The concern of this paper is to compare the computational efficiencies and accuracies of three approximate analytical methods; namely, homotopy analysis method (HAM), optimal homotopy asymptotic method (OHAM) and differential transform method (DTM) for the nonlinear thermal performance analysis of a convective-radiative porous fin with temperature-dependent internal heat generation under the influence of magnetic field. To establish the computational accuracies of the three methods, the results of the three series solutions are compared with the results of the developed exact analytical and numerical methods. Also, the symbolic solutions developed in this work are used to explore the impacts of the controlling parameters on the performance of the passive device. It is established that as the coductive-convective, conductive-radiative and magnetic field parameters increase, the fin temperature distribution decreases and hence, the fin thermal efficiency is improved. An increase in temperature distribution in the fin is noticed as the nonlinear thermal conductivity parameter increases. It is envisaged that the present study will give a good insight into the nonlinear analysis of extended surfaces which will aid proper design in thermal systems.

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Power consumption by telecommunication industrial loads is increasing day by day as the user of this technology is on the rise. Telecommunication base station towers are consuming twice or more energy than in the past for the implementation of high-capacity devices to serve more users. As a result, there is an extra power requirement for the telecommunication loads which can cause an inadequate power supply and lead to the implementation of additional infrastructure in the power industry. Powering these resources will demand more energy production and introduce various types of new problems in the grid network. The impact analysis of the effect of this extra demand in a regular network system has great interest. Also, most of the base stations are equipped with a backup battery as an essential need in third-world country grids and contribute a portion of the load demand of a power distribution system. All telecommunication industrial towers are considered under industrial load and have a special industrial tariff imposed by the power supply authority. This paper utilizes the optimal power flow method to calculate a proposed schedule base demand-side management system adopted to shift the pattern of charging batteries along with temperature control loads in the telecommunication towers and outlines an analytical study on a test power grid network. To determine the best electricity flow, generation, and locational marginal prices for each hour, an algorithm is created. Following careful evaluation of the appliance status, the constraint and condition are then applied to the load curve. This study indicates there is energy-saving and both supplier and consumer sides can minimize the operation cost.

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The free vibration analysis of the homogenous magneto-electro-elastic (MEE) plate based on a refined first-order shear deformation theory and moving Kriging meshfree method is presented in this paper. The refined first-order shear deformation theory (RFSDT) only includes four variables and reduces one variable when comparing to original first-order shear deformation theory. The MEE materials which are coupled between piezoelectric and piezomagnetic effects, are combined of BaTiO3 and CoFe2O4 materials. The magnetic and electric potentials satisfying to the Maxwell equations are assumed to be a combination of cosine and linear variations along the plate thickness. The coupled governing equations of motion of the MEE plates are obtained by using the principle of extended virtual displacement. These equations are solved to achieve the natural frequency of MEE plates by utilizing the moving Kriging meshfree method. Several numerical examples are examined to evaluate the influence of the geometrical parameter on the natural frequency of the MEE plates.

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This study combines the isogeometric approach (IGA) and refined plate theory (RPT) with two variables to investigate buckling behavior of magneto-electro-elastic (MEE) foam plates resting on an elastic foundation. The pores in the MEE foam plates are arranged in three patterns: uniform, symmetric, and asymmetric distributions across the plate thickness. The elastic foundation supported by Winkler and Pasternak is utilized to approach computational model. The governing equations are derived by using RPT and Hamilton’s principle. The Non-Uniform Rational B-Splines (NURBS) basic functions in the IGA method are used to approximate the displacement fields, magnetic and electric potentials. The critical buckling load of the MEE foam plates is determined by solving the above governing equations with the help of the IGA. The study investigates and discusses the influence of various parameters such as the porosity distributions, porous coefficient, external electric voltage and magnetic potential, spring/shear coefficients of the elastic foundation, and the geometry of the MEE foam plates on the critical buckling load. The results show that these parameters significantly influence the buckling behavior of the MEE foam plates. This study provides valuable insights into the buckling behavior of magneto-electro-elastic foam plates and can inform the design of novel materials and structures with tailored properties.

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In the thermal analysis of moving fins, there have been conflicting results as well as discussion on the effects of Peclet number on the thermal responses of fins. While some authors agreed the increase in Peclet number, increases the fin temperature, the other class of researchers is of the opinion that when the Peclet number increases, the fin temperature decreases. It could be said that many of these divergence views arose from the physics of the problem as well as the mathematical model governing the heat transfer problem. Therefore, in this work, through modeling from the first principle, the effect of Peclet number on the thermal behaviour of convective-radiative moving porous fin is explored. First, a transient thermal model of a convective-radiative rectangular moving porous fin with temperature-dependent internal heat generation is developed. The developed thermal model is nondimensionalized to bring up the needed Peclet number in the dimensional governing equation of the heat transfer process. Thereafter, the model is solved analytically using the Laplace transform method and the effect of Peclet number on the thermal behaviour of the fin is investigated and discussed. It is hoped that the present study will help for better understanding of the thermal problems in extended surfaces.

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