Defect and Diffusion Forum Submitted: 2017-10-09 ISSN: 1662-9507, Vol. 384, pp 21-30 Revised: 2018-02-11 doi:10.4028/www.scientific.net/DDF.384.21 Accepted: 2018-02-12 © 2018 Trans Tech Publications, Switzerland Online: 2018-05-08 Effect of Suction/Injection on the Entropy Generation of Third Grade Fluid with Convective Cooling Abiodun A. Opanuga1,a*, Jacob A. Gbadeyan2,b, Olasunmbo O. Agboola1,c, Hilary I. Okagbue1,d 1Department of Mathematics, College of Science & Technology, Covenant University, Ota, Nigeria. 2Department of Mathematics, Faculty of Physical Science, University of Ilorin, Ilorin, Nigeria *aabiodun.opanuga@covenantuniversity.edu.ng, bj.agbadeyan@yahoo.com, cola.agboola@covenantuniversity.edu.ng, dhilary.okagbue@covenantuniversity.edu.ng Keywords: Suction/injection, convective cooling, third grade fluid, entropy generation, Adomian decomposition method. Abstract: Effect of suction/injection on the rate of entropy generation of third grade fluid with convective cooling is analysed in this work. The highly non-linear boundary value problems obtained from the governing equations are solved by Adomian decomposition method (ADM). Some plots are presented to explain the influence of pertinent parameters on fluid motion, temperature, entropy generation and irreversibility ratio. From the results it is shown that suction/injection and third grade fluid parameters reduce fluid velocity across the channel, and increase in suction/injection parameter enhances fluid temperature while convective cooling parameter reduces it. Entropy generation is enhanced by suction/injection parameter at the lower wall but reduces it at the upper wall. References [1]. T. Hayat, F. Shahzad, M. Ayub Analytical solution for the steady flow of the third grade fluid in a porous half space, Applied Mathematical Modelling, 31 (2007): 2424–2432 [2]. T. Hayata, A.H. Kara Couette flow of a third-grade fluid with variable magnetic field, Mathematical and Computer Modelling, 43 (2006): 132–137 [3]. T. Hayat, A. Shafiq, M. Nawaz, A. Alsaed, MHD axisymmetric flow of third grade fluid between porous disks with heat transfer, Appl. Math. Mech. (Engl. Ed)., 33(6): 749–764 (2012). DOI 10.1007/s10483-012-1584-9 [4]. T. Hayat, R. Ellahi, F. M. Mahomed, The Analytical Solutions for Magnetohydrodynamic Flow of a Third Order Fluid in a Porous Medium, Z. Naturforsch, 64a (2009):531 – 539 [5]. S.O. Adesanya, Second law analysis for third-grade fluid with variable properties, Journal of Thermodynamics, Volume 2014, Article ID 452168, 8 pages. http://dx.doi.org/10.1155/2014/452168 [6]. S.O. Adesanya, O.D. Makinde, Thermodynamic analysis for a third grade fluid through a vertical channel with internal heat generation, Journal of Hydrodynamics, 27(2)(2015): 264-272.