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For an application where the Reynolds number is to be kept constant, a liquid with a density of 1 g cm\(^-3\) and viscosity of 0.01 Poise results in a characteristic speed of 1 cm s\(^-1\). If this liquid is replaced by another with a density of 1.25 g cm\(^-3\) and viscosity of 0.015 Poise, the characteristic velocity will be ......... cm s\(^-1\) (rounded off to one decimal place).

  • GATE MT - 2025
  • GATE MT
  • Transport Phenomena and Rate Processes
  • Viscosity

Consider a fully developed, steady, one-dimensional, laminar flow of a Newtonian liquid through a pipe. The maximum velocity in the pipe is proportional to which of the following quantities? 
Given: \( \Delta P \) is the difference between the outlet and inlet pressure, \( \mu \) is the dynamic viscosity of the liquid, and \( R \) and \( L \) are the radius and length of the pipe, respectively.

  • GATE MT - 2025
  • GATE MT
  • Transport Phenomena and Rate Processes
  • Viscosity
At high temperatures, which one of the following empirical expressions correctly describes the variation of dynamic viscosity $\mu$ of a Newtonian liquid with absolute temperature $T$? Given: A and B are positive constants.
  • GATE MT - 2025
  • GATE MT
  • Transport Phenomena and Rate Processes
  • Viscosity