Dual Solutions for MHD Slip Flow of Nanofluid in the presence of Nonlinear Radiation

Abstract

In modern research era, convectional heat transfer uids like water, kerosene, engine oil and acetone assume a crucial part in numerous industrial segments including power generation, manufacturing and transportation, chemical production, air-conditioning and microelectronics. On the other hand, because of their low thermal conductivity they have restricted heat transfer capabilities. Recently, scientists are curious to develop di⁄erent methods to increase their heat transfer performance. One of such methods to overcome this limitation is to improve thermal conductivity of conventional uids via suspensions of nanoparticles in base uids and led to generate a new composite called "nanouids". Moreover, this eld is much e¢ cient in terms of heat transfer performance. Technically, these suspensions contain the base uids and the nanoparticles with a size of 1-100 nm which are suspended in them. Current works on nanotechnology has proved that nanoparticles with diameter less than 50 nm that can change properties of the uid since thermal conductivity of nanoparticles particles was higher than convectional uids and these are widely used as heat transfer uids in thermal processes. The common nanoparticles being used are aluminum, copper, iron and titanium or their oxides. Initially, this idea was given by Choi and Eastman [1] where in they concluded that these nanouids have better conductivity and convective heat transfer coe¢ cient relative to base uids. Based on their shape, size, and thermal properties, the thermal conductivity can be enhanced by about 40% with low concentration (1-5% by volume) of solid nanoparticles in the mixture. A broad spectrum of their application includes the sterilization of medical suspensions, cooling of heat sinks, hybrid-powered engines and nuclear reactor coolant etc. The ow and heat transfer phenomena for nanouids have been a topic of much research over the past two decades. In recent years, numerous analysis have assessed the properties and impact of nanouids on the heat transfer change in thermal systems. After the work of Choi and Eastman [1], numerous endeavors in this eld have been accomplished to formulate the heat and transfer characteristics of nanouid ows. In 2006, Buongiorno [2] presented a comprehensive study concerning the heat transport in nanouids and in his work he found an extraordinary rise in the thermal conductivity of nanouids. After that, Khan and Pop [3] have broken down the boundary layer ow of a nanouid over a stretching surface. This was probably the rst attempt to ponder the ow of nanouids over stretching sheet by utilizing a model in which the Brownian motion and thermophoresis impacts were considered. A 1 theoretical analysis has been done by Makinde and Aziz [4] to investigate the impact of convective heat transfer on the ow of nanoparticle past a stretching sheet. Nadeem and Haq [5] extended the work of Khan and Pop [3] by taking the e⁄ects of thermal radiation and convective boundary conditions for ow of nanouids. Mixed convection ow of Casson nanouids past a stretching cylinder including the magnetic eld and temperature dependent thermal conductivity has been examined by Hayat et al. [6]: Furthermore, Hashim and Khan [7] numerically investigated the heat and mass transfer analysis in the ow of Carreau nanouids. In this article, they utilized the revised model for nanouids and solutions are obtained with the help of Runge-Kutta numerical technique. A steady three-dimensional ow of Burgers nanouid over a bidirectional stretching surface is deliberated by Khan et al.