Fluid Mechanics

Ingegneria Gestionale Fluid Mechanics

0612600009
DIPARTIMENTO DI INGEGNERIA INDUSTRIALE
EQF6
INDUSTRIAL ENGINEERING AND MANAGEMENT
2022/2023

OBBLIGATORIO
YEAR OF COURSE 3
YEAR OF DIDACTIC SYSTEM 2018
AUTUMN SEMESTER
CFUHOURSACTIVITY
660LESSONS
Objectives
THE COURSE PURPORTS TO PROVIDE KNOWLEDGE ON GENERAL SCIENTIFIC CONTENTS AND METHODOLOGICAL-OPERATIONAL ASPECTS OF FLUID MECHANICS. IN PARTICULAR, THE COURSE AIMS TO PROVIDE KNOWLEDGE OF THE FUNDAMENTAL EQUATIONS GOVERNING THE MOTION OF A FLUID AND THE ACQUISITION OF THE ABILITY TO PROPERLY SIZE THOSE FLUID SYSTEMS THAT ARE GOVERNED BY A SIMPLE ONE-DIMENSIONAL BALANCE.

THE MAIN KNOWLEDGE ACQUIRED DURING THE COURSE WILL BE:
• DESCRIPTION OF THE MATTER AS A CONTINUUM
• FLUID STATICS
• BALANCE EQUATIONS ON A FINITE VOLUME,
• BALANCE EQUATIONS ON AN INFINITESIMAL VOLUME
• BERNOULLI'S LAW
• CURRENTS WITH NEGLIGIBLE ACCELERATION
• POTENTIAL FLOW
• BOUNDARY LAYER FLOW
• TURBULENT FLOW IN DUCTS.

THE MAIN SKILLS ACQUIRED BY STUDENTS DURING THE COURSE WILL BE:
• TO PROPERLY SIZE THOSE FLUID SYSTEMS WHOSE CHARACTERISTICS DERIVE FROM A SIMPLE ONE-DIMENSIONAL BALANCE
• TO DETERMINE FORCES AND TORQUES ACTING ON SYSTEMS IN CONTACT WITH A FLUID AT REST OR IN MOTION.
• TO DERIVE THE BASIC DIMENSIONLESS PARAMETERS THAT DETERMINE THE BEHAVIOUR AND THE PERFORMANCES OF A FLUID SYSTEM.
• TO OBTAIN AN OVERVIEW OF THE DIFFERENT BEHAVIOURS THAT A FLUID CAN MANIFEST, DESCRIBING IN A SIMPLIFIED MANNER (BOTH QUALITATIVELY AND QUANTITATIVELY) THEIR MAIN FEATURES.
• TO ACQUIRE AND USE A SCIENTIFIC TERMINOLOGY APPROPRIATE TO DESCRIBING AND MODELLING A FLUID SYSTEM.
Prerequisites
FOR THE SUCCESSFUL ACHIEVEMENT OF THE OBJECTIVES, THE KNOWLEDGE IS REQUIRED OF THE CLASSES OF MATHEMATICS I AND II, PHYSICS I AND THERMODYNAMICS AND HEAT TRANSFER
Contents
THE CONTINUOUS DESCRIPTION OF MATTER (10H): LOCAL CONSERVED PROPERTIES OF A CONTINUOUS SYSTEM. BALANCE EQUATIONS (3H). PROPERTIES OF FLUIDS (3H). GENERAL FORM OF MOMENTUM FLUX. MASS AND SURFACES FORCES (4H). THE STRESS TENSOR (1H).
FLUID STATICS (4H): EQUATION OF HYDROSTATICS. MANOMETERS. FORCES ON SUBMERGED SURFACES. FLOATING BODIES.
BALANCE EQUATIONS ON FINITE VOLUMES (3H): THE REYNOLDS TRANSPORT THEOREM. CONSERVATION OF MASS (2H). MOMENTUM AND ANGULAR MOMENTUM. THRUST ON A CONDUIT WITH VARIABLE SECTION AND ON A CURVE. THRUST OF A JET. DIMENSIONAL ANALYSIS(4H).
BALANCE EQUATIONS ON AN INFINITESIMAL VOLUME (4H): FLOW LINES, SURFACES AND FLUX TUBES. THE SUBSTANTIAL DERIVATIVE. NEWTON'S LAW OF VISCOSITY. THE NAVIER-STOKES EQUATIONS (5H). THE EULER EQUATIONS. CURRENT LINES AND THEIR REPRESENTATION. COUETTE AND POISEUILLE FLOW BETWEEN PARALLEL PLATES AND IN A CYLINDRICAL CONDUIT. PLATE SET IN MOTION IMPULSIVELY.
BERNOULLI'S LAW (3H): STATIC PRESSURE, DYNAMIC AND TOTAL. PRESSURE DROP AND PREVALENCE. VENTURI METER AS AND FOR SUCKING.
CURRENT WITH NEGLIGIBLE ACCELERATION (3H): THE THEORY OF REYNOLDS LUBRICATION; THE READ HEAD OF A MAGNETIC DISK. WORK TO CURRENT STOKES AROUND A SPHERE AND A CYLINDER.
POTENTIAL FLOW (3H): FIELDS OBTAINABLE AS A SIMPLE SUPERPOSITION OF WELLS AND SPRINGS. GENERATION OF LIFT. DEFINITION OF THE COEFFICIENTS OF LIFT AND DRAG.
THE BOUNDARY LAYER (3H): CONCEPT OF SIMILARITY. BOUNDARY LAYER ON A FLAT PLATE. CALCULATION OF THE RESISTANCE. QUALITATIVE DESCRIPTION OF THE PHENOMENA ASSOCIATED WITH THE SEPARATION.
TURBULENT FLOW IN DUCTS (5H): PROPERTIES OF TURBULENCE. THE VELOCITY PROFILE. THE LAW OF PRANDTL FRICTION. THE MOODY DIAGRAM. CURRENT IN THE STRAIGHT PIPES AND FITTINGS THROUGH PIPE. BIFURCATIONS. FLOW MEASUREMENTS.
Teaching Methods
THE COURSE IS BASED ON LECTURES, CLASSROOM EXERCISES AND MOVIE PROJECTIONS. CLASSROOM EXERCISES ARE USUALLY RELATED TO THE THEORY AND ARE CARRIED OUT WITH THE INVOLVEMENT OF THE STUDENTS. SHORT MOVIES CONCERNING EXPERIMENTS ARE PROJECTED FOR ILLUSTRATIVE PURPOSES TO BETTER UNDERLINE SOME PRACTICAL AND THEORETICAL ASPECTS OF THE COVERED TOPICS.
Verification of learning
THE ACHIEVEMENT OF THE OBJECTIVES WILL BE ASSESSED THROUGH A WRITTEN TEST LASTING ABOUT TWO HOURS, COMPRISED OF BOTH THE ANSWER TO THEORETICAL QUIZZES AND THE SOLUTION OF EXERCISES. INTEGRAL TO THE EVALUATION, WHERE TAKEN, WILL BE TESTS OF THE SAME FORMAT CARRIED OUT DURING THE CLASS.

THE MINIMUM MARK (18) IS ACHIEVED BY SOLVING IN THE CORRECT WAY THE 60 % OF WRITTEN EXAM.

THE MAXIMUM MARK (30) IS GIVEN TO THE STUDENT WHO IS ABLE TO DEMONSTRATE, IN THE WRITTEN EXAM, THE ABILITY OF APPLYING THE STUDIED METHODS TO DIFFERENT CONTEXTS.
Texts
Y. ÇENGEL, J.M. CIMBALA, FLUID MECHANICS: FUNDAMENTALS AND APPLICATIONS, MCGRAW-HILL 4A ED 2007

FURTHER STUDY REFERENCES:
D. PNUELI, C. GUTFINGER: FLUID MECHANICS. CAMBRIDGE UNIVERSITY PRESS 1997
D. J. ACHESON: ELEMENTARY FLUID DYNAMICS. OXFORD UNIVERSITY PRESS 1990
G. K. BATCHELOR: AN INTRODUCTION TO FLUID DYNAMICS. CAMBRIDGE UNIVERSITY PRESS 2000
R. L. PANTON: INCOMPRESSIBLE FLOW. WILEY 1995
P. LUCHINI: ONDE NEI FLUIDI, INSTABILITÀ E TURBOLENZA. DIPARTIMENTO DI PROGETTAZIONE AERONAUTICA, UNIVERSITÀ DI NAPOLI, 1993
P. LUCHINI, M. QUADRIO: AERODINAMICA. DIPARTIMENTO DI INGEGNERIA AEROSPAZIALE, POLITECNICO DI MILANO, 2000-2002; (CONSULTABILE SU HTTP://PCQUADRIO.AERO.POLIMI.IT/IT/DIDATTICA/AERODINAMICA.HTML)
F. M. WHITE, FLUID MECHANICS, MCGRAW-HILL VI EDIZIONE
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