Document Type : Research Paper


1 Department of Mathematics, Jawaharlal Nehru Technological University Anantapur, College of Engineering, Pulivendula -516 390 Andhra Pradesh.

2 Department of Mathematics, Sri Vidyanikethan Engineering College, Tirupati- A.P.

3 Department of Mathematics, SVEC, Tirupati, A.P.


In this study, effects of numerous physical quantities like dissipation, thermal radiation, and induced magnetic field on magnetohydrodynamic Casson fluid flow through a vertical plate is addressed. The non-dimensional multivariable governing equations are solved numerically by by means of Runge-Kutta method along with shooting technique. The behavior of velocity, temperature and induced magnetic fields for different physical aspects is discussed through graphical illustrations. The influence of physical constants like Casson fluid (β), Magnetic parameter Μ, Soret number Sc, Prandtl number Pr, Magnetic Prandtl number etc., on induced magnetic field, temperature and velocity is analyzed. Interesting observation of this study is that the effect of velocity distribution obeys the physical nature of well-known Newtonian and all other Non-Newtonian fluids. 

Graphical Abstract

MHD Casson fluid flow through a vertical plate


Main Subjects

[1] F. M. Ali, R. Nazar, N.M. Arfin and I. Pop., “MHD stagnation-point flow and heat transfer towards stretching sheet with induced magnetic field”, Appl. Math. Mech. Engl. Ed., Vol. 32, No.4, pp. 409–418, (2011).


[2] A. Raptis and C. V. Massalas, “Magnetohydrodynamic flow past a plate in the presence of radiation”, Heat Mass Transfer, Vol. 34, No. 2, pp. 107–109, (1998).


[3] Mohamed Abd El-Aziz and Ahmed A. Afify, “Influences of Slip Velocity and Induced Magnetic Field on MHD Stagnation-Point Flow and Heat Transfer of Casson Fluid over a Stretching Sheet”, Hindawi Mathematical Problems in Engineering, Article ID 9402836, Pp.1- 11, (2018).


[4] A. Raptis, “Effects of thermal radiation on the MHD flow past a vertical plate”, Journal of Engineering Thermo physics, Vol.26, No.1, pp.53–59, (2017).


[5] N. Casson, “A flow equation for pigment oil-suspensions of the printing ink type”, In: Mill CC, editor. Rheology of disperse systems. Pergamon Press; pp. 84-104, (1959).


[6] S. Pramanik, “Casson fluid flow and Heat transfer past an exponentially porous stretching sheet in presence of thermal radiation”, Ain Shams Engineering of Journal, Vol.5, No.1, pp. 205–212, (2014).


[7] E. M. Arthur, I.Y. Seini and L. B. Bortteir, “Analysis of Casson fluid flow over a vertical porous surface with chemical reaction in the presence of magnetic field”, Journal of Applied Mathematics and Physics, Vol.3, pp.713-723, (2015).


[8] T. Hayat, M. Farooq and A. Alsaedi., “Thermally stratified stagnation point flow of Casson fluid with slip conditions”, International Journal of Numerical Methods for Heat & Fluid Flow, Vol. 25, No.4, pp. 724–748, (2015).


[9] G. Mahanta and S. Shaw, “3D Casson fluid flow past a porous linearly stretching sheet with convective boundary condition”, Alex. Engineering Journal, Vol.54, No.3, pp. 653–659, (2015).


[10] A. Khalid, I. Khan, A. Khan and S. Shafie, “Unsteady MHD free convection flow of Casson fluid past over an oscillating vertical plate embedded in a porous medium”, Eng. Sci. Technol. Int. J, Vol. 18, No. 3, pp. 309-317, (2015).


[11] D. Pal and G. Manda, “MHD convective stagnation-point flow of nano fluids over a non-isothermal stretching sheet with induced magnetic field”, Meccanica., Vol.50, No. (8), pp. 2023–2035, (2015).


[12] P. Bala Anki Reddy, “MHD flow of a Casson fluid over an exponentially inclined permeable stretching surface with thermal radiation and chemical reaction”, Ain Shams Engineering Journal, Vol.7, pp.593–602, (2016).


[13] C. S. K. Raju, N. Sandeep, V. Sugunamma, V. M. Jayachandra babu and J.V Ramana reddy, “Heat and mass transfer in magneto hydrodynamic Casson fluid over an exponentially permeable stretching surface”, Eng. Sci. Technol. Int. J, (2015).


[14]  Imran Ullah, Sharidan Shafie, and Ilyas Khan, “Effects of slip condition and Newtonian heating on MHD flow of Casson fluid over a nonlinearly stretching sheet saturated in a porous medium”, Journal of King Saud University – Science, Vol. 29, No. 2, pp.250–259, (2017).


[15] K. Bhattacharyya, “MHD stagnation-point flow of Casson fluid and heat transfer over a stretching sheet with thermal radiation”, Journal of thermo dynamics.


[16] K. Sharada, and B. Shankar, “MHD mixed convection flow of a Casson fluid over an exponentially stretching surface with the effects of soret, dufour, thermal radiation and chemical reaction”, World J. Mech., Vol. 5, pp. 165–177, (2015).


[17] K. Vajravelu, S. Sreenadh, P. Devaki and K. V. Prasad, “Peristaltic pumping of a Casson fluid in an elastic tube”, Journal of Applied Fluid Mechanics, Vol.9, No.4, pp.1897-1905, (2016).


[18] S. Oka, “An approach to unified theory of the flow behavior of time independent non-Newtonian suspensions”, Japanese Journal of Applied Physics, Vol. 10, No.3, pp. 287-291, (1971).


[19] G. Jayaraman, A. Lautier and G. Jarry, Bui-Mong-Hang and E. W. Salzman., “Numerical scheme for modelling oxygen transfer in tubular oxygenators”, Med Biol Eng Comput, Vol.19, pp.524-534, (1981).


[20] K. Venkateswara Raju, A. Parandhama, M.C. Raju and K. Ramesh Babu., “Unsteady MHD free convection Jeffery fluid flow of radiating and reacting past a vertical porous plate in Slip-flow regime with heat source” Frontiers in Heat and Mass Transfer (FHMT), Vol.10, No.25, pp.1-8, (2018).


[21] K. Venkateswara Raju, A. Parandhama, M.C. Raju and K. Ramesh Babu, “Unsteady MHD mixed convection flow of Jeffrey fluid past a radiating inclined permeable moving plate in the presence of thermophoresis heat generation and chemical reaction”, Journal of Ultra Scientist of Physical Sciences (JUSPS-A), Vol. 30, No.1, pp. 51-65, (2018).