Analysis demonstrates flow and heat transfer characteristics in a saturated medium, suggesting important implications for thermal management.
An analysis is carried out to study the flow heal and transfer charactertistics in a saturated por aus medium over an impermeable stretching sheet with frictional hearing and internal hear generation or absorption. Two cases are studied namely (i) the sheet with prescribed surface temperature (PST-case) and (ii) the sheet with prescribed wall heat flux (PHF-case). Exact solutions for the velocity field and the skin friction are obtained. Also, the solutions for the temperature, the heat transfer characteristics and their asymptotic limits for large and small Prandtl numbers are obtained in terms of Kummer's and parabolic cylinder functions. For large Prandtl numbers (sigma), a thermal boundary layer width of root 1/sigma is noticed in both PST and PHF cases. Furthermore, it is shown that there is no boundary layer type of solution for small Prandtl number.
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A 1995 study studied this question.
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