FLUID MECHANICS  CASE STUDY



Introduction

Wind Tunnel Experiment


A windtunnel experiment
is conducted to study the effect of wind on tall buildings. In order
to obtain the volumetric flow rate through the test section of the wind
tunnel, engineers are first asked to determine the pressure drop between
points A and B using a differential Utube manometer. The fluid in the wind tunnel has a density of 1000 kg/m^{3} while the density of the gage fluid is 1600kg/m^{3}. Column heights are given as h_{1 }= 1.25 m and h_{2 }= 0.75 m. 



UTube Differential Manometer


Question


First derive an equation for the pressure drop (p_{A } p_{B}).
Then, calculate the value of (p_{A } p_{B}) for the
given values of fluid densities and column heights.


Approach


Although the fluid in the wind tunnel is flowing,
the fluid in the manometer remains stationary. Hence, hydrostatic pressure
analysis is still valid to determine the pressure drop. 


