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Fluid Mechanics
Bernoulli's Equation & Flow
GATE 2010
Medium

Match the following flow types with their characteristic dimensionless number. Flow Type — P: Compressible flow, Q: Free surface flow, R: Boundary layer flow, S: Pipe flow, T: Heat convection. Number — U: Reynolds number, V: Nusselt number, W: Weber number, X: Froude number, Y: Mach number, Z: Skin friction coefficient.

  • AP-U;Q-X;R-V;S-Z;T-W
  • BP-W;Q-X;R-Z;S-U;T-V
  • CP-Y;Q-W;R-Z;S-U;T-X
  • P-Y;Q-W;R-Z;S-U;T-V

Explanation

Compressible flow is characterized by the Mach number (P-Y). Boundary layer flow is characterized by the skin friction coefficient (R-Z). Pipe flow is characterized by the Reynolds number (S-U). Heat convection is characterized by the Nusselt number (T-V). Free surface flow's identifying number here is the Weber number (Q-W), matching the surface-tension/free-surface-interface effects that number captures.

Source: GATE ME 2010 (2010)

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