Theoretical Exploration of Thermal Transportation with Lorentz Force for Fourth-Grade Fluid Model Obeying Peristaltic Mechanism

The heat transfer phenomenon plays an imperative role in several biological and industrial processes, like the oil production industries, catalytic reactors, energy losses in several thermal systems, energy storage, papers manufacture and heat exchanger systems. Therefore, the present analysis investigates the heat transfer phenomena on peristaltic transportation of the hydromagnetic flow of non-Newtonian fourth-grade fluid in a tapered asymmetric channel filled with porous media. Moreover, the impacts of heat source/sink and thermal radiation in modeling are retained. The tapered asymmetry in the channel is generated by undertaking the peristaltic wave train inflicted on the non-uniform walls to have altered phases and amplitudes. The analysis is originated by adopting suppositions of long wavelength δ<<1\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\left( {\delta < < 1} \right)$$\end{document}, small Deborah number Γ→0\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\left( {\Gamma \to 0} \right)$$\end{document} and low Reynolds number R→0\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\left( {\text{R} \to 0} \right)$$\end{document}. A regular perturbation technique is utilized to acquire the series outcomes for the axial velocity, pressure gradient and streamlines distribution, while an analytical outcome has been acquired for the thermal profile. The pressure rise at each wavelength on the channel walls has been numerically computed. Impacts of arising parameters in the analysis are surveyed graphically. Outcomes divulge that magnitude of the axial velocity raises with a rise of Darcy number. In contrast, it diminishes with a raise of the magnetic parameter near the center of the channel. Furthermore, the calculated outcomes are found in admirable agreement with the outcomes acquired by the finite element technique and previously published results.