An Exact Solution of MHD Hybrid Nanofluid over a Stretching Surface Embedded in Porous Medium in the Presence of Thermal Radiation and Slip with Suction

Authors

  • Suhaila Saupi Department of Mathematics, Faculty of Science, Universiti Putra Malaysia, 43400 UPM Serdang, Selangor, Malaysia
  • Aniza Abd Ghani Department of Mathematics, Faculty of Science, Universiti Putra Malaysia, 43400 UPM Serdang, Selangor, Malaysia
  • Norihan Md Arifin Department of Mathematics, Faculty of Science, Universiti Putra Malaysia, 43400 UPM Serdang, Selangor, Malaysia
  • Haliza Rosali Department of Mathematics, Faculty of Science, Universiti Putra Malaysia, 43400 UPM Serdang, Selangor, Malaysia
  • Nur Syahirah Wahid Department of Mathematics, Faculty of Science, Universiti Putra Malaysia, 43400 UPM Serdang, Selangor, Malaysia

DOI:

https://doi.org/10.37934/cfdl.15.5.7485

Keywords:

Analytical solution, Mhybrid nanofluid, Thermal Radiation, suction, Porous medium

Abstract

A comprehensive study of magnetohydrodynamics (MHD) hybrid copper-alumina nanofluid flow towards a permeable stretching sheet embedded in porous medium is analyzed analytically. The flow problem is mathematical modeled into nonlinear partial differential equations, which are reduced into ordinary differential equations via similarity transformation. The analytical solutions for momentum and energy equations are found. The effects of the porosity on velocity and temperature profiles are analyzed graphically, while the skin friction coefficient and the local Nusselt number are displayed in data tabulation. The results show that increasing the porosity parameter decrease the skin friction coefficient and heat transfer rate.

Downloads

Download data is not yet available.

Author Biography

Norihan Md Arifin, Department of Mathematics, Faculty of Science, Universiti Putra Malaysia, 43400 UPM Serdang, Selangor, Malaysia

norihana@upm.edu.my

References

Ali, F. M., R. Nazar, N. M. Arifin, and I. Pop. "Unsteady shrinking sheet with mass transfer in a rotating fluid." International Journal for Numerical Methods in Fluids 66, no. 11 (2011): 1465-1474. https://doi.org/10.1002/fld.2325

Mahapatra, Tapas Ray, and Samir Kumar Nandy. "Slip effects on unsteady stagnation-point flow and heat transfer over a shrinking sheet." Meccanica 48 (2013): 1599-1606. https://doi.org/10.1007/s11012-012-9688-1

Lok, Y. Y., and I. Pop. "Stretching or shrinking sheet problem for unsteady separated stagnation-point flow." Meccanica 49 (2014): 1479-1492. https://doi.org/10.1007/s11012-014-9932-y

Pop, Ioan, Siti Suzilliana Putri Mohamed Isa, Norihan M. Arifin, Roslinda Nazar, Norfifah Bachok, and Fadzilah M. Ali. "Unsteady viscous MHD flow over a permeable curved stretching/shrinking sheet." International Journal of Numerical Methods for Heat & Fluid Flow 26, no. 8 (2016): 2370-2392. https://doi.org/10.1108/HFF-07-2015-0301

Wahid, Nur Syahirah, Mohd Ezad Hafidz Hafidzuddin, Norihan Md Arifin, Mustafa Turkyilmazoglu, and Nor Aliza Abd Rahmin. "Magnetohydrodynamic (MHD) slip darcy flow of viscoelastic fluid over a stretching sheet and heat transfer with thermal radiation and viscous dissipation." CFD Letters 12, no. 1 (2020): 1-12.

Khan, Ansab Azam, Khairy Zaimi, Suliadi Firdaus Sufahani, and Mohammad Ferdows. "MHD flow and heat transfer of double stratified micropolar fluid over a vertical permeable shrinking/stretching sheet with chemical reaction and heat source." Journal of Advanced Research in Applied Sciences and Engineering Technology 21, no. 1 (2020): 1-14. https://doi.org/10.37934/araset.21.1.114

Wahid, Nur Syahirah, Norihan Md Arifin, Najiyah Safwa Khashi'ie, Ioan Pop, Norfifah Bachok, and Mohd Ezad Hafidz Hafidzuddin. "Flow and heat transfer of hybrid nanofluid induced by an exponentially stretching/shrinking curved surface." Case Studies in Thermal Engineering 25 (2021): 100982. https://doi.org/10.1016/j.csite.2021.100982

Choi, S. US, and Jeffrey A. Eastman. Enhancing thermal conductivity of fluids with nanoparticles. No. ANL/MSD/CP-84938; CONF-951135-29. Argonne National Lab.(ANL), Argonne, IL (United States), 1995.

Xuan, Yimin, and Qiang Li. "Heat transfer enhancement of nanofluids." International Journal of heat and fluid flow 21, no. 1 (2000): 58-64. https://doi.org/10.1016/S0142-727X(99)00067-3

Sharafatmandjoor, Shervin. "Effect of Imposition of viscous and thermal forces on Dynamical Features of Swimming of a Microorganism in nanofluids." Journal of Advanced Research in Micro and Nano Engineering 8, no. 1 (2022): 1-8.

Hassani, M., M. Mohammad Tabar, H. Nemati, G. Domairry, and F. Noori. "An analytical solution for boundary layer flow of a nanofluid past a stretching sheet." International Journal of Thermal Sciences 50, no. 11 (2011): 2256-2263. https://doi.org/10.1016/j.ijthermalsci.2011.05.015

Turkyilmazoglu, M. "Exact analytical solutions for heat and mass transfer of MHD slip flow in nanofluids." Chemical Engineering Science 84 (2012): 182-187. https://doi.org/10.1016/j.ces.2012.08.029

Rashidi, M. M., N. Vishnu Ganesh, AK Abdul Hakeem, and B. Ganga. "Buoyancy effect on MHD flow of nanofluid over a stretching sheet in the presence of thermal radiation." Journal of Molecular liquids 198 (2014): 234-238. https://doi.org/10.1016/j.molliq.2014.06.037

Elbashbeshy, E. M. A., T. G. Emam, and M. S. Abdel-Wahed. "An exact solution of boundary layer flow over a moving surface embedded into a nanofluid in the presence of magnetic field and suction/injection." Heat and Mass Transfer 50 (2014): 57-64. https://doi.org/10.1007/s00231-013-1224-x

Najib, Najwa, Norfifah Bachok, Norihan Md Arifin, and Fadzilah Md Ali. "Stability analysis of stagnation-point flow in a nanofluid over a stretching/shrinking sheet with second-order slip, soret and dufour effects: A revised model." Applied Sciences 8, no. 4 (2018): 642. https://doi.org/10.3390/app8040642

Ismail, Nurul Syuhada, Yong Faezah Rahim, Norihan Md Arifin, Roslinda Nazar, and Norfifah Bachok. "Stability analysis of the stagnation-point flow and heat transfer over a shrinking sheet in nanofluid in the presence of MHD and thermal radiation." Journal of Advanced Research in Fluid Mechanics and Thermal Sciences 91, no. 2 (2022): 96-105. https://doi.org/10.37934/arfmts.91.2.96105

Devi, SP Anjali, and S. Suriya Uma Devi. "Numerical investigation of hydromagnetic hybrid Cu–Al2O3/water nanofluid flow over a permeable stretching sheet with suction." International Journal of Nonlinear Sciences and Numerical Simulation 17, no. 5 (2016): 249-257. https://doi.org/10.1515/ijnsns-2016-0037

Waini, Iskandar, Anuar Ishak, and Ioan Pop. "Hybrid nanofluid flow and heat transfer over a nonlinear permeable stretching/shrinking surface." International Journal of Numerical Methods for Heat & Fluid Flow 29, no. 9 (2019): 3110-3127. https://doi.org/10.1108/HFF-01-2019-0057

Khashi’Ie, Najiyah Safwa, Norihan Md Arifin, Ioan Pop, Roslinda Nazar, Ezad Hafidz Hafidzuddin, and Nadihah Wahi. "Thermal Marangoni flow past a permeable stretching/shrinking sheet in a hybrid Cu-Al." Sains Malaysiana 49, no. 1 (2020): 211-222. http://dx.doi.org/10.17576/jsm-2020-4901-25

Wahid, Nur Syahirah, Norihan Md Arifin, Mustafa Turkyilmazoglu, Mohd Ezad Hafidz Hafidzuddin, and Nor Aliza Abd Rahmin. "MHD hybrid Cu-Al2O3/water nanofluid flow with thermal radiation and partial slip past a permeable stretching surface: analytical solution." In Journal of Nano Research, vol. 64, pp. 75-91. Trans Tech Publications Ltd, 2020. https://doi.org/10.4028/www.scientific.net/JNanoR.64.75

Khashi'ie, Najiyah Safwa, Norihan Md Arifin, Roslinda Nazar, Ezad Hafidz Hafidzuddin, Nadihah Wahi, and Ioan Pop. "Magnetohydrodynamics (MHD) axisymmetric flow and heat transfer of a hybrid nanofluid past a radially permeable stretching/shrinking sheet with Joule heating." Chinese Journal of Physics 64 (2020): 251-263. https://doi.org/10.1016/j.cjph.2019.11.008

Wahid, Nur Syahirah, Norihan Md Arifin, Najiyah Safwa Khashi’ie, and Ioan Pop. "Hybrid nanofluid slip flow over an exponentially stretching/shrinking permeable sheet with heat generation." Mathematics 9, no. 1 (2020): 30. https://doi.org/10.3390/math9010030

Kho, Yap Bing, Rahimah Jusoh, Mohd Zuki Salleh, Mohd Hisyam Ariff, and Ioan Pop. "Homann Stagnation Point Flow and Heat Transfer of Hybrid Nanofluids Over a Permeable Radially Stretching/Shrinking Sheet." Journal of Advanced Research in Fluid Mechanics and Thermal Sciences 85, no. 1 (2021): 101-112. https://doi.org/10.37934/arfmts.85.1.101112

Crane, Lawrence J. "Flow past a stretching plate." Zeitschrift für angewandte Mathematik und Physik ZAMP 21 (1970): 645-647. https://doi.org/10.1007/BF10587695

Aly, Emad H., and Abdelhalim Ebaid. "Exact analysis for the effect of heat transfer on MHD and radiation Marangoni boundary layer nanofluid flow past a surface embedded in a porous medium." Journal of Molecular liquids 215 (2016): 625-639. https://doi.org/10.1016/j.molliq.2015.12.108

Downloads

Published

2023-03-16

Issue

Section

Articles

Most read articles by the same author(s)