Nonlinear Mixed Convection Impact on Radiated Flow of Nanomaterials Subject to Convective Conditions
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RESEARCH ARTICLE-MECHANICAL ENGINEERING
Nonlinear Mixed Convection Impact on Radiated Flow of Nanomaterials Subject to Convective Conditions M. Waqas1 · Ikram Ullah2 · T. Hayat2 · A. Alsaedi3 Received: 28 June 2019 / Accepted: 17 September 2020 © King Fahd University of Petroleum & Minerals 2020
Abstract The heat transportation features of current liquids are improved via suspension of nano-sized solid elements having diameter (< 100 nm), regarded as potential working liquids to utilize in automobile radiators, electronic chilling systems, solar collectors, heat pipes and nuclear reactors. The present investigation explores the simultaneous impacts of convective conditions, and stratifications in thermally radiated flow of magneto-Jeffrey nanomaterials, nonlinear convection, heat source and Joule heating are taken into account. Implementation of boundary layer theory leads to rheological model of considered problem. The relevant variables have been used to convert PDEs into ODEs. Convergent solutions are achieved through homotopic algorithm, while significance of sundry factors are provided via graphical and tabular data. We have examined reduction in liquid temperature along with concentration subject to higher thermal/concentration stratification factors. Keywords Jeffrey nanomaterial · Stratifications · Magnetohydrodynamics · Nonlinear mixed convection · Heat generation · Homotopic scheme
List of Symbols (u, v) (x, y) T Tw T∞ C Cw C∞ C0 T0 Q0 g hf
B
Velocity components and space coordinates Temperature Wall temperature Ambient fluid temperature Concentration Wall concentration Ambient fluid concentration Reference concentration Reference temperature Coefficient for absorption/generation Gravitational acceleration Heat transfer coefficient
Ikram Ullah [email protected]
1
NUTECH School of Applied Sciences and Humanities, National University of Technology, Islamabad 44000, Pakistan
2
Department of Mathematics, Quaid-I-Azam University 45320, Islamabad 44000, Pakistan
3
Nonlinear Analysis and Applied Mathematics (NAAM) Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia
hg B0 DB DT c (γ1 , γ2 ) S1 N Λ1 Λ2 (d1 , d2 ) βt cp Ha Pr Λ4 Λ3 Nt Sc S qw qm Gr G ∗r Nb
Mass transfer coefficient Magnetic field strength Coefficient of Brownian diffusion Coefficient of thermophoresis diffusion Stretching rate Thermal and concentration Biot numbers Thermal stratification variable Ratio of concentration to thermal buoyancy Linear thermal expansion coefficient Nonlinear thermal expansion coefficient Dimensional constants Nonlinear thermal convection variables Specific heat Hartmann number Prandtl number Nonlinear concentration expansion coefficient Linear concentration expansion coefficient Thermophoresis parameter Schmidt number Heat generation variable Surface heat flux Surface mass flux Grashof number for thermal buoyancy Grashof number for concentration buoyancy Brownian motion parameter
123
Arabian Journal for Science and Engineering
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