In the present work, we obtained analytical solutions for peristaltic flow and heat transfer of a Herschel-Bulkley (HB) fluid in an inclined non-uniform conduit with elastic walls. The effects of the physical parameters on the axial velocity, the streamlines, the temperature and the rate of heat transfer are discussed through graphs. Further, we discussed the results for the peristaltic transport of Newtonian, Bingham and power-law fluids. The variation in the power-law index n shows that the values of the velocity and the temperature fields are grater for shear thinning (n < 1) HB fluids than the shear thickening (n > 1) HB fluids. Also for n = 1, the results agree very well with the available results in the literature. Further, the inclination angle has a strong influence on the velocity and the temperature fields. © 2017 Published under licence by IOP Publishing Ltd.
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