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Here the peristaltic activity is observed for the transport of a Prandtl fluid in a curved flow configuration with wall properties. A radially applied magnetic field is utilized for the magnetohydrodynamic (MHD) aspect. The heat transfer subject to convective constraints at the channel walls is analyzed. Influences of thermal radiation and Joule heating are retained. The problems corresponding to large wavelength and small Reynolds number are numerically solved. Results for velocity, temperature and heat transfer coefficient are particularly emphasized. Main findings are concluded. A comparison of the present results with those already available in the limiting sense is shown and discussed.