Journal
JOURNAL OF THERMAL ANALYSIS AND CALORIMETRY
Volume 143, Issue 3, Pages 2291-2312Publisher
SPRINGER
DOI: 10.1007/s10973-020-09776-8
Keywords
Double-diffusivity convection; Nanofluids; Induced magnetic field; Carreau fluid; Tapered channel
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This article discusses the importance of double-diffusivity convection in nanofluids on the peristaltic pumping of Carreau fluid in a tapered channel with induced magnetic field and different waveforms. Through mathematical modeling and calculations, solutions for temperature, concentration, and nanoparticle volume fraction are obtained, with the observation that temperature and concentration profiles increase with an increase in parameters N-b, N-t, N-CT, and N-TC.
In the present article, importance of double-diffusivity convection in nanofluids on peristaltic pumping of Carreau fluid in tapered channel with induced magnetic field and different waveforms has been theoretically discussed. Mathematical modeling of the two-dimensional and two-directional flow of a Carreau fluid are described in detail. A well-known assumption (long wave length and low Reynolds numbers) are employed in order to find the exact and analytical solution of the proposed problem. Exact solutions of temperature, concentration, and nanoparticle volume fraction are computed. Perturbation technique is used to calculate the solutions of highly nonlinear partial differential equations. With the help of Mathematica software and MATLAB, graphical results are displaced to see the behavior of temperature, concentration, nanoparticle volume fraction, pressure rise, pressure gradient, magnetic force function, and stream functions. It is observed that temperature and concentration profile increases with an increase in N-b, N-t, N-CT, and N-TC.
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