A New Stabilized Formulation for Convective-diffusive Heat Transfer
نویسندگان
چکیده
This article presents a new stabilized finite-element formulation for convective-diffusive heat transfer. A mixed temperature and temperature-flux form is proposed that possesses better stability properties as compared to the classical Galerkin form. The issue of arbitrary combinations of temperature and temperature-flux interpolation functions is addressed. Specifically, the combinations of C ̊ interpolations that are unstable according to the Babuska–Brezzi inf-sup condition are shown to be stable and convergent within the present framework. Based on the proposed formulation, a family of 2-D elements comprising 3and 6-node triangles and 4and 9-node quadrilaterals has been developed. Numerical results show the good performance of the method and confirm convergence at optimal rates.
منابع مشابه
Characterization of unsteady double-diffusive mixed convection flow with soret and dufour effects in a square enclosure with top moving lid
The present study considers the numerical examination of an unsteady thermo-solutal mixed convection when the extra mass and heat diffusions, called as Soret and Dufour effects, were not neglected. The numerical simulations were performed in a lid-driven cavity, where the horizontal walls were kept in constant temperatures and concentrations. The vertical walls were well insulated. A finite vol...
متن کاملNumerical Investigation of Double- Diffusive Mixed Convective Flow in a Lid-Driven Enclosure Filled with Al2O3-Water Nanofluid
Double-diffusive mixed convection in a lid-driven square enclosure filled with Al2O3-water is numerically investigated. Two-dimensional nonlinear governing equations are discretized using the control volume method and hybrid scheme. The equations are solved using SIMPLER algorithm. The results are displayed in the form of streamlines, isotherms, and iso-concentrations when the Richardson number...
متن کاملNumerical Solution of Reacting Laminar Flow Heat and Mass Transfer in Ducts of Arbitrary Cross-Sections for Newtonian and Non-Newtonian Fluids
This study is concerned with the numerical analysis, formulation, programming and computation of steady, 3D conservation equations of reacting laminar flow heat and mass transfer in ducts of arbitrary cross-sections. The non-orthogonal boundary-fitted coordinate transformation method is applied to the Cartesian form of overall-continuity, momenta, energy and species-continuity equations, parabo...
متن کاملNumerical modelling of double-diffusive natural convection within an arc shaped enclosure filled with a porous medium
Numerical study of double-diffusive natural convective heat transfer in a curved cavity filledwith a porous medium has been carried out in the current study. Polar system has beenselected as coordinate system. As a result, all equations have been discredited in r and θdirections. Brinkmann extended Darcy model has been utilized to express fluid flow inporous matrix in the enclosure. Smaller and...
متن کاملImproving the natural convective heat transfer of a rectangular heatsink using superhydrophobic walls: A numerical approach
The effect of utilizing superhydrophobic walls on improving the convective heat transfer in a rectangular heatsink has been studied numerically in this paper. The vertical walls were kept at isothermal hot-and-cold temperatures and horizontal walls were insulated. The boundary condition on the walls was: no-slip for regular, and slip (with slip length of 500 µm) for superhydrophobic walls. By c...
متن کامل