Soret and Dufour features in peristaltic motion of chemically reactive fluid in a tapered asymmetric channel in the presence of Hall current

Abstract

Abstract The present work examines heat and mass transfer characteristics of peristaltic motion of Johnson-Segalman fluid in a tapered asymmetric channel along with chemical reaction, by taking into account the Soret and Dufour effects. Effects of Hall current have also been discussed in mathematical modeling and analysis. Following the peristaltic wave procedure, the tapered asymmetric channel is based on the non uniform boundaries having diverse phases and amplitudes. The channel walls show excellent agreement with more realistic convective conditions. The modeled flow problem is directed into ordinary differential equations set with proper utilization of similarity quantities. The estimation of high wavelength as well as small Reynolds number are acknowledged to deduce the equations of Johnson-Segalman liquid model. The adopted solution procedure is constructed via homotopic algorithm. The results have been analyzed for various parameters of interest and sketched for better understanding. The velocity profile reveals decreasing behavior for increasing values of Weissenberg number and Hartman number while converse behavior is found for mean flow rate and Hall parameter. The temperature profile falloffs for heat transfer Biot number and Hartman number whereas it increases for Prandtl number, Brinkman number, Dufour number and Hall parameter. The concentration profile tends to decrease for mass transfer Biot number and increase for Schmidt constant.