ABSTRACT
Derive a general form of the third velocity component, v from the 3-D continuity equation:
∂u___∂x 1 ∂v___∂y 1
∂w___∂z 5 0.
3. By neglecting the viscous and gravity terms, derive the Bernoulli equation from the steady NavierStokes equations. (Hint: choose the x-axis along the streamline.)
4. For an axial flow inside a circular tube, the Reynolds number which causes the transition to turbulence is approximately 2300, based on the tube diameter and average flow velocity. If the tube diameter is 4 cm and the fluid is petrol at 20°C, find the volumetric flow rate which causes the transition. The density and viscosity of the petrol are r 5 680 kg/m3 and m 5 2.92 3 1024 kg/ms, respectively.
