and Applied Sciences 11, no. 11 (2016): 2372-2377.

Abbasi, F. M., T. Hayat, and A. Alsaedi. "Numerical analysis for MHD peristaltic transport of Carreau–Yasuda fluid in a curved channel with Hall effects." Journal of Magnetism and Magnetic Materials 382 (2015): 104-110. https://doi.org/10.1016/j.jmmm.2015.01.040

Ali, Usman, Khalil Ur Rehman, Ali Saleh Alshomrani, and M. Y. Malik. "Thermal and concentration aspects in Carreau viscosity model via wedge." Case studies in thermal engineering 12 (2018): 126-133. https://doi.org/10.1016/j.csite.2018.04.007

Eshgarf, Hamed, and Masoud Afrand. "An experimental study on rheological behavior of non-Newtonian hybrid nano-coolant for application in cooling and heating systems." Experimental Thermal and Fluid Science 76 (2016): 221-227. https://doi.org/10.1016/j.expthermflusci.2016.03.015

Elelamy, Asmaa F., Nasser S. Elgazery, and R. Ellahi. "Blood flow of MHD non-Newtonian nanofluid with heat transfer and slip effects: Application of bacterial growth in heart valve." International Journal of Numerical Methods for Heat & Fluid Flow 30, no. 11 (2020): 4883-4908. https://doi.org/10.1108/HFF-12-2019-0910

Mohamed, Ahmed Bahgat. "Experimental Study of Non-Newtonian Fluid Behavior by Utilizing Drop Test for Medical Applications." (2021).

Marinov, Valery. "Application of Non-Newtonian Fluid Mechanics in Modeling of the Metal Cutting Process: An Overview." In Proceedings of the Sixth CIRP International Workshop on Modeling of Machining Operations. Hamilton, Ontario, Canada, May, pp. 19-20. 2003.

Thurston, George B., and Alfred Martin. "Rheology of pharmaceutical systems: oscillatory and steady shear of non-Newtonian viscoelastic liquids." Journal of Pharmaceutical Sciences 67, no. 11 (1978): 1499-1506. https://doi.org/10.1002/jps.2600671103

Brujan, Emil. Cavitation in Non-Newtonian fluids: with biomedical and bioengineering applications. Springer Science & Business Media, 2010. https://doi.org/10.1007/978-3-642-15343-3

Kanafiah, Siti Farah Haryatie Mohd, Abdul Rahman Mohd Kasim, and Syazwani Mohd Zokri. 2022. "Generalized Mathematical Model of Brinkman Fluid with Viscoelastic Properties: Case over a Sphere Embedded in Porous Media" Axioms 11, no. 11: 609. https://doi.org/10.3390/axioms11110609

Kanafiah, Siti Farah Haryatie Mohd, Abdul Rahman Mohd Kasim, Syazwani Mohd Zokri, and Nur Syamilah Arifin. 2022. "Non-Similarity Solutions of Non-Newtonian Brinkman–Viscoelastic Fluid" Mathematics 10, no. 12: 2023. https://doi.org/10.3390/math10122023

Mohd Kasim, Abdul Rahman, Nurul Farahain Mohammad, Sharidan Shafie, and Ioan Pop. "Constant heat flux solution for mixed convection boundary layer viscoelastic fluid." Heat and Mass Transfer 49, no. 2 (2013): 163-171. https://doi.org/10.1007/s00231-012-1075-x

Kasim, Abdul Rahman Mohd, N. F. Mohammad, and S. Sharidan. "Natural convection boundary layer flow of a viscoelastic fluid on solid sphere with Newtonian heating." International Journal of Physical and Mathematical Sciences 6, no. 4 (2012): 410-415.

Kasim, Abdul Rahman Mohd, Mohd Ariff Admon, and Sharidan Shafie. "Free convection boundary layer flow of a viscoelastic fluid in the presence of heat generation." Momentum 10, no. 6 (2011).

Mohd Kasim, Abdul Rahman, Nurul Farahain Mohammad, and Sharidan Shafie. "Effect of heat generation on free convection boundary layer flow of a viscoelastic fluid past a horizontal circular cylinder with constant surface heat flux." In AIP Conference Proceedings, vol. 1450, no. 1, pp. 286-292. American Institute of Physics, 2012. https://doi.org/10.1063/1.4724156

Anwar, Ilyana, Norsarahaida Amin, and Ioan Pop. "Mixed convection boundary layer flow of a viscoelastic fluid over a horizontal circular cylinder." International Journal of Non-Linear Mechanics 43, no. 9 (2008): 814-821. https://doi.org/10.1016/j.ijnonlinmec.2008.04.008

Eringen, A. Cemal. "Theory of micropolar fluids." Journal of Mathematics and Mechanics (1966): 1-18. https://doi.org/10.1512/iumj.1967.16.16001

Dasman, Anisah, Abdul Rahman Mohd Kasim, Iskandar Waini, and Najiyah Safwa Khashi’ie. 2021. “Numerical Solution for Boundary Layer Flow of a Dusty Micropolar Fluid Due to a Stretching Sheet With Constant Wall Temperature”. Journal of Advanced Research in Fluid Mechanics and Thermal Sciences 87 (1):30-40. https://doi.org/10.37934/arfmts.87.1.3040.

Mohammad, Nurul Farahain, Abdul Rahman Mohd Kasim, Anati Ali, and Sharidan Shafie. "Unsteady mixed convection boundary layer flow past a sphere in a micropolar fluid." In AIP Conference Proceedings, vol. 1450, no. 1, pp. 211-217. American Institute of Physics, 2012. https://doi.org/10.1063/1.4724142

Rees, D. Andrew S., and Andrew P. Bassom. "The Blasius boundary-layer flow of a micropolar fluid." International Journal of Engineering Science 34, no. 1 (1996): 113-124. https://doi.org/10.1016/0020-7225(95)00058-5

Nazar, Roslinda, Norsarahaida Amin, and Ioan Pop. "Mixed convection boundary‐layer flow from a horizontal circular cylinder in micropolar fluids: case of constant wall temperature." International Journal of Numerical Methods for Heat & Fluid Flow 13, no. 1 (2003): 86-109. https://doi.org/10.1108/09615530310456778

Nadeem, S., and Nadeem Abbas. "On both MHD and slip effect in micropolar hybrid nanofluid past a circular cylinder under stagnation point region." Canadian Journal of Physics 97, no. 4 (2019): 392-399. https://doi.org/10.1139/cjp-2018-0173

Aziz, Laila Amera, Abdul Rahman Mohd Kasim, Mohd Zuki Salleh, Nur Syahidah Yusoff, and Sharidan Shafie. "Magnetohydrodynamics effect on convective boundary layer flow and heat transfer of viscoelastic micropolar fluid past a sphere." In Journal of Physics: Conference Series, vol. 890, no. 1, p. 012003. IOP Publishing, 2017. https://doi.org/10.1088/1742-6596/890/1/012003

Mohammad, Nurul Farahain, Iskandar Waini, Abdul Rahman Mohd Kasim, and Nurazleen Abdul Majid. "Unsteady boundary layer flow over a sphere in a porous medium." In AIP conference proceedings, vol. 1870, no. 1, p. 040076. AIP Publishing LLC, 2017. https://doi.org/10.1063/1.4995908

Kuznetsov, A. V., and D. A. Nield. "The Cheng–Minkowycz problem for natural convective boundary layer flow in a porous medium saturated by a nanofluid: a revised model." International Journal of Heat and Mass Transfer 65 (2013): 682-685. https://doi.org/10.1016/j.ijheatmasstransfer.2013.06.054

Ahmad, Shafiq, S. Nadeem, and Noor Muhammad. "Boundary layer flow over a curved surface imbedded in porous medium." Communications in Theoretical Physics 71, no. 3 (2019): 344. https://doi.org/10.1088/0253-6102/71/3/344

Mishra, S. R., G. C. Dash, and M. Acharya. "Mass and heat transfer effect on MHD flow of a visco-elastic fluid through porous medium with oscillatory suction and heat source." International Journal of Heat and Mass Transfer 57, no. 2 (2013): 433-438. https://doi.org/10.1016/j.ijheatmasstransfer.2012.10.053

Nayak, M. K. "Chemical reaction effect on MHD viscoelastic fluid over a stretching sheet through porous medium." Meccanica 51, no. 8 (2016): 1699-1711. https://doi.org/10.1007/s11012-015-0329-3

Waqas, H., M. Imran, S. U. Khan, S. A. Shehzad, and M. A. Meraj. "Slip flow of Maxwell viscoelasticity-based micropolar nanoparticles with porous medium: a numerical study." Applied Mathematics and Mechanics 40, no. 9 (2019): 1255-1268. https://doi.org/10.1007/s10483-019-2518-9

Tripathi, Dharmendra, and O. Anwar Bég. "A numerical study of oscillating peristaltic flow of generalized Maxwell viscoelastic fluids through a porous medium." Transport in porous media 95, no. 2 (2012): 337-348. https://doi.org/10.1007/s11242-012-0046-5

Rashidi, M. M., and S. Abbasbandy. "Analytic approximate solutions for heat transfer of a micropolar fluid through a porous medium with radiation." Communications in Nonlinear Science and Numerical Simulation 16, no. 4 (2011): 1874-1889. https://doi.org/10.1016/j.cnsns.2010.08.016

Abo-Eldahab, Emad M., and Ahmed F. Ghonaim. "Radiation effect on heat transfer of a micropolar fluid through a porous medium." Applied Mathematics and Computation 169, no. 1 (2005): 500-510. https://doi.org/10.1016/j.amc.2004.09.059

Nadeem, S., Majid Hussain, and Mahvish Naz. "MHD stagnation flow of a micropolar fluid through a porous medium." Meccanica 45, no. 6 (2010): 869-880. https://doi.org/10.1007/s11012-010-9297-9

Nazar, R., L. Tham, I. Pop, and D. B. Ingham. "Mixed convection boundary layer flow from a horizontal circular cylinder embedded in a porous medium filled with a nanofluid." Transport in porous media 86, no. 2 (2011): 517-536. https://doi.org/10.1007/s11242-010-9637-1

Rashad, A. M., A. J. Chamkha, and M. Modather. "Mixed convection boundary-layer flow past a horizontal circular cylinder embedded in a porous medium filled with a nanofluid under convective boundary condition." Computers & Fluids 86 (2013): 380-388. https://doi.org/10.1016/j.compfluid.2013.07.030

Naito, Hiroshi, and Koji Fukagata. "Numerical simulation of flow around a circular cylinder having porous surface." Physics of Fluids 24, no. 11 (2012): 117102. https://doi.org/10.1063/1.4767534

Mohd Zokri, Syazwani, Nur Syamilah Arifin, Abdul Rahman Mohd Kasim, and Mohd Zuki Salleh. 2020. “Flow of Jeffrey Fluid over a Horizontal Circular Cylinder with Suspended Nanoparticles and Viscous Dissipation Effect: Buongiorno Model”. CFD Letters 12 (11):1-13. https://doi.org/10.37934/cfdl.12.11.113.

Mohd Zokri, Syazwani, Mohd Zuki Salleh, Nur Syamilah Arifin, and Abdul Rahman Mohd Kasim. 2020. “Lower Stagnation Point Flow of Convectively Heated Horizontal Circular Cylinder in Jeffrey Nanofluid With Suction/Injection”. Journal of Advanced Research in Fluid Mechanics and Thermal Sciences 76 (1):135-44. https://doi.org/10.37934/arfmts.76.1.135144.

Agarwal, Vandana, Bhupander Singh, Amrita Kumari, Wasim Jamshed, Kottakkaran Sooppy Nisar, Abdulrazak H. Almaliki, and H. Y. Zahran. "Steady Magnetohydrodynamic Micropolar Fluid Flow and Heat and Mass Transfer in Permeable Channel with Thermal Radiation." Coatings 12, no. 1 (2021): 11. https://doi.org/10.3390/coatings12010011

Ariel, P. D. "On extra boundary condition in the stagnation point flow of a second grade fluid." International journal of engineering science 40, no. 2 (2002): 145-162. https://doi.org/10.1016/S0020-7225(01)00031-3

Downloads

Published

2022-11-12

How to Cite

Abdul Rahman Mohd Kasim, Laila Amera Aziz, Noor Amalina Nisa Ariffin, Mohamad Hidayad Ahmad Kamal, Iskandar Waini, Mohd Zuki Salleh, & Dennis Ling Chuan Ching. (2022). Flow Analysis on Boundary Layer of Porous Horizontal Circular Cylinder Filled by Viscoelastic-Micropolar Fluid . CFD Letters, 14(11), 49–62. https://doi.org/10.37934/cfdl.14.11.4962

Issue

Section

Articles

Most read articles by the same author(s)

1 2 > >>