Advances and Applications in Fluid Mechanics © 2015 Pushpa Publishing House, Allahabad, India Published Online: December 2014 Available online at http://pphmj.com/journals/aafm.htm Volume 17, Number 1, 2015, Pages 1-16 ISSN: 0973-4686 Received: April 12, 2014; Revised: June 26, 2014; Accepted: July 21, 2014 2010 Mathematics Subject Classification: 76Z05. Keywords and phrases: elasticity, Jeffrey fluid, heat transfer, mass transfer, fixed frame. Communicated by Liang-Yin Chu INFLUENCE OF ELASTICITY ON MHD PERISTALTIC TRANSPORT OF A JEFFREY FLUID THROUGH POROUS MEDIUM CHANNEL WITH HEAT AND MASS TRANSFER P. Hari Prabakaran 1 , R. Hemadri Reddy 2 , R. Saravana 3 , A. Kavitha 2 and S. Sreenadh 4 1 Department of Mathematics Sreenivasa Institute of Technology and Management Studies Chittoor 517 127, Andhra Pradesh, India 2 School of Advanced Sciences VIT University Vellore, Tamil Nadu-632014, India 3 Department of Mathematics Madanapalle Institute of Technology and Science Madanapalle 517325, Andhra Pradesh, India 4 Department of Mathematics Sri Venkateswara University Tirupati 517502, Andhra Pradesh, India Abstract We study the MHD peristaltic motion of a Jeffrey fluid in a porous channel with the influence of compliant walls, heat and mass transfer under the assumptions of long wavelength and low Reynolds number.