Dual Solutions of MHD Stagnation Slip Flow Past a Permeable Plate


  • Mohamad Mustaqim Junoh Faculty Computer and Mathematical Sciences, Universiti Teknologi MARA Cawangan Johor, Segamat Campus, Jalan Universiti Off Km. 12 Jalan Muar, 85000 Segamat, Johor, Malaysia
  • Nursyahanis Abdullah Department of Mathematics, Faculty of Science, Universiti Putra Malaysia, 43400 Serdang, Selangor, Malaysia
  • Fadzilah Md Ali Institute for Mathematical Research, Universiti Putra Malaysia, 43400 Serdang, Selangor, Malaysia




Dual solutions, MHD, slip flow, stagnation point, suction


In this paper, dual solution to the problem of steady laminar magnetohydrodynamics boundary layer stagnation slip flow of the electrically conducting fluid over a permeable plate with suction effect is performed. The governing partial differential equations of the boundary layer are transformed into nonlinear ordinary differential equations via similarity transformations, and then numerically solved using the bvp4c method, which is the integrated algorithm of MATLAB. The effect of magnetic, slip and suction parameters on the skin friction coefficients and the velocity profiles  and  are presented in graphical form and discussed in detail. Dual solutions have been identified when suction is implied.


Mukhopadhyay, Swati, and Iswar Chandra Mandal. "Magnetohydrodynamic (MHD) mixed convection slip flow and heat transfer over a vertical porous plate." Engineering Science and Technology, an International Journal 18, no. 1 (2015): 98-105. https://doi.org/10.1016/j.jestch.2014.10.001

Reza, M., and A. S. Gupta. "MHD stagnation-point flow of an electrically conducting fluid on the surface of another quiescent fluid." Acta Mechanica 223, no. 11 (2012): 2303-2310. https://doi.org/10.1007/s00707-012-0708-y

Ghadikolaei, S. S., M. Yassari, H. Sadeghi, Kh Hosseinzadeh, and D. D. Ganji. "Investigation on thermophysical properties of Tio2–Cu/H2O hybrid nanofluid transport dependent on shape factor in MHD stagnation point flow." Powder technology 322 (2017): 428-438. https://doi.org/10.1016/j.powtec.2017.09.006

Ibrahim, Wubshet. "The effect of induced magnetic field and convective boundary condition on MHD stagnation point flow and heat transfer of upper-convected Maxwell fluid in the presence of nanoparticle past a stretching sheet." Propulsion and Power Research 5, no. 2 (2016): 164-175. https://doi.org/10.1016/j.jppr.2016.05.003

Jalilpour, B., S. Jafarmadar, D. D. Ganji, A. B. Shotorban, and H. Taghavifar. "Heat generation/absorption on MHD stagnation flow of nanofluid towards a porous stretching sheet with prescribed surface heat flux." Journal of Molecular Liquids 195 (2014): 194-204. https://doi.org/10.1016/j.molliq.2014.02.021

Ali, Fadzilah Md, Roslinda Nazar, Norihan Md Arifin, and Ioan Pop. "MHD stagnation-point flow and heat transfer towards stretching sheet with induced magnetic field." Applied Mathematics and Mechanics 32, no. 4 (2011): 409-418. https://doi.org/10.1007/s10483-011-1426-6

Junoh, Mohamad Mustaqim, Fadzilah Md Ali, Norihan Md Arifin, Norfifah Bachok, and Ioan Pop. "MHD stagnation-point flow and heat transfer past a stretching/shrinking sheet in a hybrid nanofluid with induced magnetic field." International Journal of Numerical Methods for Heat and Fluid Flow 30, no. 3 (2019): 1345-1364. https://doi.org/10.1108/HFF-06-2019-0500

Junoh, Mohamad Mustaqim, Fadzilah Md Ali, and Ioan Pop. "Magnetohydrodynamics stagnation-point flow of a nanofluid past a stretching/shrinking sheet with induced magnetic field: A revised model." Symmetry 11, no. 9 (2019): 1078. https://doi.org/10.3390/sym11091078

Mandal, Iswar Chandra, and Swati Mukhopadhyay. "MHD combined convective flow and heat transfer past a porous stretching surface embedded in a porous medium." Acta Technica CSAV (Ceskoslovensk Akademie Ved) 57, no. 1 (2012): 17-32.

Zhu, Jing, Liancun Zheng, and Zhi-gang Zhang. "Effects of slip condition on MHD stagnation-point flow over a Power-law stretching sheet." Applied Mathematics and Mechanics 31, no.4 (2010): 439-448. https://doi.org/10.1007/s10483-010-0404-z

Ellahi, Rahmat, Sultan Z Alamri, Abdul Basit, and A. Majeed. "Effects of MHD and slip on heat transfer boundary layer flow over a moving plate based on specific entropy generation." Journal of Taibah University for Science 12, no. 4 (2018): 476-482. https://doi.org/10.1080/16583655.2018.1483795

Nandeppanavar, Mahantesh M., M. C. Kemparaju, and S. Shakunthala. "MHD stagnation point slip flow due to a non-linearly moving surface with effect of non-uniform heat source." Nonlinear Engineering 8, no. 1 (2019): 270-282. https://doi.org/10.1515/nleng-2017-0109

Zaimi, Khairy, and Anuar Ishak. "Stagnation-point flow towards a stretching vertical sheet with slip effects." Mathematics 4, no. 2 (2016): 27. https://doi.org/10.3390/math4020027

Bachok, Norfifah, Anuar Ishak, and Ioan Pop. "Stagnation point flow toward a stretching/shrinking sheet with a convective surface boundary condition." Journal of The Franklin Institute 350, no. 9 (2013): 2736-2744. https://doi.org/10.1016/j.jfranklin.2013.07.002

Bachok, Norfifah, Anuar Ishak, and Ioan Pop. "MHD flow and heat transfer near the stagnation point on a stretching/shrinking sheet in a micropolar fluid." Magnetohydrodynamics 47, no. 3 (2011): 237-247. https://doi.org/10.22364/mhd.47.3.3

Mukhopadhyay, Swati. "Slip effects on MHD boundary layer flow over an exponentially stretching sheet with suction/blowing and thermal radiation." Ain Shams Engineering Journal 4, no. 3 (2013): 485-491. https://doi.org/10.1016/j.asej.2012.10.007

Khan, Muhammad Ijaz, Muhammad Tamoor, Tasawar Hayat, and Ahmed Alsaedi. "MHD boundary layer thermal slip flow by nonlinearly stretching cylinder with suction/blowing and radiation." Results in Physics 7 (2017): 1207-1211. https://doi.org/10.1016/j.rinp.2017.03.009

Yian, Lok Yian, Anuar Ishak, and Ioan Pop. "MHD stagnation point flow with suction towards a shrinking sheet." Sains Malaysiana 40, no. 10 (2011): 1179-1186.

Ishak, Anuar, Roslinda Nazar, and Ioan Pop. "Dual solutions in mixed convection boundary-layer flow with suction or injection.” IMA Journal of Applied Mathematics 72, no. 4 (2007): 451-463. https://doi.org/10.1093/imamat/hxm020

Mansur, Syahira, Anuar Ishak, and Ioan Pop. "The Magnetohydrodynamic stagnation point flow of a nanofluid over a stretching/shrinking sheet with suction." PLoS ONE 10, no. 3 (2015): 1-14. https://doi.org/10.1371/journal.pone.0117733

Ali, Fadzilah Md, Roslinda Nazar, Norihan Md Arifin, and Ioan Pop. "An MHD stagnation slip flow on a moving plate." Fluid Dynamics Research 43, no. 1 (2011): 015502. https://doi.org/10.1088/0169-5983/43/1/015502

Ali, Fadzilah Md, Roslinda Nazar, Norihan Md Arifin, and Ioan Pop. "Dual Solutions in MHD Flow on a Nonlinear Porous Shrinking Sheet in a Viscous Fluid." Boundary Value Problems 2013, no. 1 (2013): 32. https://doi.org/10.1186/1687-2770-2013-32

Abdul Hamid, Rohana, Norihan Md Arifin, Roslinda Nazar, Fadzilah Md Ali, and Ioan Pop. "Dual solutions on thermosolutal Marangoni forced convection boundary layer with suction and injection." Mathematical Problems in Engineering 2011 (2011). https://doi.org/10.1155/2011/875754

Junoh, Mohamad Mustaqim, Fadzilah Md Ali, Norihan Md Arifin, and Norfifah Bachok. "Dual solutions in magnetohydrodynamic (MHD) flow on a nonlinear porous shrinking sheet: A stability analysis." AIP Conference Proceedings 1974 (2018): 020083. https://doi.org/10.1063/1.5041614

Naganthran, Kohilavani, and Roslinda Nazar. "Dual solutions of MHD stagnation-point flow and heat transfer past a stretching/shrinking sheet in a porous medium." AIP Conference Proceedings 1830, no. 1 (2017): 20038. https://doi.org/10.1063/1.4980901

Anuar, Nur Syazana, Norfifah Bachok, and Ioan Pop. "A stability analysis of solutions in boundary layer flow and heat transfer of carbon nanotubes over a moving plate with slip effect." Energies 11, no. 12 (2018): 3243. https://doi.org/10.3390/en11123243

Aleng, Nur Liyana, Norfifah Bachok, and Norihan Arifin. "Dual solutions of exponentially stretched/shrinked flows of nanofluids." Journal of Nanofluids 7 (2018): 195-202. https://doi.org/10.1166/jon.2018.1425

Ishak, Anuar Roslinda Nazar, Norfifah Bachok, and Ioan Pop. "MHD mixed convection flow adjacent to a vertical plate with prescribed surface temperature." International Journal of Heat and Mass Transfer 53, no. 21 (2010): 4506-4510. https://doi.org/10.1016/j.ijheatmasstransfer.2010.06.043

Wang, C. Y. "Stagnation slip flow and heat transfer on a moving plate." Chemical Engineering Science 61, no. 23 (2006): 7668-7672. https://doi.org/10.1016/j.ces.2006.09.003

Ariel, P. D. "Hiemenz Flow in Hydromagnetics." Acta Mechanica 103, no. 1 (1994): 31-43. https://doi.org/10.1007/BF01180216

Hafidzuddin, Ezad Hafidz, Roslinda Nazar, Norihan Md Arifin, and Ioan Pop. "Effects of anisotropic slip on three-dimensional stagnation-point flow past a permeable moving surface." European Journal of Mechanics - B/Fluids 65, (2017): 515-521. https://doi.org/10.1016/j.euromechflu.2017.05.011




How to Cite

Junoh, M. M. ., Abdullah, N. ., & Md Ali, F. . (2021). Dual Solutions of MHD Stagnation Slip Flow Past a Permeable Plate. Journal of Advanced Research in Fluid Mechanics and Thermal Sciences, 80(1), 137–146. https://doi.org/10.37934/arfmts.80.1.137146
صندلی اداری سرور مجازی ایران Decentralized Exchange



فروشگاه اینترنتی