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Heat Transfer Research
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Heat Transfer Research

DOI: 10.1615/HeatTransRes.2012006085
pages 733-748

EFFECTS OF DISSIPATIVE HEATING AND THERMAL DIFFUSION ON THE PERISTALTIC FLOW OF A POWER-LAW FLUID IN A NONUNIFORM INCLINED TUBE

Obaid Ullah Mehmood
Department of Mathematical Sciences, Faculty of Science, Universiti Teknologi Malaysia, 81310 UTM Johor Bahru, Johor, Malaysia; Department of Mathematics, COMSATS Institute of Information Technology, Wah Cantt. 47040, Pakistan
Norzieha Mustapha
Department of Mathematical Sciences, Faculty of Science, Universiti Teknologi Malaysia, 81310 UTM Johor Bahru, Johor, Malaysia
Sharidan Shafie
Department of Mathematical Sciences, Faculty of Science, Universiti Teknologi Malaysia 81310 UTM Johor Bahru, Johor, Malaysia
Constantin Fetecau
Academy of Romanian Scientists, Bucuresti 050094, Romania

ABSTRACT

The paper describes the study of the combined effects of heat and mass transfer on the peristaltic flow of a power-law fluid in a nonuniform inclined tube. The effects of dissipative heating and thermal diffusion are taken into account. The governing equations have been linearized by employing the long wavelength and small Reynolds number approximation. Exact solutions for the stream function, axial pressure gradient, axial velocity, temperature, and concentration have been derived. The effects of various interesting parameters are presented graphically. A comparative study on the temperature and concentration for a viscous, shear thinning and shear thickening fluid has been made. Comparisons with published results for limiting cases showed good agreement.


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