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List of top Fluid Mechanics and Thermal Sciences Questions on Froude Model Law asked in GATE ME

In a laboratory experiment using a scaled down model to measure scour at a bridge pier, the Froude number is important. The ratio of the prototype length to the model length is 100. If the velocity of the model is 1 m/s, the velocity (in m/s) of the prototype is:
  • GATE ME - 2025
  • GATE ME
  • Fluid Mechanics and Thermal Sciences
  • Froude Model Law
In the following two-dimensional momentum equation for natural convection over a surface immersed in a quiescent fluid at temperature \( T_\infty \) (g is the gravitational acceleration, \( \beta \) is the volumetric thermal expansion coefficient, \( \nu \) is the kinematic viscosity, \( u \) and \( v \) are the velocities in \( x \) and \( y \) directions, respectively, and \( T \) is the temperature) \[ u \frac{\partial u}{\partial x} + v \frac{\partial u}{\partial y} = g \beta (T - T_\infty) + \nu \frac{\partial^2 u}{\partial y^2}, \] the term \( g \beta (T - T_\infty) \) represents
  • GATE ME - 2022
  • GATE ME
  • Fluid Mechanics and Thermal Sciences
  • Froude Model Law