Research Article Magneto Jeffrey Nanofluid Bioconvection over a Rotating Vertical Cone due to Gyrotactic Microorganism S. Saleem , 1 Hunza Rafiq, 2 A. Al-Qahtani, 1 Mohamed Abd El-Aziz , 1,3 M. Y. Malik, 1 and I. L. Animasaun 4 1 Department of Mathematics, College of Sciences, King Khalid University, Abha 61413, Saudi Arabia 2 Department of Sciences and Humanities, National University of Computers and Emerging Sciences, Lahore 54000, Pakistan 3 Department of Mathematics, Faculty of Science, Helwan University, Helwan, Cairo 11975, Egypt 4 Department of Mathematical Sciences, Federal University of Technology, Akure, Nigeria Correspondence should be addressed to S. Saleem; saakhtar@kku.edu.sa Received 1 March 2019; Revised 10 April 2019; Accepted 11 April 2019; Published 12 May 2019 Academic Editor: Sergey A. Suslov Copyright © 2019 S. Saleem et al. Tis is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. Te particular inquiry is made to envision the behavioral characteristics of gyrotactic microorganism efects on the MHD fow of Jefrey nanofuid. Together the nanoparticles and motile microorganism are inducted into the modeled nonlinear diferential equations. Te optimal solutions for the governing equations are tackled by optimal homotopy analysis method. Te physical characteristics of the relatable parameters are explored and deliberated in terms of graphs and numerical charts. Also, the precision of the present fndings is certifed by equating them with the previously published work. It is explored that rescaled density of the motile microorganisms contracts with bioconvection Peclet number . It is seen that bioconvection Rayleigh number  shrinks the magnitude of tangential velocity. Also, bioconvection Schmidt number  augments the reduced density number of the motile microorganisms. 1. Literature Survey Non-Newtonian fuid mechanics is a subject which is essen- tially interdisciplinary in its nature and which is also wide in its area of application. Indeed, non-Newtonian behavior comes across mostly in organic and allied processing engi- neering. It is too useful in the excavating industry, where slurries and muds are controlled, and in applications like lubrication and biomedical fow phenomena. Te imitation of nonlinear fuid fow occurrences is thus of signifcance to engineering. Everyday uses of specifc fows are established in freezing progressions where a coolant is executed on continuously moving surface. Non-Newtonian fuids along heat and mass transfer are correspondingly crucial in food dispensation, heavy oils, and lubricants [1–5]. An important area of study is mixed convectional fows, which occurs in atmospheric boundary layer fows, heat exchangers, solar collectors, and nuclear reactors. It estab- lishes in a condition wherever the impacts of buoyantic forces due to forced convection turn to be considerable. In this existing efort, a cone is placed in a nonlinear fuid through the cone axis together with the outer fow is explored. Heat transfer analysis with combined convective fow about rotating cone-shaped tool is splendidly common in automobile and biochemical productions. Hering and Grosh [6] have conferred a variety of similarity solutions for cone shaped bodies in detail. Anilkumar and Roy [7] achieved the self-similar solutions for time dependent fow over a rotating cone. Nadeem and Saleem [8] deliberated a theoretical analysis for MHD fow above a spinning cone. Te fow over conic shape objects has been studied by various investigators [9–12]. In emerging world, study of nanofuids has extended too much consideration by the investigators because of its features to improve the thermal conductivity relative to base fuids. It was suggested by Choi [13]. Nanofuids have been found to possess enhanced thermos-physical properties such as viscosity, thermal conductivity, thermal difusivity, and Hindawi Mathematical Problems in Engineering Volume 2019, Article ID 3478037, 11 pages https://doi.org/10.1155/2019/3478037