A single stable scheme for steady conjugate heat transfer problems

Fluid Flow and Heat Transfer of Nanofluids over a Flat Plate with Conjugate Heat Transfer

The falling and settling of solid particles in gases and liquids is a natural phenomenon happens in many industrial processes. This phenomenon has altered pure forced convection to a combination of heat conduction and heat convection in a flow over a plate. In this paper, the coupling of conduction (inside the plate) and forced convection of a non-homogeneous nanofluid flow (over a flat plate) ...

A stable and high-order accurate conjugate heat transfer problem

This paper analyzes well-posedness and stability of a conjugate heat transfer problem in one space dimension. We study a model problem for heat transfer between a fluid and a solid. The energy method is used to derive boundary and interface conditions that make the continuous problem well-posed and the semi-discrete problem stable. The numerical scheme is implemented using 2nd, 3rd and 4th orde...

A Hybrid Uncertainty Propagation Scheme for Convective Heat Transfer Problems

A computational analysis of convective heat flux around an array of cylinders in a high Reynolds number flow is presented; we assume that both the inflow and the wall heat flux conditions are specified with a margin of uncertainty and our objective is to quantify the resulting effect on some functional of interest, mainly the cylinder wall temperature. We introduce a hybrid uncertainty propagat...

A FAST MESH-FREE GALERKIN METHOD FOR THE ANALYSIS OF STEADY-STATE HEAT TRANSFER

The element-free Galerkin method is employed for two-dimensional analysis of steady-state heat transfer. The unknown response of the system, i.e. temperature is approximated using the moving least squares technique. Numerical integration of governing simultaneous system of equations is performed by Gauss quadrature and new modified nodal integration techniques. Numerical examples and tests have...

Abram S . Dorfman Conjugate Problems in Convective Heat Transfer