# 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

### 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

• Bernoulli’s equation - assumptions and applications, 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, qualitative idea of boundary layer and separation, streamlined and bluff bodies, drag and lift forces

• Flow measurements −

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