کاربرد روش تبدیل دیفرانسیلی در تعیین فرکانسهای طبیعی تیر اولربرنولی با پهنای متغیر و شرایط تکیه گاهی مختلف

In this paper, flow andlaminar convective heat transfer of nanofluids in two dimensional parallel plate microchannel have been studied without and with considering the conjugate heat transfer numerically.two types of nanoparticles are considered in this study, the aluminium oxide and titanium oxide with the diameters of 47nm and 27 nm, respectively .the simulation is conducted for re?16, 1% to 4% volume concentration range, and for different conductivities of heat sink. moreover, the two phase homogenous mixture model has been used to study the fluid. continuity, momentum, energy and volume fraction of nanoparticles equations are solved using a finite volume method. it is observed that the heat transfer rate enhances with an increase in reynolds number, conductivity of heat sink and the use of the nanofluid alumina/ water in comparison with titanium oxide/water. homogeneous two-phase mixture model results are in good agreement with the numerical results of other researchers.