In this study, a simple and accurate solution for the temperature distribution of convective-radiative straight rectangular fins with temperature-dependent thermal conductivity is presented using an analytical method called the Differential Transformation Method (DTM). The governing differential equation for the temperature distribution in present problem contains two nonlinear terms, one due t...

Radiation from relativistic runaway electrons is considered as a source for plasma frequency radiation in tokamaks. Two specific emission mechanisms, Cerenkov emission, and radiation produced by nonlinear coupling of plasma and acoustic waves, are studied. In many cases the Cerenkov emission provides a reasonable spectral fit. It can also be used to measure the runaway current, and to est'imate...

The present contribution deals with the thermophoretic deposition of nanoparticles over a rapidly rotating permeable disk in the presence of partial slip, magnetic field, thermal radiation, thermal-diffusion, and diffusion-thermo effects. The governing nonlinear partial differential equations such as continuity, momentum, energy and concentration are transformed into nonlinear ordinary differen...

The present paper deals with the study of fluid flow and heat transfer characteristics occurring during the melting process due to a stretching surface in micropolar fluid with thermal radiation. A uniform magnetic field is applied normal to surface. The governing equations representing fluid flow have been transformed into nonlinear ordinary differential equations using similarity transformati...

This article addresses the boundary layer flow and heat transfer of Casson fluid over a nonlinearly permeable stretching surface with chemical reaction in the presence of variable magnetic field. The effect of thermal radiation is considered to control the rate of heat transfer at the surface. Using similarity transformations, the governing partial differential equations of this problem are red...

High quality (Q) factor whispering gallery modes (WGMs) can induce nonlinear effects in liquid droplets through mechanisms such as radiation pressure, light scattering, thermocapillarity, Kerr nonlinearity, and thermal effect. However, such nonlinear effects have yet to be thoroughly investigated and compared in the literature. In this study, we first investigate a micron-sized liquid spherical...

this study is considering a micropolar fluid flow over a porous stretching sheet in the presence of thermal radiation and uniform magnetic field. the effects of local variation in thermal conductivity of micropolar fluid on heat transfer rate from the sheet are investigated; besides, the impacts of radiation, magnetic field and porous sheet on variations of thermal boundary layer thickness are ...

The introduction of a plasma in a free-electron laser (FEL) helps radiation guiding via nonlinear refraction. At highradiation power density, when oscillatory electron velocity is comparable to the electron thermal velocity, the radiation pushes plasma radially out, forming a depleted plasma duct and guiding the radiation. The radius of the self-trapped laser is ~C/OJPO , where UJPO is the unpe...

Temperature measurements are important for thermal-structural experiments in the thermal radiation heating environments such as used for thermal-structural stress analyses. This paper describes the use of multicolor pyrometry for the measurements of diffuse surfaces in thermal radiation environments that eliminates the effects of background radiation reflections and unknown emissivities based o...