One-dimensional analysis of compressible flow in solar chimney power plants

Desalination of seawater by spray freezing in a natural draft tower

“…To solve the one-dimensional compressible airflow in a high tower, a method for calculating this buoyant flow induced by the variation of air density was proposed in [43], validated by [44] and further developed by [45]. But the forces that coupling between discrete water droplets and continuous air were not considered in those models, which are not neglected in the model of this paper.…”

“…In [49], the pressure losses are suggested as: ዠቓ ለሉሆዶሂዽሂ is the turbine inlet pressure loss with ዾ ለሉሆዶሂዽሂ ቭ ናህኔኗ ; ዠቓ ዶሆ is the pressure loss due to the internal bracing wheel (for strengthening the tower) drag forces with ዾ ዶሆ ቭ ናህንኘ; ዠቓ ዿ is the pressure loss due to exit kinetic energy loss with ዾ ዿ ቭ ኔህንኙ. ዠቓ ለ is the air collector-to-chimney (airflow from horizontal to vertical) transition section pressure loss with ዾ ለ ቭ ናህንኙኛ [45]. ታ ድሂዽሂ and ታ ድሂሃሉለ represent the velocity of air at the inlet and outlet of the tower respectively.…”

Performance analysis of a solar chimney power plant for different geographical locations of Saudi Arabia

“…Xu and Zhou [14] carried out simulations of divergentchimney solar power plants (DSPPs) by changing chimney's outlet-to-inlet area ratios (COAR) over a wide range and obtained maximum power of 231.7 kW at COAR = 8.7. Ćoćić and Djordjević [15] used onedimensional flow model to obtain the values of physical properties such as velocity, temperature, pressure, and air density in collector and the chimney considering compressible flow. The model results tested on existing plants (Manzanares and Enviromission) showed good agreement between the two.…”

Compressible flow through solar chimneys with variable cross section - an exact solution

“…Characteristics of the flow are expressed in terms of Mach number, and particular attention has been paid to the evaluation of pressure drop in the chimney and the effect of variable cross-section ("flaring" effect). In [1] a comprehensive study of 1-D flow in all constitutive parts of a SCPP is presented, i.e., at the inlet into the collector, collector itself, turbines, collector-to-chimney transition section and the chimney with constant cross-section. This complex problem is solved numerically.…”

“…The flow is compressible, adiabatic and viscous, and driven by buoyancy. As in [1] we use Mach number and Froude number as nondimensional dependent variables instead of velocity and temperature. We show that the system of nonlinear differential equations of the first order, that govern this flow, possesses exact solutions which can be found by ordinary mathematical operations for an arbitrary shape of the chimney.…”