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Magnetohydrodynamic Flow of a Carreau Fluid in a Channel with Different Wave Forms

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Magnetohydrodynamic Flow of a Carreau Fluid in a Channel with Different Wave Forms

Tasawar Hayata,b, Najma Saleema, Said Mesloubb, and Nasir Alic

aDepartment of Mathematics, Quaid-i-Azam University, Islamabad 44000, Pakistan

bDepartment of Mathematics, King Saud University Riyadh 11451, Saudi Arabia

cFaculty of Basic and Applied Sciences, International Islamic University, Islamabad 44000, Pakistan

Reprint requests to T. H.; E-mail: pensy t@yahoo.com

Z. Naturforsch.66a,215 – 222 (2011); received March 16, 2009 / revised February 16, 2011 In this investigation, we discuss the peristaltic motion based on the constitutive equations of a Car- reau fluid in a channel. The fluid is electrically conducting in the presence of a uniform applied mag- netic field. Four different wave forms are chosen. The fluid behaviour is studied using long wave- length approximation. Detailed analysis is performed for various emerging parameters on pumping and trapping phenomena. The present results reduce favourably with the currently available results of hydrodynamic case when the Hartman number is chosen zero.

Key words:Symmetric Channel; Magnetic Field; Trapping.

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