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)

u u x + v u y = g β ( T T ) + ν 2 u y 2

the term gβ(T - T∞) represent

Options :

  1. Ratio of inertial force to viscous force

  2. Ratio of buoyancy force to viscous force

  3. Viscous force per unit mass

  4. Buoyancy force per unit mass

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Answer :

Buoyancy force per unit mass

Solution :

β = 1 V ( V T )

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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