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Magnetohydrodynamic Stagnation Point Flow with a Convective Surface Boundary Condition Khamisah Jafara, Anuar Ishakb, and Roslinda Nazarb a Faculty of Engineering and Built Environment, Universiti Kebangsaan Malaysia, 43600 UKM Bangi, Selangor, Malaysia b School of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, 43600 UKM Bangi, Selangor, Malaysia Reprint requests to A. I.; E-mail: anuarishak@yahoo.com Z. Naturforsch. 66a, 495 – 499 (2011) / DOI: 10.5560/ZNA.2011-0013 Received December 7, 2010 / revised March 15, 2011

Stagnation-Point Flow over an Exponentially Shrinking/Stretching Sheet Sin Wei Wonga, Md. Abu Omar Awanga, and Anuar Ishakb a Institute of Mathematical Sciences, Faculty of Science, University of Malaya, 50603 Kuala Lumpur, Malaysia b School of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, 43600 UKM Bangi, Selangor, Malaysia Reprint requests to A. I.; E-mail: anuarishak@yahoo.com Z. Naturforsch. 66a, 705 – 711 (2011) / DOI: 10.5560/ZNA.2011-0037 Received March 25, 2011 / revised June 28, 2011 The steady two

T. Hayat, Zakir Hussain, M. Farooq*, A. Alsaedi and Mustafa Obaid Thermally Stratified Stagnation Point Flow of an Oldroyd-B Fluid Abstract: This paper is devoted to examine the thermally stratified mixed convection flow of an Oldroyd-B fluid. The stagnation point flow towards a stretching surface is discussed. The boundary layer flow and energy equations are employed. Resulting partial differential systems are converted into the ordinary differential systems. Conver- gent series solutions for velocity and temperature are de- veloped and analyzed. Numerical

industries, design of heat exchangers, and crystalline materials. Mukhopadhyay [1] analyzed the boundary layer flow and heat transfer over a stretching cylinder under the influence of uniform magnetic field and slip condition. Turkyilmazoglu [2] investigated the three-dimensional flow of electrically conducting viscous fluid induced by a stretching rotating disk. Bhattacharyya [3] examined the unsteady stagnation point flow caused by shrinking/stretching sheet. Rashidi et al. [4] analyzed the magnetohydrodynamic (MHD) and heat and mass transfer effects in flow over a

Homotopy Solution for Non-Similarity Boundary-Layer Flow near a Stagnation Point Xiangcheng You and Hang Xu State Key Lab of Ocean Engineering, School of Naval Architecture, Ocean and Civil Engineering, Shanghai Jiao Tong University, Shanghai 200240, China Reprint requests to X. Y.; E-mail: xcyou@sjtu.edu.cn Z. Naturforsch. 65a, 161 – 172 (2010); received March 23, 2009 / revised July 3, 2009 In this paper, non-similarity boundary-layer flow of a Newtonian fluid near an asymmetric plane stagnation point with a dimensionless external flow velocity ue = x/(x + 1

efforts to examine the solutions for the equations which govern the flow over a rotating disk. In 1970, Alfven [ 13 ] was the first person who used the term of magnetohydrodynamic (MHD). Later, Turkyilmazoglu [ 14 ] analyzed the three dimensional stagnation point flow of an electrically conducting fluid occurring as a result of stretchable rotating disk and also taking magnetic field effect into account. The effect of an external uniform magnetic field on the fluid flow over a disk surface with heat transfer characteristics was determined in [ 15 , 16 ]. A great extent

during the convection of nanofluids. He concluded that nanofluids contribute in an upsurge of heat transfer coefficient in the turbulent region because of the deviation of thermophysical properties within the boundary layer affected by thermopohoresis and temperature gradient. The Brownian motion and the thermophoresis effect on the slip flow of alumina/water nanofluid inside a circular microchannel in the presence of a magnetic field were examined by Malvandi and Ganji [ 10 ]. The stagnation-point flow of a fluid past a stretching sheet has been given much attention

S. Nadeem*, M. A. Sadiq, Jung-il Choi and Changhoon Lee Exponentially Stagnation Point Flow of Non-Newtonian Nanofluid over an Exponentially Stretching Surface Abstract: The steady stagnation point flow of Jeffrey nanofluid over an exponential stretching surface under the boundary layer assumptions is discussed analytically. The transport equations include the effects of Brownian motion and thermophoresis. The boundary layer coupled partial differential equations of Jeffrey nanofluid are sim- plified with the help of suitable semi-similar transforma- tions. The

1 Introduction In the history of fluid dynamics, considerable attention has been given to the study of stagnation-point flows because of their importance in many engineering and industrial processes. The applications of these jet-like flows impinging on the surface include the annealing of metals and cooling in grinding processes, gas turbine blades, and photovoltaic cells. The process of surface cleaning, wire coating, and finishing of metal strips depends on the shear stress induced by the impinging fluids. In a stagnation-point flow, the fluid impinges on the

Thermal Radiation Effects on the Mixed Convection Stagnation-Point Flow in a Jeffery Fluid Tasawar Hayata,b, Sabir Ali Shehzada, Muhammad Qasima, and Saleem Obaidatb a Department of Mathematics, Quaid-I-Azam University 45320, Islamabad 44000, Pakistan b Department of Mathematics, College of Sciences, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi Arabia Reprint requests to M. Q.; Tel: +92 51 90642172; E-mail: mq qau@yahoo.com Z. Naturforsch. 66a, 606 – 614 (2011) / DOI: 10.5560/ZNA.2011-0024 Received September 27, 2010 / revised June 7, 2011 This study