The problem of a hydromagnetic hot two-dimensional laminar jet issuing vertically into an\r\notherwise quiescent fluid of a lower temperature is studied.We propose solutions to the boundary\r\nlayer equations using the classical Fourier series. The method is essentiall to transform the\r\nboundary layer equations to a coupled set of nonlinear first-order ordinary differential equations\r\nthrough the Fourier series. The accuracy of the results has been tested by the comparison of the\r\nvelocity distributions obtained by the Fourier series with those calculated by finite difference\r\nmethod. The results show that the present method, based on the Fourier series, is an efficient\r\nmethod, suitable to solve boundary layer equations applied to plane jet flows with high accuracy
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