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Biomathematical study of non‐Newtonian nanofluid in a diverging tube
Authors:Noreen Sher Akbar  S Nadeem
Affiliation:1. DBS&H, CEME, National University of Sciences and Technology, Islamabad, Pakistan;2. Department of Mathematics, Quaid‐i‐Azam University, Islamabad, Pakistan
Abstract:The present article deals with the peristaltic ?ow of a nano‐Eyring Prandtl ?uid model in a diverging tube. The governing equations for the considered model in view of the nanoparticles are presented in cylindrical coordinates using long wavelength and low Reynolds number approximation. The resulting nonlinear di?erential equations are solved for velocity, temperature, nanoparticle, and pressure gradient using the homotopy perturbation method. Numerical integration has been carried out for pressure rise, frictional forces, velocity, temperature, and nanoparticles. The numerical results are discussed through graphs. The e?ects of various emerging parameters are investigated for ?ve di?erent peristaltic waves. Streamlines have been plotted at the end of the article for the considered waveforms. © 2013 Wiley Periodicals, Inc. Heat Trans Asian Res; Published online in Wiley Online Library (wileyonlinelibrary.com/journal/htj). DOI 10.1002/htj.21047
Keywords:peristaltic fl  ow  Eyring Prandtl fl  uid  diverging tube  nanoparticle  homotopy perturbation solution
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