Question 5 The velocity profile of a fluid flowing through an annulus is given by the following Navier-Stokes derived eq
Posted: Thu Jun 02, 2022 11:14 am
Question 5 The velocity profile of a fluid flowing through an annulus is given by the following Navier-Stokes derived equation: dP 1 2² - 12² + Inr₁ - 101₂ 22²-2²__(Inr-Inr₂) Uz dz 4μ Find the volumetric flow rate and average velocity of the fluid if the length of the annulus is 9.45m, the outer radius of the inner cylinder is 0.02m, the inner radius of the outer cylinder is 0.04m, fluid density is 1194 kg/m3, viscosity is 0.06 Pa.s, and the pressure drop across the pipe length is 28 260 Pa. Hint: For handling integrals involving a product with a natural logarithm, use the the law: Sudv=uv-fvdu