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Mathematical analysis on MHD Prandtl‐Eyring nanofluid new mass flux conditions
Author(s) -
Rehman Khalil Ur,
Awais Muhammad,
Hussain Arif,
Kousar Nabeela,
Malik Muhammad Yousaf
Publication year - 2018
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.5319
Subject(s) - nanofluid , prandtl number , magnetohydrodynamic drive , mechanics , magnetohydrodynamics , mass flux , boundary value problem , heat flux , boundary layer , flow (mathematics) , thermodynamics , mathematics , physics , convection , mathematical analysis , heat transfer , magnetic field , quantum mechanics
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 differential 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 nondimensional 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.