A thermodynamically consistent model for convective transport in nanofluids: existence of weak solutions and FEM computations

DOI10.1016/J.JMAA.2019.04.002zbMath1448.80008OpenAlexW2937477998WikidataQ128115482 ScholiaQ128115482MaRDI QIDQ2314819

Eberhard Bänsch

Publication date: 30 July 2019

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2019.04.002

zbMATH Keywords

weak solutionfinite elementheat transferenergy estimatenanofluidthermophoresis

Mathematics Subject Classification ID

Weak solutions to PDEs (35D30) Finite element, Galerkin and related methods applied to problems in thermodynamics and heat transfer (80M10) Diffusive and convective heat and mass transfer, heat flow (80A19)

Related Items (3)

Convective transport in nanofluids: the stationary problem ⋮ Convective transport in nanofluids: regularity of solutions and error estimates for finite element approximations ⋮ Combined Newton-Raphson and streamlines-upwind Petrov-Galerkin iterations for nanoparticles transport in buoyancy-driven flow

Cites Work

• Elliptic partial differential equations of second order
• An overview of projection methods for incompressible flows
• THERMODYNAMICALLY CONSISTENT, FRAME INDIFFERENT DIFFUSE INTERFACE MODELS FOR INCOMPRESSIBLE TWO-PHASE FLOWS WITH DIFFERENT DENSITIES
• Thermophoresis and Brownian effects on natural convection of nanofluids in a square enclosure with two pairs of heat source/sink
• Dynamics of fluctuations and spinodal decomposition in polymer blends
• Unnamed Item

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