The analysis of heat conduction through a solid with heat generation leads to a linear matrix differential equation with separated boundary conditions. We present a symmetric second order exponential integrator for the numerical integration of this problem using the imbedding formulation. An algorithm to implement this explicit method in an efficient way with respect to the computational cost o...

P arallel process units are often encountered in chemical process systems for different considerations, e.g., parallel reactors from reactor network synthesis, parallel columns for heat integration. One notable example is the feed split configuration of heatintegrated distillation columns. In this work, the control of parallel processes is illustrated with the heat-integrated distillation colum...

The first purpose of this note is to provide a proof of the usual square function estimate on L(Ω). It turns out to follow directly from a generic Mikhlin multiplier theorem obtained by Alexopoulos, which mostly relies on Gaussian bounds on the heat kernel. We also provide a simple proof of a weaker version of the square function estimate, which is enough in most instances involving dispersive ...

Optoelectronic devices such as vertical cavity surface emitting lasers (VCSEL’s) generate large heat power densities on the order of 100’s of Wlcd . A novel device structure consisting of a two-stage monolithically integrated thin film thermionic and thermoelectric cooler is proposed to accommodate these cooling requirements. By optimizing the geometry of each stage, improved heat spreading can...

The purpose of our study is to investigate the heat distribution and the occurring temperatures during grinding. Therefore, we did both experimental and numerical investigations. In the first part, we present the integration of an infrared thermopile array in a steel workpiece. Experiments are done by acquiring data from the thermopile array during grinding of a groove in a workpiece made of st...

We propose in this paper an effective meshless and integration-free method for the numerical solution of multidimensional inverse heat conduction problems. Due to the use of fundamental solutions as basis functions, the method leads to a global approximation scheme in both the spatial and time domains. To tackle the ill-conditioning problem of the resultant linear system of equations, we apply ...

The numerical methods of the structural design optimization with transient response constraints have been studied in the paper. The new methods of the response analysis and sensitivity analysis for the transient dynamics and the heat conduction constraints with the precise time integration have been proposed. Particularly, an efficient method of sensitivity analysis for nonlinear transient heat...

Oil refinery is one of industries that require huge energy consumption. The today technology advance requires energy saving. Heat integration is a method used to minimize the energy comsumption though the implementation of Heat Exchanger Network (HEN). CPT is one of types of Heat Exchanger Network (HEN) that functions to recover the heat in the flow of product or waste. HEN comprises a number o...

• The combined CO 2 reduction potential is dependent on the deployment sequence. Deployment of mitigation measures opens and closes paths. Conservative estimates do not represent heat integration measures. Approaches (e.g. MACC) are fit for assessment Heat pumps have a high with sensitivity to changes.