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Influence of induced magnetic field on the peristaltic flow of nanofluid
Authors:M Mustafa  S Hina  T Hayat  B Ahmad
Institution:1. Research Centre for Modeling and Simulation (RCMS), National University of Sciences and Technology (NUST), Sector H-12, Islamabad, 44000, Pakistan
2. Department of Mathematical Sciences, Fatima Jinnah Women University, Rawalpindi, 46000, Pakistan
3. Department of Mathematics, Quaid-I-Azam University, 45320, Islamabad, 44000, Pakistan
4. Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80207, Jeddah, 21589, Saudi Arabia
Abstract:This article investigates the effects of an induced magnetic field on the mixed convection peristaltic motion of nanofluid in a vertical channel. Transport equations involve the combined effects of Brownian motion and thermophoretic diffusion of nanoparticles. Analysis has been addressed subject to long wavelength and low Reynolds number assumptions. Explicit expressions of stream function, magnetic force function, temperature and nanoparticles concentration are developed. Analytic expressions are validated with the obtained numerical solutions. Peristaltic pumping rate is found to increase upon increasing the strengths of electric and magnetic fields and the buoyancy force due to temperature gradient. Moreover temperature rises and nanoparticles concentration decreases with an intensification in the Brownian motion effect.
Keywords:
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