Quarterly of Applied Mathematics, Volume 12Brown University, Division of Applied Mathematics, 1954 - Mathematics |
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A₁ A₂ applied approximation assumed asymptotic axis beam Bessel Functions boundary conditions boundary layer cavity chapter coefficients components computed conformal mapping consider constant convection coordinates Coriolis force corresponding cosh defined denote derivatives determined differential equations discussion distribution eigenvalue elastic energy field finite flow fluid formula frequency given heat Hence integral equation introduce linear m₁ Math mathematical method motion obtained ordinary differential equations orthogonal partial differential equations physical plane plate polynomial problem respectively roots satisfy sinh solution curve spectral stagnation point stress supersonic surface surface tension temperature tensor theorem theory transfer function transformation turbulence V₁ values vanish variables vector velocity viscosity w₁ wave zero ди дх ду