HYDRAULIC ENGINEERING

What is Hydraulic Engineering?

The movement and transportation of fluids, especially water and sewage, is the focus of hydraulic engineering. One of these systems’ unique features is the extensive utilization of gravity as the driving factor for fluid movement. Civil engineering includes bridges, dams, channels, canals, and levees, as well as sanitary and environmental engineering. 

Hydraulic engineering is the application of fluid mechanics ideas to water collection, storage, control, transport, regulation, measurement, and consumption concerns. The hydraulic engineer creates conceptual designs for numerous water-related elements, such as dam spillways and outlet works, highway culverts, irrigation canals and related structures, and thermal power plant cooling-water facilities.

Fluid Mechanics

Fluid mechanics is the discipline of science that studies the behavior of fluids while in motion or at rest. Whether the fluid is at rest or in motion, it is susceptible to a variety of forces and external variables, as we all know. It responds in these situations in accordance with its physical features. Fluid mechanics is concerned with three elements of the fluid: statics, kinematics, and dynamics.

Fluid statics: This studies the fluid in a state of rest

Fluid kinematics: Fluid kinematics: “moving fluid” refers to fluid in motion, and fluid kinematics is the study of it. 

Fluid dynamics is the study of the effect of all pressures, including external pressures, on a moving fluid. 

FLUID PROPERTIES AND FLOW CHARACTERISTICS

PROPERTIES OF FLUID

MASS DENSITY (ρ)

The amount of fluid contained in a unit volume. 

MASS DENSITY

HYDRAULIC ENGINEERING: Mass density

SPECIFIC VOLUME (v)

The fluid’s volume per unit mass.


specific volume
specific volume

SPECIFIC WEIGHT (w)

specific weightsince W = mg and ρ = m/ V

Hydraulic Engineering: Specific weight symbol

SPECIFIC GRAVITY (S)

The dimensionless of the specific weight (or density) of a fluid to the specific weight ( or density) of a standard fluid.

Specific gravity

Specific gravity symbol

VISCOSITY (μ)viscosity formulaViscosity symbol

DYNAMIC VISCOSITY (μ)

The property of fluid which determines the amount of its resistance to shearing stress, τ

Dynamic Viscosity

DYNAMIC VISCOSITY (μ)

Unit ConversionUnit conversion

KINEMATIC VISCOSITY (ϒ)

The ratio of a fluid’s dynamic viscosity to its density.

kinematic viscosity formulaKinematic viscosity

Unit Conversion

Unit conversion

PROBLEM WITH VISCOSITY FOR PLATE TYPE

FORCE (F)Force on plate formulaForce on plate

POWER (P)Power on platePower

PROBLEM WITH VISCOSITY FOR SHAFT TYPE

VELOSITY SHAFT (u)velocity of shaft (u)

FORCE (F)Force on shaft

TORQUE ON SHAFT (T)Torque on shaft formula

POWER ON SHAFT (P)

Power on shaft

CONICAL BEARING VISCOSITY PROBLEMS

ANGULAR VELOSITY (ω)Angular velocity

ANGLE (θ)ANGLE (θ)

POWER (P)Power on conical bearing formula

THICKNESS OF OIL (h)Thickness of oil

CAPILLARITY

LIQUID HEIGHT IN TUBE (h)LIQUID HEIGHT IN TUBE

SURFACE TENSION

LIQUID DROPLET PRESSURE (P)LIQLIQUID DROPLET PRESSURE

PRESSURE IN BUBBLE (P)PRESSURE IN BUBBLE

PRESSURE IN LIQUID JET (P)PRESSURE IN LIQUID JET

CONTINUITY EQUATIONContinuity equation

BERNOULLI’S EQUATIONBERNOULLI'S EQUATION

COEFFICIENT OF DISCHARGECoefficient discharge

COEFFICIENT OF VELOCITYCOEFFICIENT OF VELOCITY

DISCHARGE OF VENTURIMETER & ORIFICEMETER DISCHARGE OF VENTURIMETER & ORIFICEMETER

MOMENTUM EQUATIONMomentum equation

FORCE ACTING IN X- DIRECTIONFORCE ACTING IN X- DIRECTION

FORCE ACTING IN Y- DIRECTIONFORCE ACTING IN Y- DIRECTION

RESULTANT FORCEResultant force

ANGLE MADE BY RESULTANT FORCEANGLE MADE BY RESULTANT FORCE

MOMENT OF MOMENTUM EQUATIONMOMENT OF MOMENTUM EQUATION

FLOW THROUGH CIRCULAR CONDUITS

TOTAL ENERGY LINE (TEL)

TEL = Pressure Head + Kinetic Head + Datum Head

TOTAL ENERGY LINE

HYDRAULIC ENERGY LINE (HEL)

HEL = Pressure Head + Datum Head

HYDRAULIC ENERGY LINE

HAGEN POISEUILLE’S EQUATION

SHEAR STRESSShear stress

VELOCITYVelocity

MAXIMUM VELOCITYMaximum velocity

AVERAGE VELOCITYAVERAGE VELOCITY

THE RATIO BETWEEN MAXIMUM VELOCITY & AVERAGE VELOCITYRATIO BETWEEN MAXIMUM VELOCITY & AVERAGE VELOCITY

DISCHARGEDischarge

PRESSURE DIFFERENCEPRESSURE DIFFERENCE

LOSS OF HEADLOSS OF HEAD

DARCY  WEISBACH EQUATIONDARCY  WEISBACH EQUATION

MAJOR LOSS IN PIPESMAJOR LOSS IN PIPES

MINOR LOSS IN PIPES

LOSS DUE TO SUDDEN ENLARGEMENTLOSS DUE TO SUDDEN ENLARGEMENT

 

LOSS DUE TO SUDDEN CONTRACTION

LOSS AT PIPE ENTRANCELOSS AT PIPE ENTRANCE

LOSS AT PIPE EXITLOSS AT PIPE EXIT

LOSS DUE TO GRADUAL CONTRACTIONLOSS DUE TO GRADUAL CONTRACTION

LOSS AT BEND OF PIPELOSS AT BEND OF PIPE

LOSS AT DUE TO VARIOUS FITTINGSLOSS AT DUE TO VARIOUS FITTINGS

LOSS AT DUE TO OBSTRUCTIONLOSS AT DUE TO OBSTRUCTION

WHEN A SERIES OF PIPES IS CONNECTED

DISCHARGEDISCHARGE

HEAD LOSSHEAD LOSS

EQUIVALENT PIPEEQUIVALENT PIPE

BOUNDARY LAYER

DISPLACEMENT THICKNESSDISPLACEMENT THICKNESS

MOMENTUM THICKNESSMOMENTUM THICKNESS

MOMENTUM THICKNESSMOMENTUM THICNESS

SHEAR STRESSSHEAR STRESS

DRAG FORCEDRAG FORCE

LOCAL COEFFICIENT OF DRAGLOCAL COEFFICIENT OF DRAG

AVERAGE COEFFICIENT OF DRAGAVERAGE COEFFICIENT OF DRAG

BLASIUS’S SOLUTION

BOUNDARY LAYER THICKNESSBOUNDARY LAYER THICKNESS

LOCAL COEFFICIENT OF DRAGLOCAL COEFFICIENT OF DRAG

AVERAGE COEFFICIENT OF DRAGAVERAGE COEFFICIENT OF DRAG