Effects of radiation and magnetohydrodynamic on unsteady Casson fluid over accelerated plate

Authors

  • Nur Fatihah Mod Omar Centre for Mathematical Sciences, College of Computing and Applied Sciences, Universiti Malaysia Pahang, Lebuhraya Tun Razak, 26300 Gambang, Pahang, Malaysia
  • Husna Izzati Osman Centre for Mathematical Sciences, College of Computing and Applied Sciences, Universiti Malaysia Pahang, Lebuhraya Tun Razak, 26300 Gambang, Pahang, Malaysia
  • Ahmad Qushairi Mohamad Department of Mathematical Sciences, Faculty of Science, Universiti Teknologi Malaysia, 81310 Johor Bahru, Johor, Malaysia
  • Rahimah Jusoh Centre for Mathematical Sciences, College of Computing and Applied Sciences, Universiti Malaysia Pahang, Lebuhraya Tun Razak, 26300 Gambang, Pahang, Malaysia
  • Zulkhibri Ismail Centre for Mathematical Sciences, College of Computing and Applied Sciences, Universiti Malaysia Pahang, Lebuhraya Tun Razak, 26300 Gambang, Pahang, Malaysia

DOI:

https://doi.org/10.37934/arfmts.85.1.93100

Keywords:

Radiation, magnetohydrodynamics, accelerated plate, Casson fluid

Abstract

The effects of radiation and magnetohydrodynamic on unsteady Casson fluid through an accelerated plate is analysed. The problem is formulated in the form of Partial Differential Equations (PDE) with imposed initial and boundary conditions. The Partial Differential Equations are transformed into dimensionless form by introducing suitable non-dimensional variables. Laplace transform method is used to derive the exact solutions for temperature and velocity profiles, fulfilling all initial and boundary conditions. The effects of parameters are depicted and illustrated graphically for radiation, Casson fluid and time, as well as Magnetohydrodynamics (MHD). It is found that the thermal radiation rises due to an increase in temperature. Besides, the increasing of Casson fluid and MHD parameter has decreasing effect on velocity. Finally, the influence of time will increase the velocity of the fluid.

Author Biographies

Nur Fatihah Mod Omar, Centre for Mathematical Sciences, College of Computing and Applied Sciences, Universiti Malaysia Pahang, Lebuhraya Tun Razak, 26300 Gambang, Pahang, Malaysia

fthh1811@gmail.com

Husna Izzati Osman, Centre for Mathematical Sciences, College of Computing and Applied Sciences, Universiti Malaysia Pahang, Lebuhraya Tun Razak, 26300 Gambang, Pahang, Malaysia

husnaizzatii@yahoo.com

Ahmad Qushairi Mohamad, Department of Mathematical Sciences, Faculty of Science, Universiti Teknologi Malaysia, 81310 Johor Bahru, Johor, Malaysia

ahmadqushairi@utm.my

Rahimah Jusoh, Centre for Mathematical Sciences, College of Computing and Applied Sciences, Universiti Malaysia Pahang, Lebuhraya Tun Razak, 26300 Gambang, Pahang, Malaysia

rahimahj@ump.edu.my

Zulkhibri Ismail, Centre for Mathematical Sciences, College of Computing and Applied Sciences, Universiti Malaysia Pahang, Lebuhraya Tun Razak, 26300 Gambang, Pahang, Malaysia

zulkhibri@ump.edu.my

References

Chaoyang, Wang, and Tu Chuanjing. "Boundary-layer flow and heat transfer of non-Newtonian fluids in porous media." International Journal of Heat and Fluid Flow 10, no. 2 (1989): 160-165. https://doi.org/10.1016/0142-727X(89)90011-8

Kleppe, J., and W. J. Marner. "Transient free convection in a Bingham plastic on a vertical flat plate." Journal of Heat Transfer 94, no. 4 (1972): 371-376. https://doi.org/10.1115/1.3449954

Olajuwon, B. I. "Flow and natural convection heat transfer in a power law fluid past a vertical plate with heat generation." International Journal of Nonlinear Science 7, no. 1 (2009): 50-56.

Khan, Ilyas, Farhad Ali, Sharidan Shafie, and Muhammad Qasim. "Unsteady free convection flow in a Walters-B fluid and heat transfer analysis." Bulletin of the Malaysian Mathematical Sciences Society 37, no. 2 (2014): 437-448.

Hassan, M. A., Manabendra Pathak, and Mohd Khan. "Natural convection of viscoplastic fluids in a square enclosure." Journal of Heat Transfer 135, no. 12 (2013): 122501. https://doi.org/10.1115/1.4024896

Khan, Ilyas, Kamran Fakhar, and Muhammad Imran Anwar. "Hydromagnetic rotating flows of an Oldroyd-B fluid in a porous medium." Special Topics & Reviews in Porous Media: An International Journal 3, no. 1 (2012): 89-95. https://doi.org/10.1615/SpecialTopicsRevPorousMedia.v3.i1.80

Alkasasbeh, Hamzeh Taha. "Numerical solution of micropolar Casson fluid behaviour on steady MHD natural convective flow about a solid sphere." Journal of Advanced Research in Fluid Mechanics and Thermal Sciences 50, no. 1 (2018): 55-66.

Jamil, Dzuliana Fatin, Uddin, Salah and Roslan, Rozaini. "The Effects of Magnetic Casson Blood Flow in an Inclined Multi-stenosed Artery by using Caputo-Fabrizio Fractional Derivatives." Journal of Advanced Research in Materials Science 72, no. 1 (2020): 15-30.

Casson, N. "A Flow Equation for Pigment-Oil Suspensions of the Printing Ink Type." Rheology of Disperse Systems (1959).

Khalid, Asma, Ilyas Khan, and Sharidan Shafie. "Unsteady boundary layer flow of a Casson fluid past an oscillating vertical plate with constant wall temperature." Malaysian Journal of Fundamental and Applied Sciences 11, no. 1 (2015): 28-32. https://doi.org/10.11113/mjfas.v11n1.360

Nadeem, Sohail, Rizwan Ul Haq, and C. Lee. "MHD flow of a Casson fluid over an exponentially shrinking sheet." Scientia Iranica 19, no. 6 (2012): 1550-1553. https://doi.org/10.1016/j.scient.2012.10.021

Das, M., R. Mahato, and R. Nandkeolyar. "Newtonian heating effect on unsteady hydromagnetic Casson fluid flow past a flat plate with heat and mass transfer." Alexandria Engineering Journal 54, no. 4 (2015): 871-879. https://doi.org/10.1016/j.aej.2015.07.007

Kataria, Hari R., and Harshad R. Patel. "Radiation and chemical reaction effects on MHD Casson fluid flow past an oscillating vertical plate embedded in porous medium." Alexandria Engineering Journal 55, no. 1 (2016): 583-595. https://doi.org/10.1016/j.aej.2016.01.019

Aman, Sidra, Syazwani Mohd Zokri, Zulkhibri Ismail, Mohd Zuki Salleh, and Ilyas Khan. "Effect of MHD and porosity on exact solutions and flow of a hybrid Casson-nanofluid." Journal of Advanced Research in Fluid Mechanics and Thermal Sciences 44, no. 1 (2018): 131-139.

Mohan, S. Rama, G. Viswanatha Reddy, and S. Balakrishna. "An unsteady MHD free convection flow of casson fluid past an exponentially accelerated infinite vertical plate through porous media in the presence of thermal radiation, chemical reaction and heat source or sink." International Journal of Engineering and Techniques 4, no. 4 (2018): 16-27.

Deka, Anjan Kumar. "In presence of thermal radiation through porous medium unsteady MHD Casson fluid flow past an accelerated vertical plate." International Journal of Statistics and Applied Mathematics 5, no. 4 (2020): 213-228.

Downloads

Published

2021-07-29

How to Cite

Mod Omar, N. F. ., Osman, H. I. ., Mohamad, A. Q. ., Jusoh, R. ., & Ismail, Z. (2021). Effects of radiation and magnetohydrodynamic on unsteady Casson fluid over accelerated plate. Journal of Advanced Research in Fluid Mechanics and Thermal Sciences, 85(1), 93–100. https://doi.org/10.37934/arfmts.85.1.93100

Issue

Section

Articles

Most read articles by the same author(s)