Fortunately, most of the boundary value problems involving linear partial differential equations can be solved by a simple method known as themethod of separation of variableswhich furnishes particular solutions of the given differential equation directly and then these solutions can be suitably combined to give the solution of the physical problems. This volume of articles, derived from the workshop 'PDEs in Fluid Mechanics' held at the University of Warwick in 2016, serves to consolidate, survey and . T(t) be the solution of (1), where X is a function of x only and T is a function of t only. Find the steady temperature distribution at points in a rectangular plate with insulated faces and the edges of the plate being the lines x = 0, x = a, y = 0 and y = b. If it is releasedfrom this position, findthe displacement y at any time and at any distance from the end x = 0 . We begin by considering the flow illustrated in Fig. Find the steady state. 2021. Using the above conditions, we get b = 40, a = 2/3. C and kept so. 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