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A mathematical study for investigating heat transfer for the peristaltic flow of a Newtonian fluid through a nonuniform inclined channel while considering surface roughness of the inner wall has been conducted. Special attention is focused to analyze the physical behaviour of various flow characteristics at different magnitudes of surface roughness parameter. The results obtained for temperature have been characterized by two boundary conditions: uniform surface temperature and uniform heat flux. Effect of inner wall surface roughness and angle of inclination on the heat transfer for the peristaltic flow through a nonuniform channel has been discussed in detail. The expression for pressure gradient, velocity, and the temperature was obtained. The effect of inner wall surface roughness and the angle of inclination, on pressure rise and temperature, has also been elaborated in detail. The problem formulation developed has been solved using the long wavelength and low Reynolds number assumption.

Mathematical Analysis of Heat Transfer in Peristaltic Transport through a Rough Nonuniform Inclined Channel