We study a singularly perturbed second-order differential equation describing slowly and periodically varying hamiltonian system. Typical dynamics governed by this type of system are, for example, equations Duffing or the “shallow water sloshing” problem. Using symmetries singular perturbation tools, we describe dynamics, splitting phase space in regions where motion is oscillatory others it un...

The present numerical investigation examines the performance improvement of thermoelectric generators (TEGs) by using phase change materials (PCM) and porous medium. Due to high latent heat PCMs, both sides TEG were filled with paraffin RT35 (on cold-side) RT69 hot-side). PCM in cold-side was used as a heat-sink whereas hot-side reduce output voltage fluctuations. Since system periodically subj...

An analysis of radiation and soret effect on visco-elastic mhd oscillatory flow with heat and mass transfer through a porous medium bounded by two infinite horizontal parallel porous plates in presence of chemical reaction and a heat source has been presented when one plate is kept at rest while the other is oscillating in its own plane. The fluid is considered to be non-Newtonian characterized...

The paper deals with comparison of different continuous-time strategies applied to control of singleinput single-output (SISO) periodically time-varying systems with delay. The first method is based on the fractional representation in the ring of proper and stable rational functions (RPS), general solutions of Diophantine equations and conditions of divisibility while the other two methods use ...

This paper describes a systematic approach to the robustness analysis of linear periodically time-varying (LPTV) systems. The method uses the technique known as Lifting to transform the original time-varying uncertain system into linear fractional transformation (LFT) form. The stability and performance robustness of the system to structured parametric uncertainty can then be analysed non-conse...

Stochastic inverse problems in heat conduction with consideration of uncertainties in the measured temperature data, temperature sensor locations and thermophysical properties are addressed using a Bayesian statistical inference method. Both parameter estimation and thermal history reconstruction problems, including boundary heat flux and heat source reconstruction, are studied. Probabilistic s...

Numerical solutions for heat and mass transfer by laminar flow of a Newtonian, viscous, electrically conducting chemically reacting viscous dissipative fluid on a continuously vertical permeable surface in the presence of a heat source, a first – order homogeneous chemical reaction and the mass flux are reported. The plate is assumed to move with a constant velocity in the direction of fluid fl...

Delays in gene networks result from the sequential nature of protein assembly. However, it is unclear how models of gene networks that use delays should be modified when considering timedependent changes in temperature. This is important, as delay is often used in models of genetic oscillators, such as circadian oscillators, that can be entrained by periodic fluctuations in temperature. Here, w...