Research Article Mixed Convection Flow of Magnetic Viscoelastic Polymer from a Nonisothermal Wedge with Biot Number Effects S. Abdul Gaffar, 1 V. Ramachandra Prasad, 2 Bhuvana Vijaya, 1 and O. Anwar Beg 3 1 Department of Mathematics, Jawaharlal Nehru Technological University Anantapur, Anantapur 515002, India 2 Department of Mathematics, Madanapalle Institute of Technology and Science, Madanapalle 517325, India 3 Gort Engovation Research (Aerospace and Medical Engineering), 11 Rooley Corf, Bradford BD6 1FA, UK Correspondence should be addressed to S. Abdul Gafar; abdulsgafar0905@gmail.com Received 4 May 2015; Revised 5 September 2015; Accepted 6 September 2015 Academic Editor: Jos` e A. Tenereiro Machado Copyright © 2015 S. Abdul Gafar et al. 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. Magnetic polymers are fnding increasing applications in diverse felds of chemical and mechanical engineering. In this paper, we investigate the nonlinear steady boundary layer fow and heat transfer of such fuids from a nonisothermal wedge. Te incompressible Eyring-Powell non-Newtonian fuid model is employed and a magnetohydrodynamic body force is included in the simulation. Te transformed conservation equations are solved numerically subject to physically appropriate boundary conditions using a second-order accurate implicit fnite diference Keller Box technique. Te numerical code is validated with previous studies. Te infuence of a number of emerging nondimensional parameters, namely, the Eyring-Powell rheological fuid parameter (), local non-Newtonian parameter based on length scale (), Prandtl number (Pr), Biot number (), pressure gradient parameter (), magnetic parameter (), mixed convection parameter (), and dimensionless tangential coordinate (), on velocity and temperature evolution in the boundary layer regime is examined in detail. Furthermore, the efects of these parameters on surface heat transfer rate and local skin friction are also investigated. 1. Introduction Te development of modern functional materials which can be manipulated using electromagnetic felds has stimulated great attention in polymer engineering sciences in recent years. Tese materials include ferromagnetic polymers [1], magnetotropic fuids [2], and liquid crystalline electrically conducting polymers [3]. Such fuids exhibit many complex characteristics including non-Newtonian behavior. For better understanding of the manufacture of such materials, magne- torheological fuid mechanics plays a central role. Although many diferent magnetic properties may arise in such materi- als, a fundamental methodology for their synthesis involves the application of transverse magnetic felds which alters momentum transfer and therefore also infuences coupled processes such as heat transfer and mass transfer (species difusion). Many constitutive material models have been developed to simulate the departure of such fuids from Newtonian viscous behavior. In these fuids, the constitutive relationship between stress and rate of strain is nonlinear in comparison to the Navier-Stokes equations which are gen- erally good for Newtonian fuids. Most non-Newtonian models involve some form of modifcation to the momentum conservation equations. A comprehensive summary of such models which include the Maxwell model, power-law model, and also Eyring-Powell and Giesekus viscoelastic models, is provided in the treatise by Shaw [4]. Heat transfer is ofen also frequently present in polymer dynamics [5]. Furthermore, in many polymer fabrication fows, boundary layer phenomena arise. Te convective boundary condition has therefore also attracted some interest and this is usually simulated via a Biot number in the wall thermal boundary condition. Recently, Ishak [6] discussed the similarity solutions for fow and heat transfer over a permeable surface with convective boundary condition. Aziz [7] provided a similarity solution for laminar thermal boundary layer over a fat surface with a convective surface boundary condition. Aziz [8] further studied hydrodynamic and thermal slip fow boundary layers with an isofux thermal boundary condition. Buoyancy efects Hindawi Publishing Corporation International Journal of Engineering Mathematics Volume 2015, Article ID 287623, 15 pages http://dx.doi.org/10.1155/2015/287623