The Grashof number is a dimensionless number, named after Franz Grashof. The Grashof number is defined as the ratio of the buoyant to viscous force acting on a fluid in the velocity boundary layer. Its role in natural convection is much the same as that of the Reynolds number in forced convection. Natural convection is used if this motion and mixing is caused by density variations resulting from temperature differences within the fluid. Usually the density decreases due to an increase in temperature and causes the fluid to rise. This motion is caused by the buoyant force. The major force that resists the motion is the viscous force. The Grashof number is a way to quantify the opposing forces. The Grashof number is defined as: where: g is acceleration due to Earth’s gravity β is the coefficient of thermal expansion T wall is the wall temperature T ∞ is the bulk temperature L is the vertical length ν is the kinematic viscosity. For gases β = 1/T where the temperature is in K
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