617-0970/01 – Multiphase Hydrodynamics (VFH)

Gurantor departmentDepartment of ChemistryCredits10
Subject guarantorprof. Ing. Marek Večeř, Ph.D.Subject version guarantorprof. Ing. Marek Večeř, Ph.D.
Study levelpostgraduateRequirementChoice-compulsory type B
YearSemesterwinter + summer
Study languageCzech
Year of introduction2019/2020Year of cancellation
Intended for the facultiesFMTIntended for study typesDoctoral
Instruction secured by
LoginNameTuitorTeacher giving lectures
VEC05 prof. Ing. Marek Večeř, Ph.D.
Extent of instruction for forms of study
Form of studyWay of compl.Extent
Full-time Examination 28+0
Part-time Examination 28+0

Subject aims expressed by acquired skills and competences

- Understands of relations between dispersion structure and how it effect of macroscopic behavior. - Knows quantities for particle size characterization and interaction between particles and bulk. - Is able to consider study of multiphase systems as continuum. - Is able to formulate hydrodynamic boundary conditions on the interface. - Knows fundamental principles of equation of motion for two phase flows.

Teaching methods

Individual consultations


Multiphase Hydrodynamics - The subject deals with a general introduction to the science of relatively difficult, hydrodynamics of multiphase systems. This is the flow of liquids (liquids and gases) that contain dispersed particles of some other phase (eg other states). These are, for example, the following systems: gas bubbles in the liquid (bubbled columns), oil drops in water (extraction), solid particles in the liquid (sedimentation) or droplets in the gas (aerosols), solid particles in the gas (fluidization, aerosols). The subject will be given a comprehensive overview of the subject and specific topics will be selected for detailed study according to the student's previous training and the focus of the dissertation.

Compulsory literature:

CLIFT, R., GRACE, J.R., WEBER, M.E. Bubbles, drops and particles. New York: Academic Press, 1978 (též Dover 2005). BRENNEN, C.E. Fundamentals of multiphase flow. Cambridge University Press, 2005.

Recommended literature:

Sir Horace LAMB, A treatise on the mathematical theory of the motion of fluids. Cambridge: The University Press, 1879. REYNOLDS, O., An experimental investigation of the circumstances which determine whether the motion of water in parallel channels shall be direct or sinuous and of the law of resistance in parallel channels. Philos. Trans. 174, 935-982, 1883. VALENTIN, F.H.H. Absorption in gas-liquid dispersions: some aspects of bubble technology. London: E.&F.N. SPON Ltd., 1967. KAŠTÁNEK, F., ZAHRADNÍK, J., KRATOCHVÍL, J., ČERMÁK, J. Chemical reactors for gas-liquid systems. Chichester, UK: Ellis Horwood, 1993. KOLEV, N.I. Multiphase flow dynamics, vol. 1-5. Berlin: Springer, 2002-2005. AZZOPARDI, B.J., MUDDE, R.F., LO, S., MORVAN, H., YAN, Y.Y., ZHAO, D. Hydrodynamics of gas-liquid reactors. Chichester, UK: John Wiley, 2011.

Way of continuous check of knowledge in the course of semester

Oral exam.


Other requirements

Specification with respect of PhD thesis topic.


Subject has no prerequisities.


Subject has no co-requisities.

Subject syllabus:

Multiphase liquid systems. Material engineering of multiphase systems. Rheology, heat transport. Interphase characterization. Surface tension. Balance of forces. Zeta potential. Preparation of dispersions, dispersion stability. Qualification of dispersions, PSD – particle size distribution. Dispersions as pseudo continuum, non-Newtonian liquids, Viscometric flows. Momentum balance for non-Newtonian liquids. Examples. Dynamics of solid particles dispersions. Fluidization, flocculation. Dynamics of single drop and bubble. Bubble layers, foams, emulsions, creams. Bubble and drop generation. Interphase waves. Breakup and coalescence. Force equilibrium on the interphase. Mathematical modeling of hydrodynamics of two phase flows. Micro dispersions, nano dispersions, macromolecular systems. Viscoelasticity, viscoplasticity. Multiphase reactors.

Conditions for subject completion

Full-time form (validity from: 2019/2020 Winter semester)
Task nameType of taskMax. number of points
(act. for subtasks)
Min. number of pointsMax. počet pokusů
Examination Examination   3
Mandatory attendence participation:

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Occurrence in study plans

Academic yearProgrammeBranch/spec.Spec.ZaměřeníFormStudy language Tut. centreYearWSType of duty
2021/2022 (P0712D130002) Chemical and environmental engineering P Czech Ostrava Choice-compulsory type B study plan
2021/2022 (P0712D130002) Chemical and environmental engineering K Czech Ostrava Choice-compulsory type B study plan
2020/2021 (P0712D130002) Chemical and environmental engineering P Czech Ostrava Choice-compulsory type B study plan
2020/2021 (P0712D130002) Chemical and environmental engineering K Czech Ostrava Choice-compulsory type B study plan
2019/2020 (P0712D130002) Chemical and environmental engineering P Czech Ostrava Choice-compulsory type B study plan

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Block nameAcademic yearForm of studyStudy language YearWSType of blockBlock owner

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