DRBEM SOLUTION OF THE NATURAL CONVECTIVE FLOW OF MICROPOLAR FLUIDS

Date

2010-01-01

Author

Gumgum, S.
Tezer, Münevver

Metadata

Show full item record

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Item Usage Stats

156
views

0
downloads

The main purpose of this article is to present the use of the dual reciprocity boundary element method (DRBEM) in the analysis of the unsteady natural convective flow of micropolar fluids in a differentially heated rectangular cavity. The finite-difference method (FDM) is used for time discretization. All the convective terms and vorticity boundary condition are evaluated in terms of DRBEM coordinate matrix. Solutions are obtained for several values of microstructure parameter (k), Rayleigh number (Ra), and aspect ratio (A). Prandtl number values are taken as 0.71 and 7.0. The heat transfer rate (average Nusselt number) of micropolar fluids is found to be smaller than that of Newtonian fluid. Numerical results at steady-state are given in terms of streamlines, isotherms, vorticity contours, and velocity profiles, as well as a table containing Nusselt number values for several Ra and k.

Subject Keywords

Condensed Matter Physics, Numerical Analysis

URI

https://hdl.handle.net/11511/34584

Journal

NUMERICAL HEAT TRANSFER PART A-APPLICATIONS

DOI

https://doi.org/10.1080/10407781003800680

Collections

Department of Mathematics, Article

Suggestions

OpenMETU
Core

EFFECT OF SURFACE ROUGHNESS IN PARALLEL-PLATE MICROCHANNELS ON HEAT TRANSFER Turgay, M. B.; Güvenç Yazıcıoğlu, Almıla (Informa UK Limited, 2009-01-01) In this study, the effect of surface roughness on convective heat transfer in two-dimensional parallel plate microchannels is analyzed numerically for steady-state, single-phase, developing, and laminar air flow in the slip flow regime. Slip velocity and temperature jump at wall boundaries are imposed to observe the rarefaction effect. The effect of triangular roughness elements on Nusselt number are compared to cases with smooth surfaces. The results indicate that increasing surface roughness reduces heat ...
DRBEM and DQM solutions of natural convection flow in a cavity under a magnetic field Alsoy-Akgun, N.; Tezer, Münevver (Inderscience Publishers, 2013-01-01) The dual reciprocity boundary element method (DRBEM) and the differential quadrature method (DQM) are applied to solve the 2D, unsteady natural convection flow in enclosures under an externally applied magnetic field. Vorticity transport and energy equations are transformed to modified Helmholtz equations by utilising forward difference with relaxation parameters for the time derivatives, and approximating also Laplacian terms at two consecutive time levels. Thus, the need of another time integration scheme...
DRBEM solution of natural convection flow of nanofluids with a heat source Gumgum, S.; Tezer, Münevver (Elsevier BV, 2010-08-01) This paper presents the dual reciprocity boundary element method (DRBEM) solution of the unsteady natural convective flow of nanofluids in enclosures with a heat source. The implicit Euler scheme is used for time integration. All the convective terms are evaluated in terms of DRBEM coordinate matrix. The vorticity boundary conditions are obtained from the Taylor series expansion of stream function equation. The results report that the average Nusselt number increases with the increase in both volume fractio...
DRBEM solution of natural convective heat transfer with a non-Darcy model in a porous medium Pekmen, B.; Tezer, Münevver (2015-03-01) This study presents the dual reciprocity boundary element (DRBEM) solution of Brinkman-Forchheimer-extended Darcy model in a porous medium containing an incompressible, viscous fluid. The governing dimensionless equations are solved in terms of stream function, vorticity and temperature. The problem geometry is a unit square cavity with either partially heated top and bottom walls or hot steps at the middle of these walls. DRBEM provides one to obtain the expected behavior of the flow in considerably small ...
DRBEM solution of free convection in porous enclosures under the effect of a magnetic field Pekmen, B.; Tezer, Münevver (2013-01-01) The dual reciprocity boundary element method (DRBEM) is applied for solving steady free convection in special shape enclosures filled with a fluid saturated porous medium under the effect of a magnetic field. The left and right walls are maintained at constant or different temperatures while the top and bottom walls are kept adiabatic. The effect of the external magnetic field on the flow and temperature behavior is visualized with different Rayleigh numbers Ra, Hartmann numbers Ha and inclination angle phi...

Citation Formats

S. Gumgum and M. Tezer, “DRBEM SOLUTION OF THE NATURAL CONVECTIVE FLOW OF MICROPOLAR FLUIDS,” NUMERICAL HEAT TRANSFER PART A-APPLICATIONS, pp. 777–798, 2010, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/34584.