Arrhenius Activation and Zero Mass Flux Conditions on Nonlinear Convective Jeffrey Fluid over an Electrically Conducting
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RESEARCH ARTICLE-MECHANICAL ENGINEERING
Arrhenius Activation and Zero Mass Flux Conditions on Nonlinear Convective Jeffrey Fluid over an Electrically Conducting and Radiated Sheet S. Mamatha Upadhya1 · S. Suresh Kumar Raju2 · C. S. K. Raju3 · Chokri Mnasri2 Received: 19 December 2019 / Accepted: 30 May 2020 © King Fahd University of Petroleum & Minerals 2020
Abstract The forthright intention of the present investigation is to analyze the up-to-date progress in Jeffrey nanofluid flow past an electromagnetic sheet by utilizing the properties of nonlinear convection, radiation, convective boundary condition, zero mass flux condition and Arrhenius activation energy. The flow equations are transformed by applying appropriate transformations into a pair of self-similarity equations. Further similarity equivalences are numerically solved through Runge–Kutta-based shooting method. Graphs and tables are structured to analyze the behavior of sundry influential variables. The results acquired showed good agreement with the previous notable works. Through this study we observed that improvement in Lorentz force in the positive x-direction strengthens the momentum, which intensifies the transfer of heat energy from the boundary, resulting in reduced fluid temperature. Keywords Buongiorno nanofluid · Jeffrey fluid · Electromagnetic sheet · Nonlinear convection · Arrhenius activation energy · Convective boundary condition List of symbols x, y, z Cartesian coordinate system (m) u, v, w Velocity components of fluid phase in x, y, z directions (m/s) u∞ Ambient fluid velocity (m/s) T Temperature of the nanofluid (K) C Nanoparticle concentration (kg/m3) * S. Suresh Kumar Raju [email protected] S. Mamatha Upadhya [email protected] C. S. K. Raju [email protected] Chokri Mnasri [email protected] 1
Department of Mathematics, Kristu Jayanti College, Autonomous, PO, K. Narayanapura, Kothanur, Bengalore, Karnataka 560077, India
2
Department of Mathematics and Statistics, College of Science, King Faisal University, Al Hufuf 31982, Saudi Arabia
3
Department of Mathematics, GITAM Deemed to be University, Bengaluru‑Campus, Nagadenahalli, Bengalore, Karnataka 562163, India
T∞ Free stream temperature (K) Tf Convective surface temperature (K) kf Thermal conductivity of base fluid (W/mK) hf Heat transfer coefficient associated with the convection fluid (W/m2K) 𝜐f Kinematic viscosity of the base fluid (m2/s) g Acceleration due to gravity (m/s2) j0 Current density (A/m2) M0 Magnetization of permanent magnets (A/m) p Width of magnets and electrodes (m) 𝛽1 Linear thermal expansions coefficients (K) 𝛽2 Nonlinear thermal expansions coefficients (K) 𝜆1 Ratio of relaxation to retardation times 𝜆2 Retardation time (s) DB Brownian diffusion coefficient (m2/s) DT Thermophoretic diffusion coefficient 𝜌nf Density of the nanofluid (kg/m3) 𝜌f Density of the base fluid (kg/m3) 𝜌s Density of the nanoparticle (kg/m3) 𝜇f Dynamic viscosity of the base fluid (Ns/m2) 𝜇nf Dynamic viscosity of the nanofluid (Ns
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