Q1: The momentum correction factor (β) for the viscous flow through a circular pipe is

ANS:B - 1.33

The momentum correction factor (β) for viscous flow through a circular pipe is approximately 1.33. The momentum correction factor accounts for the effects of viscosity on the flow of fluid through a pipe, particularly in turbulent flow conditions. It adjusts the theoretical (or ideal) momentum calculated based on the flow velocity to account for the energy losses due to the presence of viscosity. The actual momentum in a pipe is less than the theoretical momentum due to viscous losses. Therefore, the momentum correction factor is applied to adjust the theoretical momentum to approximate the actual momentum. In the case of turbulent flow through a circular pipe, the momentum correction factor is empirically determined to be around 1.33. This means that the actual momentum in the pipe is approximately 1.33 times less than the theoretical momentum calculated based on the flow velocity alone. Hence, the correct option is: 1.33.