Abstract: This study examines the unsteady 3D non-axisymmetric Homann flow of an electrically conducting nanofluids in the presence of buoyancy forces. We consider the uniform external magnetic field, ??, by neglecting induced magnetic field and examines the three possible directions of ?? which coincides with the direction of axes. A similarity solution is derived which involve the dimensionless parameters ?,?,?,? and ?. We have treated the case for forced convection when ?=0 which arise from the singularity ?=∓1. We found that, for large ? and ?, the leading terms of the solutions are independent of ? and ?, and the effects of ? in that solutions are negligible. Numerical results are found for illustrative values of all the flow parameters by using bvp4c scheme in MATLAB. The critical values ?? of ? are seen in opposing flow for small rate of deceleration parameter ? while it changes to assisting flow for large value of ?.
Keywords: Unsteady stagnation point flow; mixed convection; nanofluids; MHD flow; non-axisymmetric flow.

Biography: Dr. Sohail Nadeem is working as a Tenured Professor and Chairman of Mathematics Department of Quaid-i-Azam University. He is very outstanding in research. His research areas include Peristaltic motion, blood flow through stenosis arteries, Computational techniques, Newtonian and non-Newtonian fluids, Stretching and shrinking phenomena’s, stagnation flows, and analytical techniques to solve highly nonlinear differential equations. The main area of Dr. Nadeem is applied mathematics. He has considered highly nonlinear physical problems of applied nature and obtains their exact, analytical and numerical solutions. He is an expert of number of analytical and numerical techniques. Dr. Sohail Nadeem has published / accepted more than 500 research papers in international journals of high impact factor. Most of his research papers have been published in USA, UK, Germany and Netherlands etc. His impact factor is greater than 700 and citations are over 14000. He has received University merit fellowship during M.Phil and got Razi-ud-Din fellowship during Ph.D. studies. He is recipient of Razi-ud-Din gold medal by Pakistan Academy of Sciences for the year 2008 and regular recipient of productivity awards since 2006 (Category A 2011-2017) which are given on the basis of research for every year in Pakistan to the top scientists of the Country and got Seven PCST Awards. According to PCST data 2018, he is included in the list of top 4 best scientists of Pakistan. In 2011, president of Pakistan has awarded him Tamgha-i-Imtiaz. Dr. Nadeem got prestigious Salam Prize for the year 2012 from TWAS, Italy. He is also selected as TWAS (Third world Academy of Sciences) young fellow for the years 2011-2016 and member Pakistan Academy of Sciences in 2012. In 2013, due to his best research outcomes HEC has awarded him the Best Young Researcher award for the year 2011. In 2016, he got PAS gold medal in mathematics for the year 2016 from Pakistan Academy of Sciences and Best University teacher award from the HEC. Recently He become the Fellow Pakistan Academy of Sciences. He is the member editorial board of five ISI international journals and active reviewer hundereds of international journals. He has active research collaboration with professors of leading universities of USA, Canada, Korea, Turkey and Germany etc.. In 2011, he had been invited to visit the Department of Computational Sciences and Engineering, Yonsei University South Korea where he developed active research collaboration with the leading Professors of South Korea specially; Prof. Changhoon Lee and Prof. Jinho Lee. His research work has wide applications in engineering sciences, food engineering, oil exploration, earth quake engineering chemical engineering, mechanical engineering peristaltic motion and bio-mechanics etc.
In addition to his research work he is very excellent teacher. He has successfully supervised more than 90 M. Phil students and produced 25 Ph.D’s further the foreign reports of two more students are received and positive. Moreover, currently 5 Ph.D. students and 07 M. Phil students are working under his supervision.