Question
In the following two-dimensional momentum equation for natural convection over a surface immersed in a quiescent fluid at temperature T∞ (g is the gravitational acceleration, β is the volumetric thermal expansion coefficient, ν is the kinematic viscosity, u and v are the velocities in x and y directions, respectively, and T is the temperature)
the term gβ(T - T∞) represent
Options :
Ratio of inertial force to viscous force
Ratio of buoyancy force to viscous force
Viscous force per unit mass
Buoyancy force per unit mass
Answer :
Buoyancy force per unit mass
Solution :
β =
β is the volumetric thermal expansion which, signify the buoyancy forces. The term gβ(T - T∞) represents buoyant force per unit mass.
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