This article examines the heat and mass transfer capabilities of a constitutive model in thermally evolving steady laminar Jeffery–Hamel flow through convergent-plate channel, including streamwise conduction with step changes uniform wall temperature. A problem simple shear is used to undertake comparative computational analysis thermal behavior viscoelastic fluid subjected autocatalytic proces...

The article solves the Jeffery–Hamel flow with analytically method and the effect of external magnetic field is studied. The traditional Navier-Stoks equation of fluid mechanics and Maxwell’s electromagnetism governing equations reduce to nonlinear ordinary differential equations to model this problem. Differential transformation is applied in order to obtain analytical solution of the governin...

In this paper, Optimal Homotopy Asymptotic Method (OHAM) is combined with Galerkin method to investigate the MHD Jeffery-Hamel flows in non-parallel walls for strongly nonlinear ordinary differential equations. Results for velocity profiles in divergent and convergent channels for various values of Hartmann and Reynolds numbers are compared with numerical method (the Runge-Kutta method of order...

We experimentally demonstrate that nonflagellated Escherichia coli strains follow modified Jeffery orbits in shear flow near a surface. We fully characterize their Jeffery orbits as a function of their aspect ratios and distance from that surface. Thanks to the linearity of Navier-Stokes equations under low-Reynolds-number conditions, the hydrodynamic body-wall interactions described here can b...

The aim of the present study is to examine the steady flow of an incompressible conducting viscous fluid in convergent-divergent channels under the effect of an external homogeneous magnetic field. The non-dimensional governing equation for the considered flow field is solved in a power series to examine the instability of the problem using Hermite-Pade ́ approximation technique computed numeri...