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Perturbation solution to unsteady flow in a porous channel with expanding or contracting walls in the presence of a transverse magnetic field
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In this article, an incompressible flow in a porous channel with expanding or contacting walls in the presence of a transverse magnetic field is considered, and the governing equations are reduced to the nonlinear ordinary differential equations.Abstract:
An incompressible flow in a porous channel with expanding or contacting walls in the presence of a transverse magnetic field is considered. Using similarity transformations, the governing equations are reduced to the nonlinear ordinary differential equations. The exact similar solutions for the different cases of the expansion ratio and the Hartmann number are obtained with a singular perturbation method, and the associated behavior is discussed in detail.read more
Citations
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Analytical investigation of Jeffery-Hamel flow with high magnetic field and nanoparticle by Adomian decomposition method
TL;DR: In this article, the effects of magnetic field and nanoparticle on the Jeffery-Hamel flow are studied using a powerful analytical method called the Adomian decomposition method (ADM), which reduces the traditional Navier-Stokes equation of fluid mechanics and Maxwell's electromagnetism governing equations to nonlinear ordinary differential equations to model the problem.
Journal ArticleDOI
Homotopy analysis method for the asymmetric laminar flow and heat transfer of viscous fluid between contracting rotating disks
TL;DR: In this paper, the authors investigated the effects of the disks contracting, rotation, heat transfer and different permeability on the viscous fluids and temperature distribution between two heated contracting rotating disks.
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A study on thermal-diffusion and diffusion-thermo effects in a two-dimensional viscous flow between slowly expanding or contracting walls with weak permeability
TL;DR: In this paper, the thermal-diffusion and diffusion-thermo effects of a viscous fluid in a two-dimensional channel between slowly expanding or contracting walls with weak permeability were investigated.
Journal ArticleDOI
MHD flow of a nanofluid in an expanding or contracting porous pipe with chemical reaction and heat source/sink
TL;DR: In this article, an analytical analysis has been carried out to study the influence of chemical reaction on MHD flow of a nanofluid in an expanding or contracting porous pipe in the presence of heat source/sink.
References
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Journal ArticleDOI
Unsteady flows in a semi-infinite contracting or expanding pipe
Shigeo Uchida,Hiroshi Aoki +1 more
TL;DR: In this article, an exact solution of the Navier-Stokes equation for unsteady flow is a semi-infinite contracting or expanding circular pipe is calculated and reveals the following characteristics of this type of flow.
Journal ArticleDOI
Two-dimensional viscous flow between slowly expanding or contracting walls with weak permeability
TL;DR: The current study focuses on the viscous flow driven by small wall contractions and expansions of two weakly permeable walls and finds that, when suction is coupled with wall contraction, rapid flow turning is precipitated near the wall where the boundary layer is formed.
Journal ArticleDOI
Exact self-similarity solution of the Navier-Stokes equations for a porous channel with orthogonally moving walls
TL;DR: In this paper, a self-similarity solution of Navier-Stokes equations for a laminar, incompressible, and time-dependent flow that develops within a channel possessing permeable, moving walls is presented.
Technical note Two-dimensional viscous flow between slowly expanding or contracting walls with weak permeability
TL;DR: In this article, the authors focus on the viscous flow driven by small wall contractions and expansions of two weakly permeable walls, and find that when suction is coupled with wall contraction, rapid flow turning is precipitated near the wall where the boundary layer is formed.
Journal ArticleDOI
Moderate-to-large injection and suction driven channel flows with expanding or contracting walls
Joseph Majdalani,C. Zhou +1 more
TL;DR: In this article, the Navier-Stokes equations are reduced to a single, nonlinear, ordinary differential equation, and the resulting equation is then solved both numerically and asymptotically, using perturbations in the crossflow Reynolds number R.
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Moderate-to-large injection and suction driven channel flows with expanding or contracting walls
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