Abstract
This study deals with the numerical investigation of Jeffery-Hamel flow and heat transfer in Eyring-Powell fluid in the presence of an outer magnetic field by using Haar wavelet method. Jeffery-Hamel flows occur in various practical situations involving flow between two non-parallel walls. Applications of such fluids in biological and industrial sciences brought a great concern to the investigation of flow characteristics in converging and diverging channels. A suitable similarity transformation is applied to transform the nonlinear coupled partial differential equations (PDEs) into nonlinear coupled ordinary differential equations (ODEs), which govern the momentum and heat transfer properties of the fluid. Due to the high nonlinearity of resulting coupled ODEs, the exact solution is unlikely. Thus, the solution is approximated using a numerical scheme based on Haar wavelets and the results are verified by comparing with 4th order Runge-Kutta results.
Highlights
Flows through convergent-divergent channels gained importance in early nineteenth century after the revolutionary works of Refs. 1 and 2
Jeffery-Hamel flows are considered with various other flow conditions and the effects of many other fluid characteristics have been investigated.[6] investigated the thermal radiation effects on the conventional Jeffery-Hamel flow caused by a point source or sink in convergent/divergent channels with stretching or shrinking walls of the stationary channel.[7] explored the effects of magnetic field applied transversely on Jeffery-Hamel flow using Cuwater nanofluid in the middle of two nonparallel plane walls.[8] obtained the similarity solutions for the flow of Jeffery-Hamel fluid and described its relation to flow in a converging-diverging channel
A novel numerical technique based on Haar wavelets was employed to examine the Jeffery-Hamel flow of Eyring-Powell fluid and heat transfer with an external magnetic field applied
Summary
Flows through convergent-divergent channels gained importance in early nineteenth century after the revolutionary works of Refs. 1 and 2. Jeffery-Hamel flows have various applications in fluid mechanics, aerospace, civil, bio-mechanical, mechanical, chemical, and environmental engineering along with exploring the rivers and canals. Practical applications of these types of flows include flow through rivers, canals, and different biological flows such as flow through arteries and venous blood vessels. Various numerical techniques have been presented to solve these systems.[9] obtained the approximate homotopy analysis solution for the Jeffery-Hamel flows.[10] presented an improved homotopy analysis solution of the nonlinear equations of Jeffery-Hamel
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