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    Analytical Solution of the Thermal Entrance Heat Transfer Problem for Viscous Flow in Annulus 

    Source: Journal of Heat Transfer:;2016:;volume( 138 ):;issue: 007:;page 74504
    Author(s): Vachagina, E. K.; Kadyirov, A. I.
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: The Graetz–Nusselt problem with Brinkman extension is considered for steadystate laminar Newtonian flow in annuli. To solve the problem, a separation of variables method is used. In the limiting cases, the eigenvalues ...
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    A Method to Solve the Heat Transfer Problem in a Circular Duct With an Internal Longitudinal Fin 

    Source: Journal of Heat Transfer:;2020:;volume( 142 ):;issue: 011:;page 0114502-1
    Author(s): Vachagina, E. K.; Kadyirov, A. I.; Sibgatova, K. I.; Yunusova, V. S.; Gurmanchuk, E. P.
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: The heat transfer problem in a circular duct with an internal longitudinal fin is investigated under constant wall temperature. Different fin heights are considered. The problem is solved in two stages. In the first stage, ...
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