Zaman, F. D.; Al-Khairy, R. Cooling of a plate with general boundary conditions. (English) Zbl 0955.35036 Int. J. Math. Math. Sci. 23, No. 7, 477-485 (2000). Summary: We consider the steady state temperature distribution in a homogeneous rectangular infinite plate the lower part of which is cooled by a fluid flowing at a constant velocity while the upper part satisfies general mixed boundary conditions. The Wiener-Hopf method has been used to obtain the solution in infinite series form and some special cases have been discussed. MSC: 35K20 Initial-boundary value problems for second-order parabolic equations 45E10 Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) 80A20 Heat and mass transfer, heat flow (MSC2010) 35C10 Series solutions to PDEs Keywords:steady state temperature distribution; rectangular infinite plate; mixed boundary conditions; Wiener-Hopf method PDFBibTeX XMLCite \textit{F. D. Zaman} and \textit{R. Al-Khairy}, Int. J. Math. Math. Sci. 23, No. 7, 477--485 (2000; Zbl 0955.35036) Full Text: DOI EuDML