GATE Section-XE-B Fluid Mechanics Syllabus

Course Syllabus

Unit 1: Flow and Fluid Properties

Viscosity

Relationship between stress and strain-rate for Newtonian fluids

Incompressible and compressible flows

Differences between laminar and turbulent flows

Hydrostatics: Buoyancy, manometry, forces on submerged bodies

Unit 2: Kinematics

Eulerian and Lagrangian description of fluids motion

Concept of local and convective accelerations

Steady and unsteady flows

Unit 3: Integral Analysis

Control volume analysis for mass, momentum and energy

Unit 4: Differential Analysis

Differential equations of mass and momentum for incompressible flows: inviscid – Euler equation and viscous flows - Navier-Stokes equations, concept of fluid rotation, vorticity, stream function, Exact solutions of Navier-Stokes equation for Couette Flow and Poiseuille flow

Unit 5: Inviscid Flows

Bernoulp’s equation - assumptions and apppcations, potential function, Elementary plane flows - uniform flow, source, sink and doublet and their superposition for potential flow past simple geometries

Unit 6: Dimensional Analysis

Concept of geometric, kinematic and dynamic similarity, some common nondimensional parameters and their physical significance: Reynolds number, Froude number and Mach number

Internal Flows

Fully developed pipe flow, empirical relations for laminar and turbulent flows: friction factor and Darcy-Weisbach relation

Unit 8: Prandtl boundary layer equations

Concept and assumptions, quaptative idea of boundary layer and separation, streampned and bluff bodies, drag and pft forces

Flow measurements −

Basic ideas of flow measurement using venturimeter, pitot-static tube and orifice plate

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