This paper is devoted to introduce a novel method of the operational matrix of integration for Legendre wavelets in order to predict\nthe thermal behavior of stratospheric balloons on float at high altitude in the stratosphere. Radiative and convective heat transfer\nmodels are also developed to calculate absorption and emission heat of the balloon film and lifting gas within the balloon. Thermal\nequilibrium equations (TEE) for the balloon system at daytime and nighttime are shown to predict the thermal behavior of\nstratospheric balloons. The properties of Legendre wavelets are used to reduce the TEE to a nonlinear system of algebraic\nequations which is solved by using a suitable numerical method. The approximations of the thermal behavior of the balloon film\nand lifting gas within the balloon are derived. The diurnal variations of the film and lifting gas temperature at float conditions\nare investigated, and the efficiency of the proposed method is also confirmed.
Loading....