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Numerical study of MHD two-phase Couette flow analysis for fluid-particle suspension between moving parallel plates

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TLDR
In this paper, steady and unsteady magneto-hydrodynamic (MHD) Couette flows between two parallel infinite plates have been studied through numerical Differential Quadrature Method and analytical Differential Transformation Method, respectively.
Abstract
In this study, steady and unsteady magneto-hydrodynamic (MHD) Couette flows between two parallel infinite plates have been studied through numerical Differential Quadrature Method (DQM) and analytical Differential Transformation Method (DTM), respectively. Coupled equations by taking the viscosity effect of the two phases for fixed and moving plates have been introduced. The precious contribution of the present study is introducing new, fast and efficient numerical and analytical methods in a two-phase MHD Couette fluid flow. Results are compared with those previously obtained by using Finite Difference Method (FDM). The velocity profiles of two phases are presented and a parametric study of physical parameters involved in the problem is conducted. As an outcome, when magnetic source is fixed relative to the moving plate, by increasing the Hartmann number, velocity profiles for both phases increased, but when it is fixed relative to the fluid an inverse treatment is observed.

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Nonlinear thermal radiation effect on magneto Casson nanofluid flow with Joule heating effect over an inclined porous stretching sheet

TL;DR: In this article, mixed convection on MHD flow of casson nanofluid over a nonlinearly permeable stretching sheet has been investigated and analyzed numerically, and the effects of thermal radiation, chemical reaction, heat generation/absorption, viscous dissipation, suction and Joule heating are considered.
Journal ArticleDOI

Investigation on ethylene glycol Nano fluid flow over a vertical permeable circular cylinder under effect of magnetic field

TL;DR: In this article, the mixed convection stationary point flow of an incompressible viscous nano fluid into a vertical permeable circular cylinder along with electric conductivity is analyzed, and the strong nonlinear systems calculations are presented using the Numerical Method after non-dimensionalization.
Journal ArticleDOI

New thermodynamics of entropy generation minimization with nonlinear thermal radiation and nanomaterials

TL;DR: In this paper, entropy generation for MHD stagnation point flow of viscous nanofluid over a stretching surface is investigated and the effects of pertinent variables on velocity, nanoparticle concentration and temperature are discussed graphically.
Journal ArticleDOI

MHD boundary layer analysis for micropolar dusty fluid containing Hybrid nanoparticles (Cu‑Al2O3) over a porous medium

TL;DR: In this paper, Mahnetohydrodynamic flow and heat transfer of non-Newtonian micropolar dusty fluid suspended Cu-Al2O3 Hybrid nanoparticles past a stretching sheet in the presence of nonlinear thermal radiation, variable thermal conductivity and different nanoparticles shapes (Bricks, Cylinders, Platelets and Blades) are investigated.
References
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Book

Differential Quadrature and Its Application in Engineering

Chang Shu
TL;DR: A Differential Quadrature Hierarchical Finite Element Method (DQEEM) based on Bernstein Polynomials is proposed in this paper for the analysis of doubly-curvel shell structures.
Journal ArticleDOI

Differential quadrature: a technique for the rapid solution of nonlinear partial differential equations

TL;DR: In this article, the authors present a direct technique which can be applied in a large number of cases to circumvent the difficulties of programming complex algorithms for the computer, as well as excessive use of storage and computer time.
Journal ArticleDOI

Application of generalized differential quadrature to solve two-dimensional incompressible navier-stokes equations

TL;DR: In this paper, a global method of generalised differential quadrature is applied to solve the two-dimensional incompressible Navier-Stokes equations in the vorticity-stream-function formulation.
Journal ArticleDOI

New insights in solving distributed system equations by the quadrature method—I. Analysis

TL;DR: In this article, the authors derived explicit formulae of the quadrature coefficients for arbitrarily-distributed nodes and for nodes located at the zeros of an orthogonal polynomial.
Journal ArticleDOI

Numerical investigation of MHD effects on Al2O3–water nanofluid flow and heat transfer in a semi-annulus enclosure using LBM

TL;DR: In this paper, free convection heat transfer in a concentric annulus between a cold square and heated elliptic cylinders in the presence of magnetic field is investigated, and the Lattice Boltzmann method is applied to solve the governing equations.
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