Heat and mass transfer effects on the peristaltic flow of Johnson–Segalman fluid in a curved channel with compliant walls S. Hina a,⇑ , T. Hayat b,c , A. Alsaedi c a Department of Mathematical Sciences, Fatima Jinnah Women University, Rawalpindi 46000, Pakistan b Department of Mathematics, Quaid-i-Azam University 45320, Islamabad 44000, Pakistan c Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O.Box 80207, Jeddah 21589, Saudi Arabia article info Article history: Received 27 January 2011 Received in revised form 6 February 2012 Accepted 22 February 2012 Available online 14 April 2012 Keywords: Curved channel Johnson–Segalman fluid Heat transfer Mass transfer Compliant wall abstract The influence of heat and mass transfer has been carried out in the peristaltic transport of Johnson–Segal- man fluid in a curved channel with flexible walls. The relevant flow problem is modeled. The solution analysis is given under long wavelength and low Reynolds number approximations. Expressions for stream function, temperature and concentration fields are derived. The effects of emerging parameters in the obtained solutions are plotted and analyzed. Ó 2012 Elsevier Ltd. All rights reserved. 1. Introduction The occurence of peristaltic motion is quite common in ureter for the transport of urine, in swallowing food through esophagus, in lymphatic vessels for the transport of lymph, in the vasomotion of small blood vessels, in roller and finger pumps and in heart–lung machine. In nuclear industry, toxic liquid can be transported by such mechanism in order to avoid contamination of the outside environment. Extensive studies on the topic have been carried out since the first investigation of Latham [1]. The works of Shapiro et al. [2] and Fung and Yih [3] are very important in this field. Rao and Mishra [4] studied the peristaltic motion of power-law fluid in porous tube. Vajravelu [5] discussed the peristaltic flow of Her- schel-Bulkley fluid in an inclined tube. Ebaid [6] analyzed the ef- fects of slip and magnetic field on peristaltic motion of Newtonian fluid in an asymmetric channel. Mekheimer and Abd elmaboud [7] studied the peristaltic motion of couple stress fluid in an annulus. Influence of induced magnetic field on peristaltic transport of couple stress fluid in a planar channel is discussed by Mekheimer [8]. Kothandapani and Srinivas [9] discussed the MHD peristaltic flow of Jeffrey fluid in an asymmetric channel. Peristaltic flow of Newtonian fluid in an inclined asymmetric chan- nel through porous medium is discussed by Kothandapani and Srinivas [10]. Hayat et al. [11] studied the slip effect on MHD peri- staltic flow of viscous fluid with variable viscosity. Gad [12] stud- ied the effect of Hall current on the peristaltic flow of particle– fluid suspension. In reality most of the fluids in industry and physiology are non- Newtonian in nature. Johnson-Segalman fluid is one subclass of non-Newtonian fluids which can explain the ‘‘spurt’’ phenomenon. The term ‘‘spurt’’ has been used for the description of large increase in the volume to a small increase in the driving pressure gradient. Hayat et al. [13] examined the peristaltic flow of Johnson-Segal- man fluid in a planar channel. Elshahed and Haroun [14] studied the peristaltic motion of Johnson-Segalman fluid under the effect of magnetic field. The peristaltic transport of Johnson-Segalman fluid in an asymmetric channel has been discussed by Hayat et al. [15]. Wang et al. [16] studied the peristaltic motion of John- son–Segalman fluid through a deformable tube. Nadeem and Akbar [17] studied the effects of induced magnetic field and heat and mass transfer on peristaltic flow of Johnson-Segalman fluid in a vertical asymmetric channel. Peristaltic flow in channel/tube mainly occurs because of the flexibility of the walls. In existing literature, the reasonable atten- tion is given to the peristaltic flows in a channel having compliant walls. Mittra and Prasad [18] analyzed the effects of wall proper- ties on peristalsis. Davies and Carpenter [19] analyzed the stability of plane channel flow with compliant walls. Srivastava and Srivast- ava [20] studied the wall elasticity on peristaltic flow of particle– fluid mixture. Haroun [21] studied the compliant wall effects on peristalsis in an asymmetric channel. Radhakrishnamacharya and 0017-9310/$ - see front matter Ó 2012 Elsevier Ltd. All rights reserved. http://dx.doi.org/10.1016/j.ijheatmasstransfer.2012.03.014 ⇑ Corresponding author. Tel.: +92 51 90642172; fax: +92 51 2601171. E-mail address: quaidan85@yahoo.com (S. Hina). International Journal of Heat and Mass Transfer 55 (2012) 3511–3521 Contents lists available at SciVerse ScienceDirect International Journal of Heat and Mass Transfer journal homepage: www.elsevier.com/locate/ijhmt