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Thermal interface materials (TIM) employed to electronic devices enhances interfacial heat dissipation and thermal contact conductance (TCC). This study compares the performance of TIMs (silicon grease, phase change material (PCM) and composite PCM) on a copper-aluminum contact pair under varying range of contact pressure (0.1 to 0.4 MPa) and interface temperature (35 to 65 °C). Composite PCM is prepared by mixing aluminum powder to PCM in different mass concentrations (4, 8 and 25 wt.%). Result shows that addition of aluminum powder > 8 wt.% to PCM reduces its heat storage capacity and delays heat transfer. Moreover, TCC with silicon grease outperforms PCM by 108%, while CPCM (8 wt. %) is 144% more efficient but costlier than others. [ABSTRACT FROM AUTHOR]

In this paper, we provide a generating function for mix type Apostol-Genocchi polynomials of order η associated with Bell polynomials. We also derive certain important identities of Apostol Genocchi polynomials of order η based on Bell polynomials, such as the correlation formula, the implicit summation formula, the derivative formula, some correlation with Stirling numbers and their special instances. Moreover, we discover some symmetric identities and their related known results. [ABSTRACT FROM AUTHOR]

In this research article, we provide an extended Hurwitz–Lerch zeta function using the extended beta function. We have also investigated the new generalized Hurwitz–Lerch zeta function's exciting characteristics, such as integral representations, differential equations, the Mellin transform and special generating relations. In order to support the main result, we have additionally considered several notable specific cases. Furthermore, we have discussed the solution of the fractional kinetic equation using the new extended Hurwitz–Lerch zeta function. [ABSTRACT FROM AUTHOR]

In this article, we introduce a new class of generalized Humbert-Hermite polynomials of two variables. We are conscious that the present paper was inspired by a unified presentation of a class of two-variable Humbert's polynomials that generalize the well-known class of Gegenbauer, Humbert, Legendre, Chebycheff, Pincherle, Horadam, Kinnsy, Horadam-Pethe, Djordjevi'c, Gould, Milovanovi'c and Djordjevi'c, Pathan, and Khan polynomials. Also, we present well-known results by analyzing the particular values of the parameter. We give the surface representation of a generalized Humbert-Hermite polynomial using some particular values of the parameters. [ABSTRACT FROM AUTHOR]