Heat transfer and Helmholtz-Smoluchowski velocity in Bingham fluid flow  

作　　者：A.SALEEM M.N.KIANI S.NADEEM A.ISSAKHOV 

机构地区：[1]Mathematics and Its Applications in Life Sciences Research Group,Ton Duc Thang University,Ho Chi Minh 7000,Vietnam [2]Faculty of Mathematics and Statistics,Ton Duc Thang University,Ho Chi Minh 7000,Vietnam [3]Department of Mathematics,Quaid-i-Azam University,Islamabad 44000,Pakistan [4]Faculty of Mechanics and Mathematics,Al-Farabi Kazakh National University,Almaty 0500,Kazakhstan

出　　处：《Applied Mathematics and Mechanics(English Edition)》2020年第8期1167-1178,共12页应用数学和力学（英文版）

摘　　要：A mathematical study is developed for the electro-osmotic flow of a nonNewtonian fluid in a wavy microchannel in which a Bingham viscoplastic fluid model is considered.For electric potential distributions,a Poisson-Boltzmann equation is employed in the presence of an electrical double layer(EDL).The analytical solutions of dimensionless boundary value problems are obtained with the Debye-Huckel theory,the lubrication theory,and the long wavelength approximations.The effects of the Debyelength parameter,the plug flow width,the Helmholtz-Smoluchowski velocity,and the Joule heating on the normalized temperature,the velocity,the pressure gradient,the volumetric flow rate,and the Nusselt number for heat transfer are evaluated in detail using graphs.The analysis provides important findings regarding heat transfer in electroosmotic flows through a wavy microchannel.

关 键 词：ELECTRO-OSMOSIS Bingham viscoplastic fluid electric double layer(EDL) heat transfer Joule heating 

分 类 号：O361.4[理学—流体力学]