We study theoretically the nonlinear response properties of glass formers. We establish several general results, which together with the assumption of time-temperature superposition, lead to a relation between the nonlinear response and the derivative of the linear response with respect to temperature. Using results from mode-coupling theory and scaling arguments valid close to the glass transi...

Due to increasing applications of extended surfaces as passive methods of cooling, study of thermal behaviors and development of mathematical solutions to nonlinear thermal models of extended surfaces have been the subjects of research in cooling technology over the years. In the thermal analysis of fin, various methods have been applied to solve the nonlinear thermal models. This paper focuses...

The entropically based nonlinear Adam-Gibbs equation is discussed in the context of phenomenologies for nonlinear enthalpy relaxation within the glass transition temperature range. In many materials for which adequate data are available, the nonlinear Adam-Gibbs parameters are physically reasonable and agree with those obtained from linear relaxation data and thermodynamic extrapolations. Obser...

Temperature measurement is an important link in industrial production, also an important part of modern testing technology. The traditional single bridge circuit is already unable to meet the requirements of modern precise temperature measurement system on temperature measurement. The relation between the output voltage of general Wheatstone bridge and real strain is nonlinear. The nonlinear er...

We present a method to obtain approximate polynomial solutions for a class of second order nonlinear differential equations arising in heat transfer problems. We apply this method to find a approximate polynomial solution for the nonlinear temperature distribution equation of a thick rectangular fin. Key-Words: Nonlinear differential equation; boundary value problem; ε -approximate analytical a...

the acid-base status and arterial blood gas change with temperature variation. to determine the changes in arterial ph and pc02, arterial blood samples of 50 neonates with different clinical conditions were examined at temperatures of 35 to 42°c with an increment of 0.5° c, which resulted in two nonlinear equations with perfect fit on data. the temperature correction factors of these equations,...

in this paper, we investigate the application of the homotopy perturbation method (hpm) for solving a one-dimensional nonlinear inverse heat conduction problem. in this problem the thermal conductivity term is a linear function with respect to unknown heat temperature in bounded interval. furthermore, the temperature histories are unknown at the end point of the interval. this problem is ill-po...

in this paper, the nonlinear differential equation for the convection of the temperature distribution of a straight fin  with the thermal conductivity depends on the temperature is solved using adomian decomposition method and padé approximation(padm) for boundary problems. actual results are then compared with results obtained previously  using digital solution by runge–kuttamethod and a diffe...