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ISSN Online: 2377-424X

ISBN Print: 978-1-56700-474-8

ISBN Online: 978-1-56700-473-1

International Heat Transfer Conference 16
August, 10-15, 2018, Beijing, China

LATTCE BOLTZMANN MDOELLING OF NATURAL CONVECTION OF POWER-LAW FLUIDS UNDER WALL VIBRATIONS

Get access (open in a dialog) DOI: 10.1615/IHTC16.cov.020599
pages 3433-3439

Abstract

We investigate the natural convection of power-law fluids in a cavity under wall vibrations using a lattice Boltzmann method (LBM). The heat transfer characteristics are interpreted by the averaged Nusselt number (Nu) near the surface of the heated wall. The effects of power-law index n in the range of 0.5-1.2 on momentum transport and heat transfer are investigated for Ra ranging from 103 to105 and Pr of 10. Nu near the hot wall is increased significantly with the increase of fluid exponent at high Ra, but is smaller than that without wall vibrations. Moreover, wall vibrations show slight and even no influence on Nu of power-law fluids at low Ra. The maximum velocity components of shear-thinning fluids are both decreased under wall vibrations with increasing n. The velocity components along the central lines of the cavity are decreased significantly for power-law fluids under wall vibrations. We conclude that wall vibrations influence the streamlines, isotherm contours and heat transfer characteristics of power-law fluids significantly at high Ra.