List of top Transport Phenomena and Rate Processes Questions asked in GATE Metallurgical Engineering

The diameter of spherical galena particles that have the same settling velocity as spherical quartz particles of diameter 25 μm (both settling in water) is ............. μm (rounded off to one decimal place). Assume Stokes law of settling to be valid. Given: Density of galena = 7400 kg m$^{-3}$, density of quartz = 2600 kg m$^{-3}$, density of water = 1000 kg m$^{-3}$.
For an application where the Reynolds number is to be kept constant, a liquid with density of 1 g per cubic cm and viscosity of 0.01 Poise results in a characteristic speed of 1 cm per second. If this liquid is replaced by another with density of 1.25 g per cubic cm and viscosity of 0.015 Poise, the characteristic velocity will be ........... cm per second (rounded off to one decimal place). Assume the characteristic length of the flow to be the same in both cases.
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 radius and length of the pipe, respectively.
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.)

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).

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.

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.