Exact and Numerical Solutions for MHD Boundary Layer Flow of Casson Fluid Over a Stretching Sheet
Venkata Subba Rao M1, Gangadhar K.2, A. Srinivasa Rao3
1Venkata Subba Rao M, Department of Sciences & Humanities, Vignan’s Foundation for Science, Technology and Research, Vadlamudi (Andhra Pradesh), India.
2Gangadhar K, Department of Mathematics, Acharya Nagarjuna University, Ongole (Andhra Pradesh), India.
3A.Srinivasa Rao, Department of Sciences & Humanities, Vignan’s Foundation for Science, Technology and Research, Vadlamudi (Andhra Pradesh), India.
Manuscript received on 25 November 2019 | Revised Manuscript received on 19 December 2019 | Manuscript Published on 30 December 2019 | PP: 206-211 | Volume-9 Issue-1S5 December 2019 | Retrieval Number: A10531291S52019/19©BEIESP | DOI: 10.35940/ijeat.A1053.1291S519
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© The Authors. Blue Eyes Intelligence Engineering and Sciences Publication (BEIESP). This is an open access article under the CC-BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/)
Abstract: The present examination is considered to research the steady, boundary layer flow of Casson fluid over a stretching sheet by taking into consideration of suction and injection effects. External magnetic field which is uniform is act on the present model. In fact the nonlinear differential equations are derived from the present flow by utilizing the appropriate transformations. Thereafter exact and numerical solutions are obtained. Impacts of flow influenced parameters of present study for instance Casson fluid parameter, magnetic parameter, suction and injection are analyzed by means of graphs and tables. After that, numerical outcomes which are get hold of by the convergent technique i.e. fourth order Runge-Kutta method with shooting technique and exact solutions are validated by comparing the existing literature. From this comparison there exist a good correlation between present analysis and literature. The outcomes demonstrate that mainly, velocity of the fluid is diminished for increasing estimations of Casson fluid parameter and impact of parameter of magnetic field.
Keywords: Casson Fluid, MHD, Natural Convection, Exact Solution, Fourth Order Runge-Kutta Method with Shooting Method, Stretching Sheet.
Scope of the Article: Numerical Modelling of Structures