%0 Journal Article
%T The Effect of Heat Transfer on MHD Marangoni Boundary Layer Flow Past a Flat Plate in Nanofluid
%A D. R. V. S. R. K. Sastry
%A A. S. N. Murti
%A T. Poorna Kantha
%J International Journal of Engineering Mathematics
%D 2013
%R 10.1155/2013/581507
%X The problem of heat transfer on the Marangoni convection boundary layer flow in an electrically conducting nanofluid is studied. Similarity transformations are used to transform the set of governing partial differential equations of the flow into a set of nonlinear ordinary differential equations. Numerical solutions of the similarity equations are then solved through the MATLAB ˇ°bvp4cˇ± function. Different nanoparticles like Cu, Al2O3, and TiO2 are taken into consideration with water as base fluid. The velocity and temperature profiles are shown in graphs. Also the effects of the Prandtl number and solid volume fraction on heat transfer are discussed. 1. Introduction The convection induced by the variations of the surface tension gradients is known as the Marangoni convection. This convection has received great consideration in view of its application in the fields of welding and crystal growth. Also this convection is necessary to stabilize the soap films and drying silicon wafers. During the study of the existence of the steady dissipative layers which occur along the liquid-liquid or liquid-gas interfaces, Napolitano [1] first called the boundary layer as the Marangoni boundary layer. Many researchers such as Okano et al. [2], Christopher and Wang [3], Pop et al. [4] and Magyari and Chamkha [5] have investigated the Marangoni convection in various geometries. Al-Mudhaf and Chamkha [6] obtained the similarity solution for the MHD thermosolutal Marangoni convection over a flat surface in the presence of heat generation or absorption with fluid suction and injection. Chen [7] investigated the flow and the heat transfer characteristics on the forced convection in a power law liquid film under an applied Marangoni convection over a stretching sheet. In recent years, the study on convective transport of nanofluids has become one of the popular topics of interest. Nanotechnology takes important part for the development of high performance, compact, and cost-effective liquid cooling systems. Moreover, nanofluids have effective applications in many industries such as electronics, transportation, biomedical, and many more. Nanotechnology has been an ongoing topic of discussion in public health as some of the researchers claimed that nanoparticles could present possible dangers in health and environment. Jang and Choi [8] have introduced nanosized particle in a base fluid, which is also termed nanofluid, for the first time. Arifin et al. [9] have examined the influence of nanoparticles on the Marangoni boundary layer flow using a model proposed by Tiwari and
%U http://www.hindawi.com/journals/ijem/2013/581507/