The dimensionless vertical velocity  inside two vertical plates at distance  and temperatures  and  is computed for specified Grashov number  , where  is the velocity  ,  is the distance in meters,  is the kinematic viscosity in  ,  is the gravitational acceleration in  , and  is the volumetric coefficient of thermal expansion in  . For a fixed Grashov number,  determines black points on the curve, followed by the numerical values of  . Thus for any  and  the precise values of the velocity are available. The frame ticks change with Grashov number  , which conveniently lets you observe that the shape of the velocity distribution did not change.
The vertical velocity of an incompressible Boussinesq fluid with constant properties inside two vertical plates at distance  and temperatures  and  is determined assuming zero pressure gradient and that the temperature and velocity depend only on the horizontal coordinate  . The models for temperature and velocity are where  is the gravitational acceleration  ,  is the volumetric coefficient of thermal expansion  ,  is the kinematic viscosity  , and  is the average temperature  . To reduce the number of parameters, we introduce the dimensionless quantities where  is the dimensionless horizontal coordinate,  is dimensionless temperature,  is the Grashnov number, and  is the dimensionless vertical velocity. Then the temperature and velocity models become The solutions of the models are  ,  .
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