Abstract
An analysis of buoyancy-induced flow adjacent to a vertical surface dissipating a uniform flux in cold pure and saline water is presented. For these conditions a simple yet very accurate density relationship proposed by Gebhart and Mollendorf is employed to estimate the buoyancy force. To obtain a similarity solution under these conditions, the quiescent medium is considered to be at the temperature condition at which the density extremum occurs. A modified Grashof number is defined, based on the surface heat flux. The fifth-order two-point boundary value problem is solved by a fourth-order Runge-Kutta method, starting from an asymptotic solution at a large distance from the surface. Solutions are obtained for different pressure and salinity conditions over a Prandtl number range of 8.0 to 13.0, The following heat transfer correlation is proposed for all values of q(s, p) from 1.5829 to 1.8948: Nux = 0.577[Ra* x]1/(4 + q).
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