DRBEM solution of natural convection flow of nanofluids with a heat source

Date

2010-08-01

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

66
views

0
downloads

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 fraction and Rayleigh number. It is also observed that an increase in heater length reduces the heat transfer. The average Nusselt number of aluminum oxide-water based nanofluid is found to be smaller than that of copper-water based nanofluid. Results are given in terms of streamlines, isotherms, vorticity contours, velocity profiles and tables containing average Nusselt number for several values of Rayleigh number, heater length, volume fraction, and number of iterations together with CPU times.

Subject Keywords

General Engineering, Applied Mathematics, Analysis, Computational Mathematics

URI

https://hdl.handle.net/11511/48104

Journal

ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS

DOI

https://doi.org/10.1016/j.enganabound.2010.03.006

Collections

Department of Mathematics, Article

Suggestions

OpenMETU
Core

DRBEM solution of mixed convection flow of nanofluids in enclosures with moving walls Gumgum, S.; Tezer, Münevver (Elsevier BV, 2014-03-15) This paper presents the results of a numerical study on unsteady mixed convection flow of nanofluids in lid-driven enclosures filled with aluminum oxide and copper-water based nanofluids. The governing equations are solved by the Dual Reciprocity Boundary Element Method (DRBEM), and the time derivatives are discretized using the implicit central difference scheme. All the convective terms and the vorticity boundary conditions are evaluated in terms of the DRBEM coordinate matrix. Linear boundary elements an...
DRBEM solution of the Cauchy MHD duct flow with a slipping perturbed boundary Aydin, Cemre; Tezer, Münevver (Elsevier BV, 2018-08-01) In this study, the MHD flow direct and Cauchy problems are solved in a rectangular duct with a perturbed, curved, and slip upper boundary. The aim is to recompute the slipping velocity and the slip length by using the asymptotic analysis with respect to the perturbation parameter e and solving MHD flow equations for the first order and the corrector solutions in the rectangular duct. Hence, without discretizing the curved boundary, we are able to obtain the solution of MHD flow in the duct with curved pertu...
DRBEM Solution of MHD flow in a rectangular duct with time-varied external magnetic field Ebren Kaya, Elif; Tezer, Münevver (Elsevier BV, 2020-08-01) This paper investigates the flow behavior of a viscous, incompressible and electrically conducting fluid in a long channel subjected to a time-varied oblique magnetic field B-0(t) = B(0)f(t). The time-dependent MHD equations are solved by using the dual reciprocity boundary element method (DRBEM). The transient level velocity and induced magnetic field profiles are presented for moderate Hartmann number values, several direction of applied magnetic field and for several functions f(t) as polynomial, exponen...
DRBEM solution of exterior nonlinear wave problem using FDM and LSM time integrations Meral, Guelnihal; Tezer, Münevver (Elsevier BV, 2010-06-01) The nonlinear wave equation is solved numerically in an exterior region For the discretization of the space derivatives dual reciprocity boundary element method (DRBEM) is applied using the fundamental solution of Laplace equation. The time derivative and the nonlinearity are treated as the nonhomogenity. The boundary integrals coming from the far boundary are eliminated using rational and exponential interpolation functions which have decay properties far away from the region of Interest. The resulting sys...
DRBEM solution to MHD flow in ducts with thin slipping side walls and separated by conducting thick Hartmann walls Senel, P.; Tezer-Sezgin, M. (Elsevier BV, 2019-11-01) In this study, the dual reciprocity boundary element method (DRBEM) solution to magnetohydrodynamic (MHD) flow is given in a single and two ducts stacked in the direction of external magnetic field. The duct walls perpendicular to the applied magnetic field (Hartmann walls) are conducting, thick and no-slip whereas the horizontal walls (side walls) are insulated, thin and allow the velocity slip. The DRBEM transforms the convection diffusion type MHD equations in the duct and Laplace equation in the thick w...

Citation Formats

S. Gumgum and M. Tezer, “DRBEM solution of natural convection flow of nanofluids with a heat source,” ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS, pp. 727–737, 2010, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/48104.