Flow Analysis of Brinkman-Viscoelastic Fluid in Boundary Layer Region of Horizontal Circular Cylinder
DOI:
https://doi.org/10.37934/cfdl.14.12.2737Keywords:
Boundary layer, Brinkman, Viscoelastic, Horizontal circular cylinder, Porous mediumAbstract
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.References
Aman, Sidra, Zulkhibri Ismail, Mohd Zuki Salleh, and Ilyas Khan. "Flow analysis of second grade fluid with wall suction/injection and convective boundary condition." Journal of Advanced Research in Fluid Mechanics and Thermal Sciences 58, no. 1 (2019): 135-143.
Kasim, Abdul Rahman Mohd, Nur Syamilah Arifin, Syazwani Mohd Zokri, and Mohd Zuki Salleh. "Fluid-particle interaction with buoyancy forces on Jeffrey fluid with Newtonian heating." CFD Letters 11, no. 1 (2019): 1-16.
Zokri, Syazwani Mohd, Nur Syamilah Arifin, Abdul Rahman Mohd Kasim, and Mohd Zuki Salleh. "Flow of jeffrey fluid over a horizontal circular cylinder with suspended nanoparticles and viscous dissipation effect: Buongiorno model." CFD letters 12, no. 11 (2020): 1-13. https://doi.org/10.37934/cfdl.12.11.113
Kasim, Abdul Rahman Mohd, Nur Syamilah Arifin, Noor Amalina Nisa Ariffin, Mohd Zuki Salleh, and Muhammad Imran Anwar. "Mathematical model of simultaneous flow between Casson fluid and dust particle over a vertical stretching sheet." International Journal of Integrated Engineering 12, no. 3 (2020): 253-260.
Gaffar, S. Abdul, V. Ramachandra Prasad, P. Ramesh Reddy, and B. Md Hidayathulla Khan. "Radiative Flow of Third Grade Non-Newtonian Fluid From A Horizontal Circular Cylinder." Nonlinear Engineering 8, no. 1 (2019): 673-687. https://doi.org/10.1515/nleng-2018-0078
Madani Tonekaboni, Seyed Ali, Ramin Abkar, and Reza Khoeilar. "On the study of viscoelastic Walters' B fluid in boundary layer flows." Mathematical Problems in Engineering 2012 (2012). https://doi.org/10.1155/2012/861508
Ahmad, H., T. Javed, and A. Ghaffari. "Radiation effect on mixed convection boundary layer flow of a viscoelastic fluid over a horizontal circular cylinder with constant heat flux." Journal of Applied Fluid Mechanics 9, no. 3 (2016): 1167-1174. https://doi.org/10.18869/acadpub.jafm.68.228.24192
Aziz, Laila Amera, Abdul Rahman Mohd Kasim, H. A. M. Al-Sharifi, Mohd Zuki Salleh, Nurul Farahain Mohammad, Sharidan Shafie, and Anati Ali. "Influence of aligned MHD on convective boundary layer flow of viscoelastic fluid." In AIP Conference Proceedings, vol. 1842, no. 1, p. 030005. AIP Publishing LLC, 2017. https://doi.org/10.1063/1.4982843
Jafar, Ahmad Banji, Sharidan Shafie, and Imran Ullah. "Magnetohydrodynamic boundary layer flow of a viscoelastic fluid past a nonlinear stretching sheet in the presence of viscous dissipation effect." Coatings 9, no. 8 (2019): 490. https://doi.org/10.3390/coatings9080490
Kasim, Abdul Rahman Mohd, Zarith Sofiah Othman, Sharidan Shafie, and Ioan Pop. "Generalized Blasius problem for a viscoelastic fluid with viscous dissipation and suction/injection effects." International Journal of Numerical Methods for Heat & Fluid Flow 23, no. 7 (2013): 1242-1255. https://doi.org/10.1108/HFF-02-2011-0022
Mahat, Rahimah, Noraihan Afiqah Rawi, Sharidan Shafie, and Abdul Rahman Mohd Kasim. "Mixed convection boundary layer flow of viscoelastic nanofluid past a horizontal circular cylinder with convective boundary condition." Int. J. Mech. Eng. Robot. Res 8, no. 1 (2019): 87-91. https://doi.org/10.18178/ijmerr.8.1.87-91
Mahat, Rahimah, Noraihan Afiqah Rawi, Abdul Rahman Mohd Kasim, and Sharidan Shafie. "Heat generation effect on mixed convection flow of viscoelastic nanofluid: convective boundary condition solution." Malaysian Journal of Fundamental and Applied Sciences 16, no. 2 (2020): 166-172. https://doi.org/10.11113/mjfas.v16n2.1367
Metri, Prashant G., Pushpanjali G. Metri, Subhas Abel, and Sergei Silvestrov. "Heat transfer in MHD mixed convection viscoelastic fluid flow over a stretching sheet embedded in a porous medium with viscous dissipation and non-uniform heat source/sink." Procedia Engineering 157 (2016): 309-316. https://doi.org/10.1016/j.proeng.2016.08.371
Mishra, S. R., R. S. Tripathy, and G. C. Dash. "MHD viscoelastic fluid flow through porous medium over a stretching sheet in the presence of non-uniform heat source/sink." Rendiconti del Circolo Matematico di Palermo Series 2 67, no. 1 (2018): 129-143. https://doi.org/10.1007/s12215-017-0300-3
Widodo, Basuki, Chairul Imron, Nur Asiyah, Galuh Oktavia Siswono, and Tri Rahayuningsih. "Viscoelastic fluid flow pass a porous circular cylinder when the magnetic field included." Far East Journal of Mathematical Sciences 99, no. 2 (2016): 173-186. https://doi.org/10.17654/MS099020173
Nazar, Roslinda, Norsarahaida Amin, Diana Filip, and Ioan Pop. "The Brinkman model for the mixed convection boundary layer flow past a horizontal circular cylinder in a porous medium." International Journal of Heat and Mass Transfer 46, no. 17 (2003): 3167-3178. https://doi.org/10.1016/S0017-9310(03)00122-4
Chamkha, Ali. "Free convection from a vertical cylinder embedded in a porous medium filled with cold water." (2004).
Shafie, Sharidan, Muhammad Saqib, Ilyas Khan, and Ahmad Qushairi. "Mixed convection flow of brinkman type hybrid nanofluid based on Atangana-Baleanu fractional model." In Journal of Physics: Conference Series, vol. 1366, no. 1, p. 012041. IOP Publishing, 2019. https://doi.org/10.1088/1742-6596/1366/1/012041
Flilihi, E., M. Sriti, D. Achemlal, and M. El Haroui. "Semi-analytical prediction of mixed convection in porous medium using Darcy-Brinkman model." Journal of Engineering and Applied Sciences 14, no. 4 (2019): 1122-1129. https://doi.org/10.36478/jeasci.2019.1122.1129
Salleh, M. Z., R. Nazar, N. M. Arifin, I. Pop, and J. H. Merkin. "Forced-convection heat transfer over a circular cylinder with Newtonian heating." Journal of Engineering Mathematics 69, no. 1 (2011): 101-110. https://doi.org/10.1007/s10665-010-9408-6
Tham, Leony, Roslinda Nazar, and Ioan Pop. "Mixed convection boundary layer flow past a horizontal circular cylinder embedded in a porous medium saturated by a nanofluid: Brinkman model." Journal of Porous Media 16, no. 5 (2013). https://doi.org/10.1615/JPorMedia.v16.i5.50
Harris, S. D., D. B. Ingham, and I. Pop. "Mixed convection boundary-layer flow near the stagnation point on a vertical surface in a porous medium: Brinkman model with slip." Transport in Porous Media 77, no. 2 (2009): 267-285. https://doi.org/10.1007/s11242-008-9309-6
