Shear-driven flow in an elliptical enclosure generated by an inner rotating circular cylinder

Unnikrishnan, A.; Shahane, Shantanu; Narayan, Vinod; Vanka, Surya Pratap

doi:10.1063/5.0076537

Cited by 13 publications

(3 citation statements)

References 39 publications

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“…Several variants of the original fractional-step method by [44] using RBF-FD discretizations on collocated Cartesian grids [39,80] and unstructured grids [63,74] can be found in literature. These previous implementations do not require regularizations, but, as we will demonstrate, significant savings in terms of the total number of grid points and stencil size is achieved by using the staggered node layout.…”

Section: Governing Equations and Numerical Approachmentioning

confidence: 99%

Rbf-Fd Discretization of the Navier-Stokes Equations Using Staggered Nodes

Chu

Schmidt

2022

SSRN Journal

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Section: Governing Equations and Numerical Approachmentioning

confidence: 99%

Rbf-Fd Discretization of the Navier-Stokes Equations Using Staggered Nodes

Chu

Schmidt

2022

SSRN Journal

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“…There are several types of meshless methods used for the solutions of heat transfer and fluid flow problems [14][15][16][17][18][19][20][21][22][23][24][25][26]. The intent of this work is to study the consistency and convergence characteristics of a recently developed high order meshless technique [25] that solves the incompressible Navier-Stokes equations using Polyharmonic Spline Radial Basis Function (PHS-RBF) interpolations of scattered data.…”

Section: Introductionmentioning

confidence: 99%

Consistency and Convergence of a High Order Accurate Meshless Method for Solution of Incompressible Fluid Flows

Shahane¹,

Vanka²

2022

Preprint

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Computations of incompressible flows with all velocity boundary conditions require solution of a Poisson equation for pressure or pressure-corrections with all Neumann boundary conditions. Discretization of such a Poisson equation results in a rank-deficient ill-conditioned matrix of coefficients. When a non-conservative discretization method such as finite difference, finite element, or spectral scheme is used, the ill-conditioned matrix also generates an inconsistency which makes the residuals in the iterative solution to saturate at a threshold level that depends on the spatial resolution and the order of the discretization scheme. In this paper, we examine this inconsistency for a high-order meshless discretization scheme suitable for solving the equations on a complex domain. The high order meshless method uses polyharmonic spline radial basis functions (PHS-RBF) with appended polynomials to interpolate scattered data and constructs the discrete equations by collocation.

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“…Several investigations on mixed convective heat transfer are available in the literature. These include but are not limited to square shapes [7][8][9][10][11][12][13][14][15][16] and squares with inner elliptical cylinders (EC) [16][17][18]. Research shows that heat transfer is enhanced when fitted with an inner EC as the inner cylinder gets near the bottom wall.…”

Section: Introductionmentioning

confidence: 99%

Numerical Analysis of Lid Driven Convective Heat Transfer and Fluid Flow around a Tilted Elliptical Cylinder

Olayemi

Ibitoye

Obalalu

2022

DDF

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A study of the heat transport and fluid flow behaviour around a tilted elliptical cylinder that is located concentrically in a square enclosure whose top horizontal wall is driven by a lid in the positive x-direction is presented. Due to the disparities in the results of convective heat transfer in square cavities in the literature, this study seeks to investigate the combined effects of the Grashof number, Aspect ratio of the geometry, and Elliptical cylinder inclination angle on the dynamics of thermal and flow fields within the geometry investigated. COMSOL Multiphysics 5.5 version was used to resolve the non-dimensional transport equations, while simulations were performed to examine the implications of salient parameters such as the elliptical inclination angle , Grashof number and aspect ratio . The simulation outcomes are displayed as average Nusselt numbers, velocity streamlines, and isothermal contours. Findings from this study show that an increase in aspect ratio resulted in increased heat transfer at the elliptical cylinder wall, with the highest rate of heat transfer occurring when .0. Furthermore, the inclination angle increments when Gr= and led to a reduction in the average Nusselt number of the elliptical cylinder wall. At and AR ranges of , the value of the elliptical cylinder wall increased as the ellipse's inclination angle increased. The findings of this study have found use in heat transfer systems, particularly electronic cooling and nuclear technologies.

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Shear-driven flow in an elliptical enclosure generated by an inner rotating circular cylinder

Cited by 13 publications

References 39 publications

Rbf-Fd Discretization of the Navier-Stokes Equations Using Staggered Nodes

Rbf-Fd Discretization of the Navier-Stokes Equations Using Staggered Nodes

Consistency and Convergence of a High Order Accurate Meshless Method for Solution of Incompressible Fluid Flows

Numerical Analysis of Lid Driven Convective Heat Transfer and Fluid Flow around a Tilted Elliptical Cylinder

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