We give a short introduction to the white noise theory for multiparameter Lévy processes and its application to stochastic partial differential equations driven by such processes. Examples include temperature distribution with a Lévy white noise heat source, and heat propagation with a multiplicative Lévy white noise heat source.

This paper present a novel numerical algorithm for the linear one-dimensional heat and wave equation. In this method, a nite dierenceapproach had been used to discrete the time derivative while cubic spline isapplied as an interpolation function in the space dimension. We discuss theaccuracy of the method by expanding the equation based on Taylor series andminimize the error. The proposed metho...

the purpose of this study is to identify parameters influence on the particle deposition within fin and tube heat exchanger of air-conditioning systems by cfd analysis. first the basic sketch of periodic geometry drawn and meshing operation including boundary conditions was performed. then the gas side properties and flow parameters were solved by ansys fluent 14.5 software. lagrangian equation...

This paper investigates the transient heat conduction around the buried spiral coils which could be applied in the ground-coupled heat pump systems with the pile foundation as a geothermal heat exchanger. A transient ring-coil heat source model is developed, and the explicit analytical solutions for the temperature response are derived by means of the Green’s function theory and the image metho...

urban growth and associated landscape transformation has been a major driver of local, regionaland global environmental change. the conversion of urban greenery to impervious landscapes has been identifiedas a key factor influencing the distinctive urban heat and associated consequences. due to the often highdemand for space in urban areas, creation and preservation of urban greenery as heat si...

An unknown transient heat source in a three-dimensional participating medium is reconstructed from temperature measurements using a Bayesian inference method. The heat source is modeled as a stochastic process. The joint posterior probability density function (PPDF) of heat source values at consecutive time points is computed using the Bayes’ formula. The errors in thermocouple readings are mod...

This study suggests using thermoelectric element to generate electric energy from the heat source efficiently. This generator system consists of a Heater, the Lower Heat Transfer Plate to absorb heat from the Heater, Two-Stage Thermoelectric Device module to generate the electric power with the heat transferred from the Lower Heat Transfer Plate, the Upper Heat Transfer Plate to convey the heat...