- Able to formulate and solve a macroscopic balance for mass, momentum and/or energy in case of flow through a control volume
- Able to determine the velocity and shear stress profile for fluid flow through simple geometries (2D, 3D tube flow), starting from the micro-balance for momentum, for different boundary conditions (gas-solid, liquid-solid, liquid-gas). Being able to calculate the flow rate and force exerted to the wall by the fluid.
- Understand terms as Reynolds number, laminar flow and turbulent flow. Being able to use these terms in the right context.
- Able to apply Bernoulli’s Law for flow at high and at low Reynolds numbers.
- Able to determine the flow resistance for piping systems and for flow past objects of simple geometry (spheres, cylinders)
- Able to formulate and solve the equation of motion for particles moving in a fluid under influence of gravity and/or uplift
The transport phenomena concerns transport of the three conserved quantities: mass, momentum and energy. In this course on fluid dynamics we focus on the transport of momentum. The course uses a systematic approach to describe quantitatively fluid flow phenomena occurring in chemical technology and engineering practice. Starting point in these approaches is the use of the laws of conservations for mass and momentum. These dictate that these quantities can only change, for a given control volume, by means of inflow and outflow or (in case of momentum)by an external force exerted. These ‘conservation law’-principles can be applied to macroscopic volumes (“macro balances”) but also to infinite small volumes (“micro balances”). This results in the Navier-Stokes equation, which is the fundamental basic differential equation for describing Fluid Dynamics. It is at the basis of nearly all fluid dynamic problems, as encountered in e.g. meteorology, aerodynamics, aeronautics, process technology and bio-rheology. In this course relatively simple, but frequently encountered examples will be discussed, like tube flow and flow past a sphere or a bed of spheres.
This course is only accessible for students of the Pre-Master CSE.