Tan, Wenchang; Masuoka, Takashi Stokes’ first problem for a second grade fluid in a porous half-space with heated boundary. (English) Zbl 1349.76830 Int. J. Non-Linear Mech. 40, No. 4, 515-522 (2005). Summary: Based on a modified Darcy’s law, Stokes’ first problem was investigated for a second grade fluid in a porous half-space with a heated flat plate. Exact solutions of the velocity and temperature fields were obtained using Fourier sine transforms. In contrast to the classical Stokes’ first problem, there is a steady-state solution for the second grade fluid in the porous half-space, which is a damping exponential function with respect to the distance from the flat plate. The well-known solutions for Newtonian fluids in non-porous or porous half-space appear in limiting cases of our solutions. Cited in 132 Documents MSC: 76S05 Flows in porous media; filtration; seepage 80A20 Heat and mass transfer, heat flow (MSC2010) Keywords:second grade fluid; porous media; modified Darcy’s law; analytical solution; Stokes’ first problem; heat transfer PDFBibTeX XMLCite \textit{W. Tan} and \textit{T. Masuoka}, Int. J. Non-Linear Mech. 40, No. 4, 515--522 (2005; Zbl 1349.76830) Full Text: DOI