A superconvergence result of the natural convection equations

Abstract

This paper presents a superconvergence result of the stationary natural convection equations. The superconvergence result is obtained by applying a coarse mesh projection for finite element approximation. This projection method is actually a postprocessing procedure that constructs a new approximation based on a high order polynomial on coarse mesh, under some regularity assumption. Finally, numerical experiment is presented for testing, which confirms the theoretic analysis. Copyright © 2015 John Wiley & Sons, Ltd.

Natural convection nanofluid flow with heat transfer analysis of carbon nanotubes–water nanofluid inside a vertical truncated wavy cone

“…In literature review, it appears that heat transfer in natural convection power law non‐Newtonian fluid flow through vertical truncated wavy cone with the Tiwari and Das 22 nanofluid model has not yet been investigated. However, several overlapping studies in one or other way can be found in previous studies 23–41 . In order to fill the gap in literature, the thermally stratified boundary layer CNT–water nanofluid flow suspended by a vertical truncated cone is considered.…”

“…However, several overlapping studies in one or other way can be found in previous studies. [23][24][25][26][27][28][29][30][31][32][33][34][35][36][37][38][39][40][41] In order to fill the gap in literature, the thermally stratified boundary layer CNT-water nanofluid flow suspended by a vertical truncated cone is considered. Firstly, the system gives a nonsimilar solution; then it converts to a similar solution by using transformation to find its solution.…”

A sensitivity study of relaxation parameter in Uzawa algorithm for the steady natural convection model

“…The natural convection model has a long history of use in many fields of production and life, such as in room ventilation, solar collectors, heating general, nuclear reaction systems, fire control, katabatic winds, atmospheric fronts, cooling of electronic equipment, natural ventilation, solar collectors and so on. For more physical explanation, reader is referred to (Sheikholeslami et al , 2019b; Sheikholeslami et al , 2019a; Huang et al , 2016) and the references therein. This paper is concerned with the following stationary natural convection equations (Boland and Layton, 1990): where Ω ⊂ ℝ 2 is assumed that it has a Lipschitz continuous boundary ∂ Ω with a regular open subset Γ.…”