Sains Malaysiana 43(7)(2014): 1109–1118

Partial Slip Effect on Heat and Mass Transfer of MHD Peristaltic Transport

in a Porous Medium

(Kesan Gelincir Separa ke atas Pemindahan Haba dan Jisim bagi Aliran Peristalsis

(MHD) di dalam Medium Berliang)

OBAID ULLAH MEHMOOD^1,3, NORZIEHA MUSTAPHA²*, SHARIDAN SHAFIE¹

& T. HAYAT^3,4

¹Department of Mathematical Sciences, Faculty of Science, Universiti Teknologi Malaysia

81310 Johor Bahru, Johor, Malaysia

²UTM Centre for Industrial & Applied Mathematics (UTM-CIAM), Universiti Teknologi Malaysia, 81310 Johor Bahru, Johor, Malaysia

³Department of Mathematics, Quaid-I-Azam University 45320, Islamabad 44000

Pakistan

⁴Department of Mathematics, College of Science, King Saudi University, P.O. Box 2455

Riyadh 11451, Saudi Arabia

Received: 30 September 2011/Accepted: 4 October 2013

ABSTRACT

This research looks at the effects of partial slip on heat and mass transfer of peristaltic transport. The magnetohydrodynamic (MHD) flow of viscous fluid in a porous asymmetric channel has been considered. The exact solutions for the stream function, longitudinal pressure gradient, longitudinal velocity, shear stress, temperature and concentration fields are derived by adopting long wavelength and small Reynolds number approximations. The results showed that peristaltic pumping and trapping are reduced with increasing velocity slip parameter. Furthermore, temperature increases with increasing thermal slip parameter. Moreover, the concentration profile decreases with increasing porosity parameter, Schmidt number and concentration slip parameter. Comparisons with published results are found to be in good agreement.

Keywords: Heat and mass transfer; MHD peristaltic flow; partial slip; porous medium; pumping; trapping

ABSTRAK

Kajian ini membincangkan kesan gelincir separa ke atas pemindahan haba dan jisim bagi aliran peristalsis. Aliran yang mempunyai hidrodinamik magnet (MHD) di dalam saluran tak simetri berliang dipertimbangkan. Penyelesian tepat untuk rangkap arus, kecerunan tekanan membujur, halaju membujur, tegasan ricih, medan suhu dan medan kepekatan diperoleh dengan menggunakan penghampiran panjang gelombang yang panjang dan nombor Reynold yang kecil. Keputusan menunjukkan peristalsis mengepam dan memerangkap bendalir berkurangan apabila meningkatnya parameter halaju gelinciran. Seterusnya, suhu meningkat dengan peningkatan parameter haba gelinciran. Tambahan pula, profil kepekatan menurun dengan meningkatnya parameter keliangan, nombor Schmidt dan parameter kepekatan gelinciran. Perbandingan dengan keputusan yang telah diterbitkan menunjukkan persetujuan yang baik.

Kata kunci: Aliran peristalsis MHD; gelincir separa; medium berliang; memerangkap; mengepam; pemindahan haba dan jisim

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*Corresponding author; email: norzieha@utm.my