RESEARCH ARTICLE Mathematical analysis on MHD Prandtl‐Eyring nanofluid new mass flux conditions Khalil Ur Rehman 1 | Muhammad Awais 2 | Arif Hussain 2 | Nabeela Kousar 1 | Muhammad Yousaf Malik 2 1 Department of Mathematics, Air University, Islamabad, Pakistan 2 Department of Mathematics, Quaid‐i‐ Azam University, Islamabad, Pakistan Correspondence Khalil Ur Rehman, Department of Mathematics, Air University, PAF Complex E‐9, Islamabad 44000, Pakistan. Email: krehman@math.qau.edu.pk MOS Classification: 76D10; 34B05; 65L12 A speculative investigation has been presented to explore the salient features of magnetohydrodynamic (MHD) Prandtl‐Eyring nanofluid over stretching surface. Effects of Navier slip and convective boundary conditions are included in flow configuration. The effects of higher order chemical reactions along with Nield conditions are assumed in the concentration of nanoparticles. The mathematical modelling of the said flow problem accomplished the nonlinear partial differen- tial equations along with appropriate boundary conditions. The nondimensional form of governing problem is yielded with the aid of similarity variables. The pivotal physical quantities, ie, velocity, temperature, and concentration (in non- dimensional form), within boundary layer region are computed with shooting technique. The physical significance of flow controlling parameters on velocity, temperature, and concentration is illustrated through graphs. Additionally, thermophysical aspects of fluid near stretching surface (wall friction factor, wall heat flux, and wall mass flux) are instantiated graphically. A comparison of the current solution with reported data is established to validate the accuracy of adapted procedure. It is observed that the current findings agree with existing data. This led to confidence on adapted numerical procedure. KEYWORDS convective and Nield boundary conditions, higher order chemical reactions, MHD, nanofluid, Prandtl‐Eyring fluid, slip flow 1 | INTRODUCTION Nanofluid is a recently developed fluid that comprises a base fluid along with the nanoparticles of metals. The major concern of suspending nanoparticles into base fluid is to enlarge the capability of heat conductance, because mostly the traditionally utilized fluids for the heat transfer are less ability of heat conductance. Before the invention of nanofluid, a lot of experiment had been performed like geometry of problem has been changed or metallic particles of milli or micro size are inserted, but the desired results are not achieved. Then Choi et al 1,2 performed the successful experiment by adding nanoparticles in base fluid and surprisingly found that the nanofluids have much times larger capability of heat than their corresponding base fluids. This is considered one of the significant advancement of present day research, which drives the next major industrial revolution of this century. Over the last two decades, analysis of nanofluid flow experiences great enlargement and becomes the subject of differentiation because of widespread uses in almost every aspect of life; for example, the nanofluids are utilized as a coolant in many processes, namely, vehicles Received: 13 February 2018 DOI: 10.1002/mma.5319 Math Meth Appl Sci. 2018;1–15. © 2018 John Wiley & Sons, Ltd. wileyonlinelibrary.com/journal/mma 1