Effects of Nanofluid on Peristaltic Flow of a Carreau Fluid Model in an Inclined Magnetic Field Safia Akram Department of Basic Sciences, MCS, National University of Sciences and Technology, Rawalpindi, Pakistan In the present article we talk about the influence of a nanofluid on the peristaltic flow of a Carreau fluid model in the presence of an inclined channel and magnetic field. The mathematical modeling of the proposed problem is given for the two- dimensional and directional flow. The governing highly nonlinear coupled equations are simplified by means of the assumptions of long wavelength and low Reynolds number approximation. The solutions of the simplified coupled nonlinear equations are calculated using an analytical approach. At the end, graphical results are displayed to show the effects of various emerging parameters of interest. © 2013 Wiley Periodicals, Inc. Heat Trans Asian Res, 43(4): 368–383, 2014; Published online 3 October 2013 in Wiley Online Library (wileyonlinelibrary.com/journal/htj). DOI 10.1002/htj.21082 Key words: nanofluid, Carreau fluid, peristaltic flow, inclined channel, magnetic field 1. Introduction The theory of nanofluids has the interest of researchers due to its applications in sciences and industry. Nanofluids are an emergent mixture which consists of solid particles distributed in conventional heat transfer base fluids. Base fluids (like water, ethylene glycol, etc.) have the ability to increase the effective thermal conductivity of nanofluids. The first analysis on nanofluids was given by Choi [1]. The convective performance of a CuO/water nanofluid in an electronic heat sink was studied by Selvakumar and Suresh [2]. In their inspection they pointed out that nanoparticles dispersed in the base fluids have overcome the limitations of micron-sized particles. The axisymmetric mixed convection boundary layer flows past a vertical cylinder in a nanofluid have been examined by Grosan and Pop [3]. Yacob et al. [4] have examined the Falkner–Skan problem for a static and moving wedge with a prescribed surface heat flux in a nanofluid. Numerous other researchers have also carried out similar work [5–10]. The study of peristaltic flow is another important area which has recently attracted the attention of many researchers. Peristalsis is basically a mechanism which is produced by successive waves of contractions which pushes their fluid (or fluid-like contents) forward. The first investigation was done by Latham [11]. Numerous researchers have discussed the peristaltic flows of Newtonian and non-Newtonian fluids with different flow geometries [12–17]. Akram and Nadeem [18] have © 2013 Wiley Periodicals, Inc. Heat Transfer—Asian Research, 43 (4), 2014 368