Entry requirements

Mechanics I and Scientific Computing

Learning outcomes

After the completion of the course, the student should be able to

• compute fluid pressure on immersed surfaces
• visualise the flow pattern in the Eulerian approach
• use the control volume concept to derive simplified one-dimensional forms of the conservation equations of mass, momentum, and energy.
• compute convective and local acceleration and apply the Bernoulli equation to solve for the pressure and velocity distribution in a flow field.
• apply the concept of the momentum and moment of momentum equations to determine components of forces acting on fluid jets, nozzles, vanes and pipes
• apply of the energy equation to determine viscous losses, power required by a pump to lift a fluid mass to a certain height, or power delivered by a turbine due to a drop in elevation.
• use the concepts of laminar and turbulent flow, calculate velocity distribution, and discharge through circular pipes with joints and in natural and lined open channels in a steady flow field
• solve problems concerning varied flow in open channels using the concept of specific energy.

Content

Physical properties of fluids and gases, equilibrium of fluids (hydrostatics), conservation principles in continuum mechanics, the control volume concept, Eulerian and Lagrangian methods, energy, momentum, and continuity equations, Euler and Bernoulli equations, relation between stress and strain rate, differential analysis of fluid motion, similarity analysis, laminar and turbulent flow, boundary layers, uniform and non-uniform flows in open and closed systems (flow in pipes). Demonstration: 1. Energy distribution and losses in a closed hydraulic system 2. Sub-critical and Super critical flows in open channels

Instruction

Lectures, exercises, laboratories, and laboratory reports.

Assessment

Grading is based on a written exam (4 credits) and written laboratory reports (1 credit).