MEK4020 ¨C Viscous liquids and elastic materials

Course description

• Course content
• Learning outcome
• Admission
• Prerequisites

• Overlapping courses
• Teaching
• Examination

Course content

MEK4020 gives an introduction to continuum mechanics and the mathematical description of forces, stresses and deformations in viscous fluids and elastic materials. The course focuses on the stress tensor, Cauchy¡¯s stress-strain relations, deformations and strain. We study Hooke¡¯s law for elastic matter, Newton¡¯s law of friction in fluids, as well as simple viscoelastic models (stress-strain relations). We consider the derivation of fundamental equations of motion and conservation equations.

Learning outcome

After completing this course you will:

• master vectors and tensors, index notation, stress tensors for fluids and liquids, Cauchy stress rate, the principal stresses and principal stress directions;
• have knowledge of deformation (strain) and strain rates, deformation tensors, Hooke's law for elastic materials, Newton's friction law for liquids, simple viscoelastic models (stress-strain relations), Navier-Stokes equation and motion of isotropic elastic materials;
• have knowledge of explicit solutions of the equations of elastic materials: Stress distribution due to gravity, axial stretch, torsion of cylindrical rod, longitudinal and transversal (p- and s-) waves, reflection of waves;
• have knowledge of explicit solutions of equations for viscous fluids: Couette flow, laminar pipe flow, flow on inclined planes, boundary layers;
• have knowledge of the energy equation, energy dissipation, heat transfer equation, heat conduction, Fourier's law, thermally driven flow, creep flow.;
• have knowledge of scaling and principles of modeling.

Admission

To take this course you must have been enrolled in the following study programme:

• Master progamme in Fluid Mechanics 

It is not possible to sign up for this subject via the Student Web. Please contact your study programme for registration.

Prerequisites

Recommended previous knowledge

The subject should be taken after MAT1100 - Calculus,  MAT1110 - Calculus and linear algebra, MAT-INF1100 - Modelling and computations, MAT1120 - Linear algebra and MEK1100 - Vector Calculus.

Overlapping courses

• 7 credits overlap with MEK2200 ¨C Continuum Mechanics
• 7 credits overlap with MEK3220 ¨C Continuum Mechanics (discontinued)
• 7 credits overlap with MEK4220 ¨C Continuum Mechanics (discontinued)

Teaching

Self study under supervision.

Examination

2 mandatory assignments, and in addition 1 larger project assignment with written report that must be approved before one can take the exam.

The oral hearing of the project assignment is included as part of the final oral exam.

Final oral examination.

Language of examination

You may write your examination paper in Norwegian, Swedish, Danish or English.

Grading scale

Grades are awarded on a scale from A to F, where A is the best grade and F is a fail. Read more about the grading system.

Explanations and appeals

• Explanation of grades and appeals

Resit an examination

Students who can document a valid reason for absence from the regular examination are offered a postponed examination at the beginning of the next semester.

Re-scheduled examinations are not offered to students who withdraw during, or did not pass the original examination.

Withdrawal from an examination

It is possible to take the exam up to 3 times. If you withdraw from the exam after the deadline or during the exam, this will be counted as an examination attempt.

Special examination arrangements

Application form, deadline and requirements for special examination arrangements.