Abstract
This article explores the Jeffery-Hamel flow of an incompressible non-Newtonian fluid inside non-parallel walls and observes the influence of heat transfer in the flow field. The fluid is considered to be micropolar fluid that flows in a convergent/divergent channel. The governing nonlinear partial differential equations (PDEs) are converted to nonlinear coupled ordinary differential equations (ODEs) with the help of a suitable similarity transformation. The resulting nonlinear analysis is determined analytically with the utilization of the Taylor optimization method based on differential evolution (DE) algorithm. In order to understand the flow field, the effects of pertinent parameters such as the coupling parameter, spin gradient viscosity parameter and the Reynolds number have been examined on velocity and temperature profiles. It concedes that the good results can be attained by an implementation of the proposed method. Ultimately, the accuracy of the method is confirmed by comparing the present results with the results obtained by Runge-Kutta method.
Highlights
The problem of investigating the flow and heat transfer characteristics of an incompressible non-Newtonian fluid between nonparallel walls has extensively generated much importance in the recent years
Gerdroodbary et al.[16] studied the thermal radiation on traditional Jeffery-Hamel flow to stretchable convergent/divergent channels. It has been examined from several mathematical models and problems that differential equations which represent Jeffery-Hamel flows are inherently of nonlinearity
The analytical study associated with the steady and incompressible flow of nanofluid through a vertical channel has been inspected by Farooq and Zhi-Liang,[18] the solutions of the resulting nonlinear equations are acquired via an optimal homotopy analysis method (OHAM) with the effects of various physical parameters
Summary
Moradi et al.[15] examined the Jeffery-Hamel flow for nanofluid and analyzed the thermal effect on the flow, in this attempt, both analytic and numerical solutions have been carried out by employing differential transformation method and Runge-Kutta scheme. Gerdroodbary et al.[16] studied the thermal radiation on traditional Jeffery-Hamel flow to stretchable convergent/divergent channels It has been examined from several mathematical models and problems that differential equations which represent Jeffery-Hamel flows are inherently of nonlinearity. The analytical study associated with the steady and incompressible flow of nanofluid through a vertical channel has been inspected by Farooq and Zhi-Liang,[18] the solutions of the resulting nonlinear equations are acquired via an optimal homotopy analysis method (OHAM) with the effects of various physical parameters. The comparative study has been made with the previous results[13] and found to be good compatibility
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