The inverse natural convection problem (INCP) in a porous medium is a highly non-linear problem because of the nonlinear convection and Forchheimer terms. The INCP can be converted into the minimization of a least-squares discrepancy between the observed and the modelled data. It has been solved using different classical optimization strategies that require a monotone descent of the objective f...

Abstract The evolution of unsteady gravitational-capillary convection in a layer ethyl alcohol with free surface after sudden electric heating one the vertical walls rectangular cavity was investigated numerically. effect incoming flow hot liquid on time temperature field opposite thin metal wall investigated. calculations were carried out by finite element method conjugate two-dimensional form...

The transient conjugate natural convection heat transfer in a differentially-heated cavity with partition of finite thickness and thermal conductivity are investigated numerically over the range Rayleigh number from 103 to 108, ratio that fluid 0.1 1000, dimensionless 0.05 0.2. An analysis obtained temperature contours profiles, time for onset stratification Nusselt shows effect is significant ...

Abstract This paper proposes a reduced-dimensional model for the structural optimisation of conjugate heat transfer between parallel plates with constant temperature and fluid channel varying height. The considers conduction convection through planar version convection-diffusion equation. To significantly reduce computational time process, assumptions on through-thickness velocity fields are ma...