4.7 Article

Nonlinear thermal radiation in three-dimensional flow of Jeffrey nanofluid: A model for solar energy

Journal

APPLIED MATHEMATICS AND COMPUTATION
Volume 248, Issue -, Pages 273-286

Publisher

ELSEVIER SCIENCE INC
DOI: 10.1016/j.amc.2014.09.091

Keywords

Nanoparticles; Jeffrey fluid; Thermal radiation; Thermophoresis; Brownian motion

Funding

  1. Deanship of Scientific Research (DSR) King Abdulaziz University, Jeddah, Saudi Arabia [78-130-35-HiCi]

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This article explores the characteristics of thermophoresis and Brownian motion in magnetohydrodynamic three-dimensionalflowof nano Jeffrey fluid. Flow analysis is modeled in the presence of thermal radiation. The resulting stretched flow problems have been solved for the velocity, temperature and concentration. The constructed expressions depend upon ratio of relaxation to retardation times, Deborah number, magnetic parameter, ratio of stretching rates, Lewis number, Prandtl number, radiation parameter, thermophoresis and Brownian motion parameters. Plots are presented and analyzed specifically for the temperature and nanoparticle concentration profiles. Numerical computations are performed for local Nusselt and Sherwood numbers. Impact reflecting the contributions of various embedded on the local Nusselt and Sherwood numbers is point out. It is observed that temperature and nanoparticle concentration profiles are decreased with an increase in Deborah number. An increase in thermophoresis parameter shows rise to the temperature and nanoparticle concentration fields. It is also seen that temperature and nanoparticle concentration profiles are quite opposite when Brownian motion parameter is increased. (C) 2014 Elsevier Inc. All rights reserved.

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