Journal ArticleDOI
Prediction of transient natural convection in enclosures of arbitrary geometry using a nonorthogonal numerical model
TLDR
In this article, a finite-difference method formulated in boundary-fitted nonorthogonal general curvilinear coordinates is used for the prediction of transient free convection in enclosures of arbitrary geometry.Abstract:
A finite-difference method formulated in boundary-fitted nonorthogonal general curvilinear coordinates is used for the prediction of transient free convection in enclosures of arbitrary geometry. The governing system of equations in primitive variable form, simplified by the Boussinesq approximation, is transformed into a general curvilinear system in which all physical boundaries are described by constant coordinate lines. The finite-difference form of the equations is obtained by employing the control volume formulation and solved by a segregated numerical algorithm using a skewed time-marching procedure. Several test problems are considered in order to evaluate the performance of the method in terms of reliability, accuracy, stability, and efficiency. A problem of transient cooling of a square cavity is then considered in order to determine the effect of time step and under-relaxation coefficient on the accuracy and efficiency of the solution technique. The results of all test problems are presented an...read more
Citations
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Journal ArticleDOI
Heat transfer augmentation in a two-sided lid-driven differentially heated square cavity utilizing nanofluids
Raj Kamal Tiwari,Manab Kumar Das +1 more
TL;DR: In this article, the authors investigated the behavior of nanofluids inside a two-sided lid-driven differentially heated square cavity to gain insight into convective recirculation and flow processes induced by a nano-fluid.
Journal ArticleDOI
A numerical study of natural convection around a square, horizontal, heated cylinder placed in an enclosure
Arnab Kumar De,Amaresh Dalal +1 more
TL;DR: In this article, a tilted heated square cylinder kept in an enclosure has been studied in the range of 10 3 ǫ⩽ Ra ⩽ 10 6, where the stream function-vorticity formulation of the Navier-Stokes equation is solved numerically using finite-difference method in non-orthogonal body-fitted coordinate system.
Journal ArticleDOI
Heatline analysis on natural convection for nanofluids confined within square cavities with various thermal boundary conditions
Tanmay Basak,Ali J. Chamkha +1 more
TL;DR: In this article, the Galerkin finite element method has been employed to solve momentum and energy balance as well as post processing streamfunctions and heatfunctions in the presence of hot and cold side walls.
Journal ArticleDOI
Natural convection heat transfer of nanofluids in a vertical cavity: Effects of non-uniform particle diameter and temperature on thermal conductivity
Kuang C. Lin,Angela Violi +1 more
TL;DR: In this paper, the authors analyzed the heat transfer and fluid flow of natural convection in a cavity filled with Al 2 O 3 /water nanofluid that operates under differentially heated walls.
Journal ArticleDOI
Effect of nanofluid variable properties on mixed convection flow and heat transfer in an inclined two-sided lid-driven cavity with sinusoidal heating on sidewalls
TL;DR: In this article, an inclined two-sided lid-driven cavity subjected to Al2O3-water nanofluid (with diff erent particle diameters from 15 to 99 nm) has been investigated numerically.
References
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Book
Numerical heat transfer and fluid flow
TL;DR: In this article, the authors focus on heat and mass transfer, fluid flow, chemical reaction, and other related processes that occur in engineering equipment, the natural environment, and living organisms.
Journal ArticleDOI
Enhancements of the simple method for predicting incompressible fluid flows
J. P. Van Doormaal,G. D. Raithby +1 more
TL;DR: The performances of SIMPLE, SIMPLER, and SIMPLEC are compared for two recirculating flow problems and several modifications to the method are shown which both simplify its implementation and reduce solution costs.
Journal ArticleDOI
Natural convection of air in a square cavity: A bench mark numerical solution
TL;DR: In this paper, the authors used mesh refnement and extrapolation to obtain an accurate solution of the equations describing two-dimensional natural convection in a square cavity with differentially heated side walls.
Journal ArticleDOI
The validity of the boussinesq approximation for liquids and gases
Donald D. Gray,Aldo Giorgini +1 more
TL;DR: In this paper, a new method for obtaining approximate equations for natural convection flows is presented, which allows the specification of the conditions under which the traditional Boussinesq approximation applies to a given Newtonian liquid or gas.
Journal ArticleDOI
Natural convection in a square cavity: A comparison exercise
G. de Vahl Davis,I. P. Jones +1 more
TL;DR: In this article, a number of contributed solutions to the problem of laminar natural convection in a square cavity have been compared with what is regarded as a solution of high accuracy, and the purposes of this exercise have been to confirm the accuracy of the bench mark solution and to provide a basis for the assessment of the various methods and computer codes used to obtain the contributed solutions.