Research Article Interaction of Magnetic Field and Nonlinear Convection in the Stagnation Point Flow over a Shrinking Sheet Rakesh Kumar and Shilpa Sood Department of Mathematics, Central University of Himachal Pradesh, TAB, Shahpur, Kangra, Himachal Pradesh 176206, India Correspondence should be addressed to Rakesh Kumar; rakesh.lect@gmail.com Received 27 November 2015; Revised 26 March 2016; Accepted 28 March 2016 Academic Editor: Yuanxin Zhou Copyright © 2016 R. Kumar and S. Sood. Tis is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. Te steady two-dimensional boundary layer stagnation point fow due to a shrinking sheet is analyzed. Te combined efects of magnetic feld and nonlinear convection are taken into account. Te governing equations for the fow are modeled and then simplifed using the similarity transformation and boundary layer approach. Te numerical solution of the reduced equations is obtained by the second-order fnite diference scheme also known as Keller box method. Te infuence of the pertinent parameters of the problem on velocity and temperature profles, skin friction, and sheet temperature gradient are presented through the graphs and tables and discussed. Te magnetic feld and nonlinear convection parameters signifcantly enhance the solution range. 1. Introduction Te analysis of the hydromagnetic fow over stretching or shrinking surfaces is very demanding due to wide range of its applications in industry, physics, and engineering sciences including bioengineering. Te impact of magnetic feld on the fow of an electrically conducting viscous fuid fnds its applications in purifcation of crude oil, glass manufacturing, paper production, polymer sheets, MHD electrical power generation, magnetic material processing, and so forth [1]. Moreover, the fnal product relies on the rate of cooling, which is decided by the confguration of the boundary layer near the stretching/shrinking sheet. Chakrabarti and Gupta [2] investigated the hydromagnetic fow and heat transfer over a stretching surface. Zhang and Wang [3] presented a rigorous mathematical analysis to analyze the MHD fow of power law fuid over a stretching sheet. Te axially symmetric stagnation point fow of an electrically conducting fuid under transverse magnetic feld was examined by Kakutani [4]. An analysis for three-dimensional stagnation point fow over a stretching surface was made by Attia [5] considering magnetic feld and heat generation. Ali et al. [6] extended the above paper by considering the induced magnetic feld. Recently, Ali et al. [7] have reported on the efects of mixed convection parameter and magnetic feld over a vertical stretching sheet in the neighborhood of the stagnation point. Mahapatra et al. [8] investigated the MHD stagnation point fow of power law fuid over a sheet which is stretching in its own plane with a velocity proportional to the distance from the stagnation point. Very recently, Khan et al. [9] analyzed the thermodifusion efects on the MHD stagnation point fow of nanofuid over a stretching sheet. Hayat et al. [10] investigated the stagnation point fow on a non-Newtonian fuid over a stretching sheet. Some signifcant aspects of the MHD stagnation point fow over stretching surfaces can be found in Hayat et al. [11], Shateyi and Makinde [12], Ibrahim et al. [13], Mahapatra and Gupta [14], Ishak et al. [15], and so forth. In recent times, the researchers are attracted towards the fow over shrinking surfaces. Tese fows are diferent from the fow over stretching surfaces in many ways. In shrinking sheet problems, the surface of the sheet is stretched towards a slot and hence generating a velocity away from the sheet. Terefore, the generated vorticity does not remain within the boundary layer and the fow will be unlikely to exist [16]. Wang [17] confrmed that the solutions can be found only for small shrinking rates and multiple solutions may exist for two-dimensional cases. Mahapatra and Nandy [18] were the researchers who analyzed that if suitable suction or stagnation point is added, then the vorticity can be controlled and the similarity solution will exist. Moreover, the Hindawi Publishing Corporation Journal of Engineering Volume 2016, Article ID 6752520, 8 pages http://dx.doi.org/10.1155/2016/6752520