# GTU Aeronautical Engineering Syllabus

GUJARAT TECHNOLOGICAL UNIVERSITY

B.E Semester: 3

Aeronautical Engineering

Subject Code 130101

Subject Name Fluid Mechanics

Sr.No Course content

1. Fluids and Their Properties:

Fluids, Shear stress in a moving fluid, Difference between solid and fluid,

Newtonian and Non-Newtonian Fluid, Liquids and Gases, Molecular

structure of material, the continuum concept of a fluid, density, viscosity,

causes of viscosity in gases, causes of viscosity in a liquid, Surface tension,

capillary, vapor pressure, cavitation, compressibility and the bulk modulus,

Equation of states of a gas constant, Specific heats of a gas, Expansion of

a gas.

2. Pressures and Head:

Static’s of a fluid system, pressure, Pascal’s law of pressure at a point,

variation of pressure vertically in a fluid under gravity, equality of pressure

at the same level in a static fluid, general equation for the variation of

pressure due to gravity from a point to point in a static fluid, pressure and

head, the hydrostatic paradox, pressure measurements by manometers,

forced vortex

3. Static Forces on Surface and Buoyancy:

Action of fluid pressure on surface, resultant force and center of pressure

on a plane surface under uniform pressure, resultant force and center of

pressure on a plane surface immersed in a liquid, pressure diagrams,

forces on a curved surface due to hydrostatic pressure, buoyancy,

equilibrium of floating bodies, stability of a submerged body, stability of

floating bodies, determination of the metacentric height, determination of

the position of the metacentre relative to the center of buoyancy, periodic

time of oscillation.

4. Motion of Fluid Particles and Streams:

Fluid flow, different types of flow, frames of reference, real and ideal fluids,

analyzing fluid flow, motion of a fluid particle, acceleration of a fluid particle,

discharge and mean velocity, continuity of flow, continuity equations for 2-D

and 3-D flow in Cartesian coordinates of system.

5. The Energy Equation and its Application:

Momentum and fluid flow, Momentum equation for 2-D and 3-D flow along a

stream line, momentum correction factor, Euler’s equation of motion along a

stream line, Mechanical energy of a flowing fluid – Bernoulli’s theorem,

kinetic energy correction factor, pitot tube, determination of volumetric flow

rate via pitot tube, changes of pressure in tapering pipe, principle of venturi

meter, pipe orifices, Limitation on the velocity of flow in a pipeline, theory of

small orifices discharging to atmosphere, theory of large orifices,

Elementary theory of notches and weirs, flow in a curved path, pressure

gradient and change of total energy across the streamlines.

6. Two-Dimensional Ideal Fluid Flow:

Rotational and ir-rotational flow, circulation and vorticity, streamlines and

the stream functions, velocity potential and potential flow, relation between

stream function and velocity potential; flow nets, stream function and

velocity potential for uniform flow, vortex flow.

7. Dimensional Analysis And Similarities:

Dimensional analysis, dimensions and units, dimension reasoning,

dimensional quantities, Fundamental and derived units and dimensions,

dimensions of derivative and integrals, use of dimensional reasoning to

check calculations, units of derived quantities, conversion from one system

of unit to another, conversion of dimensional constants, dimensional

homogeneity, dimensional analysis using the indicial method- Rayleigh’s

method, dimensional analysis using group method-Buckingham ? theorem,

significance of dimensionless group, use of dimensionless groups in

experimental investigation, geometric similarity, dynamic similarity,

Kinematic similarity, Model testing-Model laws, Undistorted and Distorted

models.

8. Viscous Flow:

Reynolds number and Reynolds experiment, flow of viscous fluid through

circular pipe-HAGEN-POISEVILLE LAW, Flow of viscous fluid between two

parallel fixed plates, power absorbed in viscous flow through – journal ,Foot

step and Collar bearing , Movement of piston in dash pot, Methods of

Measurement of viscosity.

9. Compressible Fluid Flow :

Basic Thermodynamic relations, Basic thermodynamic processes, Basic

equations for one dimensional compression, stagnation properties,

pressure wave propagation and sound velocity, Flow through nozzles.

10. Turbulent Flow:

Characteristics of diff. types of flow, expression for coefficient of friction –

Darchy Weichback Equation, moody diagram resistance of smooth and

rough pipes shear stress and velocity distribution in turbulent flow through

pipes.

Reference Books:

1. Fluid Mechanics and Fluid Power Engineering by D.S. Kumar, S.K.Kataria &

Sons

2. Fluid Mechanics and Hydraulic Machines by R.K. Bansal, Laxmi Prakashan

3. Fluid Mechanics and Hydraulic Machines by R.K. Rajput , S.Chand & Co.

4. Theory and Applications of Fluid Mechanics by K.Subramanya, TMH outline

series, Tata McGraw Hill Publishing Company Ltd.

5. Fluid Mechanics by Frank .M. White, McGraw Hill Publishing Company Ltd.

6. Mechanics of Fluids by Shames, McGraw Hill Publishing Company Ltd.