Trivedi, Gautam; Agrawal, H. C. Transient nonlinear heating and cooling of a plate with heat generation. (English) Zbl 0514.73130 J. Math. Phys. Sci. 16, 283-300 (1982). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page MSC: 74A15 Thermodynamics in solid mechanics 80A20 Heat and mass transfer, heat flow (MSC2010) 74K20 Plates 35A22 Transform methods (e.g., integral transforms) applied to PDEs Keywords:transient heating and cooling; plate subjected to convection and radiation at boundaries; constant thickness; infinitely on two directions; variable initial temperature; placed in contact with fluid; determination of transient temperature; adimensionalises temperature equation; Laplace transform; heat conduction equation; transformed to nonlinear Volterra integral equation for surface temperature; solved numerically PDFBibTeX XMLCite \textit{G. Trivedi} and \textit{H. C. Agrawal}, J. Math. Phys. Sci. 16, 283--300 (1982; Zbl 0514.73130)